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Lelechka [254]
3 years ago
9

The length of a rectangle is three times its width. If the perimeter is 120 inches, what is the length? The width?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

Length=45 inches, width=15 inches

Step-by-step explanation:

Length=3w

Width=w

Can be written as 3w+w+3w+w

Combine like terms to get 8w

120/8=15

w=15

Width=15 inches

Length=3(15)=45

Length=45 inches

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Answer:

C

Step-by-step explanation:

To get rid of the absolute value bars you have to get two different equations which would be 2x+4>-8 AND 2x+4>8. Pay attention to the signs, if there is greater than or equal to then it would have a line underneath the sign, which neither of the equations should have since you haven't moved a negative. solve normally and you'll get -6 blank circle and 2 blank circle.

4 0
3 years ago
Tim has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. he needs to build
ozzi
The volume of the original prism is given by:
 V1 = (10) * (2) * (h)
 rewriting:
 V1 = 20h
 Where,
 h: height
 The volume of the second prism is given by:
 V2 = (5) * (w) * (h)
 We know that the height is the same.
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 (5) * (w) * (h) = 20h
 Clearing w we have:
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4 0
3 years ago
Find the surface area.
Zinaida [17]

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

6 0
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A spherical weather balloon is leaking hydrogen while at constant altitude. Its radius is described by
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4 0
3 years ago
I am using Bay County, a county located in the state of Michigan. According to the U.S. Census Bay county had a population of 10
xeze [42]

Given:

The intial population in 2019 is, P₀ = 103126.

The final population in 2020 is, P = 103856.

The objective is to find the population in the year 2039.

Explanation:

The general exponential form of population growth is,

P=P_0\times e^{rt}\text{ . . . . . . . (1)}

Here, t represents the time period.

To find t:

The value of <em>t</em> from 2019 to 2020 can be calculated as,

\begin{gathered} t=2020-2019 \\ t=1 \end{gathered}

To find r :

On plugging the obtained values in equation (1),

\begin{gathered} 103856=103126\times e^{r(1)} \\ \frac{103856}{103126}=e^{r(1)} \\ \log (\frac{103856}{103126})=r \\ r=0.003 \end{gathered}

To find population at 2039:

The time period <em>t</em> can be calculated as,

\begin{gathered} t=2039-2019 \\ t=20\text{ years} \end{gathered}

Now, final population after 2019 can be calculated as,

undefined

4 0
2 years ago
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