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3 years ago

5

Ashley is utilities manager at a paper mill. It takes 4/5 an hour to fill 1 tank. How many tanks can she fill in one hour

1 answer:

jeka57 [31]3 years ago

5 0

Answer:

She can fill 1 and 1/4 tanks

Step-by-step explanation:

the reason she can fill 1 and 1/4 tanks is because if you multiply 5 by 12 you get 60 and then you multiply 4 by 12 and its 48 so 48/60 is what you get meaning that it takes her 48 minutes to fill one tank and 48 plus 12 is 60 and 12 is 1/4 out of 48 so you get 1 and 1/4 tanks she can fill in one hour.

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sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).

Ilia_Sergeevich [38]

Answer:

Therefore $\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

Step-by-step explanation:

Given values are

$\sin \alpha=\frac{7}{25}$

$\cos \beta=\frac{2}{5}$

$\sin^2x+\cos^2=1$

$\cos \alpha=\sqrt{1-\sin^2\alpha}$

$\cos \alpha=\sqrt{1-(\frac{7}{25})^2}$

$\cos \alpha=\sqrt{1-\frac{49}{625}}$

$\cos \alpha=\sqrt{\frac{576}{625}}$

$\cos \alpha=\frac{24}{25}$

$\sin \beta=\sqrt{1-\cos^2\beta}$

$\sin \beta=\sqrt{1-(\frac{2}{5})^2}$

$\sin \beta=\sqrt{1-\frac{4}{25}}$

$\sin \beta=\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\cos\alpha\cos\beta+\sin\alpha\sin\beta$

$\cos(\alpha-\beta)=\frac{24}{25}\times\frac{2}{5}+\frac{7}{25}\times\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

7 0

2 years ago

Help me please I forgot my notes at school

sukhopar [10]

1/2 x 6 = 3
3 x 8 = 24
24/6 = 4
4 - 1 = 3

3 is your answer

hope this helps

6 0

2 years ago

Read 2 more answers

Twenty four over the quantity of 3 x minus two. Find f(−2).

TEA [102]

Answer:

f(-2) = -3

Explanation:

Not sure if those last couple numbers are answer choices, but I'm going to infer that they might be.

Twenty four over the quantity of 3 x minus two in standard form is:

f(x) = <span>24<span>3x−2</span></span>

Since the number in the ( ) = x, plug in for x using f(-2)

<span>24<span>3∗<span>(−2)</span>−2</span></span>

P E {M D} {A S} for where to solve first

Multiply the 3 and (-2):

<span>24<span>−6−2</span></span>

Add -6 and -2:

<span>24<span>−8</span></span>

Divide the rest:

f(-2) = -3

3 0

3 years ago

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of

Bas_tet [7]

Answer:

1470 inches cubed

Step-by-step explanation:

Vol=length × width × height

But ALSO,

length × width = Area,

So we find another Volume equation,

Vol = BaseArea × height

This is the information you are given in the question.

Vol = 210 × 7

Vol = 1470 inches cubed

7 0

2 years ago

For science class, Sammy is using the length of his stride to measure the length of a field. He finds that the field is 157 stri

USPshnik [31]

Answer: 219.8 meters

Step-by-step explanation:

Since his stride measures 1.4 meters and the length of the field is 157 strides, then the length of the stride in meters is 157*1.4 meters.

= 219.8 meters

4 0

2 years ago