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Law Incorporation [45]
2 years ago
11

The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number?

Mathematics
2 answers:
Alex73 [517]2 years ago
5 0

Answer: D

Step-by-step explanation:

We can eliminate 7 and 11 because the length has to be longer than 12 (called hypotenuse, it is the longest side of a triangle). And 225 is kind of ridiculous. We can also use the Pythagorean Theorem which applies to all right angle triangles to figure out the hypotenuse, so 9^2 (81) + 12^2 (144) = x^2. So then, 81 plus 144 is about 225. And the square root of 225 is 15, therefore the answer is 15. Hope this helps!

lisabon 2012 [21]2 years ago
3 0

Answer: C) 15

Step-by-step explanation:

Use the Pythagorean theorem

x^{2}= 12^{2} + 9^{2}

x^{2} = 225

x = \sqrt{225}

x = 15

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kati45 [8]

Answer:

Some number less than 5

Step-by-step explanation:

If it was more we wouldn't need to subtract to find n.

6 0
3 years ago
Read 2 more answers
What is the total area of the shape shown? All units are in feet
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4x8=32
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8 0
3 years ago
Read 2 more answers
A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of
anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt  = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25)  = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0
3 years ago
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