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3 years ago

Find the area of the circle with a circumference of 50.24 units help me plz

1 answer:

swat323 years ago

4 0

Circumference of a circle=diameter times pi

50.24=d(3.14)
d=16

radius is half of diameter so radius is 8

Area of a circle=pi(r^2)

(3.14)(8^2)=(3.14)(64)=200.96

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Stacy rolls a pair of six-sided fair dice. The probability that the sum of the numbers rolled is either a multiple of 3 or an ev

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2,4,6 are evens so it would be 3/6 which is also 1/2

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3 years ago

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A tank has a capacity of 10 gallons. When it is full it contains 15% alcohol. How many gallons must be replaced by an 80% soluti

PIT_PIT [208]

Answer:

8.46 gallons needed to be replaced

Step-by-step explanation:

Let x be the alcohol amount that replaced

-Original has concentration of 15% multiply by the amount of 10 ,which is equal to (0.15×10).

-Removed has concentration of 15% multiply by the amount of x ,which is equal to (0.15 × X).

-Added has concentration of 80% multiply by the amount of X ,which is equal to (0.8× X).

-Solution has concentration of 70% multiply by the amount of 10 ,which is equal to (0.70×10).

So that, the equation will be:

Solution=Original + added - removed

7=1.5+0.8x-0.15x

7-1.5=0.65x

0.65x=55

x=55/0.65

x=8.46

8.46 gallons needed to be replaced.

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3 years ago

Please help! What is 1/2 + 4 5/8

grandymaker [24]

Answer:It is 5 1/8

Step-by-step explanation:

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3 years ago

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The front of a podium is in the shape of a trapezoid with base lengths 4 and 8.5 feet. the height is 2 feet. a gallon of paint c

sertanlavr [38]

Step 1) Find the area of the trapezoid:

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3 years ago

David cast a shadow 42" long at the same place and time in Emma cast a shadow 28" long. David is 66" tall. What is Emma's height

Nikolay [14]

ANSWER

Emma is 44" tall

EXPLANATION

We have that David cast a shadow 42 inches long and he is 66 inches tall.

At that same place and time, Emma cast a shadow of 28 inches.

Since they are at the same spot and time, we can conclude that the ratio of their height to shadow must be the same.

Let Emma's height be x.

The ratio of David's shadow to height is:

42 : 66 or 42 / 66

For Emma, it is:

28 : x or 28 / x

That means that:

$\begin{gathered} \frac{42}{66}\text{ = }\frac{28}{x} \\ \text{Solve for x by cross-multiplying:} \\ 42\cdot\text{ x = 66 }\cdot\text{ 28} \\ x\text{ = }\frac{66\cdot\text{ 28}}{42} \\ x\text{ = 44 inches} \end{gathered}$

So, Emma is 44" tall.

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1 year ago