Answers
it can be concluded that [tex]\( \angle BAD = \angle CBD \) and \( \angle ABD = \angle BCD \).[/tex] So, all three angles are equal.
From the given information:
[tex]\( \angle BAD + \angle ABD = 90^\circ \)[/tex]
[tex]\( \angle CBD + \angle BCD = 90^\circ \)[/tex]
[tex]\( \angle ABD + \angle DBC = 90^\circ \)[/tex]
[tex]\( \angle BAD + \angle BCD = 90^\circ \)[/tex]
We can see that:
[tex]\( \angle BAD + \angle ABD = \angle CBD + \angle BCD \)[/tex]
[tex]\( \angle BAD + \angle BCD = \angle ABD + \angle DBC \)[/tex]
[tex]\( \angle BAD + \angle BCD = \angle BAD + \angle BCD \)[/tex]
From equations (1) and (2), we can conclude that:
[tex]\[ \angle BAD + \angle ABD = \angle CBD + \angle BCD = \angle ABD + \angle DBC \][/tex]
This implies that [tex]\( \angle ABD = \angle CBD \) and \( \angle BCD = \angle DBC \).[/tex]
Therefore, it can be concluded that [tex]\( \angle BAD = \angle CBD \) and \( \angle ABD = \angle BCD \).[/tex] So, all three angles are equal.
The complete question is:
According to the diagram below, which similarity statements are true? Check all that apply.
A. △ ABDsim △ BCD
B. △ ABCsim △ BDC
C. △ ABCsim △ ADB
D. △ ABDsim △ ADC
The similarity statements that are true are:
A. [tex]\(\triangle ABD \sim \triangle BCD\)[/tex]C. [tex]\(\triangle ABC \sim \triangle ADB\)[/tex]D. [tex]\(\triangle ABC \sim \triangle BDC\)[/tex][tex]\(\triangle ABD \sim \triangle BCD\):[/tex]
- Since D lies on AC and [tex]\( \angle ADB = \angle BDC = 90^\circ \),[/tex] both [tex]\(\triangle ABD\)[/tex]and \[tex](\triangle BCD\)[/tex]share [tex]\( \angle ADB = \angle BDC \).[/tex]
- They both share the common angle [tex]\( \angle B \).[/tex]
- Therefore, [tex]\(\triangle ABD \sim \triangle BCD\).[/tex]
[tex]\(\triangle ABC \sim \triangle ADB\):[/tex]
- Both triangles share the angle [tex]\( \angle A \).[/tex]
- They both have right angles at [tex]\( \angle ABC = \angle ADB = 90^\circ \).[/tex]
- Therefore, [tex]\(\triangle ABC \sim \triangle ADB\).[/tex]
[tex]\(\triangle ABC \sim \triangle BDC\):[/tex]
- Both triangles share the angle [tex]\( \angle C \).[/tex]
- They both have right angles at [tex]\( \angle ABC = \angle BDC = 90^\circ \).[/tex]
- Therefore, [tex]\(\triangle ABC \sim \triangle BDC\).[/tex]
Related Questions
please help me with this geometry question
image attached
Answers
Answer:c
Step-by-step explanation:
3m. The wall of the building is 3m far from the base of the ladder.
The key to solve this problem is use trigonometric ratios.
The cosine of the angle is the adjacent leg divided by the hypotenuse.
From the image attached we can modeling the problem as a right triangle, where we can see that the adjacent leg is the unknown, hypotenuse is 6m (long of the ladder), and the ladder make an angle of 60° leans againts the building's wall, and x is the long of the adjacent leg. To calculate how far is the base of the ladder from the wall:
Cos 60° = adjacent leg/hypotenuse
adjacent leg = cos 60° x hypotenuse
x = cos 60° (6m) = (0.5)(6m) = 3m
the function f(t)= -5t^2+20t +60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the objects to hit the ground?
Answers
Answer:
t = 6: It takes 6 seconds for the object to hit the ground
Step-by-step explanation:
So, we need to find t when the height is 0. Since -5t² + 20t + 60 represents the height, that needs to equal 0.
