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Bumek [7]
4 years ago
12

Which set of angles has the same terminal arm as 70 degrees?

Mathematics
1 answer:
AysviL [449]4 years ago
4 0

Answer: B = B ∈ {70° + n*360° I n ∈ Z  } where Z is the set of the integer numbers.

Step-by-step explanation:

If we have an angle A, the other angles that have the same terminal arm than A can be written as:

B = A + n*360°

Here B is a "coterminal" angle to A. (they have the same terminal side)

where n can be any integer number (if n = 0 we have A = B, which is trivial, this means that any angle can be coterminal with itself.)

So we can write the set as:

B = B ∈ {70° + n*360° I n ∈ Z  }

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X + 5y = 28 2x + 3y = 21 Solve for x and y.
snow_tiger [21]
First what we gonna do is solve for y.
x+5y=28 Subtract 5y both sides.
  -5y  -5y
x=-5y+28 Then you have to replace x with the equation.
2(-5y+28)+3y=21 Multiply.
-10y+56+3y=21 Combine like terms and subtract 56 both sides. 
       -56        -56
-7y=-35 Divide -7 both sides.
y=5 Simplify.
x=-5(5)+28 Multiply and add.
x=-25+28
x=3
Heres your answer x=3 and y=5.
6 0
4 years ago
Mikayla is a waitress who makes a guaranteed $50 per day in addition to tips of 20% of all her weekly customer receipts, t. She
notsponge [240]

Answer:

D. f(t)=300+0.20t

Step-by-step explanation:

We have been given that Mikayla is a waitress who makes a guaranteed $50 per day.

Since Miklaya works  6 days per week, so the guaranteed income for one week would be \$50\times 6=\$300  

We are also told that she gets tips of 20% of all her weekly customer receipts, t. So amount earned from tips would be 20% of t, that is \frac{20}{100}t=0.20t.

Total amount earned in one week would be guaranteed income for 1 week plus 20% of t:

300+0.20t

Therefore, our required function is f(t)=300+0.20t and option D is the correct choice.

7 0
3 years ago
Reduce in standard form -3/-15​
andriy [413]

Answer:

1/5? 0.2?

Step-by-step explanation:

5 0
3 years ago
Lisa makes 35 dollars per month babysitting . She spends 25% of what she earns on entertainment. How much does she spend on ente
Musya8 [376]

Answer:8.75$

Step-by-step explanation:hope this helps :)

4 0
3 years ago
Read 2 more answers
A flower shop acquired 80 new customers last year. Costs in the marketing and sales areas were the following:
icang [17]

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.

80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:

97200/80 = $1,215.

More can be learned about proportions at brainly.com/question/24372153

5 0
2 years ago
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