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dusya [7]
3 years ago
5

An apartment building has the

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

8/17

Step-by-step explanation:

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1. A right triangle has a hypotenuse of length 10 yd and one leg of length 2 yd.
Aleonysh [2.5K]

Question 1.

The Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the square of the two legs.

h^2=l_1^2+l_2^2

From the question, the hypotenuse is h=10 yd and one of the legs is 2yd.

This implies that,

10^2=l_1^2+ {2}^{2}

Evaluate the exponents

100=l_1^2+ 4

Subbtract 4 from each side

100 - 4=l_1^2

l_1^2 = 96

l_1=  \sqrt{96}

l_1 =  \sqrt{16 \times 6}

l_1 =  4\sqrt{6}

The correct answer is C

Question 2

We want to solve

{e}^{4x}  = 11

using inverse functions.

The inverse of an exponential function is a logarithmic function.

We take natural log of both sides to get;

ln({e}^{4x})   =  \ln(11)

Recall that

\ln( {a}^{n} )  = n  \ln(a)

This means

4x \ln({e})   =  \ln(11)

Logarithm of the base is 1

4x (1)   =  \ln(11)

4x   =  \ln(11)

Divide both sides by 4

x=  \frac{ \ln(11)}{4} \\x=0.5995\\ x = 0.6

7 0
3 years ago
What’s the volume of the cylinder with a radius of 10 and a height of 30?
astraxan [27]

The answer is 9424.78

Reason:

6 0
3 years ago
Pls Help Asap pls T^T
olga_2 [115]

Answer: think its c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1/2 (20) simplifies what?
Tasya [4]

Answer:

10

Step-by-step explanation:

1/2 * 20 / 1 =

(20 * 1) / ( 2 * 1) = 10

6 0
3 years ago
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A penny has a diameter of about 26.5 millimeters. What is the area of a penny to it's nearest hundredth
Yanka [14]

3.14 * 26.5/2

3.14 * 13.25^2 = 551.26625

A = 551.27

 

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8 0
3 years ago
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