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harina [27]
3 years ago
9

(9x^3 - 48x^2 + 13x +3) divided by (x - 5)

Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0
The answer is d. I used synthetic division
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What is cos theta when sin theta = sqrt 2/3
Fittoniya [83]

<u>Answer:</u>

Value of cosθ is ±√7/3 .

<u>Step-by-step explanation:</u>

According to the Question , value of :

\red{\implies sin\theta = \dfrac{\sqrt2}{3}}

And , we know the identity of sine and cosine as ,

\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }

<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}

3 0
3 years ago
Yolanda dug a hole in the ground that is deeper than -10 inches . She says the depth of the hole is greater than 10 inches. Is Y
denpristay [2]
No, she is not right
8 0
3 years ago
Which expression is equivalent to 5x+3?​<br><br><br>A. 8x<br>B. 3+5x<br>C. 3x+5<br>D. 5(x+3)
MariettaO [177]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help please it would help my grade alot
Alexxandr [17]

Answer:

It cooled 58.4 degrees

Step-by-step explanation:

T(t) = 68 + 144e ^(-.052t)

We want to find the value when t= 10

T(10) = 68 + 144e ^(-.052*10)

        = 68 +85.611

 T(10)         =153.611

We also need to know

T(0)= 68 + 144e ^(-.052*0)

       =68+144

        =212

We want to know how much it cools

That would be the temperature at  time 0 minus the temperature at  time 10


T(0) - T (10)

212-153.611

58.389

To the nearest tenth

58.4 degrees

3 0
3 years ago
Regina’s teacher recently gave her a homework assignment on solving equations. Since she has been thinking about saving for a ne
creativ13 [48]

Answer:

sdcsdcsdcs    

Step-by-step explanation:

sdcdsc

6 0
3 years ago
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