Answer:
≈ 12.43 ( to 2 dec. places )
Step-by-step explanation:
Given
tan46° = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × tan46° = x, so
x ≈ 12.43
The value of x is 12.426 in the equation Tan 46° = x/12
Tan 46° represents the ratio of the opposite side to the adjacent side in a right triangle with a 46° angle.
Using the tangent function, we have:
Tan 46° = x/12
To find the value of x, we can multiply both sides of the equation by 12:
12 ×Tan 46° = x
Now, we can calculate the value of x using the tangent of 46°:
x = 12×Tan 46°
x= 12 × 1.03553031374
x = 12.4263637649
Therefore, the value of x is 12.426
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Can someone help me with this
Answer:
y = 6
Step-by-step explanation:
⇒ 17 y + 2 = 5 y + 74
→ ( - 5 y from both sides )
⇒ 12 y + 2 = 74
→ ( -2 from both sides )
⇒ 12 y = 72
( ÷ by 12 on both sides )
⇒ y = 6
Answer:
y = 6
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
17*y+2-(5*y+74)=0
Pull out like factors :
12y - 72 = 12 • (y - 6)
Solve : 12 = 0
Add 6 to both sides of the equation :
y = 6
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
Answer:
y = (-3/7)x + 9 ( -1.5x − 3.5y = -31.5)
Step-by-step explanation:
Normally, there's a list of possible answers associated to this question, and the answer is usually in the form of -1.5x − 3.5y = -31.5 (equivalent to y = (-3/7)x + 9)
You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.
In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).
We see on the image that the line PQ is perpendicular to AB. That means that its slope is -3/7.
So, we have a slope of -3/7 and we know it passes through point P (7,6), let's see if we can find the missing term.
y = (-3/7) x + b
6 = (-3/7) 7 + b
6 = -3 + b
b = 9
So the equation of the line forming the street PQ is y = (-3/7)x + 9
Is the following relation a function?
Yes
No
Answer:
NO
Step-by-step explanation:
No, it's not a function
One input has more than one output.
Answer:
NoStep-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
From the graph for values of -4 < x < 4 we have two values.
Examples:
for x = 0 we have two values -4 and 4
a car travels 1.2 miles from point a to point b. the car then turns at point b and travels 1.8 miles to point c before heading back to point a. the distance from point point c to point a is 1.6 miles. if the cars path is represented by a triangle what angle turn
Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.
b² = a² + c² - 2ac(cosB)
Substituting the known values,
(1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)
The value of B from the equation is 48.6°.
Answer:
B = 60.6 degree
Step-by-step explanation:
Side AB, c = 1.2 miles
Side BC, a = 1.8 miles
Side CA, b = 1.6 miles
Use Cosine rule to find the angle B.
[tex]Cos B = \frac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting the values of a, b and c
[tex]Cos B = \frac{1.8^{2}+1.2^{2}-1.6^{2}}{2\times 1.8\times 1.2}[/tex]
[tex]Cos B = \frac{3.24+1.44-2.56}{4.32}[/tex]
[tex]Cos B = 0.491[/tex]
B = 60.6 degree
explain solving systems of equations using substition?
when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?
help pls it's for t o m o r r o w
it's D since you're trying to find the slope/ cost per Issue you divide 63/18 which simplifies to 7/2 and as a decimal gives you 3.50 which is the number of dollars per issue.
Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below
Answer:
[tex]\frac{35}{2}[/tex]
Step-by-step explanation:
To solve this problem we need to write the mixed fraction as a fractional number, as follows:
[tex]3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}[/tex]
[tex]5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]
Then, evaluating the expression:
[tex]\frac{10}{3}[/tex]×[tex]\frac{21}{4}[/tex] = [tex]\frac{210}{12}[/tex] = [tex]\frac{35}{2}[/tex]
find the range
3, -9, 7, -1, 5, -4, 2
Answer:
16
Step-by-step explanation:
to find the range, you have to subtract the smallest number from the biggest number.
In this case 7-(-9)
7-(-9)=16
range=16
Answer:
16
Step-by-step explanation:
The range is the difference between the greatest number and the least number.
The greatest number here is 7.
The least number here is -9
Now, Subtract the least number from the greatest number:
7 - (-9) = 16
Hence the range is 16.
Which equation when graphed has X-intercepts at (8,0) and (-2, 0) and a y-intercept at (0-48)?
