To answer the question we proceed as follows:
suppose a cone has a height x units and radius x units
volume will be:
v=1/3πr²h
V=1/3πx³ cubic units
when we add 1 unit to the radius and subtract 1 unit from the height the volume will be:
v=1/3π(x+1)²(x-1)
v=1/3π(x³+x²-x-1) cubic units
comparing the above values for volume we conclude that the volume will not be the same. This means the volume won't stay the same after changes.
The angle subtended by a diameter is always right. That's Thales' Theorem, one of the first in geometry. We conclude y=90°.
The angle subtended by an arc is half the arc length, so z=50°.
The angles in a triangle add to 180°, so x = 180° - y - z = 40°.
Answer: x=40°, y=90°, z=50°
Answer:
91m + 13n + 52
Step-by-step explanation:
13(n + 4 + 7m)
= (13) (n+4+7m)
= (13) (n) + (13) (4) + (13) (7m)
= 13n + 52 + 91m
= 91m + 13n + 52
hope this helps and is right :)
p.s. i really need brainliest
Answer:
4.) 10^2 + 24^2
Step-by-step explanation:
From the attached diagram, the area of a square A is given by the measure of the square of its hypotenus :
The hypotenus is given by :
Hypotenus² = opposite² + Adjacent²
Hypotenus² = 10² + 24²
The square of hypotenus = 10^2 + 24^2
3x+3y=-3
divide both sides by 3 for ease
x+y=-1
now eliminate x's
multiply that equation by 2 and add to other one
2x+2y=-2
<u>-2x+y=2 +</u>
0x+3y=0
3y=0
y=0
x+y=-1
x+0=-1
x=-1
(x,y)
(-1,0)
