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Delicious77 [7]
3 years ago
13

a counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counte

r top is 1,224 square inches. Find the height of the counter top
Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0
For the trapezoid, the equation used to solve for the area is,
                           A = (0.5)(b₁ + b₂)(h)
where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,
                          1224 = (0.5)(70.5 + 65.5)(h)
                                     h = 18
Thus, the height of the counter top is 18 inches. 
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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
If someone was born in 2018 September 12th how old will they be in 2082?
Margaret [11]

Answer: 64 years old

Step-by-step explanation:You subtract 2082 by 2018 to get the sum of 64

7 0
3 years ago
Read 2 more answers
One team c 82.5% of the football players weigh more then 200 pounds if 40 men are on the team how many weigh more then 200 pound
valentinak56 [21]
The answer is 33 because 40*0.825 or 40*82.5% is 33 men.
7 0
3 years ago
Angle A and angle B are supplementary angles. If the measure of angle A = (3x - 12) and the measure of angle B = (4x - 25), find
Crank

Answer:

what is x so I can help you.

4 0
2 years ago
PLEASE HELP WITH FINDING AREA
AnnyKZ [126]

When you have an irregular figure, you can divide it so that it becomes multiple normal figures. You already did this in the picture, now you just have to find the area of each shape and then add them all together.

From bottom to top:

A=1/2 (b1+b2)h

A= 1/2 (4+2.24)(2)

A= 6.24

(you have two of these on either side)

A=bh

A=6(4)

A=24

A=1/2 bh

A= 1/2 (4)(4)

A=8

(NOTE: there is an error in your drawing. The height of the triangle cant be determined because the 10 value spans over the entire figure when the wings of the rocket are 4 units long and then the body is 6 units long, making it equal 10 already. I'm assuming that the 10 is supposed to go from the bottom of the rectangle to the top of the triangle)

Total figure= 6.24 + 6.24 + 24 + 8

total figure = 44.48

6 0
3 years ago
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