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mrs_skeptik [129]
2 years ago
13

What relationship is represented by the graph

Mathematics
1 answer:
frutty [35]2 years ago
6 0

Answer:

the third one

Step-by-step explanation:

area of a circle vs. it's diameter

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X - 10 = 25 please solve this hurry
Kitty [74]
X - 10 = 25
add 10 to both sides
X = 35
3 0
3 years ago
Read 2 more answers
Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}

Using double angle identities:

\displaystyle  \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2>\displaystyle  \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}</h2>

Simplify:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}

Evaluate:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}

So, our answer is D.

7 0
3 years ago
32 is 40% of what number?<br><br><br><br> Enter your answer in the box.
Rufina [12.5K]
34 / .40 = 85


I hope this helps :)
6 0
3 years ago
Read 2 more answers
If A = 3r^2h^2, and (rh) increases by 100%, then the new A is how many times greater than the old A? PLEASE HELP ME!!! (Specify
Maslowich

Answer: the answer is 3

Step-by-step explanation:

An increase of 100% in the value of (rh) means the value doubles. When that doubled value is squared, the new area is 4 times the old area.The question asks how many times GREATER the new A is than the old A. 4 times AS LARGE AS is a 300% INCREASE, which is 3 TIMES LARGER THAN.So the grammatically correct answer is 3 

3 0
1 year ago
Use formula A=P(1+RT) to calculate the maturity value of the simple interest loan round to two decimal places.
kirill [66]

Answer:

$20,160

Step-by-step explanation:

They don't have a <em>year </em>to pay it back. They have <em>four </em>months so you just use that as time.

Write the equation

A = 15,000 x (1 + 0.086 x 4)

( ) first.

0.086 x 4 = 0.344

rewrite.

A = 15,000 x (1 + 0.344)

( ) again.

1 + 0.344 = 1.344

rewrite

15,000 x 1.344 = 20,160

Hope this helped! Please mark as brainliest! thanks!

7 0
3 years ago
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