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4 years ago

What is the volume of a sphere that has a 12m diameter?

1 answer:

5 0

Volume of Sphere = (4/3)*(pi)*(r^3)

r = (D/2) = 6 m

  =<span>(4/3)*(pi)*((6^3)

  = 904.7786.. m^3
I hope this helps.</span>

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Please solve with steps.

Kitty [74]

Answer: a) h = 2

b) a = $-\dfrac{3}{4}$ k = $\bold{3\dfrac{1}{2}}$

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k where

a is the vertical stretch
(h, k) is the vertex

The graph shows the axis of symmetry at x = 2, therefore, the x-coordinate of the vertex (h) is 2.

Two points are given: $\bigg(0, \dfrac{1}{2}\bigg)\ and\ \bigg(3, 2 \dfrac{3}{4}\bigg)$ . We can use these points to create two equations and then solve the system to find the a and k-values.

y = a(x - 2)² + k

$\bigg(0, \dfrac{1}{2}\bigg)\\\rightarrow \dfrac{1}{2}=a(0-2)^2+k\\\\\rightarrow \dfrac{1}{2}=4a+k\\\\\rightarrow \dfrac{1}{2}-4a=k\\\\\\\bigg(3, 2\dfrac{3}{4}\bigg)\\\rightarrow 2\dfrac{3}{4}=a(3-2)^2+k\\\\\rightarrow 2\dfrac{3}{4}=a+k\\\\\rightarrow 2\dfrac{3}{4}-a=k\\\\\\\\\dfrac{1}{2}-4a=2\dfrac{3}{4}-a\\\\\dfrac{1}{2}-2\dfrac{3}{4}=4a-a\\\\\dfrac{2}{4}-\dfrac{11}{4}=3a\\\\-\dfrac{9}{4}=3a\\\\-\dfrac{9}{4\cdot 3}=\dfrac{3a}{3}\\\\ \bold{-\dfrac{3}{4}=a}$

Solve for k:

$2\dfrac{3}{4}-a=k\\\\\\2\dfrac{3}{4}-\bigg(-\dfrac{3}{4}\bigg)=k\\\\\\\bold{3\dfrac{1}{2}=k}$

5 0

3 years ago

91/2 gallons =? quarts

jenyasd209 [6]

the answer is 3648 quarts

5 0

3 years ago

Please answer right I will give you brainliest :)

Ulleksa [173]

Answer:

B: (1,15)

Step-by-step explanation:

The points on the graph increase by 1 for the x-coordinates, and 15 for the y-coordinates.

3 0

3 years ago

Read 2 more answers

Find the LCM of 6 and 5.

ki77a [65]

Answer:

Step-by-step explanation:

6 = 2 * 3

5 = 5

There are no common factors so the LCM = 2*3*5 = 30

7 0

4 years ago

Read 2 more answers

Using the side-splitter theorem, which segment length would complete the proportion? startfraction g h over h e endfraction = st

iren2701 [21]

The ratio of gh over he is equal to the ratio of gj over jf. Then the correct option is C.

<h3>What is the triangle?</h3>

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

We know that the side-splitter theorem states that two triangles are similar if their corresponding angle is equal and the ratio of the corresponding will be the same.

$\rm \dfrac{gh}{he} = \dfrac{gj}{jh}$

More about the triangle link is given below.

brainly.com/question/25813512

7 0

3 years ago