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Sladkaya [172]
3 years ago
12

The cross section of a water bin is shaped like a trapezoid. The bases a a trapezoid are 20 feet and 6 feet long. It has a area

of 39 square feet. What is the height of the cross section?
Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

the height of the cross section is 3 feet

Step-by-step explanation:

The computation of the height of the cross section is shown below:

Area = 1 ÷ 2 × (a + b) × h

39 = 1 ÷ 2 × (20 + 6) × h

39 =  1 ÷2 × 26 × h

39  = 26 ÷ 2 × h

39 = 13 × h

h = 39 ÷ 13

= 3 feet

hence, the height of the cross section is 3 feet

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In the same year. Of the 258 million tons of waste generated 136 million tons ended up in a landfill. What is the percentage of
Assoli18 [71]

Answer: 37 percent of waste is disposed of in some form of a landfill, 8 percent of which is disposed of in sanitary landfills with landfill gas collection systems

The U.S. is the king of trash, producing a world-leading 250 million tons a year—roughly 4.4 pounds of trash per person per day Collectively, out of the 254 million tons of trash Americans can produce in one year, we recycle about 34.3 percent of it. For our average individual, 710.6 pounds are recycled and 1,361.4 pounds of trash are tossed out every year — about the weight of a grizzly bear Every year, U.S. landfills are filled with 139.6 million tons of waste, including 30.63 million tons of food. 26.82 million tons of plastic. 18.35 million tons of paper and paperboard.

don't mark brainiest

3 0
3 years ago
2.02b + 4.30 = 2.00b + 6.30
bonufazy [111]

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting:  b = 100

6 0
3 years ago
Prove that the diagonals of a parallelogram bisect each other.<br> The midpoint of AC is
iren2701 [21]

Answer:

Theorem: The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD intersect at E, we must prove that AE ∼ = CE and BE ∼ = DE. The converse is also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Step-by-step explanation:

3 0
3 years ago
I’m confused on this one
dedylja [7]

It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.


So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:


AB^2 + AD^2 = BD^2


AD^2 = BD^2 - AB^2


AD = \sqrt{ BD^2 - AB^2 }


AD = \sqrt{149^2 - 51^2} = \sqrt{19400} = 140


Answer: 140 cm


I don't recall seeing this Pythagorean Triple before.





3 0
3 years ago
4. Mr. Ramos invests $600 at a simple interest rate of 6%. How much interest will he earn in one year?
lora16 [44]

Answer:

$36 if it's an annual rate. If it's a monthly rate it's $432

Step-by-step explanation:

Since it's such a high interest rate to pay, I think the logical rate would be annually because that's a lot of money for a bank to give

4 0
3 years ago
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