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frez [133]
3 years ago
12

Please help with number 10

Mathematics
1 answer:
Flura [38]3 years ago
3 0

Answer:

  • see below for a drawing
  • the area of one of the trapezoids is 20 units²

Step-by-step explanation:

No direction or other information about the desired parallelogram is given here, so we drew one arbitrarily. Likewise for the segment cutting it in half. It is convenient to have the bases of the trapezoids be the sides of the parallelogram that are 5 units apart.

The area of one trapezoid is ...

  A = (1/2)(b1 +b2)h = (1/2)(3+5)·5 = 20 . . . . square units

The sum of the trapezoid base lengths is necessarily the length of the base of the parallelogram, so the area of the trapezoid is necessarily 1/2 the area of the parallelogram. (The area is necessarily half the area of the parallelogram also because the problem has us divide the parallelogram into two identical parts.)

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When born, a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10
ladessa [460]

Answer:

I believe the answer is C

Step-by-step explanation:

if the baby weighted 8.5 pounds when born then that is the initial value therefore the baby will be weighted 1.6 times 10 weeks or w

hope this helps

5 0
3 years ago
A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dime
sammy [17]

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

∵ The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

∴ The length of the carpet is (x + 67) inches

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

∴ 2(length + width) = 194

→ Divide both sides by 2

∴ length + width = 97

→ Substitute the value of the length and width in the equation above

∵ x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

∴ 2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

∴ 2x = 30

→ Divide both sides by 2

∴ x = 15

∵ x represents the width of the carpet

∴ The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

∴ The length of the carpet is 82 inches

∴ The dimensions of the carpet are 15 inches and 82 inches

3 0
3 years ago
What’s y of 2x+3y=7.20 and 4x+2y=8.80
Arturiano [62]

Answer:

(x,y)=(3/2,7/5)

Step-by-step explanation:

7 0
3 years ago
The length of a rectangle is twice it’s width. If the area of the rectangle is 72ft ^2, find it’s perimeter
alisha [4.7K]

Hi!

length = l = 2 * width = 2 * w

Area = l * w = l * 2 * l = 2 * l^2

2 * l^2 = 72

l^2 = 72/2 = 36

l = square root of 36

l = 6

l = 2 * w => w = l/2 = 6/2 = 3

Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet

Hope this helps!

7 0
3 years ago
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