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vichka [17]
3 years ago
14

Please help with this

Mathematics
1 answer:
katrin [286]3 years ago
8 0

Answer:

3rd Option

Step-by-step explanation:

When you find the ratio of the 2 triangles, it is 14/5, so the 2nd option and 4th option are out of the park (The triangles are indeed similar). You are left with options 1 and 3. Option 3 is the best answer as you have to match the vertices of each triangle to each other.

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1. The manager of FrozonAir Refrigerator factory notices that on Monday it cost the company a total of $25,000 to build 30 refri
Vinvika [58]

Answer:

The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

Step-by-step explanation:

Let

Cost per refrigerator (marginal cost) = r

Fixed costs per day for the factory = f

Total cost = variable cost + fixed cost

Monday

25,000 = 30r + f

Tuesday

30,000 = 40r + f

Using Monday,

f = 25000 -30r

Substitute f = 25000 - 30r into Tuesday

30,000 = 40r + f

30,000 = 40r + (25,000 -30r)

30,000 = 40r + 25,000 - 30r

Collect like terms

30,000 - 25,000 = 40r - 30r

5,000 = 10r

Divide both sides by 10

r = 5,000 / 10

= 500

r = $500

Substitute r= 500 into Monday equation

f = 25,000 -30r

= 25,000 - 30(500)

= 25,000 - 15,000

= 10,000

f = $10,000

Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

7 0
3 years ago
Find two consecutive numbers with a product of 121
Crank
One number: x
Its consecutive:  x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
6 0
3 years ago
What is the sum of 2x2 + 6x + 5 and 3x2 – 2x – 1?
Kipish [7]
5x2 + 4x + 4

Hope this helps!!!!!

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3 0
3 years ago
There are two mystery numbers. The sum of 7 times the first number and 5 times the second number is -11. The sum of 10 times the
AlekseyPX
First is 2, second is -5
8 0
3 years ago
What are the dimensions of a box with a volume of 50 cubic inches that had the greatest amount of surface area?
Masteriza [31]
First you find the cube root of 50 b/c v= lwh then you get
50 cubed= 3.684
7 0
3 years ago
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