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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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Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka
love history [14]

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

8 0
3 years ago
The carpet used in Parkers bedroom covers an area of 121 square feet. If the carpet is square, what is the length of each side o
steposvetlana [31]

The length of the carpet's side is 11 feet

Step-by-step explanation:

Step 1 :

The area covered by the carpet = 121 square feet

We need to find the length of side of  carpet

Step 2 :

Since it is given that the carpet is square, the length of all sides are the same

The area is obtained by squaring the side. Hence to find the side from the given area we need to take the root of the area.

Side²  = 121

Therefore side = √121 = 11 feet

Step 3 :

Answer :

The length of the carpet's side is 11 feet

8 0
3 years ago
QUICK HELP PLEASE!!!!
Ksenya-84 [330]

I believe the answer is A

3 0
2 years ago
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