Equation: -5t² + 20t + 60 = 0
Divide by -5: t² - 4t - 12 = 0
Find two numbers that add up to -4t and multiply to -12t²: -6t, 2t
Substitute: t² - 6t + 2t - 12 = 0
Factor: (t - 6)(t + 2) = 0
Answers: t = 6, t = -2
Since time can't be negative, t = 6.
To determine the time it takes for the object to hit the ground, the quadratic equation -5t^2 + 20t + 60 = 0 is solved, leading to the conclusion that it takes 6 seconds for the object to reach the ground.
The question asks, "How many seconds does it take for the object to hit the ground?" given the function f(t) = -5t2 + 20t + 60. To find when the object hits the ground, we need to determine when the height f(t) is equal to 0. This involves solving a quadratic equation.
Steps to Solve:
Set the equation equal to zero: -5t2 + 20t + 60 = 0.
Divide the entire equation by -5 to simplify: t2 - 4t - 12 = 0.
Use the quadratic formula: t = (-B ± √(B2 - 4AC)) / 2A, where A = 1, B = -4, and C = -12.
Calculate the discriminant: √((-4)2 - 4(1)(-12)) = √(16 + 48) = √64 = 8.
Substitute values into the formula: t = (4 ± 8) / 2, yielding t = 6 seconds or t = -2 seconds.
Dismiss the negative value, as time cannot be negative, leaving t = 6 seconds as the solution.
Therefore, it takes the object 6 seconds to hit the ground after it is launched.
Enrique needs to buy hamburgers and hot dogs for a picnic. He has only $16.50 to spend and must buy AT LEAST 44 hamburgers or hot dogs. A store charges $.50 per hamburger and $0.25 per hot dog. Which of the following is a possible way Enrique might buy the hamburgers and hot dogs?
29 hamburgers and 15 hot dogs
25 hamburgers and 18 hot dogs
22 hamburgers and 23 hot dogs
20 hamburgers and 25 hot dogs
Answers
Answer: D.
Step-by-step explanation:
The answer is 20 hamburgers and 25 hot dogs.
20(.5)+25(.25)<16.5
10+6.25<16.5
16.25<16.5
The budget is $16.50 and $16.25 is $.50 less therefore making it a possible option for Enrique.
With his budget of $16.50, Enrique can afford to buy the fourth option, 20 hamburgers and 25 hot dogs, which totals $16.25.
Explanation:Let's calculate the cost of each option and see which ones Enrique can afford with his $16.50:
29 hamburgers and 15 hot dogs: (29 x $0.50) + (15 x $0.25) = $14.75 + $3.75 = $18.5025 hamburgers and 18 hot dogs: (25 x $0.50) + (18 x $0.25) = $12.50 + $4.50 = $1722 hamburgers and 23 hot dogs: (22 x $0.50) + (23 x $0.25) = $11.0 + $5.75 = $16.7520 hamburgers and 25 hot dogs: (20 x $0.50) + (25 x $0.25) = $10.0 + $6.25 = $16.25Looking at these calculations, we can see that Enrique could only afford to buy the fourth option, 20 hamburgers and 25 hot dogs, with his $16.50 as that totals $16.25, which is within his budget.
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Please please help me !!!
Answers
Answer:
4.95 in
Step-by-step explanation:
The area is the same, no matter how you find it.
(11 in)h = (9.9 in)(5.5 in) . . . . . area = base·height
h = (9.9·5.5/11) in = 4.95 in . . . . divide by 11 in
Which choice is equivalent to the expression below?
Answers
Answer: OPTION A
Step-by-step explanation:
We need to remember that Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Let's check the options:
A. For [tex]5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}}[/tex] you can apply the property mentioned before. Then:
[tex]5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}[/tex]
(It is the equivalent expression)
B. Add the exponents:
[tex]5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}[/tex]
(It is not the equivalent expression)
C. For [tex]5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}}[/tex] you can apply the property mentioned before. Then:
[tex]5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}[/tex]
(It is not the equivalent expression)
D. We know that [tex]5^{9.969}=9,290,347.808[/tex] and we maje the addition indicated in this option, we get:
[tex]5^9+5^{\frac{9}{10}}+6^{\frac{6}{100}}=1,953,130.37[/tex]
(It is not the equivalent expression)
Answer: A, i just took this test
Which even number is not a composite number
Answers
Answer:
2
Step-by-step explanation:
The only factors for this even numbers is itself and one. Other even numbers are composite because they can be divided by 2, but this number is 2 so it can only be divided by two numbers.
