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3 years ago

A rectangular prism has a 4-inch-by-5-inch base and

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Step-by-step explanation:

A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.

A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.

The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.

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A rectangle has a perimeter of (12+8y). If one side of the rectangle is (4x-2y), write an expression of the other side.

ziro4ka [17]

P = 2(l+w)

substitute for P and l

12+8y = 2 (4x-2y+w)

distribute

12+8y = 8x -4y +2w

solve for w

subtract 8x from each side

12 +8y -8x = -4y+2w

add 4y to each side

12 +12 y -8x = 2w

divide by2

6 +6y-4x =w

the other side is 6+6y-4x

8 0

3 years ago

I need help with number 10

Licemer1 [7]

The answer to the question is 2b+3

3 0

4 years ago

total number of boys and girls in a class is 42. if the number of girls is 10 more than the boys find the number of boys?? answe

dsp73

Answer:

$\boxed{\sf Total \ number \ of \ boys = 16}$

Given:

Total number of boys and girls in class = 42

Total number of girls = 10 more than the boys

To Find:

Total number of boys

Step-by-step explanation:

Let total number of boys be 'x'

$\sf So, \\ \sf Total \: number \ of \ girls = x + 10 \\ \\ \therefore \\ \sf \implies Total \: number \: of \: boys \: and \: girls \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: = Total \: number \: of \: boys + Total \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: number \: of \: girls \\ \\ \sf \implies 42 = x + (x + 10) \\ \\ \sf 42 = x + (x + 10) \: is \: equivalent \: to \: x + (x + 10) = 42 : \\ \sf \implies x + (x + 10 )= 42 \\ \sf \implies x + x + 10 = 42 \\ \\ \sf x + x = 2x : \\ \sf \implies \boxed{ \sf 2x} + 10 = 42$

$\sf Substrate \: 10 \: from \: both \: sides : \\ \sf \implies 2x + (10 - \boxed{ \sf 10}) = 42 - \boxed{ \sf 10} \\ \\ \sf 10 - 10 = 0 : \\ \sf \implies 2x = 42 - 10 \\ \\ \sf 42 - 10 = 32 : \\ \sf \implies 2x = \boxed{ \sf 32} \\ \\ \sf Divide \: both \ sides \: by \: 2 : \\ \sf \implies \frac{2x}{ \boxed{ \sf 2}} = \frac{32}{ \boxed{ \sf 2}} \\ \\ \sf \frac{2x}{2} = \frac{ \cancel{2}}{ \cancel{2}} \times (x) = x : \\ \sf \implies x = \frac{32}{2} \\ \\ \sf \frac{32}{2} = \frac{16 \times \cancel{2}}{ \cancel{2}} = 16 : \\ \sf \implies x = 16$

So,

Total number of boys = x = 16

6 0

4 years ago

Find the volume of a sphere with a radius of 5 in. Round to the nearest hundredth. A) 53.05 in3 B) 104.72 in3 C) 392.70 in3 D) 5

tangare [24]

Answer: 523.60

--------------------------------------

Work Shown:

V = (4/3)*pi*r^3
V = (4/3)*pi*5^3
V = 523.598775598299 <<-- use a calculator for this step
V = 523.60 <<-- rounding to two decimal places

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3 years ago

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How are expressions and equations different

asambeis [7]

An "equation" has a left side, a right side and an equals sign separating the sides. An "expression," by contrast, doesn't have any "sides" and is simply what the name suggests: An algebraic "expression<span>."</span>

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3 years ago

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