Answer:
sphere volume = 3052.1 in³
Step-by-step explanation:
sphere volume = 4/3πr³ = 4/3(3.14)(9³) = 3052.1 in³
Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
You just have to divide the decimals
Answer:
There will be 26 centimeters of pipe left.
Step-by-step explanation:
1 meter = 100 centimeter
Two 37 centimeter pipes = Total of 74 centimeters used
100 - 74 = 26 centimeters of pipe left
The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:

× 9x
Write -6x as a difference.

× 9x
Factor out x from x² + 2x.

× 9x
Factor out -8 from -8(x + 2).

× 9x
Factor out x + 2 from the denominator (bottom) of the expression.

× 9x
Reduce the fraction with x + 2

× 9x
Finally,, calculate the product to find your final answer.

This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)