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2 years ago

Solve for the missing side of the triangle.

Mathematics

1 answer:

SVEN [57.7K]2 years ago

8 0

Answer:

19.209372712298546 (C)

Step-by-step explanation:

For this you use pythagorean theorem. a squared + b squared = c squared which is your missing side. 15 squared is 225 and 12 squared is 144 so together thats 369. Now we know c squared is 369 so we find the square root of that and boom. So your answer is C (19.2)

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PLEASE HELP ASAP :)

Temka [501]

Answer:

4538x43s +>35

Step-by-step explanation:

8 0

3 years ago

If g(x) =4x+2 and f(x) =3x-10 <br><br> find g(f(3))

Leya [2.2K]

Answer:

$g(f(3))=-2$

Step-by-step explanation:

So we have the two functions:

$g(x)=4x+2\text{ and } f(x)=3x-10$

And we want to find g(f(3)).

So, let's find f(3) first:

$f(3)=3(3)-10$

Multiply:

$f(3)=9-10$

Subtract:

$f(3)=-1$

Therefore, we can substitute -1 for f(3):

$g(f(3))=g(-1)$

Now, find g(-1):

$g(-1)=4(-1)+2$

Multiply:

$g(-1)=-4+2$

Add:

$g(-1)=-2$

And we're done!

So:

$g(f(3))=-2$

6 0

3 years ago

Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna

uysha [10]

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : $\hat{p}=\dfrac{150}{400}=0.375$

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

$P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})$

$=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]$

$=P(z>-1.02)=P(z-z)=P(Z$

$\approx0.8461$ [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

4 0

3 years ago

Find the fraction of Chandler's comic book collection that is made

m_a_m_a [10]

Im not sure what your asking

8 0

3 years ago

Suppose that P is the point on the unit circle obtained by rotating the initial ray counterclockwise through 330 degrees. Find t

Flauer [41]

Answer:

Reference angle will be 30°

sin(330°) will be equal to $\frac{-1}{2}$