Answer:
[tex]y=3x^{2}-18x-48[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola in factored form is equal to
[tex]y=a(x-x1)(x-x2)[/tex]
where
a is a coefficient
x1 an x2 are the roots or x-intercepts
In this problem we have
[tex]x1=8,x2=-2[/tex]
substitute
[tex]y=a(x-8)(x+2)[/tex]
with the y-intercept (0,-48) find the value of a
substitute
[tex]-48=a(0-8)(0+2)[/tex]
[tex]-48=-16a[/tex]
[tex]a=3[/tex]
The equation is equal to
[tex]y=3(x-8)(x+2)\\ \\y=3(x^{2}+2x-8x-16)\\ \\ y=3(x^{2} -6x-16)\\ \\y=3x^{2}-18x-48[/tex]
Answer: fx=3(x-8)(x+2) or answer C
Step-by-step explanation:
bc i said so
how do you change y=x^2-10x-6 into vertex form
Converting to vertex form is actually pretty simple so I think you might find something to help you out here. :)
https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
Step-by-step explanation:
let the price be x before increased.
After it is increased then it becomes 1.03x
i.e. 1.03x= 720
x=699.03 which is the price after it is increased.
The question is an illustration of percentage increase, and the price before the increase is £699
How to determine the initial price?The given parameters are:
Initial = x
Rate = 3%
New price = £720
The equation of the initial price is:
x * (1 + rate) = New price
So, we have:
x * (1 + 3%) = 720
Evaluate the sum
x * 1.03 = 720
Divide both sides by 1.03
x = 699
Hence, the price before the increase is £699
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find the solution of this system of equations 3x+7y=46 and -3x-8x=-50
Answer:
x = 6 and y =4
Step-by-step explanation:
It is given that,system of equations 3x+7y=46 and -3x-8x=-50
To find the solution
Let 3x + 7y = 46 --------(1)
-3x-8x=-50 -------(2)
eq(1) + eq(2)
3x + 7y = 46
-3x - 8x = -50
-y = -4
y = 4
(1) ⇒ 3x + 7y = 46
3x + 7*4 = 46
3x= 46 - 28
3x = 18
x = 18/3 =6
Therefore x = 6 and y = 4
How the hell is the answer 6 or -4
One of the answers I get is -6 which is not the right one. Where the heck does that -4 come from
Answer:
The values of y is -4 and 6
Step-by-step explanation:
Solve by factoring y^2 -2y=24
We need to factorize the term y^2 -2y=24.
Rearranging:
y^2 - 2y -24 =0
For factorizing we need to break the middle term such that their sum is equal to -2y and product is equal to -24y^2
We know, -6y*+4y = 24y^2 and -6y + 4y = -2y
y^2 -6y +4y -24 =0
y(y-6) +4(y-6) = 0
(y+4)(y-6)=0
Now, y+4 =0 and y-6 =0
Finding value of y,
y = -4 and y =6
So, the values of y is -4 and 6
in the reaction c + o2 —> co2 which element is reduced in the reaction?
C
O2
CO2
Answer: b
Step-by-step explanation:
Answer:
B - O2
Step-by-step explanation:
A 15-m2 wooded area has the following: 30 ferns, 150 grass plants, and 6 oak trees. What is the population density per m2 of each of the above species?
Can someone plz help me
Answer:
See the procedure
Step-by-step explanation:
we know that
To find the population density per m² of each of the above species, divide the amount of each species by the total area
so
Ferns
[tex]\frac{30}{15}=2\frac{ferns}{m^{2}}[/tex]
Grass plants
[tex]\frac{150}{15}=10\frac{grass\ plants}{m^{2}}[/tex]
Oaks Trees
[tex]\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}[/tex]
Please help will give brainliest
The domain is the set of all real numbers
ANSWER
All real numbers.
EXPLANATION
The given relation is
R={(x,y):y=-x²}
The domain refers to the x-values for which the relation is defined.
This relation is defined by the polynomial
[tex]y = - {x}^{2} [/tex]
Polynomials are defined for all real numbers.
The domain is all real numbers.
What is the solution to the set of equations in the form (a,b)
a-3b=16
a=b-2
Answer:
(-11, - 9)
Step-by-step explanation:
Given the 2 equations
a - 3b = 16 → (1)
a = b - 2 → (2)
Substitute a = b - 2 into (1)
b - 2 - 3b = 16
- 2b - 2 = 16 ( add 2 to both sides )
- 2b = 18 ( divide both sides by - 2 )
b = - 9
Substitute b = - 9 into (2) for the corresponding value of a
a = - 9 - 2 = - 11
Solution is (- 11, - 9)
Which system of inequalities is graphed below?
Answer:
C.Step-by-step explanation:
We have the parabolas:
(1) y = x² + 2 and (2) y = x² - 6
The common shaded region is below parabola (1) and above parabola (2).
Therefore y < x² + 2 and y > x² - 6
Answer:
its wrong it is a.
Step-by-step explanation:
Compare the decimals below and add <, >, or = to make the statement correct:
1.805 and 1.803
0.757 and 0.393
0.99 and 0.990
1.805>1.803
0.757>0.393
0.99<0.990
A trick is looking at each decimal place is looking from left to right and seeing which number has the most value
To find the solution to a system of linear equations, Verdita begins by creating equations for the two sets of data points
below
Which equations could Verdita use to represent the data sets?
