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xxTIMURxx [149]
3 years ago
3

In the right triangle shown, m ∠ G = 45 ° m∠G=45°m, angle, G, equals, 45, degree and H I = 7 HI=7H, I, equals, 7. how long is gh

Mathematics
2 answers:
LuckyWell [14K]3 years ago
8 0

Answer:

7 root 2

Step-by-step explanation:

just is

laila [671]3 years ago
4 0

Answer:

<h2>GH = 7</h2>

Step-by-step explanation:

The question is lacking a diagram. check the diagram in the attachment.

Given the right angled triangle as shown in the attachment.

Since one of the acute angle ∠ G = 45°, the other acute angle ∠I = 45 °. Using the trigonometry ratio to get the side GH. Taking GH as the adjacent and HI as the opposite side. According to TOA;

tan∠G = opp/adj

tan∠G = HI/GH

tan45° = 7/GH

GH = 7/tan45°

GH = 7/1

GH = 7

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The answer to the questions of volumes are given as follows

a) v=128 \pi

b) v=\frac{128}{3} \pi

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b)  line y=4

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Using shell method

v = \int_{0}^{4} 2 \pi(4-y) \cdot y^{2} d y \\

v=2 \pi \int_{0}^{4}\left(4 y^{2}-y^{3}\right) d y

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c) y-axis

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v=\pi\left(\frac{y 5}{5}\right)_{0}^{4}  \\

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d) line x=-1

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Using shell method

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V=\int_{0}^{16} 2 \pi(1+x) \sqrt{x} d x$

V=2 \pi\int_{0}^{16}(x^{1 / 2}+x^{3 / 2}\right) )d x\right. \\

V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\

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V=4 \pi / 3 \cdot 4^{3}+4 \pi / 5 \cdot 4^{5} \\

V=4 \pi\left(\frac{1}{3}+\frac{4^{2}}{5}\right)

V=\frac{256}{15}(5+48) \pi \\

V=\frac{256 \times 53}{15} \pi \\

V=\frac{13568}{15} \pi

Read more about volumes

brainly.com/question/1578538

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