Answers
Answer:
x=20
Step-by-step explanation:
Since this is a right angle, it is equal to 90 degrees
x + 3x+10 = 90
Combine like terms
4x+10 = 90
Subtract 10 from each side
4x+10-10 =90-10
4x=80
Divide by 4
4x/4=80/4
x = 20
Related Questions
Katy is walking toward a bridge. See full question below
Answers
Answer:
Step-by-step explanation:
No c
as she was initially 300m away from the bridge (distance from bridge=300m) (time=0) so it was her starting point.
and after 6 minutes (time=6min) she reached the bridge. (distance from bridge = 0m)
Answer:
C.Katy was initially 300 meters away from the bridge and it tooke her 6 minutes to reach the bridge.
Step-by-step explanation:
As you can see in the table when Katy had been walking for 0 minutes, she was 300 meters away, so initially Katy was 300 meters from the bridge.
When she reaches the bridge is when the distance is reduced to 0, since distances is reduced to 0 at 6 minutes, we can infer that it took her 6 minutes to reach the bridge, and that se was walking at a pace of 50 meters per minute.
How many solutions does this system have?
y=5x-1
y=-3x+7
Answers
Answer:
One solution
Step-by-step explanation:
We have the system
[tex]y=5x-1\\y=-3x+7[/tex]
To solve the system, equate both equations and solve for the variable x.
[tex]5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1[/tex]
Now substitute the value of x in any of the two equations and solve for the variable y.
[tex]y=5(1)-1[/tex]
[tex]y=4[/tex]
Finally the system of equations has one solution
Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers?
Answers
Answer:28
Step-by-step explanation:five numbers: 24, 25, 26, 27, 28
the largest is 28
The numbers are 24, 25, 26, 27, 28 and the largest will be 28.
It should be noted that prime numbers are the numbers that can only be divided by itself and 1.Consecutive numbers simply means the numbers that follow each other as they've thesame characters.Therefore, the numbers are 24, 25, 26, 27, 28 and the largest will be 28.
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The equation that models this situation is y = 35x + 30, where y is the amount of money she spent and x Is the number of chairs she bought
Answers
Answer:2321
Step-by-step explanation:
Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker needs to pass two checkpoints before completing a race. The total distance for the race is 120 miles. The distance from the starting point to checkpoint 1 is 35 miles more than half the distance from checkpoint 1 to checkpoint 2. The distance from checkpoint 2 to the finish line is 20 miles less than twice the distance from checkpoint 1 to checkpoint 2. Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the finish line. Complete the matrix equation that models this situation, A-1B = X.
Answers
The problem involves creating and solving a system of equations based on a story problem. The three equations that represent the system are x + y + z = 120, x = y/2 + 35, and z = 2y - 20.
Explanation:To complete the matrix equation that models this situation, we need to define the distances between the starting point, checkpoint 1, checkpoint 2, and the finish line. Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the finish line. The matrix equation would look like this:
A * [x, y, z] = B
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What is the value of the product (3-2i) (3+2i)
Answers
Answer:
[tex]\large\boxed{(3-2i)(3+2i)=13}[/tex]
Step-by-step explanation:
[tex](3-2i)(3+2i)\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=3^2-(2i)^2=9-4i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=9-4(-1)=9+4=13[/tex]
What is the equation of the line containing the points (3,1), (9,3) and (27,9)
Answers
Answer:
y = (1/3)x
Step-by-step explanation:
If this is truly a line, then we can find its equation using any two of the three given points. If we go from (3, 1) to (27, 9), x increases by 24 and y increases by 8. Thus, the slope of this line is m = rise / run = 8 / 24, or m = 1/3.
Using the point (3, 1) and the slope m = 1/3, the slope-intercept form y = mx + b becomes 1 = (1/3)(3) + b. Thus, b = 0, and the line is y = (1/3)x.
Answer:
y=[tex]\frac{1}{3}[/tex]x ~apex
Step-by-step explanation:
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each.
