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aksik [14]
3 years ago
15

What are the rules of prime factorization?

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0
A Prime Number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1.
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A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.
Vladimir79 [104]

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

3 0
3 years ago
Need help ^^^^^^^^^^
NeX [460]
The answer is B. 2y+3
this is proven by multiplying the divisor of the original question and the solution
(y-5)(2y+3)
  2y^{2}+3y-10y-15
  2y^{2}-7y-15
4 0
3 years ago
Prove that the triangle EDF is isosceles. Give reasons for your answer.
Gekata [30.6K]

Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

\text{External }\angle DFG = 90 +\dfrac{y}{2}

Let us try to find out \angle E and \angle DFE. After that we will compare them.

<u>Finding </u>\angle DFE<u>:</u>

Side EG is a straight line so \angle GFE = 180

\angle GFE is sum of internal \angle DFE and external \angle DFG

\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

It can be clearly seen that:

\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

8 0
3 years ago
Let a=x^2+4. Use a to find the solutions for the following equation:
Helga [31]
(x^2+4)^2 + 32 = 12x^2 + 48 .... a = x^2 + 4 
<span>(x^2 + 4)^2 + 32 = 12(x^2 + 4) </span>
<span>a^2 + 32 = 12a </span>
<span>a^2 - 12a + 32 = 0 </span>
<span>(a - 8)(a - 4) = 0 </span>
<span>a = 8 and a = 4 </span>

<span>for a = 8 ... 8 = x^2 + 4 ... x^2 = 4 ... x = +/- 2 </span>
<span>for a = 4 ... 4 = x^2 + 4 ... x^2 = 0 ... x = 0 </span>

<span>x = -2, 0, +2 so your answer is going to be e

</span>
4 0
3 years ago
Read 2 more answers
The volume of a right circular cone varies jointly as the altitude and the square of the radius of the base. If the volume of th
Basile [38]
The Radius of the base is 63 inches
8 0
3 years ago
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