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BabaBlast [244]

2 years ago

8

9/35 x 7/16 x 20/21 =show work

1 answer:

Helga [31]2 years ago

5 0

$\frac{9}{35}\cdot\frac{\not7^1}{16}\cdot\frac{20}{\not21_3}=\frac{9}{35}\cdot\frac{1}{\not16_4}\cdot\frac{\not20^5}{3}=\frac{\not9^3}{35}\cdot\frac{1}{4}\cdot\frac{5}{\not3_1}=\frac{3}{\not35_7}\cdot\frac{1}{4}\cdot\frac{\not5^1}{1}\\\\=\frac{3}{7}\cdot\frac{1}{4}\cdot\frac{1}{1}=\frac{3\cdot1\cdot1}{7\cdot4\cdot1}=\frac{3}{28}$

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Eva8 [605]

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Answer: 7.6 units

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2 years ago

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Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3

solmaris [256]

Given:

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

Now,

$\cos (u)=-\sqrt{1-\sin^2 (u)}$

$\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}$

$\cos (u)=-\sqrt{1-\dfrac{49}{625}}$

$\cos (u)=-\sqrt{\dfrac{625-49}{625}}$

On further simplification, we get

$\cos (u)=-\sqrt{\dfrac{576}{625}}$

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Similarly,

$\sin (v)=-\sqrt{1-\cos^2 (v)}$

$\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}$

$\sin (v)=-\sqrt{1-\dfrac{16}{25}}$

$\sin (v)=-\sqrt{\dfrac{25-16}{25}}$

$\sin (v)=-\sqrt{\dfrac{9}{25}}$

$\sin (v)=-\dfrac{3}{5}$

Now,

$\cos (u-v)=\cos u\cos v+\sin u\sin v$

$\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)$

$\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}$

$\cos (u-v)=\dfrac{1 17}{625}$

Therefore, the value of cos (u-v) is 0.1872.

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2 years ago

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lina2011 [118]

Answer:

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Step-by-step explanation:

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3 years ago

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James has a rectangular plot of land that is 250 feet long and x feet wide. He wants to build a fence around the plot of the lan

Margarita [4]

Answer:

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Step-by-step explanation:

Lenght = 250

Width= x

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2 x (250 +x) = 942

500 + 2x = 942

2x = 942 - 500= 442

x = 442 /2 = 221

I hope Im right!!

7 0

2 years ago