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horrorfan [7]
3 years ago
12

The perimeter of a basketball court is 90 meters and the length is 6 meters longer than twice the width. What are the width and

length show how you got the answer
Mathematics
2 answers:
andriy [413]3 years ago
7 0
A basketball court is in a rectangular shape and the perimeter for a rectangle is the addition of each one of its sides or P= 2W + 2L (L= length & W= width). P=90 L = 2w+6 With the information provided your have to formulate the equation: 90=2W+2(2W+6) Then solve for W: First distribute the 2 90=2W + 4W + 12 Combine common factors 90 = 6W + 12 Subtract 12 from both sides 78 = 6W Divide 6 on both sides W=13 Now that you have your width, you can plug it into the equation to find the length (L=2W+6) 2(13) +6 =L 26 + 6 = L 32 = L You can always double check by making sure that the totals equal 90 for the perimeter 32+32+13+13=90 2(32) + 2(13) =90
tangare [24]3 years ago
4 0
A basketball court is in a rectangular shape and the perimeter for a rectangle is the addition of each one of its sides or P= 2W + 2L (L= length & W= width).  P=90 L = 2w+6 With the information provided your have to formulate the equation: 90=2W+2(2W+6) Then solve for W: First distribute the 2 90=2W + 4W + 12 Combine common factors 90 = 6W + 12 Subtract 12 from both sides 78 = 6W Divide 6 on both sides W=13 Now that you have your width, you can plug it into the equation to find the length (L=2W+6) 2(13) +6 =L 26 + 6 = L 32 = L  You can always double check by making sure that the totals equal 90 for the perimeter 32+32+13+13=90 2(32) + 2(13) =90
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Rex spent $6.42 at the store. He gave the cashier the money shown above. How much money did Rex get back from the cashier?
cupoosta [38]
The answer is d 10-6.42 is $3.58
4 0
3 years ago
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Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 36 minus the quantity of y plus 1
Sphinxa [80]

Answer:

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

Step-by-step explanation:

Center at (-5,-1) because of the plus 5 added to the x and the plus 1 added to the y.

a(squared)=36 which means a=6 and a=distance from center to vertices so add and subtract 6 from the x coordinate since this is a horizontal hyperbola, which is (1,-1), (-11,-1). From there you dont need to find the focus since there is only one option for this;

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

8 0
3 years ago
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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
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givi [52]

Answer:

120

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All the interior angles in a regular hexagon are 120 degrees.

7 0
3 years ago
(-3,2) and ( 2,-13) slope intercept equation
Georgia [21]

Given:

The points are (-3, 2) and (2, -13).

To find:

Slope-intercept form of the equation.

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Here x_1=-3, y_1=2, x_2=2, y_2=-13.

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-13-2}{2-(-3)}

$m=\frac{-15}{5}

m = -3

Using point-slope formula:

y-y_1=m(x-x_1)

y-2=-3(x-(-3))

y-2=-3(x+3)

y-2=-3x-9

Add 2 on both sides.

y-2+2=-3x-9+2

y=-3x-7

Slope-intercept form of the equation is y = -3x - 7.

8 0
3 years ago
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