19) n? – 8n – 27 = 6
solve each equation by completing the square
Answers
Answer:
n=11 or n=-3
Step-by-step explanation:
Consider the quadratic equation [tex]n^2-8n-27=6.[/tex]
First, remind the formula
[tex](a-b)^2=a^2-2ab+b^2[/tex]
To complete the square, note that
[tex]8n=2\cdot n\cdot 4[/tex]
Hence, we need [tex]+4^2[/tex]
Add 16 to both sides of equation:
[tex]n^2-8n+16-27=6+16\\ \\(n-4)^2-27=22\\ \\(n-4)^2=49\\ \\n-4=7\text{ or }n-4=-7\\ \\n=11\text{ or }n=-3[/tex]
The fuction a (n) = 3n-7 represents the value of the nth term in a sequence. What is the sum of the 1st and 5th terms of the sequence
Answers
Answer:
1st term: -45th term: 8Step-by-step explanation:
Put the appropriate values of n in the formula and do the arithmetic.
a(1) = 3·1 -7 = -4
a(5) = 3·5 -7 = 8
The 1st and 5th terms are -4 and 8.
_____
The first few terms of the sequence are ...
-4, -1, 2, 5, 8, 11, 14, ...
To find the sum of the 1st and 5th terms of the sequence defined by the function a(n) = 3n - 7, calculate each term using their respective n value and add the results together, resulting in a sum of 4.
Explanation:When you are given the function a(n) = 3n - 7, which represents the value of the nth term in a sequence, the sum of the 1st and 5th terms of the sequence can be calculated by plugging in the values for n into the function for each term and adding the results.
For the 1st term (n = 1):
a(1) = 3(1) - 7 = 3 - 7 = -4
For the 5th term (n = 5):
a(5) = 3(5) - 7 = 15 - 7 = 8
The sum of the 1st and 5th terms is then:
-4 + 8 = 4
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Question VVVVVVVVVVVVVVVVVVVVVVVVVVVV
Answers
Answer:
{x| x≤ 1/2 or x ≥ 3/4}
Step-by-step explanation:
The values of x that make the factors zero are 3/4 and 1/2. The product of these factors will be positive when both factors are negative (for x < 1/2) or when both factors are positive (x > 3/4). The matching answer selection is the third one.
Best answer gets brainliest!
What are some equivalent expressions of 6(m + 2 + 7m)?
Answers
Answer:
See Explanation
Step-by-step explanation:
To write an equivalent expression, we can combine like terms. So m +7m is 8 and we get 6(8m+2).
Here are a few others:
48m+12
6(m+m+m+m+m+m+m+m+2)
3(16m+4)
6m+12+42m
6m+6m+6m+6m+6m+6m+6m+6m+2
and the list goes on...
[tex]\text{Hey there!}[/tex]
[tex]\text{In order for you to solve this equation, you need to DISTRIBUTE}[/tex]
[tex]\text{Formula: a(b + c) = ab + ac / if this equation: a(b + c + d) = ab + ac + ad}[/tex]
[tex]\text{6(m + 2 + m)}[/tex]
[tex]\text{6(m) = 6m}[/tex]
[tex]\text{6(2) = 12}[/tex]
[tex]\text{6(7m) = 42m}[/tex]
[tex]\text{Next, combine your like terms}\downarrow \\ \text{6m + 42m}\\ \text{The 12 stays the same because they AREN'T any like terms to compare it with}[/tex]
[tex]\text{6m + 42m = 48m}[/tex]
[tex]\text{12 = 12}[/tex]
[tex]\boxed{\boxed{\text{Answer: 48m + 12}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
A researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76% of those surveyed indicated that price was more important to them than where an item was produced. The researcher concluded that "about three quarters of the people in Springfield are more concerned with cost than where an item is made."This conclusion might be invalid because:
Answers
Answer and Explanation: The results of the survey would not be accurate to the whole of springfield, as the sample was not a random sample. A random sample is where each person in a given area (Springfield in this case) has an equal chance of being surveyed. In this case, only walmart shoppers were surveyed. Therefor, the results can only apply to shoppers at walmart, not the whole of Springfield.
