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alexira [117]
4 years ago
14

A positive number is 30 less than its square. Find the number.

Mathematics
1 answer:
Veronika [31]4 years ago
8 0
<span><span>x = x^2 - 30

or

x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0

x = +6 is the positive number</span></span>
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A ball of radius 11 has a round hole of radius 5
inn [45]

Answer:

3,847.40376

Step-by-step explanation:

Volume of a sphere=

4/3π(11)³=5,575.27976

Volume of a cylinder=

π(5)²(22)=1,727.876

Total volume=

5,575.27976-1,727.876=3,847.40376

3 0
4 years ago
What is the greatest common factor of 7 and 21
forsale [732]

Answer:

7

Step-by-step explanation: calculate the prime factors of 7 and 21, than find the greatest common factor

3 0
3 years ago
Read 2 more answers
The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?
victus00 [196]

Answer:

\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}

Step-by-step explanation:

The formula of a surface area of a ball (sphere):

S.A.=\dfrac{4}{3}\pi R^3

R - radius

We have R = 15in. Substitute:

S.A.=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3375)=4500\pi\ in^2

If you want to get an approximation, then:

\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2

5 0
3 years ago
Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|
mr Goodwill [35]
I think it is 4,4 because when i graphed it turned out like that al 7 are

-2,2
-1,1
0,0
1,1
2,2
3,3
4,4

this is what i got i might be wrong because it might not be what you meant but i interpreted this way so i did it this way
4 0
3 years ago
Read 2 more answers
Help on this please.
mote1985 [20]

Answer:

x = 11

Step-by-step explanation:

A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.

The circumference is equidistant from the vertices of the triangle:

Equidistant = At equal distances.

The vertices in the picture are: A, B, C

The circumcenter is: P

So, we can apply the rule: PA = PB = PC

PA = 38

PB = 6x - 28

PC = ?

And since the picture labels PA and PB, we set up the equation:

PA = PB = PC

38 = 6x - 28

Add 28 to both sides

38 + 28 = 6x - 28 + 28

66 = 6x

Divide 6 on both sides

66/6 = 6x/6

Simplify

11 = x

Flip the equation

x = 11

4 0
2 years ago
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