Answer:
csc theta = 5/4
Step-by-step explanation:
cos theta = 3/5
cos theta = adjacent side/ hypotenuse
Let adjacent side = 3 and the hypotenuse = 5
csc theta = hypotenuse/ opposite side
We need to find the opposite side
We know that this is a right triangle, so we can use the Pythagorean theorem
(adj)^2 + (opp)^2 = (hyp)^2
3^2 + (opp)^2 = 5^2
9+ (opp)^2 = 25
Subtract 9 from each side
9-9+ (opp)^2 = 25-9
(opp)^2 = 16
Take the square root of each side
sqrt( (opp)^2) = sqrt(16)
opp = 4
csc theta = hypotenuse/ opposite side = 5/4
Answer:
(8, 2 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 16 → (1)
- x + 3y = - 2 → (2)
Adding the 2 equations term by term will eliminate the x- term
0 + 7y = 14
7y = 14 ( divide both sides by 7 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (1)
x + 4(2) = 16
x + 8 = 16 ( subtract 8 from both sides )
x = 8
solution is (8, 2 )
X=90-54=36 (90 because it is right angle and it is given)
bod=180-156=24 (supplementary angles)
bod=aoc=24 (vertical angles)
cod=180 (straight angle)
cod=aoc+y+fog+2y=180
24+y+90+2y=180
3y=180-90-24
3y=66 (divide by 3)
y=66/3=22
y=22
so x=36 and y=22
Answer:
The volume of the rubber ball when the radius equals five-sevenths feet