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Liono4ka [1.6K]
2 years ago
12

Need help with explanation on solving this problem.

Mathematics
1 answer:
ivanzaharov [21]2 years ago
8 0

Answer:

x=27.80

Step-by-step explanation:

we know that cosA=base/hypotaneous

so,

cos44 =  \frac{20}{x}  \\ x =  \frac{20}{cos(44)}  \\  =  \frac{20}{0.7193...} \\  = 27.80

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A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 5 centimeters. What is the su
ladessa [460]

Answer: 158cm^2

Step-by-step explanation:

You can use the following formula to calculate the surface area of the right rectangular prism:

SA = 2(wl +lh + hw)

Where "w" is the width, "l" is the length, and "h" is the height.

Knowing that this rigth rectangular prism  has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.

Then, the surface of the right rectangular prism is:

SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2

4 0
4 years ago
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Deffense [45]

Answer:FH=8\sqrt{51}

Step-by-step explanation:

This is a special right triangle that has 30, 60 and 90 degress corners. Because it is a special triangle, it also has side length values which always consistent relationship with one another.

Side opposite the 30° angle: x

Side opposite the 90° angle: 2x

So, FG=8\sqrt{17}

Then use Pythagorean theorem. c^{2} =a^{2} +b^{2}

(16\sqrt{17} )^{2} =FH^{2} +(8\sqrt{17} )^{2}

FH^{2} =4352-1088

FH=\sqrt{3264}

FH=8\sqrt{51}

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3 years ago
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