Answer:
Step-by-step explanation:
Given that a researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76% of those surveyed indicated that price was more important to them than where an item was produced.
[tex]H_0: p=0.75\\H_a: p <0.75[/tex]
(One tailed test)
Sample proportion p = 0.76
p difference = 0.01
Std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.75(0.25)}{200} } \\=0.0433[/tex]
Test statistic z = p difference / std error = [tex]\frac{0.01}{0.0433} =0.23[/tex]
p value = 0.409
Since p >0.05 we accept null hypothesis.
There is no statistical evidence to prove that proportion >3/4 or 0.75
Which product of prime polynomials is equivalent to 36x3 – 15x2 – 6x? x(3x – 2)(4x + 1) 3x(3x – 2)(4x + 1) 3(x2 + 1)(4x – 1) 3(x2 + 1)(4x + 1)
Answers
Answer:
3x (3x-2)(4x+1)
Step-by-step explanation:
36x^3 – 15x^2 – 6x
factor out the "3x"
3x (12x^2-5x-2)
3x(3x - 2) (4x + 1)
= 9x^2 - 6x (4x + 1)
= 36x^3 + 9x^2 + - 24x^2 - 6x
= 36x^3 - 15x^2 - 6x
hope this helps!
The product of prime polynomials is equivalent to Option (A) [tex]3x(3x - 2)(4x + 1)[/tex].
Concept of prime polynomial -In mathematics, an irreducible polynomial (or prime polynomial) is approximately a non-constant polynomial that cannot be factored into the product of two non-constant polynomials. The expression can be expressed in product of prime polynomial by converting it into the factored form.
How to solve the given polynomial expression into product of prime polynomials ?Given polynomial expression = [tex]36x^{3} - 15x^{2} - 6x[/tex]
Solving the polynomial expression in factored form -
⇒ [tex]3x(12x^{2} - 5x - 2)[/tex]
⇒ [tex]3x(12x^{2} - 8x + 3x - 2)[/tex]
⇒ [tex]3x[4x(3x - 2) + 1(3x - 2)][/tex]
⇒ [tex]3x(3x - 2)(4x + 1)[/tex]
Therefore the product of prime polynomial is [tex]3x(3x - 2)(4x + 1)[/tex]
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In scalene triangle abc, m∠b=45° and m∠c=55°. what is the order of the sides in length, from longest to shortest?
Answers
The order of the sides of the triangle is bc>ab>ac as per the rule that side opposite to the larger angle is larger
According to the rule that the side opposite to the larger angle is larger. The order of the sides of the triangle is bc>ab>ac .
How do find if a triangle with a specific side length exists or not?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
Then, if these three values satisfy the relation:
[tex]a < b +c\\b < a + c\\c < a + b[/tex]
Then they are for sure the side length of a triangle.
In scalene triangle ABC, m∠b=45° and m∠c=55°.
The order of the sides of the triangle is bc>ab>ac according to the rule that the side opposite to the larger angle is larger.
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Which choice shows a true conditional with the hypothesis and conclusion correctly identified?
• if today is Wednesday, then tomorrow is Thursday.
Hypothesis: Tomrrow is Thursday. Conclusion: Today is Wednesday
• if today is Wednesday, then tomrrow is Thursday.
Hypothesis: Tomrrow is Thursday Conclusion: today is not Wednesday
• Tomrrow is Friday if today is Wednesday.
Hypothesis: Today is Wednesday Conclusion: Tomorrow is Friday
• tomrrow is Thursday if today is Wednesday.
Hypothesis: today is Wednesday Conclusion: Tomrrow is Thursday
Answers
Answer: Choice A
Step-by-step explanation:
I'm bad at explaining things, sorry!
Answer:
Tomorrow is Thursday if today is Wednesday
Hypothesis: Today is Wednesday .
Conclusion: Tomorrow is Thursday.
Step-by-step explanation:
Given
1. If today is Wednesday , then tomorrow is Thursday.
Hypothesis p : Today is Wednesday .
