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Advocard [28]
3 years ago
8

What is 913 rounded to the nearest hundred

Mathematics
1 answer:
mixer [17]3 years ago
8 0
If i mean .913 then .91 but if u wrote it correctly then 900
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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 of the following points is in the solution set of y < x^2-2x-8
enot [183]

Answer:

y < (x - 4)(x + 2)

so the critical points are -2 and 4

(-2,-1) will be in the solution

( 0,-2) will not  

(4,0) will not.

the answer is ((-2,-1)



3 0
3 years ago
Read 2 more answers
? ?please simplily.55/32
Ugo [173]
.0171875 IS THE SIMPLEST FORM IN DECIMAL FORM 
8 0
4 years ago
If 75% of a number is 255 and 20% of the same number is 68, find 95% of that<br> number.
Tanzania [10]

Answer:

75% may also be expressed as 75/100=3/4 or as 0.75 as needed.

 

Let x = the number

 

Translate:

 "if 75% of a number is 60"       means

     (75/100)  *  x      =  60            [the word "of" usually means multiply]

     (3/4) x = 60                           [reduce or just write it this way]

        x  = 60(4/3)                       [multiply both sides by  4/3]

        x = 80

Step-by-step explanation:

8 0
3 years ago
A parabola can be drawn given a focus of (1,3) and a directrix of x = -7. What
irakobra [83]

Answer:

Below.

Step-by-step explanation:

The parabola will open to the right and will be symmetrical about y = 3.

The vertex is halfway between x = 1 and x = -7 making it at (-3, 3).

The p value is the distance between the vertex and the focus - here it is 1 - -3

= 4.

8 0
3 years ago
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