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Reptile [31]
3 years ago
13

If the hypotenuse of a right triangle is 6 and one leg is 5 what is the other leg?

Mathematics
1 answer:
Zolol [24]3 years ago
6 0
Recall the Pythagorean Theorem which says:

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:

5^2 + b^2 = 6^2

25 + b^2 = 36

b^2 = 11

b = √11

Thus the answer is C.
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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take
Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

A(t)=P(1+r)^t

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t.  Filling in:

33800=4400(1+.075)^t and

33800=4400(1.075)^t

Begin by dividing both sides by 4400 to get

7.681818182=1.075^t

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

ln(7.6181818182=ln(1.075)^t

The power rule of natural logs says we can move that exponent down in front, giving us:

ln(7.681818182)=t*ln(1.075)

Divide both sides by ln(1.075) to get

\frac{ln(7.61818182)}{ln(1.075)} =t

Do this division on your calculator to get

t = 28.2 years

6 0
3 years ago
Read 2 more answers
1/4x +4 = 1/2 solve with explanation
IRINA_888 [86]

Answer:

<h3>x = -14</h3>

Step-by-step explanation:

Given the equation

1/4x +4 = 1/2

Solving for x

Subtract 4 from both sides

1/4x +4 - 4 = 1/2 - 4

1/4 x  = (1-8)/2

1/4 x = -7/2

Cross multiply

2x = -7*4

2x = -28

x = -28/2

x = -14

Hence the value of x is -14

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3 years ago
It costs $10 to get into a carnival. It costs an
LenKa [72]

Answer:

13

Step-by-step explanation:

36-10=$26 spent on rides

26/2=13

4 0
3 years ago
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Ivahew [28]

Answer:

the answer is 0

Step-by-step explanation:

she had -27 in her bank the she added  27

8 0
3 years ago
The distance from Jason’s house to school is 0.5 kilometers.What is the distance in meters?
inn [45]

Answer:


Step-by-step explanation:

So we know that we have 1000 m in 1 km.

So convert 0.5 km to m we multiply 0.5 by 1000

0.5*1000 = 500

7 0
3 years ago
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