Conclusion q : Tomorrow is Thursday .
Conditional statement: [tex]p\implies q[/tex]
But given
Hypothesis : Tomorrow is Thursday .
Conclusion: Today is Wednesday .
Converse statement; [tex]q\implies P[/tex]
Therefore, the given statement is converse not conditional.
2. If today is Wednesday , then tomorrow is Thursday.
Given
Hypothesis p: Tomorrow is Thursday.
Conclusion q: Today is not Wednesday.
Statement :[tex]q\implies \neg p[/tex]
Hence, it is not a true conditional statement.
3.Tomorrow is Friday if today is Wednesday.
Given
Hypothesis: Today is Wednesday.
Conclusion: Tomorrow is Friday.
It is not a true conditional statement.
4. Tomorrow is Thursday if today is Wednesday.
Given
Hypothesis p: Today is Wednesday.
Conclusion q: Tomorrow is Thursday.
Then the statement : [tex]p\implies q[/tex]
It is a true conditional statement.Because when hypothesis true and conclusion is true then the conditional is true.
A truck driver travels at 59 miles per hour. The truck tires have a diameter of 30 inches. What is the angular velocity of the wheels in revolutions per minute (rpm)?
Answers
Answer:
[tex]661.4\ rpm[/tex]
Step-by-step explanation:
we know that
1 mile=63,360 inches
step 1
Find the circumference of the wheels
[tex]C=2\pi r[/tex]
we have
[tex]r=30/2=15\ in[/tex] -----> the radius is half the diameter
substitute
[tex]C=2\pi(15)[/tex]
[tex]C=30\pi\ in[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]C=30(3.14)=94.2\ in[/tex]
Remember that
The circumference of the wheels represent one revolution
Convert 59 miles per hour to inches per minute
[tex]59\ mi/h=59*63,360/60=62,304\ in/min[/tex]
using proportion find the number of revolutions
[tex]\frac{1}{94.2}\frac{rev}{in}=\frac{x}{62,304}\frac{rev}{in}\\ \\x=62,304/94.2\\ \\x=661.4\ rev[/tex]
therefore
substitute
[tex]62,304\ in/min=661.4\ rev/min=661.4\ rpm[/tex]
the angular velocity of the truck's wheels is approximately 661.03 rpm
We need to first convert 59 mph into in/h. For this we can use the conversion factor:
[tex]1\ mile = 63360\ in[/tex]
Thus, 59 mph in ft/h will be:
[tex]59 \times 63360 = 3738240\ in/h[/tex]
Now we need to convert this into in/min for which we can use the conversion factor:
[tex]1\ hour = 60\ minute[/tex]
So, on converting we get:
[tex]\frac{3738240}{60} = 62304\ in/min[/tex]
Radius of tire will be half of its diameter. Thus radius = 15 in
Circumference of tire can be calculated by using the formula:
[tex]circumference = 2 \pi r[/tex]
Putting in values we get:
[tex]Circumference = 2 \times \pi \times 15 \approx 94.25\ in[/tex]
To determine the number of rotations per minute we need to divide speed of tire by the circumference of tire as follows:
[tex]rpm = \frac{speed}{circumference}\\\\\\rpm = \frac{62304}{94.25} \approx 661.03\ rpm[/tex]
Therefore, the angular velocity of the truck's wheels is approximately 661.03 rpm
A small factory planned to produce a batch of men’s shirts in 8 days. But producing 10 more shirts per day than planned, they finished the task one day early. How many shirts per day was the factory planning to produce?
Answers
70 shirts per day
We simply need to find how many shirts would have been produced on the 8th day. This can be done by multiplying the number of extra shirts produced per day by the number of days extra shirts were produced. Since one day was skipped due to finishing early, there were 7 days of producing extra shirts.
7 times 10 equals 70. This means that 70 shirts would have been produced on the 8th day, which means the factory was planning on producing 70 shirts for every other day as well.
It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can play the drums, and 2% can play other instruments. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference?
250
150
100
43
2
Answers
43% = 'Piano'
28% = 'Guitar'
15% = 'Harmonica'
12% = 'Drums'
2% = ...Other Instruments
- '2' Does seems as to be the smallest but it could be a trick.
