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3 years ago

Find the surface area of the prism. Write your answer as a fraction or moxed number.

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

Heyuwkwejeiwiwwowwmsmekwkskejewkwisieowlwlsosews

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What are the lengths of sides A and B of a right triangle if the hypotenuse is equal to 1.2 cm and the interior angles are 60 de

Natali5045456 [20]

We have been given that the hypotenuse of a right triangle is equal to 1.2 cm and the interior angles are 60 degrees, 30 degrees, and 90 degrees.

We know that hypotenuse corresponds to 90 degrees angles.

We also know that the hypotenuse is equal to twice the length of the shorter leg and shorter leg is the opposite side to 30 degree angle.

To find the length of shorter leg, we will divide length of hypotenuse by 2.

$\text{Side corresponding to 30 degree angle}=\frac{1.2\text{ cm}}{2}$

$\text{Side corresponding to 30 degree angle}=0.6\text{ cm}$

Therefore, length of shorter leg is 0.6 cm.

We know that the longer leg, which is across from the 60 degree angle, is equal to multiplying the shorter leg by $\sqrt{3}$ .

$\text{Side corresponding to 60 degree angle}=0.6\text{ cm}\times \sqrt{3}$

$\text{Side corresponding to 60 degree angle}=1.039230\text{ cm}$

$\text{Side corresponding to 60 degree angle}\approx 1.04\text{ cm}$

Therefore, length of longer leg is approximately 01.04 cm.

3 0

4 years ago

Please help me if you can. Please also write how you got the answer thank you.

vesna_86 [32]

Answer:

s,q,r

Step-by-step explanation:

r is bigger than q and s is q-2 so s is smaller than q therefore smaller than r so r is the biggest then q then s but since it’s asking for it in ascending order u go from smallest to biggest.

3 0

3 years ago

Read 2 more answers

Which is a graph of the function...

nlexa [21]

The third one
hope it helps

3 0

4 years ago

2) Find the angle measures of a triangle if the first angle is thirty-one degrees more than

Charra [1.4K]

Answer:

4x+88=180

First angle is 54°

Second angle is 23°

Third angle is 103°

Step-by-step explanation:

Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57

All angles in a triangle add upto 180°

31+x+x+2x+57 = 180

4x+88=180

Subtract 88 from both sides,

4x = 92

Divide by 4,

x = 23°

31+x = 54°

2x+57 = 2*23 + 57 = 46+57 = 103°

4 0

3 years ago

(√x+1/√x)^2find dy/ dx and substitute 2 in dy/ dx

lions [1.4K]

Hello,
That's better.

I suppose $y=( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )^2 \\

y'=2*( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )*( \dfrac{1}{2 \sqrt{x} } - \dfrac{3}{2x \sqrt{x} } )$

If x=2 then
$y'=2*( \sqrt{2} + \dfrac{1}{ \sqrt{2} } )*( \dfrac{1}{2 \sqrt{2} } - \dfrac{3}{2*2* \sqrt{2} } )\\
=2* \dfrac{2+ \sqrt{2} }{ \sqrt{2} } * \dfrac{1}{4*\sqrt{2} } *(-1)\\
=- \dfrac{2+ \sqrt{2} }{4}$

3 0

3 years ago

Find the surface area of the prism. Write your answer as a fraction or moxed number.​

Find the surface area of the prism. Write your answer as a fraction or moxed number.