Answer:
The acute interior angles of a right triangle are complementary.
Step-by-step explanation:
that if an acute angle and the obtuse angle is added, its sum is 180 degrees. ⟹ (5θ + 4°) + (θ – 2°) + (3θ + 7°) = 180°. A supplementary angle can be composed of one a cute angle and another obtuse angle. Thanks 0. y = 180 -x. range of x = [1º 89º] then range of y is [91º 179º] so this proves that always the supplementary to acute angle is always obtuse.
I hope this helped have a good rest of your day
Answer:
(a) How many grams of copper are in the resulting mixture?
= 160 grams
(b) What percentage of the resulting mixture is copper?
= 61.5%
Step-by-step explanation:
(a) How many grams of copper are in the resulting mixture?
From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams
(b) What percentage of the resulting mixture is copper?
70 grams of an alloy that contains 12% copper = 70 × 12%
= 70 grams × 0.12
= 8.4 grams
The number of grams of copper in the resulting mixture = 160 grams
The percentage of the resulting mixture that is copper is
=( 8.4 grams + 90 grams of pure copper/160) × 100
= 98.4/160 × 100
= 61.5%
Answer:
5.54 feet.
Step-by-step explanation:
Let h be the height of the pool and r be the radius of the pool.
We have been given that volume of cylindrical pool in Sunny Days Apartment building is 1200 cubic feet.
We have been given that the radius of the pool is 1.5 times its height. We can represent this information in an equation as:
Substituting equation (1) in volume formula we will get,
Substituting the given volume of pool in formula we will get,
Let us divide both sides of our equation by 2.25 pi.
Let us take cube root of both sides of our equation.
Therefore, the height of the pool is approximately 5.54 feet.
i believe the answer is A ^^