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Novay_Z [31]
3 years ago
12

If the area of a rectangle is 24a^2b and the length is 8ab^2, what would be the width of the rectangle, given that width is foun

d by dividing area by length? Simplify the answer. 1. 3a/b 2. b/3a 3. 3/ab 4. 3ab
Mathematics
1 answer:
tester [92]3 years ago
5 0
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------

\bf \textit{area of a rectangle}\\\\
A=WL~~
\begin{cases}
W=width\\
L=length\\
-----\\
A=24a^2b\\
L=8ab^2
\end{cases}\implies 24a^2b=W(8ab^2)\implies \cfrac{24a^2b}{8ab^2}=W
\\\\\\
\cfrac{24}{8}\cdot \cfrac{a^2b}{ab^2}=W\implies 3\cdot \cfrac{a^2a^{-1}}{b^2b^{-1}}=W\implies 3\cdot \cfrac{a^{2-1}}{b^{2-1}}=W\implies \cfrac{3a}{b}=W
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BRAINLIST AND A THANK YOU AND 5 stars WILL BE REWARDED PLS ANSER
vichka [17]

Answer:

The first picture's answer would be (6, 21)

Step-by-step explanation:

You have to find the points on the 8th and the 9th day, and then you would add them together, and then divide by two finding the average, which would be 24 and 18, so when added, you get 42, divided by 2 you get 21. You look on the graph for the point with 21, and you find it is on 6.

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The number -2 is a solution to which of the following inequalities?
lorasvet [3.4K]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
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If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
marusya05 [52]
<h2>Hello!</h2>

The answer is:

Luke did a work of 308N.m

<h2>Why?</h2>

The work appears when a force is applied on a object making it to move covering a distance. The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance

Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m

Have a nice day!

7 0
3 years ago
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In Triangle ABC, AC = BC and mC = 62°. The longest side of the triangle is:
den301095 [7]
Im pretty sure by process of elimination the longest side would be BC.

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Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units
ryzh [129]
Part A:

The distance travelled by an object at time t is given by: d = st
where d is the distance, s is the speed and t is the time.

Given that the cheetah travels a maximum of 70mph, the distance travelled by the cheetah travelling at 70mph at time t is given by d = 70t

There are 60 mins in one hour, so the distance given in miles per minutes is d = 70/60t = 1.167 miles per minutes.



Part B:

Given that t = 10 minutes, the distance covered by the cheetah in 10 minutes is d = 1.167 x 10 = 11.67 miles.



Part C:

<span>If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the first 8 minutes</span> is given by

d = 1.167 x 8 = 9.33 miles.



Part D:

If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then<span> the number of minutes the cheetah have traveled in the second 8 minutes is given by

d = 40/60 x 8 = 5.33 miles



Part E:

</span><span>The distance the cheetah traveled in the first 8 minutes more than in the second 8 minutes </span>is given by

9.33 miles - 5.33 miles = 4 miles.



Part F:

The ratio of the distance travelled in the first 8 minutes to the distance travelled in the next minutes is given by

9.33 : 5.33 = 1.75 : 1.

Therefore, <span>the distance traveled by the cheetah during the first 8 minutes is 1.75 times greater than the distance traveled during the second 8 minutes.
</span>
3 0
3 years ago
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