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Agata [3.3K]
2 years ago
13

The diagram shows a pyramid whose base is a regular pentagon of area 42 cm2 and whose height is 7 cm.

Mathematics
1 answer:
AnnZ [28]2 years ago
8 0
We know, Volume = Area of base pentagon * h/2
V = 42 * 7/2
V = 21 * 7
V = 147 cm³

In short, Your Answer would be 147 cm³  [ Option D ]

Hope this helps!
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Amir and Edward are twins, They want to invite their friends to celebrate birthday party at a bowling alley. They have a budget
tia_tia [17]

Answer:

A.

Amir's equation : 5.50 p + 55.99 =200

Edward's equation : 5.50 p+ 55.99 ≤ 200

B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.

Step-by-step explanation:

The budget is $200

The party room charges $55.99

The charge per person is $5.50

Letting p =number of people that can attend the party, then

A.

Equation for cost that Amir use is;

$5.50*p + $55.99 = $200

5.50 p + 55.99 =200

5.50 p = 200-55.99

5.50 p =144.01

p= 144.01/5.50 = 26 -------Amir's equation will also give the number of people that can attend the party with the budget of $200

For Edward's case

$5.50 p +$55.99 ≤ $200

5.50 p+ 55.99 ≤ 200

5.50 p ≤ 200-55.99

5.50 p ≤ 144.01

p ≤ 144.01/5.50

p ≤ 26

Edward's inequality suggests that for the budget of $200 , 26 or less people can attend the party.

B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.

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1 year ago
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