Answer:
It is B the right triangle altitude theorem
Step-by-step explanation:
edg. 2021
Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so

we have
----> scale factor
substitute



therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter

the volume of the reduced sphere is
---> the radius is half the diameter

Divide the volumes

1. To solve this exercise, you must make a system of equations.
2. You have that f<span>our times a number minus twice another number is -8:
</span>
4x-2y=-8
3. And t<span>he sum of the two number is 19:
</span>
x+y=19
4. As you can see, you have two equations:
4x-2y=-8 (i)
x+y=19 (ii)
5. Let's clear the "x" from the equation (ii):
x=19-y
6. Now, you need to susbtitute x=19-y into the equation (i):
4x-2y=-8
4(19-y)-2y=-8
76-4y-2y=-8
76-6y=-8
-6y=-8-76
-6y=-84
y=-84/-6
y=14
7. You must susbstitute y=14 into the equation (ii) and clear "x":
x+y=19
x+14=19
x=19-14
x=5
The answer is: 5 and 14
The sum of the 3 inside angles of a triangle need to equal 180.
Y = 180 - 90 - 48 = 42 degrees.
See attached picture:
11 more than five of a certain number would be written as 5x+11 and it is (means equal to) twenty more than two times that number, which would be 2x+20. So the equation would be
5x+11=2x+20
-2x -2x (get the x's on one side)
3x+11=20
-11 -11 (get the numbers on one side)
3x=9
/3 /3 (divide by 3, so you can get the x by itself)
X=3 (the number is 3)