Answer:
<h2>50.8°</h2>
Step-by-step explanation:
First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.
2√15² = 2√6² + b²
60 = 24 + b²
Subtract 24
36 = b²
b = 6
Now, that we have all three sides, we will use the law of cosines to figure out the angle.
c² = a² + b² - 2abCosC°
Substitute the values in.
6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°
36 = 60 + 24 - 2(37.947331922)CosC°
36 = 60 + 24 - 75.894663844CosC°
36 = 84 - 75.894663844CosC°
Subtract 84
-48 = -75.9CosC°
0.63241106719 = CosC°
Arccos (0.63241106719) = 50.77176844°
The largest acute angle is approximately 50.8°
Answer: 18 pies, 22 cakes
Step-by-step explanation:
Let the number of pies sold be represented by p.
Let the number of cakes be represented by c.
The information in the question can then be represented in an equation as:
p + c = 40 ........ i
10p + 8c = 356 ....... ii
Multiply equation i by 10
Multiply equation ii by 1
10p + 10c = 400 ....... iii
10p + 8c = 356 ....... iv
Subtract iv from iii
2c = 44
c = 44/2
c = 22
22 cakes were sold
Since 40 items were sold, the number of pies sold will be:
= 40 - 22
= 18 pies
Answer:
5
Step-by-step explanation:
22=4x+2
-2 -2
20/4 = 4x/4
5 = x
x =5
Answer:
Florida has 67 counties, Georgia has 159.
<em>Hope this helps :)</em>
