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alisha [4.7K]
2 years ago
7

Find the hypotenuse, , of the triangle

Mathematics
1 answer:
Irina18 [472]2 years ago
5 0

Answer:

hypoténuse =  15  in

b ² = 15² - 9²

b ² = 144

b = √144 = 12

Perimeter =  15 + 9 + 12 = 36 inches

Step-by-step explanation:

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Dovator [93]
The answer would be B
8 0
3 years ago
You are asked to recommend whether a firm should make or purchase product A. The following are data concerning the two options.
MArishka [77]

Answer:

a. 6000 units

b. The firm should make the product

2. $ 184200

3. $ 197500

Step-by-step explanation:

a. When is someone indifferent towards buying something? In this case when the cost in dollars is the same. The Break Even Point <u><em>(BEP)</em></u>  makes sense when the firm is indifferent between purchasing it or manufacturing it because the cost of either one or the other is the same. We know the cost of purchasing it ($25 per unit), now we would have to know the cost of producing it with the given data.

Cost of production = Fixed cost + Variable cost

Fixed cost = Rental + labor

Fixed cost = 39200 + ( 5 Operator * 5 days * 8 hours * $14 per hour)

Fixed cost = 39200 + 2800

Fixed cost = 42000

Variable cost =  $18 u                u (units)

Cost of production = 42000 + 18u

When does this cost of production is equal to the cost of purchase?

when

Cost of production = Cost of purchase

42000- 18u = 25u

42000 = 25u - 18 u

42000 = 7u

u = 42000/7

u= 6000

b. The firm should make the product because the cost would be cheaper than purchasing it. It costs 184200 dollars to produce 7900 units vs 197500 dollars when buying them.

2. The cost of production is

Cost of production = 42000 + 18u

Cost of production = 42000 + 18(7900)

Cost of production = 42000 + 142200

Cost of production = 184200

3. The cost of purchase is

Cost of purchase = 25u

Cost of purchase = 25(7900)

Cost of purchase = 197500

 

3 0
3 years ago
A sandbox has a volume of 330 cubic feet of sand. If the sandbox is 3 feet tall, and 10 feet wide, what is the length of the san
Digiron [165]

Answer:

We are given that the total volume of the sandbox is 330 cubic feet.
We are given the side measurements of 3 feet tall and 10 feet wide.
3 x 10 = 30 sq2

V(volume)= 330 ft3

330 ft3 divided by 30 sq2 = 11ft

In conclusion, the length of the box would be:
= 11 ft



Step-by-step explanation:

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6 0
2 years ago
DESPERATE WILL GIVE BRAILIST AND THNX
ZanzabumX [31]

Answer:

y=5x+42

subtract 5x from both sides

-5x+y=42

Step-by-step explanation:

subtract 5x from both sides

-5x+y=42

multiply by -1

5x-y=-42

In standard form, Ax+By=C, the variable A cannot be a negative. However, this is not an option so go with c.

7 0
3 years ago
megan hughes deposits 2100 in an account that pays simple interest. when she withdraws her money 11 months later, she receives $
USPshnik [31]

Answer:

The rate at which the account pay the deposit is 2 %

Step-by-step explanation:

Given as :

The principal amount deposited in account = $2100

The rate of interest = r % simple interest annually

The time period = 11 months = \frac{11}{12} year

The amount received = $2138.50

Now<u>, From Simple Interest method </u>

Simple Interest = \dfrac{\textrm Principal\times \textrm rate\times \textrm time}{100}

Or, Interest = \dfrac{2100\times r\times \frac{11}{12}}{100}

Or, Interest = \frac{21\times r\times 11}{12}

Or, Interest = 19.25 r

Now, Interest = Amount - Principal

So, 19.25 r = $2138.50 - $2100

Or, 19.25 r = $38.5

∴ r = \frac{38.5}{19.25}

I.e r = 2

So, rate of interest = r = 2 %

Hence The rate at which the account pay the deposit is 2 % Answer

8 0
3 years ago
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