- '43' Is the largest percentage out of the whole group.
- '100' Is what you get when you add all of the percentages together.
- And if you try to evaluate the percentages together in either way it'll end up to be '0.00004334' so that executes '250' and '150' from out of the question.
I'm not sure exactly what the actual answer could be but I'm assuming since it said "What is the smallest number of people required for the sample to meet the conditions for performing inference" Then my assumption is '2'.
250
Step-by-step explanation:Remember there are 2 conditions to perform a goodness of fit chi-test:
Simple random sample: The data must come from a random sample or a randomized experiment.
Expected counts: All expected counts are at least five. You must state the expected counts.
To explain expected counts a bit better, imagine I surveyed 100 people about their ice cream preferences. Before beginning it is believed that 50% like chocolate, 47% like vanilla, and 3% like strawberry.
That means our expected counts are:
100(.50) = 50
100(.47) = 47
100(.03) = 3
This is a problem, because 3 < 5 and so we can not perform a goodness of fit chi-test.
So how do you find the minimum sample size? Use this formula:
sample size (n) * smallest proportion (p) = 5
In the context of ice cream:
n*.03 = 5
n = 5 / .03
n = 167 (because you can't interview 2/3s of a person)
In the context of the problem:
n* .02 = 5
n = 5 / 0.02
n = 250
This means we need to sample at least 250 people to meet our expected count condition.
What is this half circles radius and how do you find it?
Answers
Answer:
The radius of the semicircle is 4 cm
Step-by-step explanation:
The diameter of the semicircle is 8 cm
The radius is 1/2 of the diameter
1/2 *8 = 4 cm
The radius of the semicircle is 4 cm
[tex]\text{Hey there!}[/tex]
[tex]\text{In order for you to find the radius of the circle (in this equation you would)}[/tex] [tex]\text{have to multiply one half from the number 8}[/tex]
[tex]\frac{1}{2}\times8=?\\ \frac{1}{2}\times\frac{8}{1} \\ \\1\times8=8\\2\times1=2\\\\8\div2=4[/tex]
[tex]\boxed{\boxed{\text{Answer: 04 cm}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Rectangular prism has a length of 214 feet, a width of 6 feet, and a height of 312 feet. what is the volume of the prism? enter your answer in the box. ft³
Answers
The answer is V≈4.01×105
At a baseball game, the probability that a fan brings a glove is 0.08. The probability that a fan is left-handed is 0.12. What is the probability that a randomly selected fan has a baseball glove and is left-handed? Round your answer to the nearest hundredth,
Answers
-Hello There-
If the probabilities are independent, the probability that a left-handed person will bring a glove is ...
0.08×0.12 = 0.0096 ≈ 0.01
Hope This Helped!
Have A Great Day!
Stay Safe,
TheBlueFox
the answer would be 0.1
Maureen is making trail mix. She uses 8 ounces of granola and 2 ounces of raisins in her recipe. Fill in each statement. For every 1 oz of granola, Maureen uses oz of raisins. If she uses 24 oz of granola, she would need oz of raisins.
Answers
Answer:
So for every ounce of granola she uses a quarter ounces of raisins so a quarter of 24 is 6
Answer:6
Step-by-step explanation:
What is the value of x in the linear equation below?
4+3x-ax=9-7x+bx
Answers
Answer:
x = 5/(10 - a - b)
Step-by-step explanation:
Solve for x:
4 + 3 x - a x = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = x (b - 7) + 9
Subtract (b - 7) x + 4 from both sides:
x (10 - a - b) = 5
Divide both sides by 10 - a - b:
Answer: x = 5/(10 - a - b)
Determine the angle measure between vectors u and v: u = – 3i + 3j and v = 3i + 2j .
Answers
Answer:
[tex]\theta=101.3\degree[/tex] to the nearest tenth
Step-by-step explanation:
The given vectors are;
u = – 3i + 3j and v = 3i + 2j
We use the dot product to find the angle between the two vectors.
