MATHEMATICS HIGH SCHOOL

A metal sphere of radius 9 is melted and transformed into three identical spheres. What are the radii of these spheres?

Answers

Answer 1
Answer:

Radius of identical spheres = 6.24

Step-by-step explanation:

Here volume remains constant.

Volume of big sphere = Volume of 3 identical small spheres.

Let r be the radius of small sphere,

We have

                   (4)/(3)\pi * 9^3=3* (4)/(3)\pi * r^3\n\n3r^3=9^3\n\nr^3=243\n\nr=6.24

Radius of identical spheres = 6.24

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What is 30:12 simplified

Answers

30:12
The Highest common factor is 6;
Dividing both terms by 6
5:2

Solve the quadratic function by completing the square. What are the missing pieces in the steps?–32 = 2(x2 + 10x)
–32 + _____ = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± _____ = x + 5
x = –2 or x = ____

_____=missing pieces

Answers

If you would like to solve the quadratic function by completing the square, you can do this using the following steps:

- 32 = 2(x^2 + 10x)
- 32 + 50 = 2(x^2 + 10x + 25)
18 = 2(x + 5)^2
9 = (x + 5)^2
± sqrt(9) = x + 5
± 3 = x + 5
x = - 2 or x = - 8

The steps used in completing the square of the given quadratic equation have been detailed below.

How to complete the square of quadratic Equations?

The first step given is;

- 32 = 2(x² + 10x)

The next step is to add a square of half the coefficient of x. Which in this case is 50 to both sides.

Second step is;

-32 + 50 = 2(x² + 10x + 25)

Third step is to further simplify the left and favtorize the right to get;

18 = 2(x + 5)²

9 = (x + 5)²

Fourth step is to take square root of both sides to get;

±√9 = x + 5

±3 = x + 5

Thus;

x = - 2 or x = - 8

Read more about completing the square at; brainly.com/question/10449635

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Values used with a function are called

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Values used with a function are called arguments. An argument in terms of logic and philosophy, it is the series of statements that are being used for such purpose and function. It is typically used to persuade someone to a different perspective of looking.

a. Find the value of each variable to the nearest tenth. B. Find the perimeter of the triangle to the nearest tenth. 1.A = 30.0, c = 36.6, perimeter = 87.6 2. a = 17.2, c = 36.6, perimeter = 74.8 3. a = 36.6, c = 17.2, perimeter = 74.8 4. a = 36.6, c = 30.0, perimeter = 87.6

Answers

Answer:

a = 30.0, c = 36.6, perimeter = 87.6 - this is what I got for my answer so I hope this helps

Answer:

your answer is A

Step-by-step explanation:

Gradpoint

Convert 123cg to kg?

Answers

Just add two zeros to the front to make it kg .00123

Find the equation of the line that passes through the point (7,5) and is perpendicular to the line 2x - 3y=6

Answers

(7,5);\ \ \ \ 2x - 3y=6 \ \ / subtract \ 2x \ from \ each \ side \n \n-3y = -2x + 6\ \ / divide \ each \term \ by \ (-3) \n \n y = \frac{2} {3}x -2\n \n The \ slope \ is :m _(1) = ( 2)/(3) \n \n If \ m_(1) \ and \ m _(2) \ are \ the \ gradients \ of \ two \ perpendicular \n \n lines \ we \ have \n\n\ m _(1)*m _(2) = -1

(2)/(3)\cdot m_(2)=-1\ \ / \cdot ((3)/(2))\n\nm_(2)=-(3)/(2)\n\nNow \ your \ equation \ of \ line \ passing \ through \ (7,5) would \ be: \n \n y=m_(2)x+b \n \n5=-(3)/(2)\cdot 7 + b \n \n 5= -(21)/(2)+b\n \nb=5+(21)/(2) \n \nb= (10)/(2)+(21)/(2)\n \nb= (31)/(2)\n\nb=15.5 \n \n y = -(3)/(2)x +15.5
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