Linear Function A
Points: (–5, –2), (–5, 7)
Linear Function B
Points: (7, –5), (–2, –5)
Function A has:
The equation of line A is:
Function B has:
The equation of line B is:
Answers
Final answer:
The equation for Function A is x = -5, as it represents a vertical line. The equation for Function B is y = -5, representing a horizontal line. Both cases are special and do not use the slope-intercept form.
Explanation:
To find the equations for Function A and Function B, we will analyze the points given for each function.
Function A
For Function A, we have the points (–5, –2) and (–5, 7). These points share the same x-value but have different y-values, which means the line is vertical. The equation for a vertical line is x = constant. Therefore, the equation of line A is x = -5.
Function B
For Function B, the points are (7, –5) and (–2, –5). These points share the same y-value, indicating a horizontal line. The equation for a horizontal line is y = constant, thus the equation of line B is y = -5.
For both equations, we do not use slope-intercept form as these are special cases of vertical and horizontal lines where slope is undefined (vertical line) and zero (horizontal line)
Final answer:
Function A is a vertical line with the equation x = -5, and Function B is a horizontal line with the equation y = -5.
Explanation:
To find the equations for Linear Functions A and B, we need to consider their points and use them to calculate the slope (m) and y-intercept (b). For Linear Function A, the two points given are (–5, –2) and (–5, 7). Since the x-values are the same and the y-values differ, this indicates a vertical line. For a vertical line, the equation does not have a y-intercept and the slope is undefined because the change in x is zero. The equation for a vertical line is simply x = a constant value. Therefore, Function A has an equation of x = -5.
For Linear Function B, the points provided are (7, –5) and (–2, –5). Here, the y-values are the same, indicating a horizontal line. For a horizontal line, the slope (m) is zero because there is no change in y. The y-value for all points on the line is the same, which is the y-intercept (b). Consequently, Function B has an equation of y = -5.
The table shows the solution to the equation |2x − 3| − 1 =
Answers
Answer:
It is -373.
Step-by-step explanation:
4x^2+4x+1=9 solutions
Answers
Answer:
x = - 2, x = 1
Step-by-step explanation:
Given
4x² + 4x + 1 = 9 ( subtract 9 from both sides )
4x² + 4x - 8 = 0 ← in standard form
Divide through by 4
x² + x - 2 = 0
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
1. In the number 7563291 write down the column that the 5 is in
2. Write down the term to term rule for this sequence: 3,-1,-5,-9
3. Work out the LCM of 18 and 30
4. Simplify b-3b+a+b
5. A child’s shape sorter has 3 green shapes, 3 red shapes, 4 blue shapes and 4 yellow shapes. Write down the probability of selecting a green or red shape
6. Calculate 479+725
7. Which numbers in the 100 times table is 3562 between
8. Find the input into the function machine x3 -5 28
9. Calculate 3/8-1/6
10. In a pie chart an angle of 24 degrees is drawn to represent people who voted labour in the last election. What fraction of people voted labour
11. Two angles are 72 degrees and 49 degrees. They lie on a straight line with a third angle. Calculate the size of the third angle
12. Write a list of 5 numbers with a median of 7
14. Change 0.6 into a percentage
15. Work or 7% of £50
16. How many edges does a square based pyramid have
Please could someone help me with these question I need help ASAP
I will make your answer a brainliest answer
Answers
Answer:
Hundred Thousands-490a-b6/14 = 3/712043500 & 3600I am guessing but I am not sure on how to do this one. x=113/8(6)-1/6(8)=18/48-8/48=10/48=****5/24****6.6 repeating180-72=108-49=****59****5,6,7,8,9No number 1360%3.5 or if adding 7% tax then it is 53.508 edges
Find the value of 9!/(9-2)!
Answers
Answer:
The answer is 72
Step-by-step explanation:
In order to resolve the expression, we have to know the factorial function.
The factorial function (with a symbol: !) says to multiply all whole numbers from our chosen number down to 1.
