Answer:
68
Step-by-step explanation:
For angle A, 3 is the adjacent leg. 8 is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
We know the cosine of angle A equals 0.375. We take the inverse cosine of 0.375 to find the measure of the angle.
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Answer:
3
Step-by-step explanation:
To simplify this expression, we will simply work with the numerator, then the denominator, and then the fraction as a whole, following PEMDAS.
Numerator: 12 - 6 + 5 * (-3)^2
= 12 - 6 + 5 * (9)
= 12 - 6 + 45
= 6 + 45
= 51
Denominator: 17
So our simplified fraction is as follows:
51/17
Which can be reduced to the whole number, 3.
Cheers.
