All categories

3 years ago

How much water is used outdoors. Complete The Statement.

Mathematics

2 answers:

trapecia [35]3 years ago

8 0

Answer:

Step-by-step explanation:

90 gallons 30% used outdoors which is .30 as a decimal so you do 90x.30 to get 27

IceJOKER [234]3 years ago

8 0

Answer:

sience 30 perscent of 90 is 27 the average person uses appromisxty of 27 gallons.

Step-by-step explanation:

You might be interested in

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

Write an equation of the line with slope 2/3 that goes through the point -2,5

irinina [24]

Answer:

y = 2/3x + 19/3

Step-by-step explanation:

First, this is your current equation: y = 2/3x + b. Plug in your point to the equation, it should look like this: 5 = 2/3(-2) + b. 2/3 times -2 equals -4/3. So, this is what your equation should look like: 5 = -4/3 + b. Add 4/3 to both sides of the equation to get 19/3 = b. Go back to your original equation and plug 19/3 to b. This is your final equation: y = 2/3x + 19/3. Hope this helped!

7 0

3 years ago

Simplify (-6)÷3<br><img src="https://tex.z-dn.net/?f=%28%20-%206%29%20%5Cdiv%203" id="TexFormula1" title="( - 6) \div 3" alt="(

muminat

Answer :2
100% correct

5 0

3 years ago

Four points are labeled on the number line.Which point represents the value |-1 1/2|?

alukav5142 [94]

Answer: -1

Step-by-step explanation:

i really don't know but i was taking a test and i guessed it and it was right

4 0

3 years ago

Read 2 more answers

Ants have 6 legs. Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the n

krek1111 [17]

Answer:

Step-by-step explanation:

I agree with Katie because number is legs is directly proportional to the number of ants.

1 ant has 6 legs.

So, 2 ants have 6 *2 = 12

3 ants have 6*3 = 18

6 0

2 years ago