Answer:
= 1.75
Step-by-step explanation:
7/6 divided by 6
= 7/36
7/36 = x/9
Cross multiply fractions:
36x = 63
Divide each side by 36:
x = 7/4 or 1.75
Answer:
8 feet tall
Step-by-step explanation:
Divide 816 by 102 to get 8 feet.
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = × 60 = 3 × 12 = 36
Answer:
a=2
Step-by-step explanation:
w(1)=2|1|=2
Correct question is;
The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?
Answer:
sinθ = (√544)/25) and cosθ = 9/25
Step-by-step explanation:
We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;
(9/25)² + y² = 1²
y² = 1 - (9/25)²
y² = (625 - 81)/25²
y² = 544/25²
y = ±(√544)/25
We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.
Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]
In unit circle geometry, cosθ = x, while sinθ = y.
Thus; sinθ = (√544)/25) and cosθ = 9/25