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3 years ago

Craig measured these three rectangles.

Mathematics

2 answers:

WINSTONCH [101]3 years ago

5 0

Answer:

Step-by-step explanation:

Perimeter of a rectangle is expressed as (2 length + 2 width) = 2(L + W)

A) The length of rectangle A is y + 1

The width of rectangle A is x

Perimeter of rectangle A = 2(y + 1 + x) = 2y + 2 + 2x

= 2x + 2y + 2

The length of rectangle B is 2x - 2y

The width of rectangle B is x + 1

Perimeter of rectangle B = 2(2x - 2y+ x + 1) = 4x - 4y + 2x + 2) = 4x + 2x - 4y + 2

= 6x - 4y + 2

The length of rectangle C is 3x + 3y

The width of rectangle C is 2x - 3

Perimeter of rectangle C = 2(3x + 3y + 2x - 3) = 6x + 6y + 4x - 6) =

(6x + 6y + 4x - 6)

= 10x + 6y - 6

B) The combined perimeters will be the sum if perimeter of rectangle A, perimeter of rectangle B and perimeter of rectangle C. It becomes

2x + 2y + 2 + 6x - 4y + 2 + 10x + 6y - 6

Collecting like terms

2x + 6x + 10x + 2y + 6y - 4y + 2 + 2 - 6

The combined perimeter = 18x + 4y - 2

damaskus [11]3 years ago

5 0

Answer:

In bold below.

Step-by-step explanation:

2x + 2(y + 1)

= 2x + 2y + 2.

2(2x - 2y) + 2(x + 1)

= 4x - 4y + 2x + 2

= 6x - 4y + 2.

2(3x + 3y ) + 2(2x - 3)

= 6x + 6y + 4x - 6

= 10x + 6y - 6.

2x + 2y + 2 + 10x + 6y - 6 + 6x - 4y + 2

= 18x + 4y - 2.

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What is the ratio a:b if 8a=3b?

Digiron [165]

The ratio a:b is 3:8

Step-by-step explanation:

In simple words, the ratio a:b means the fraction a/b.

So we will have to solve the given equation for a/b

Given

$8a=3b$

Dividing both sides by 8

$\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}$

Dividing both sides by b

$\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}$

The ratio a:b is 3:8

Keywords: Ratios, Fractions

Learn more about ratios at:

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3 years ago

Walker is planning a summer vacation. He want to visit petrified national forest and meteor crater,Arizona,the 500000-year old i

lakkis [162]

Answer:

56.25 miles

Step-by-step explanation:

Walker wants to visit petrified national forest and meteor crater.

On a map, a scale is 2 inches = 75 miles.

The national forest and meteor crater are about 1 and a half inches apart.

Let x miles be the actual distance between national forest and meteor crater.

Then

2 inches - 75 miles

$1\dfrac{1}{2}$ inches - x miles.

Write a proportion:

$\dfrac{2}{1\frac{1}{2}}=\dfrac{75}{x}$

Cross multiply

$2\cdot x=75\cdot 1\dfrac{1}{2}\\ \\2x=75\cdot \dfrac{3}{2}\\ \\2x=\dfrac{225}{2}\\ \\x=\dfrac{225}{4}=546.25\ miles$

Or you can think in such way:

2 inches - 75 miles

1 inch - 37.5 miles

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1 1/2 inches - 37.5 + 18.75 = 56.25 miles

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4 years ago

Question what is the answer -2(4-3p)=24

atroni [7]

Answer:The answer can be calculated by doing the following steps;

Step-by-step explanation:

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3 years ago

Wendy took a trip from one city to another, a distance of 580 mi. she traveled part of the way by bus, which arrived at the trai

azamat

If he traveled x mi by bus, then the time taken using bus is x/40 hours
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Hence, x/40 +(580-x)/80 = 9.5 hours
80(x/40) +80 (580-x)/80 = (9.5)80
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x= 760-580
x = 180
Thus the train covered a distance of (580-x) =580-180 = 400
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4 years ago

A grain silo is in the shape of a cylinder with a hemisphere top. They cylinder is 20 feet tall. The volume of the silo is 2106

andreyandreev [35.5K]

Answer:

The radius of the silo is 5.788 feet.

Step-by-step explanation:

Since the silo has the shape of a cylinder, then;

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