For example:
5!=5*4*3*2*1=120
When the exercise has a fraction with factorial functions, we usually try to simplify it, that is, we have to expand the factorial value until to get the same factorial value in the denominator or numerator:
5!/3!=[tex]\frac{5*4*3!}{3!} =5*4=20[/tex]
In this case:
9!/(9-2)!=9!/7!=[tex]\frac{9*8*7!}{7!} =9*8=72[/tex]
The final value is 72.
The value of the factorial 9!/(9-2)! is 72
To find the value of 9!/(9-2)!, we first need to evaluate the factorial expressions.
9! means the factorial of 9, which is calculated by multiplying all positive integers from 1 to 9:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Similarly, (9-2)! means the factorial of (9-2), which simplifies to 7!:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
Now, let's substitute the factorial expressions back into the original equation:
9!/(9-2)! = (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(7 x 6 x 5 x 4 x 3 x 2 x 1)
Now we can simplify the expression:
9!/(9-2)! = (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(7 x 6 x 5 x 4 x 3 x 2 x 1)
= 9 x 8
= 72
Therefore, the value of 9!/(9-2)! is 72.
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PLEASE HELP ME WITH THIS QUESTION AS SOON AS POSSIBLE!!!
Answers
Answer:
Angle GBH:
Angle ECD: 34
Angle HGB: 20
Angle FGH:
Step-by-step explanation:
Find all of the angles, some are needed to find others. Use the given angles...
FEC is 124, so the other side of it, CED must be 180-124 which is 56
Now we know CED is 56 and CDE is 90, and a triangles angles add up to 180, therefore angle ECD is 180-56+90, which is 34
Now we can find HCE, 180-90+34, which is 56
Angle CBG is 70 because 180-110 is 70
You can find angle HGB by looking at angle BCG which is 90 and angle CBG which is 70 and subtracting them from 180. 180-90+70=20
Use a fraction stripe model to find the sum for 5 over 6 + 2 over 3.please if anybody can write the answer. Tomorrow is my exam
Answers
Answer:
0.94
Step-by-step explanation:
5/6 +2 /3= 2 5/6 /3= 2.83/3= 0.94
NEED ANSWER NOW A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed. Which word describes the slope of the line representing the data in the table? zero undefined negative
Answers
Reasoning: The number of cards sold is your x-axis and the amount of money needed is the y-axis. As you sell more cards, you gain money and so then the amount of money needed goes down. In graph terms, you start at the top of your graph with the amount of money needed and zero cards sold and then as you sell cards your slope of the line goes down and you need less and less money.
This question is based on the reasoning. Therefore, the negative slope of the line representing the data in the table.
Given;
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
We have to describe the slope of the line representing the data in the table.
Reasoning: The number of cards sold is represented by x-axis and the amount of money needed is represented by the y-axis.
In general, as we sell more cards, we gain more money and then, the amount of money needed goes down.
From the given graph terms, we start at the top of our graph with the amount of money needed and zero cards sold and then as we sell cards your slope of the line goes down and we need less and less money.
Therefore, the negative slope of the line representing the data in the table.
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A girl had $12 but spent $3 of it . what per cent did she spend
Answers
Answer:
She spent 25%
Hello There!
The girl spent 1/4 of her money. 12 is divisible by 3 and when we divide, we get a quotient of 3
If the girl spent $3, we subtract 3 from 12 and we see that 3 = 1/4 6=2/4 and 9=3/4 but if she spent $3 it would be 1/4
The Girl Spent 1/4 of her money. This is also known as 25%
The volume of a cylinder is 288[tex]\pi[/tex]cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?
Recall the formula V=[tex]v=\pi \ {2} h[/tex]
a.9 inches
b.12 inches
c.18 inches
d.36 inches
Answers
The answer is:
The correct option is:
C. 18 inches.
Why?To calculate the volume of a cylinder we need to use the formula:
[tex]Volume=\pi *radius^{2}*height[/tex]
We are given a cylinder that has a volume of 288 π cubic inches and we know that its radius is equal to 4 inches, so, to calculate the height of the cylinder, we need to isolate it from the equation of volume, so, isolating we have:
[tex]Volume=\pi radius^{2} height[/tex]
[tex]\frac{Volume}{\pi radius^{2} }=height[/tex]
Now, substituting the given information, we have:
[tex]height=\frac{288\pi in^{3}}{\pi (4in)^{2} }=\frac{288\pi in^{3}}{16\pi in^{2} }=18in[/tex]
Hence, we have that the correct answer is:
C. 18 inches.
Have a nice day!
