Answer:
5.545
Step-by-step explanation:
This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
in this case, the formula can be applied in the following way
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Where
a,b,c are each of the sides of the triangle,
α is the angle between sides b and c
(See attached picture)
If we use the formula we get
a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)
a^2 = 81 + 36 - 86.2526
a^2 = 30.747
a = sqrt(30.747)
a = 5.545
Answer:
$555.51
Step-by-step explanation:
511.99 + 8.5%(43.52) = 555.51
So basically you just need to do the Pythagorean theorem to find the sides of the shaded rectangle, with c being the length of the side.
Small side:
2^2 + 6^2 = c^2
4 + 36 = c^2
40 = c^2
C is similar to 6.32456
Long side:
12^2 + 4^2 = c^2
144 + 16 = c^2
160=c^2
C is similar to 12.64911
And then you just multiply!
<u>Answer:</u>
The ratio of African Americans to Hispanics Americans present is 16 : 5
<u>Explanation:</u>
Given the people attending the soccer game were:
2800 among them are Caucasians
4800 are African Americans
1500 are Hispanics
And, 1400 of those were from other ethnic backgrounds
We have to find the Ratio of African Americans to Hispanics Americans
Therefore,
African Americans : Hispanics Americans = 4800 : 1500
Hence, the ratio of African Americans to Hispanics Americans present in the ratio were 16 : 5
You mean 5 points
the answer is 6.
