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Lelechka [254]
3 years ago
13

What is the area of the trapezoid? [A = 5(61 + b2)h]

Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer:

A = 105 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = \frac{1}{2} [ (b₁ + b₂)h ]

where h is the height and b₁, b₂ the parallel bases

Here h = 5 , b₁ = 24 and b₂ = 18 , then

A = \frac{1}{2} [ (24 + 18)5 ]

   = \frac{1}{2} (42 × 5)

   = \frac{1}{2} × 210

   = 105 cm²

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Swimming Pool On a certain hot​ summer's day, 143 people used the public swimming pool. The daily prices are $ 1.25 for children
kramer

Answer: 102 children and 41 adults swam at the pool that day.

Step-by-step explanation:

Let x represent the number of children that swam at the public pool that​ day.

Let y represent the number of adult that swam at the public pool that​ day.

On that certain hot​ summer's day, 143 people used the public swimming pool. It means that

x + y = 143

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that

1.25x + 2.25y = 219.75- - - - - - - - -1

Substituting x = 143 - y into equation 1, it becomes

1.25(143 - y) + 2.25y = 219.75

178.75 - 1.25y + 2.25y = 219.75

- 1.25y + 2.25y = 219.75 - 178.75

y = 41

x = 143 - y = 143 - 41

x = 102

5 0
3 years ago
Can you guys help me pls
kherson [118]

Answer:

The answer is 4/6

Step-by-step explanation:

2:3 and 4:6 share the same exact relationship but is expressed using different numbers, for example, 2:3 * 2 = 4:6 and 4:6 / 2 = 2:3

5 0
3 years ago
Read 2 more answers
The value of X is:<br> A 11.3<br> B 8<br> C 16
diamong [38]

Answer:

x ≈ 11.3

Step-by-step explanation:

Using the sine ratio in the right triangle

sin45° = \frac{opposite}{hypotenuse} = \frac{8}{x} ( multiply both sides by x )

x × sin45° = 8 ( divide both sides by sin45° )

x = \frac{8}{sin45} ≈ 11.3

6 0
3 years ago
What is the solution of -8/2y-8=5/y+4-7y+8/y^2-16 <br> y = –4 <br> y = –2 <br> y = 4 <br> y = 6
maria [59]
(-8)/(2y-8)=(5/(y+4))-7y+(8/(y^2-16))
(-4)/(y-4)=(5/(y+4))-7y+(8/(y+4)(y-4))
((-4)(y+4))/((y+4)(y-4))=((5(y-4))/(y+4)(y-4))-(7y(y+4)(y-4))/(y+4)(y-4))+(8/(y+4)(y-4))
(-4(y+4))=(5(y-4))-(7y(y+4)(y-4))+8
-4y-16=5y-20-(7y(y^2-16))+8
-4y-16=5y-20-7y^3+112y+8
-4y-16=117y-7y^3-12
-4=(121-7y^2)(y)
None of these choices would be equal to -4

4 0
3 years ago
Read 2 more answers
3^2∙3^n simplifies to 3^20
yan [13]
2*3=6
6*3.33=20
3^20
i hope that helps
4 0
3 years ago
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