Answer:
The correct answer is option c 18 inches
Step-by-step explanation:
Points to remember
Volume of cylinder = πr²h
Where r - Radius of cylinder and
h - Height of cylinder
To find the height of cylinder
Here volume = 288π cubic inches and radius = 4 inches
Volume = πr²h
288π = π* 4² * h
288 = 16h
h = 288/16 = 18 inches
Therefore height of cylinder = 18 inches
The correct answer is option c 18 inches
What is the formulae of a closed cylinder
Answers
Answer:
Step-by-step explanation:
Surface area is 2(πr²) + 2πrh. The first includes the top and bottom; the second is the area of lateral sides of the cylinder (radius r and height h).
The volume of this cylinder is V = πr²h.
Answer:
2 pi r square + pi dh
Step-by-step explanation:
2 pi r square + pi dh
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = 1/4(x – 12). What is the standard form of the equation for this line?
Answers
Answer:
-¼x + y = -2
Step-by-step explanation:
First, convert to Slope-Intercept Form by moving "1" to the other side of the equivalence symbol to get y = ¼x - 2, then finally convert to Standard Form by moving "-¼x" to the other side of the equivalence symbol to end up with -¼x + y = -2. Do you understand?
Is the following relation a function?xy1−21−3213−2
Answers
Final answer:
The given relation is not a function because there are multiple output values for one input value.
Explanation:
The given relation, xy1−21−3213−2, is not a function. In order for a relation to be a function, each input value (x) must have only one corresponding output value (y).
Let's examine the relation:
x = 1, y = 2
x = 2, y = -3
x = 3, y = 2
As you can see, for x = 1, there are two different corresponding values of y (2 and -3). Therefore, the given relation is not a function.
In a small section of a stadium there are 40 spectators watching a game between the Cook Islands and Fiji. They all support at least one of the two teams.
25 spectators support the Cook Islands and 16 of these support both teams. How many support only Fiji?
Answers
Answer:
The correct answer is 15.
A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the cone?
3375π cm3
6782.4π cm3
2160π cm3
7542.1π cm3
Answers
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=12\\ h=45 \end{cases}\implies V=\cfrac{\pi (12)^2(45)}{3}\implies V=2160\pi[/tex]
The equation cos(35°) =
can be used to find the length
What is the length of PC? Round to the nearest tenth
of BC
49.6
= 20.5 in
350
B
25 in.
Answers
Answer:
The length of side BC is 20.5 in
Step-by-step explanation:
we know that
In the right triangle ABC
The function cosine of angle of 35 degrees is equal to divide the adjacent side to angle of 35 degrees by the hypotenuse of the right triangle
so
cos(35°)=a/25
Solve for a
Multiply by 25 both sides
a=(25)*cos(35°)=20.5 in
therefore
The length of side BC is 20.5 in
The answer is:
The length of BC is equal to 20.5 inches.
Why?Since we are working with a right triangle and we already know some of its dimensions, we can calculate the length of PC using the following equation:
[tex]Cos\alpha =\frac{a}{Hypotenuse}[/tex]
Where,
a is equal to BC
hypotenuse is equal to 25 inches.
alpha is equal to 35°
So, we will have the following equation and we can isolate "a" from it, so substituting we have:
[tex]Cos(35\°)=\frac{a}{25in}[/tex]
[tex]a=25in*Cos(35\°)=20.47inches[/tex]
Hence, the length of BC is equal to 20.5 inches (rounded to the nearest tenth)
Have a nice day!
what is 51.4 plus 2.86
Answers
Answer:
54.26
Step-by-step explanation:
0.4+0.86= 1.26
51+2= 53
53+1.26= 54.26
Answer:
54.26 i hope its right
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
B'C'D'
Step-by-step explanation:
The figure was just translated, without any deformation, these are similar figures... so their corresponding angles are the same.