[tex]u\bullet v=|u| |v|\cos \theta[/tex]
[tex](-3i+3j)\bullet (3i+2j)=|-3i+3j| |3i+3j|\cos \theta[/tex]
[tex](-3i+3j)\bullet (3i+2j)=\sqrt{(-3)^2+3^2} \sqrt{3^2+2^2}\cos \theta[/tex]
[tex]-9+6=3\sqrt{2} \sqrt{13}\cos \theta[/tex]
[tex]-3=3\sqrt{2} \sqrt{13}\cos \theta[/tex]
[tex]-1=\sqrt{26} \cos \theta[/tex]
[tex]-\frac{1}{\sqrt{26}}= \cos \theta[/tex]
[tex]\cos^{-1}(-\frac{1}{\sqrt{26}})= \theta[/tex]
[tex]\theta=101.3\degree[/tex]
PLEASE HELP AND PLEASE SHOW YOUR WORKING
Answers
Answer:
S = 13 - x
T = (18 + x) / 2
Step-by-step explanation:
S = 18
T= 18
Sue gives away x, so subtract it from 18. But Tony gets x, so add it to 18 in his expression.
S = 18 - x
T= 18 + x
Sue eats 5 so subtract 5 from her expression. Tony eats half, so divide his expression by 2.
S = 18 - x - 5
T = 18 + x / 2
Simplify 18-5.
S = 13 - x
T = (18 + x) / 2
A car traveling at 65 mph leaves a 25 foot skid mark. What is the ratio of the speed to length of skid mark? Give your answer in simplest form.
Answers
13:5 is the ratio of speed to skid mark
Find the values of the variables in the parallelogram. The diagram is not to scale.
Answers
Answer:
Step-by-step explanation:
PLEASE HELP. The supply and demand curves reflect the availability and cost of a new gaming system. If the gaming system is currently at Demand and Supply 1, which change to the graph would have to occur to increase equilibrium price while lowering equilibrium quantity?
————————————
A. Add Demand 1 to left of Demand. (incorrect i already tried that)
B. Add Demand 1 to right of demand.
C. Add Supply 2 to left of Supply 1.
D. Add Supply 2 to right of Supply 1.
Answers
To increase equilibrium price while lowering equilibrium quantity, the supply curve needs to be shifted to the left.
Explanation:To increase equilibrium price while lowering equilibrium quantity in a supply and demand graph for a new gaming system, we need to shift the supply curve to the left. This can be done by adding a new supply curve, Supply 2, to the left of the original supply curve, Supply 1. Therefore, the correct answer is option C: Add Supply 2 to the left of Supply 1.
Learn more about Supply and demand here:https://brainly.com/question/32830463
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Please Help! 50 points to brainiest! Triangle ABC is given where m∠A=33°,a = 15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer.
Answers
Answer:
Answer: You could have an infinite amount of triangles with these measurements.
Unless, you are missing something in the problem, there is not enough information that would narrow it down to a single triangle. Angle A is fixed and the height is fixed. However, Angle B and C could be anything as long as they formed a triangle and had side a of 15 in between them.
Answer:
j
Step-by-step explanation:
i know this isnt anything that has to do with this question but i was wondering if you had the answers to the precal "lets dance! portfolio" i couldnt contact you through messaging so this is the only way lol i hope you see this
Question 2(Multiple Choice Worth 5 points)
(08.06 LC)
Which numbers should be multiplied to obtain 1652 − 1232?
42 and 42
42 and 288
1,764 and 1,764
4,202 and 4,248
Answers
I believe the correct answer to this question is 42 and 288. If im not wrong.
Answer:
the answer is 42 and 228
Step-by-step explanation:
165x165=27,225 and 123x123=15,129
27,225-15,129=12,096
if you multiply 4x288 you get 12,096 which is your answer from before.
You are a landlord, and your tenant complains that you are in violation of the ADA because your wheelchair ramp is too steep. An independent assessor finds that your ramp has an angle of incline of 4.65°. Explain whether or not your tenant’s complaints are justified
Answers
Answer:
Not justified
Step-by-step explanation:
ADA requirements are for a slope of 1 in 12 or less, an 8.3% grade, or an angle of 4.8° (actually, 4.764° when rounded to 3 decimal places). The ramp angle found by the assessor is compliant.
The tenant complaint does not seem justified.