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3 years ago

The formula for calculating the volume of a sphere is: v=4/3pir^3. Solve for r

1 answer:

8 0

$V = \frac{4}{3}\pi r^3 | \cdot(\frac{3}{4})\\\frac{3}{4}V = \pi r^3 | : \pi\\\frac{3}{4\pi}V = r^3\\\sqrt[3]{\frac{3}{4\pi}V} = r$

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What is the range of the function y=2sin x

statuscvo [17]

take the absolute value of the coefficient (2)

then the lower bound is the negative of that (-2)

so the range is [-2,2]

7 0

2 years ago

Read 2 more answers

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

A pole that is 3.1m tall casts a shadow that is 1.29m long. At the same time, a nearby building casts a shadow that is 44.75m lo

Mkey [24]

Let b=height of building. By similar triangles we can say:

b/44.75=3.1/1.29

b=44.75*3.1/1.29

b≈107.54

b≈108 meters (to the nearest whole meter)

8 0

3 years ago

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The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was$2.89 . Find the percentage decrease. Rou

alexandr1967 [171]

Decrease = initial price - final price

% decrease = [ (initial price - final price) / initial price ] *100

% decrease =[ (2.89 - 2.83) / 2.89] * 100 = 2.08, which can be rounded to 2.1

Answer: 2.1 %

5 0

3 years ago

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The new laptop measures 2 inches tall, 12 inches long, and 16 inches wide. Which is the correct unit of measurement to use when

ki77a [65]

The answer to this question is in squared

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2 years ago

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