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taurus [48]
4 years ago
11

PLEASEEEE HELPPP!!!! The surface area of a sphere is 289(pie) cm (squared). What is the approximate volume of the sphere?? And p

lease tell me how you found the volume! Thank you so much!! :))
Mathematics
1 answer:
Novosadov [1.4K]4 years ago
8 0
A - Area
V - Volume
A = 4piR^2
V = 1.33piR^3

With the info given, 289 = 4piR^2, making R = 4.8
Plug this into the volume formula, and you'll get 1.33*pi*(4.8^3), which equates to 463.3 cubic centimeters.
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There are 70 historical fiction books in the school library. Historical fiction books make up 1/10 of the library's collection.
Gre4nikov [31]

Answer:

There are 700 books in Library Collections.

Step-by-step explanation:

Given:

Number of historical books = 70

The equation used to find the totals number of books in library collection.

\frac{1}{10}b = 70

where b⇒ Total number of books in library collections.

We need to find the Total number of books in library collections.

Solution:

\frac{1}{10}b = 70

Now by solving the above equation we get;

First we will multiply both side by 10 we get;

\frac{1}{10}b \times 10= 70\times 10\\\\b =700

Hence there are 700 books in Library Collections.

6 0
4 years ago
Help please I don’t understand it show work
melomori [17]

Step-by-step explanation:

Here you solve for length width and height, which multiplied equal volume. The only constant you have is that the width of the prism is 1/3 of its length.

WIDTH: 3 centimeters

LENGTH: Since the width is 1/3 of the length, 3 is 1/3 of something. So divide 3 by 1/3 to get 9. You can also just multiply 3 by 3.

HEIGHT: The height is half of the width, which is 3. Therefore 3 divided by 2 is 1.5.

Now multiply the values. 3 multiplied by 9 multiplied by 1.5

The answer is 40.5

CENTIMETERS!!!

DO NOT FORGET THE UNIT

3 0
4 years ago
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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
3 years ago
Match the following pair of angles with their respective definitions.HELP
Andreyy89

Answer:

Step-by-step explanation:

3 and 7 - corresponding

2 and 7 - alt exterior

4 and 5 - alt interior

3 and 6 - alt interior

8 0
3 years ago
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Which graph shows the solution to the system of linear inequalities? y &lt; 2x – 5 y &gt; –3x + 1
Ksenya-84 [330]

Answer:

Where are the graphs

Step-by-step explanation:


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3 years ago
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