Since it was just moved down by 4 units, none of the angles were changed, and none of the side lengths were changed.
Since vertex C' corresponds to vertex C, the angle B'C'D' corresponds to original angle BCD.
60% of the 50 students in Jessie’s gym class are 12 years old. How many students in Jessie’s class are 12 years old?
Answers
Answer:
30
Step-by-step explanation:
60% of the 50 students are 12 years old
60% * 50
Changing to decimal form
.60 * 50
30
30 of the students are 12
Answer:
30Step by-step explanation:just took the testWrite the equation of the quadratic graph in the form f(X)= a(x-h)^2+k
Answers
Answer:
f(x) = 2(x - 5)² - 6
Step-by-step explanation:
Vertex Formula: y = a(x - h) + k; Vertex: [h, k]; there is a vertical stretch at 2 = a. The -h [phase shift (horizontal shift)] in parentheses gives you the OPPOSITE term of what it really is, so really, 5 = h. Now, k [vertical shift] is the ONLY normal term, so -6 = k.
On Monday, the temperature was 6 degrees cooler than it had been on Sunday, on Tuesday the temperature rose 4 degrees from Monday. Wednesday's temperature was cooler than Tuesday's, but not as cool as it was on Monday. Which answer choice shows a reasonable answer for the difference in temperature on Wednesday, as compared to the temperature on Sunday?
A) -10 degrees
B) -7 degrees
C) -4 degrees
D) -2 degrees
Answers
Answer:
C) -4 degrees
Step-by-step explanation:
let's set Sunday Temp = 0°
Since Monday is 6° cooler than Sunday, we subtract 6° from 0 (Sunday's temp)
Monday's Temp -6 (0-6)
Since Tuesday's Temp is 4° higher than Monday, we add 4 to Monday's temp:
Tuesday's Temp -2 (-6+4)
Wednesday's Temp is cooler than Tuesday's but not as cool as Monday's, we assume that Wednesday's Temp is in-between -6 & -2
that makes
c. -4 a reasonable choice
Answer:
C) -4 degrees
Step-by-step explanation:
Let x be the temperature on sunday,
Then, according to the question,
The temperature on monday = x - 6,
On Tuesday = (x-6) + 4 = x - 2,
Now, Wednesday's temperature was cooler than Tuesday's, but not as cool as it was on Monday,
That is, x - 6 < temperature on wednesday < x - 2
⇒ x- 6 - x < temperature on wednesday - x < x - 2 - x
⇒-6 < temperature on wednesday - temperature on sunday < -2
Since, -6 < -4 < -2
Hence, the possible difference between the temperature on Wednesday, as compared to the temperature on Sunday would be -4.
Option 'C' is correct.
80 Points !! Help me please!
Answers
Answer:
The total cost of the tent with the markup and then tax applied is $409.86
Step-by-step explanation:
230 is the original
the price is going to increase by 230(.65)=149.5
So the new price is 230+149.5=379.5 (this is before tax is applied)
The sales tax is 8% or .08
So the price is going to increase by .08(379.5)=30.36 (this is the tax to add in)
So the total cost is 379.5+30.36=409.86
Answer:
Cost of the tent: $517.86
Step-by-step explanation:
Since it's marked up by 65%, that means you add an additional $149.59 to $230. Now, you have $479.50. Now with 8% tax, you multiply $479.50 to 0.08 and we get $38.36. We add $38.36 to $479.50 and we get $517.86. I hope this helps and please mark me brainliest!
What is the middle term in the simplified product?
(x + 3)(x – 4)
Answers
Answer:
- x
Step-by-step explanation:
If we expand the product.
Each term in the second factor is multiplied by each term in the first factor
x(x - 4) + 3(x - 4) ← distribute both parenthesis
= x² - 4x + 3x - 12 ← collect like terms
= x² - x - 12
The middle term of the product is - x