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AVprozaik [17]
3 years ago
10

Type the answers in the boxes below.

Mathematics
2 answers:
Vaselesa [24]3 years ago
5 0

Let m and h represent hours Mai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have  

 7m +14h = 8.40(m+h)

 Subtract 7m+8.40h:  5.60h = 1.40m

 Divide by 1.40:  m = 4h

Then the total number of hours worked by either person is

 m + h = (4h) +h = 5h

When only whole numbers of hours are worked, the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Therefore, each of them must work 5 hours and earn $42 before they go to the movies and Mai will work 4 hours mowing and 1 hour hauling.

Cerrena [4.2K]3 years ago
5 0

Answer: they worked 11 hours in total. (Mai works 6 hours and Priya works 5 hours) they will have earned $98. Without adding the extra $14 it’s $84.

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Given:

The right triangular prism.

Height of prism = 28 in.

Hypotenuse of base = 25 in.

leg of base = 24 in.

To find:

The lateral surface area of the prism.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

Using Pythagoras theorem in the base triangle, we get

25^2=24^2+Base^2

625-576=Base^2

\sqrt{49}=Base

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The perimeter of the triangular base is:

P=7+25+24

P=56

Lateral area of a triangular prism is:

A=Ph

Where, P is the perimeter of the triangular base and h is the height of the prism.

Putting P=56,h=28 in the above formula, we get

A=56(28)

A=1568

Therefore, the lateral area of the prism is 1568 in².

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3 years ago
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Step-by-step explanation:

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