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2 years ago

Please answer this question

Mathematics

1 answer:

Semmy [17]2 years ago

4 0

Answer: -3x + 15

Step-by-step explanation: you multiply -3 by x so you get -3x, then you multiply -3 by -5 and get +15, then you just put the two together in an equation.

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A giant pizza box in the shape of a rectangular prism measures 38 m × 38 m × 0.25 m. What is the surface area of the box?

expeople1 [14]

361m I hope this helps

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3 years ago

How far do US workers travel to get to their jobs? A researcher would like to collect information on the commute distance travel

Liono4ka [1.6K]

The first answer I have to just guess.

Step-by-step explanation:

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2 years ago

Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE

AVprozaik [17]

Answer:

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

A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On ano

Orlov [11]

3,000 yd3 = 200 dtl
Chapter 1: Problem Solving 17 / 21

Rates Question
12 A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
3,000 yd3 = 200 dtl
40,000 yd3 × 200 dtl = 2,667 dtl
3, 000 yd3

6 0

3 years ago

Ryleigh receives her pay monthly. Her deductions include $112 in Federal Income Tax, State Tax of 3.5% of gross, City Tax of 2.5

vodka [1.7K]

9514 1404 393

Answer:

$6,106.87

Step-by-step explanation:

The total of percentage deductions is ...

state tax + city tax + social security + medicare

= 3.5% +2.5% +6.2% +1.45% = 13.65%

Then Ryleigh's take-home pay is ...

gross(1 -13.65%) -112 = 5161.28

gross = (5161.28 +112)/0.8635 = 6106.87

Ryleigh's monthly gross is $6,106.87.

8 0

3 years ago

Read 2 more answers