Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
Answer:
cos(71)
Step-by-step explanation:
Since 19° is less than 90, we can express this in terms of confunction.
sin(θ) = cos(90-θ)
sin(19) = cos(90-19)
sin(19) = cos(71)
Answer:

Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:





Therefore, the length of the opposite side is about 7.8 units
If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.
The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.
The equation you want to set up is
0.5x+7=18
Where, 18-7=11
0.5x=11
11/.5 = x
x = $22
Thus, Mary has a weekly allowance of 22 dollars.
Answer:
B. 264π units³
Step-by-step explanation:
Volume of the cone = ⅓πr²h
Where,
r = 6
h = 22
Plug in the values
Volume = ⅓×π×6²×22
Volume = ⅓×π×36×22
Volume = 264π units³