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Sati [7]
4 years ago
11

The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length an

d width?
Mathematics
1 answer:
lys-0071 [83]4 years ago
3 0

Answer:

W = 17

L = 40

Step-by-step explanation:

To find the perimiter, we add 2L + 2W

So: 2L + 2W = 114

We also know that: L - 6 = 2W

So we can plug in L - 6 into the original equation

2L + L - 6 = 114

Add 6 to both sides

3L = 120

L = 40

Now we can solve for width using any of our equations. I'll use L - 6, because it's the easiest

L - 6 = 2W

40 - 6 = 2W

34 = 2W

17 = W

So

W = 17

L = 40

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mars1129 [50]

Answer:

BC=15\ units

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

Applying the Pythagorean Theorem

AB^2=AC^2+BC^2

substitute the given values

17^2=8^2+BC^2

solve for BC

BC^2=17^2-8^2

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BC=15\ units

5 0
3 years ago
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11 minus what number is 7
MA_775_DIABLO [31]
Eleven minus four equal seven
11-4=7
4 0
3 years ago
The value of 82 is between which two integers?
hoa [83]

Hey there!

Let's look at the squares of all of our answer options. We will compare them to eighty two to see which it belongs in.

A. 36 and 49.

B. 49 and 64.

C. 64 and 81.

D. 81 and 100

As you can see, 82 is in between 81 and 100, so the answer is D. 9 and 10.

Also, the square root of 82 is about 9.05, and this fits our answer.

Have a wonderful day!

8 0
3 years ago
Grace rakes leaves everyday for one week. She fills the same number of bags with leaves on each of the 5 weekdays. She fills 11
svlad2 [7]

Answer:

3 bags per weekday

Step-by-step explanation:

Total bags of leaves at the end of the week = 26 bags

Bags of leaves she fills over the weekend = 11 bags

Bags of leaves she fills during weekdays = x bags

Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays

26 = 11 + x

Subtract 11 from both sides

26 - 11 = 11 - 11 + x

15 = x

x = 15 bags

If she fills the same number of bags with leaves on each of the 5 weekdays.

how many bags she filled each weekday.

Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays

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= 3 bags per weekday

7 0
3 years ago
Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels
GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}

Cross multiply

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Divide both sides by 210

\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph

4 0
3 years ago
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