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butalik [34]
3 years ago
11

55. A triangle has two angles measuring 46 and 14. Determine the measure of the third angle.

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer:

1. 180-(46+14)=120

2.46+14+120=180

Step-by-step explanation:

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A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $400
NemiM [27]

Answer: 13 years.

Step-by-step explanation:

The price decreases by 14% anually

To find the decimal form, you have 14%/100% = 0.14

So, the year zero, the price is $27,500

After one year, the price is:

P = $27,500 - 0.14*$27500 = $27,500*(0.86)

After the second year, the price is:

P = $27,500*(0.86)^2

and so on, so we want to find x such that:

P = $27,500*(0.86)^x = $4000

0.86^x = $4000/$27,500

Now, using the natural logaritm rule:

a^x = b

x = ln(a)/ln(b)

x = ln($4000/$27,500)/ln(0.86) = 12.8

We can round it up to 13, so after 13 years the price of the car is about $4000

7 0
3 years ago
Can anyone answer this question with showing work <br> 532.6 • 8.53
MAVERICK [17]

The answer is: 4543.078

7 0
3 years ago
Suppose that a factory manufactures only tables and chairs and that the profit on one chair is $15 and on the table is $20. Each
Leya [2.2K]

Answer:

The data we have is:

Profit per chair = $15

Profit per table = $20

Chair needs: 1 large pice, 2 small pieces.

Table needs: 2 large pieces, 2 small pieces.

You have 6 large pieces and 8 small pieces, and you want to maximize the profit.

Let's define:

T = # of tables

C = # of chairs.

Total profit:

P = C*$15 + M*$20

The number of chairs that you can make is given by:

0 ≤ C ≤ 4

If you make 4 chairs, the profit is:

P = 4*$15 = $60

And there will be 2 large pieces left.

Now for the tables.

0 ≤ T ≤ 3

If you make 4 tables, the profit will be:

P = 3*$20 = $60 (same as before)

And there will be two small pieces left.

Then we want to use a medium number of tables and chairs, we can not use the maximum for any of those, the first thing we should try is:

we ideally would want to use all the pieces that we have.

8 small, 6 large:

Then we can make:

2 tables: we use 4 large pieces and 4 small pieces.

T = 2

And we have left 2 large pieces and 4 small pieces.

The leftover is enough to make two chairs.

C = 2.

In this case, where we used all our materials, the profit will be:

P = 2*$15 + 2*$20 = $30 + $40 = $70

The profit is maximized when we make 2 tables and two chairs.

5 0
3 years ago
What is the slope of the line on the graph?<br><br> Enter your answer in the box.
Olenka [21]

Look at points (0, -1) and (1, 5).

m = (y2 - y1)/(x2 - x1) = (5 - (-1))/(1 - 0) = 6/1 = 6

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Answer: 6

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3 years ago
What does 5 gallons equal ___ Quarts
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20 quarts = 5 gallons
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3 years ago
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