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Lana71 [14]
3 years ago
11

Find the surface area of the following figure.​

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0

Answer:

Surface area is 77cm.

Step-by-step explanation:

To find the surface area, you must find the area of all shapes (surfaces) ad add them together.

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In ΔFGH, the measure of ∠H=90°, the measure of ∠F=44°, and GH = 14 feet. Find the length of HF to the nearest tenth of a foot.
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Answer: 14.5 feet

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3 years ago
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Sindrei [870]

Answer:

x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}

Then

\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}

From the similarity of triangles,

\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}

6 0
3 years ago
4x-8 = 12<br> 4x - 8 + 8 = 12 + 8<br> 4x= 20<br> 4/4x=20/4 x=
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Answer:

x=5

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5 0
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What is the equation of a line that passes through (-6, 2) and has a slope of `-(1)/(2)` ?
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The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente
Bond [772]

Answer:

1.25 seconds

Step-by-step explanation:

Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.

At the maximum:

8π/5 t = 0

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At the minimum:

8π/5 t = π

t = 5/8

t = 0.625

The time from maximum to minimum is 0.625 seconds.  Therefore, the time from minimum back to maximum is also 0.625 seconds.  So the total time is:

0.625 + 0.625 = 1.25

7 0
3 years ago
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