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3 years ago

5

James is building a sandbox with a width of 4.8 feet and a length of 7.7 feet. ABOUT how much wood will James need to buy to con

struct the frame of the sandbox? * O 9.6 ft O 25 ft O 12.5 ft O 15.4 ft

2 answers:

4vir4ik [10]3 years ago

8 0

Answer:

it is 25 ft

Step-by-step explanation:

you just add 7.7+7.7+4.8+4.8 to get 25

bekas [8.4K]3 years ago

7 0

Width 4.8(2) + length 7.7(2) = 25

25ft is the answer

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When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is...

enot [183]

Answer:

c. $\frac{1}{\pi}$

Step-by-step explanation:

We have been given that the area in square units of an expanding circle is increasing twice as fast as its radius in linear units

We will use derivatives to solve our given problem.

We know that area (A) of a circle is equal to $A=\pi r^2$ .

Let us find derivative of area function with respect to time.

$\frac{dA}{dt}=\frac{d}{dt}(\pi r^2)$

Bring out constant:

$\frac{dA}{dt}=\pi \frac{d}{dt}(r^2)$

Using power rule and chain rule, we will get:

$\frac{dA}{dt}=\pi(2r)* \frac{dr}{dt}$

$\frac{dA}{dt}=2\pi r*\frac{dr}{dt}$ Here $\frac{dr}{dt}$ represents change is radius with respect to time.

We have been given that area of an expanding circle is increasing twice as fast as its radius in linear units. We can represent this information in an equation as:

$\frac{dA}{dt}=2\frac{dr}{dt}$

$2\pi r* \frac{dr}{dt}=2\frac{dr}{dt}$

$2\pi r=2$

$\frac{2\pi r}{2\pi}=\frac{2}{2\pi}$

$r=\frac{1}{\pi}$

Therefore, the radius is $\frac{1}{\pi}$ and option 'c' is the correct choice.

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3 years ago

I am a factor of 120, and a common multiple of 3, 4, and 10. The sum of my digits is 6.

Galina-37 [17]

Answer:

At first find the lowest common multiple of 3, 4, 10

so it is 60

and 60is a factor of 120 and also the sum of the digits of 60 = 6+0 = 6

.°. 60 is the answer

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3 years ago

Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round

Butoxors [25]

$\bf \qquad \textit{Simple Interest Earned}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &90,000\\
P=\textit{original amount}\to& \$65,452\\
r=rate\to 9.1\%\to \frac{9.1}{100}\to &0.091\\
t=years
\end{cases}$

$\bf 90000=65452e^{0.091t}\implies \cfrac{90000}{65452}=e^{0.091t}\implies \cfrac{22500}{16363}=e^{0.091t}
\\\\\\
\textit{taking \underline{ln} to both sides}\qquad ln\left( \cfrac{22500}{16363} \right)=ln\left( e^{0.091t} \right)
\\\\\\
ln\left( \cfrac{22500}{16363} \right)=0.091t\implies 
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4 years ago

The mean area : ¯ x of the several thousand apartments in a new development by a certain builder is advertised to be 1100 square

Shkiper50 [21]

Answer:

d

Step-by-step explanation:

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3 years ago

After a 20% discount, Eduardo paid $140 for a skateboard. What was the price before the discount?

uranmaximum [27]

Answer:

$175

Step-by-step explanation:

If after a 20% discount, it cost $140, the $140 is only 80% of the cost.

So divide 140 by 4 then multiply the answer by 5 to get it back to 100%

140/4=35

35x5=175

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3 years ago