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3 years ago

Find the circumference and area of a circle with radius of 5 centimeters. Write your answers in terms of pi.

Mathematics

1 answer:

kenny6666 [7]3 years ago

8 0

Answer:

its C

Step-by-step explanation:

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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

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

$\cos (u)=-\dfrac{24}{25}$

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.

6 0

3 years ago

Which expressions are equivalent to 9x(2+y) ?

OleMash [197]

9x(2+y)

18x+9xy

The answer is A B and C.

5 0

3 years ago

What is y??? Pls help meeee I don’t understand how to do it

Anon25 [30]

Answer:

what do you want the slope? The y cordinate is where the points are on the y axis.

Step-by-step explanation:

3 0

2 years ago

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jamie has 8/10 of a candy bar leftover he want to split into 1/3 pieces how many 1/3 pieces can he make

diamong [38]

Answer:

Step-by-step explanation: solution.. 8/10 of candy bar left over to be split into 1/3 pieces...

(8/10)÷1/3=12/5=2.4pieces

8 0

3 years ago

Please Help<br>Show Work

charle [14.2K]

Answer:

$m$

Step-by-step explanation:

We can solve this inequality by isolating the variable $m$ .

To do this, we subtract 8 from both sides of the equation.

$15-8 > m+8-8$

$7>m$

I always like formatting by inequalities with the variable on the left, so we just reverse the numbers and the sign.

$m$

Hope this helped!

7 0

3 years ago

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