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2 years ago

Which of the following is a characteristic of all parallelograms?

1 answer:

6 0

Answer: B) Both pairs of opposite sides are parallel

Detailed Explanation:

A Parallelogram is a Quadrilateral in which both pairs of opposite sides are Parallel.

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Solve by factorising<br> x^{2} + 8x + 15 = 0

AVprozaik [17]

(x+5) (x+3)

x^2 = (x+?) (x+?)
8x+15= 5&3
8x= 5•3
15= 5+3

8 0

3 years ago

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A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width

timama [110]

Answer:

$D.\ 3328\ ft^3$

Step-by-step explanation:

Given

Volume of baby pool = 52ft³

Required

Determine the volume of the medium pool

Volume of a cylinder is calculated as:

$V = \pi r^2h$

Hence, the volume of the baby pool is:

$\pi r^2h = 52$

where r and h are the radius and height of the baby pool

Represent the height and radius of the medium pool as H and R

From the given parameters in the question

$H = 4 * h$ and $R = 4 * r$

$H = 4 h$ and $R = 4 r$

The volume of the medium cylinder is calculated as

$Volume = \pi R^2H$

Substitute 4h for H and 4r for R

$Volume = \pi (4r)^2(4h)$

Open bracket

$Volume = \pi (4r) * (4r) * (4h)$

$Volume = \pi 16r^2 * (4h)$

$Volume = \pi 16r^2 * 4h$

Collect like terms

$Volume = \pi r^2 * h * 4 * 16$

$Volume = \pi r^2 h * 64$

Recall that $\pi r^2h = 52$

So, the expression becomes

$Volume = 52 * 64$

$Volume = 3328$

Hence, the medium pool can hold $3328ft^3$ of water

3 0

3 years ago

How many gallons in 12 quarts?

fiasKO [112]

3 gallons are in 12 quarts. 4x3=12. 4 qts make 1 gallon

4 0

3 years ago

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The surface area of a sphere having a diameter of 8 inches is:

Dvinal [7]

64 is the correct answer

5 0

3 years ago

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X/-3+20=30 help me please

Svetllana [295]

if you're solving for x it's -30

steps: x/-3+20=30

first subtract 20 from both sides then you'll have

x/-3=10 then multiply both sides with -3

you should have x by itself and -30 on the other side

answer x=-30

7 0

3 years ago

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