Data Set A: Y-4x-2
Data Set B: y = x+4
Data Set A -4x-2
Data Set B: y = x-4
Data Set A y = 4x+2
Answer:
y= 4x -2
y= x + 4
Step-by-step explanation:
To find equation for Data set A and B , pick any two points from the table
(-1,-6) and (1,2)
To find equation use y=mx+b
where m is the slope and b is the y intercept
[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{2+6}{1+1} = 4[/tex]
Use point slope formula, use (1,2)
y-y1=m(x-x1)
y - 2= 4(x-1)
y-2= 4x-4 (add 2 on both sides)
y= 4x -2
(-2,2) and (0,4)
To find equation use y=mx+b
where m is the slope and b is the y intercept
[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{0+2} = 1[/tex]
Use point slope formula, use (0,4)
y-y1=m(x-x1)
y - 4= 1(x-0)
y - 4=x (add 4 on both sides)
y= x + 4
-104=-2(1+7x)-4 answer
Add 4 to both sides
-104 + 4 = -2(1 + 7x)
Simplify -104 + 4 to -100
-100 = -2(1 + 7x)
Divide both sides by -2
-100/-2 = 1 + 7x
Two negatives make a positive
100/2 = 1 + 7x
Simplify 100/2 to 50
50 = 1 + 7x
Subtract 1 from both sides
50 - 1 = 7x
Simplify 50 - 1 to 49
49 = 7x
Divide both sides by 7
49/7 = x
Simplify 49/7 to 7
Switch sides
Answer: x = 7
Find the value of x in the isosceles triangle shown
Answer:
x = 8√5
Step-by-step explanation:
The large triangle is divided into two smaller ones. The right one has one leg of length 8, one leg of length x/2, and hypotenuse of length √80.
Appling the Pythagorean Theorem, we can find x:
8² + (x/2)² = (√80)²,
or: x^2
64 + x^2/4 = 80, or ------- = 80
4
Then x^2 = 320 = 64*5. Taking the square root of both sides, we get:
x = 8√5
Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.
If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?
Ben could have sold no more than ____ hamburgers.
Answer:6
Step-by-step explanation:
Attempt TOT
Find the mean of the following data set.
42, 45, 58, 63
Answer:
52
Step-by-step explanation:
The mean is calculated by finding the sum of all the values and dividing it by the number of values there are in total :)
42 + 45 + 58 + 63 = 208
208 ÷ 4 = 52
[tex] 2 {r}^{2} - 4r - 16[/tex]
Answer:
Step-by-step explanation:
Take out a common factor of 2
2(r^2 - 2r - 8) Now factor.
2(r - 4)(r + 2)
Answer: r=4,-2
2r^2-4r-16=0
2(r^2-2r-8)=0
2(r-4)(r+2)=0
r=4,-2
The Lin family bought a dozen bagels. They ate 1/4 of the bagels today and 5/12 of the bagels yesterday. What fraction of the bagels did they eat in all? Explain how you found your answer.
Answer:
2/3
Step-by-step explanation:
To be able to find what the total fraction of bagels eaten, the fractions need to have common denominators. To do this, you multiply 1/4 by 3 in both the numerator and the denominator. Now that the two fractions have the same denominator, you can add the fraction's numerator to get the total fraction, 8/12. However, 8/12 can be simplified more, so you divide by 4 and end up with 2/3.
What is the value of x , given that the two prisms are similar ?
Answer:
x = 40 units.
Step-by-step explanation:
Corresponding sides of the 2 prisms are in the same ratio , so:
x / 20 = 10 / 5
x/ 20 = 2
x = 2 * 20
x = 40 units.
ANSWER
The correct choice is A.
EXPLANATION
If the the two prisms are similar, then their corresponding sides are in the same proportion;
This implies that
[tex] \frac{x}{20} = \frac{6}{3} [/tex]
We simplify to get;
[tex] \frac{x}{20}=2[/tex]
We now multiply both sides by 20 yo obtain;
[tex] \frac{x}{20} \times 20 = 2 \times 20[/tex]
We simplify and multiply out to get:
[tex]x = 40[/tex]
Therefore the value of x is 40 units
What is the value of x?
Answer:
x = 12
Step-by-step explanation:
The 2 given angles form a straight angle and are supplementary, thus
10x - 20 + 6x + 8 = 180
16x - 12 = 180 ( add 12 to both sides )
16x = 192 ( divide both sides by 16 )
x = 12
Write the formula to calculate the height, h
Answer:
kg m2 / s2 is the formula
good luck!
Answer:
kg m2 / s2 is the formula
Step-by-step explanation:
identify the period of the graph
ANSWER
The period is 4π
EXPLANATION
The period refers to the interval on which the graph completes one full cycle.
In other words, it is the interval on which the graph repeats itself.
From the graph, the function repeats itself after every 4π units.
Therefore the period is 4π