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Step2247 [10]
3 years ago
7

Identify the volume of the hemisphere in terms of π.

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

Answer:

Solution given:

radius [r]= 9cm

volume of hemisphere =2/3 ×(πr³)=2/3×π×9³

=486πcm³ is your answer

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A piece of string is 42 meters long. It is cut into three pieces so that one piece is 15 meters longer than the other two, which
Semmy [17]
To start this problem, we know that one of the three pieces that the string is cut into is 15 meters longer than the others. Subtract 15 from 42 to get 27.
Then, from there, you can cut that number (<em>divide</em>) by three to get the length of the two shorter strings. Simply add the 15 meters you didn't use yet to one of the pieces to find the longer string, and you have your lengths.

Hope this helps!
-refrac532
4 0
3 years ago
If a polynomial function f(x) has roots 1+square root of 2 and-3, what must be a factor of f(x)?
nevsk [136]
To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal tox, and then we are going to factor backwards.

We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal tox and factor backwards:
x=-3
x+3=0
(x+3) is a factor of our polynomial.

We also know that another root of our polynomial is 1+ \sqrt{2}, so lets set 1+ \sqrt{2} equal to x and factor backwards:
x=1+ \sqrt{2}
x-1= \sqrt{2}
x-1- \sqrt{2}=0
(x-(1+ \sqrt{2})=0
((x-(1+ \sqrt{2} )) is a factor of our polynomial.

We can conclude that there is no correct answer in your given choices.
8 0
3 years ago
Sam ran 2
daser333 [38]
In total he ran 19 miles based off of how the question looks. It looks like I needed to add each number up.
5 0
2 years ago
Write the equation of the line in fully simplified slope-intercept form??
Elis [28]

Answer:

y=-2/3x+3

Step-by-step explanation:

(m)slope :rise over run

(b)y-intercept :where the line crosses the y axis

slope intercept for y=mx+b

4 0
3 years ago
What is the dilation for the transformation below?​
lys-0071 [83]

Answer:

The dialation is of 2

Step-by-step explanation:

QR = 3 units

QS = 2 units

RS = 2 units

Q'R' = 6 units

Q'S' = 4 units

R'S' = 4 units

So as you can see, this triangle has doubled it's size, since it has been multiplied by 2.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

4 0
2 years ago
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