True or False: The following three side lengths form a right triangle; 6, 8, and 12?

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what

harkovskaia [24]

The perimeter of the square is calculated through the equation,
4x = P
where P is the perimeter and x is the measure of the sides.

When P is 32 units then,
32 units = 4(x)
x = 8 inches

This 8 inches is the diameter of the cylinder formed by the rotation.
The circumference of the base is calculated through,
C = 2πr = πD
Substituting the known values,
C = π(8 units) = 8π units
When π is equal to 3.14, we solve for the numerical value of the cylinder as follows,
 C = 8(3.14) = 25.12 units
Thus, the figure formed is a cylinder with base circumference equal to 25 units. The answer is the third choice.

6 0

3 years ago

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Ruby is visiting a wildlife center to gather information for her term paper. The center has a circular pond with a diameter of 2

Anton [14]

Well , the diameter means a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. The area means what the extent or measurement of a surface or piece of land. So area means inside so all you need to do is just to divide each side by knowing what 20/4 is and that = 5 meters

5 0

2 years ago

Find the equation of the line passing through the points (5, 2) and (10, 6). y = Xt

Natalka [10]

Answer:

y=4/5x-2

Step-by-step explanation:

here are the given points: (5,2) and (10,6)

First, let's find the slope, which is found with the equation (y2-y1)/(x2-x1)

so let's label the points

x1=5

y1=2

x2=10

y2=6

now we can substitute into the equation

m=(6-2)/(10-5)

subtract

m=4/5

so that means the slope is 4/5

Now, let's use point slope form, which is y-y1=m(x-x1) (m is the slope)

so let's substitute the numbers we know from earlier into the equation

y-2=4/5(x-5)

do distributive prop.

y-2=4/5x-4

add 2 to both sides

y=4/5x-2

hope this helps!

8 0

2 years ago

A rectangular prism has a length of 1 1/2 meters, a width of 3 meters, and a height of 5 1/2 meters. Enter the volume of the pri

ArbitrLikvidat [17]

----------------------------------------
Formula
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Volume = Length x Width x Height

----------------------------------------
Find Volume
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$\text {Volume = } 1 \frac{1}{2} \times 3 \times 5 \frac{1}{2}$

$\text {Volume = } \frac{3}{2} \times \frac{3}{1} \times \frac{11}{2}$

$\text {Volume = } \frac{99}{4}$

$\text {Volume = } 24\frac{3}{4} \ m^3$

8 0

2 years ago

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On a class trip, there were 45 more girls than boys. the total number of students on the trip was 215. write and solve an equati

Evgesh-ka [11]

(b)+(b+45)=215
b = # of boys
there are 45 more girls than boys and 215 students total.
minus 45 on both sides leaving you with
(b)+(b)=170
combine like terms leaving you with
2b=170
divide both sides by 2
b=85
there were 85 boys
85+45=130
(the 45 for the # of girls more than boys)
there were 130 girls.

3 0

2 years ago