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Shkiper50 [21]
3 years ago
13

A rectangle has the length that is five times longer than it’s width. If the perimeter of the rectangle is 12 inches, whats the

width?
Mathematics
1 answer:
NemiM [27]3 years ago
7 0
The width would be 1 inch.

Given: L = length = 5W; P = perimeter = 2(L+W) = 12 inches
Required: W = width; 
Formula: P=2(L+W) 
Solution:
              12 in = 2 (L + W)
              6 in = L + W
              6 in = 5W + W
              6 in = 6W
              1 in = W
Cross check:
              P = 2(L + W)
              12 in = 2(5 in + 1 in)
              12 in = 2(6 in)
              12 in = 12 in
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Find the volume of a cone with a height of 12 yd and a base diameter of 10 yd.
anyanavicka [17]

Answer:

The volume of the cone is 314yd³

Step-by-step explanation:

radius = half of diameter

d = 10yd

r = 10yd / 2 = 5yd

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume

r = radius  = 5yd

h = height  = 12yd

π = 3.14

v = 1/3 * π * r² * h

we replace with the known values

v = 1/3 * 3.14 * (5yd)² * 12yd

v = 1/3 * 3.14 * 25yd² * 12yd

v = 314yd³

The volume of the cone is 314yd³

4 0
3 years ago
Which expression is equvialent to 2x2 + (4x-6x2) + 9 - (6x+3)?
stepladder [879]
Hello there!

The correct answer is option B


2x² + (4x - 6x²) + 9 - (6x + 3)

Just take them out of the parentheses

2x² + 4x - 6x² + 9 -6x - 3

Combine like terms

2x² - 6x² + 4x - 6x - 3 + 9

= -4x² - 2x + 6

Thus,

The correct answer is option B
5 0
4 years ago
What is the slope of a line perpendicular to a line with equation 6x-4y=30
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3 years ago
How do you work out the size of angle x ?
Andreyy89

Answer:

117°

Step-by-step explanation:

Angle of straight line is 180°

Angles in a triangle add up to 180°

starting at right

180 - 101 = 79° at right side angle in triangle

now solving left side angle

180 - 38 - 79 = 63°

now solving x using left side angle, must add to 180°

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8 0
3 years ago
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blondinia [14]

Answer:

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Step-by-step explanation:

"3 quarter inches to the half mile" can be expressed as "3/4 inch to 1/2 mile."

Write and solve an equation of ratios to obtain the unit rate in inches/mi:

3/4 in          x

---------- = ---------

1/2 mi         1 mi

Cross multiplying, we get 3/4 in-mi = (1/2) mi*x.

Solve this for x by mult. both sides by 2:

6/4 in-mi = x mi

and then dividing both sides by mi:

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Thus, 3/2 in, or 1.5 in, represents 1 mile.

6 0
3 years ago
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