Answer:
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is 25
With ∠ 31 degrees as the reference angle,
the adjacent side of the right angle triangle is the unknown side.
the opposite side of the right angle triangle is x.
To determine x, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 31 = x/25
x = 25Sin31
x = 25 × 0.5150
x = 12.875
Answer:

Step-by-step explanation:
we know that
The equation of the circle in center radius form is equal to

where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have

substitute


Answer:
A
Step-by-step explanation:
2 + 12 = 14 = 4 + 10
Least. 0.41, 0.5, 3/5 Greatest
Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.