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Leokris [45]
3 years ago
11

A + x + p + 8 = r solve for x all help is appreciated!!

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

a+x+p+8 =r

(to solve isolate x)

x=r-(a+p+8)

x= r-a-p-8

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the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle
raketka [301]

Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

   x by 2 and subtract 5 from the product to find its length

∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

∴ P = 2(3x - 5)

- Multiply the bracket by 2

∴ P = 6x - 10

∵ The perimeter of the rectangle is 146 units

∴ P = 146

- Equate the two expression of P

∴ 6x - 10 = 146

- Add 10 to both sides

∴ 6x = 156

- Divide both sides by 6

∴ x = 26

Substitute the value of x in W and L expressions

∴ W = 26 units

∴ L = 2(26) - 5 = 52 - 5

∴ L = 47 units

Now use the formula of the area to find the area of the rectangle

∵ A = 47 × 26

∴ A = 1222 units²

∴ The area of the rectangle is 1222 units²

7 0
3 years ago
Please I need help :(. This packet is worth my grade :,( please help
Nadya [2.5K]

its like 17 or 7 each

7 0
2 years ago
4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The
a_sh-v [17]
4.) The lateral area of a figure is the area of the figure with the exception of the bases.
Given a prism with right triangle bases, the lateral area of the prism is the sum of the areas of the rectangles making up the prism.
This is given by
Lateral area = (8.94)(41) + (4)(41) + (8)(41) = 366.54 + 164 + 328 = 858.54 ≈ 859 m^2

The surface area is the sum of the bases plus the lateral area. The area of a rectangle is given by half base times height.
Surface area = 1/2 x 8 x 4 + 1/2 x 8 x 4 + 859 = 16 + 16 + 859 = 891 m^2

5.) The surface area of a cylinder is given by pi r^2h where r is the radius = 12 inches and h is the height = 17 inches.
Surface area = π x (12)^2 x 17 = 2,448π = 7,690.62 in^2 ≈ 7,691 in^2
3 0
3 years ago
What is the mathematical formula for finding the volume of a pyramid
Marta_Voda [28]
Volume of a pyramid= 1/2 * base area * height 
3 0
3 years ago
Which equation represents a line that is parallel to the y-axis?
alekssr [168]
In a line parallel to y-axis, the x would have to be constant, if it's not constant (always the same) then it won't be parallel. Constant values of y could be y=1, y=2... etc, and we have this as an option: y=5, this is the correct answer.

(1) would be parallel to x axis and 2 and 4 are diagonal or sloping lines.
6 0
3 years ago
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