12) 2b+8a
13) 17y^2-22y
14) 9m^2n+7mn^2
15) 11y^2
16) 8x^2y
The formula of an arithmetic sequence is the following :
A geometric sequence is in the form:
Hello!
<h2>
31.3° and 58.7°</h2><h2>
</h2>
To solve, we can set up an algebraic expression.
Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:
∠1 = x
∠2 = x + 27.4°
∠1 + ∠2 = 90°
x + (x + 27.4°) = 90°
Combine like terms:
2x + 27.4° = 90°
Subtract 27.4 from both sides:
2x = 62.6°
Divide both sides by 2:
x = 31.3°
Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:
(31.3°) + 27.4° = 58.7°
Answer:
32 mph
Step-by-step explanation:
We want to find the patrolman's rate in miles per hour during the shift. Since we want to find miles per hour, we must divide the miles he drove by the number of hours.
rate = miles / hours
He drove 272 miles.
rate = 272 miles / hours
He drove for 8 hours and 30 minutes. There are 60 minutes in 1 hour. One half of 60 is 30. Therefore, we can also say he drove eight and a half, or 8.5 hours.
rate= 272 miles / 8.5 hours
rate = 32 miles / hour
rate= 32 mph
His average rate during the shift was 32 miles per hour.
Well if you want to simplify you can do it to ways
1 leave it how it is because you cant simplify anymore
or
2 turn it into a mixed number
first see how many times you can fit 8 into 27
8*2=16 8*3=24 8*4=32
so it is 3 times
and you have 3 left over so that goes over 8 and your simplification is 3 3/8
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