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dezoksy [38]
2 years ago
13

Find the volume of each sphere. Be sure to include appropriate units. (Show your work)

Mathematics
1 answer:
babunello [35]2 years ago
6 0

Answer:

2145.5m^3

679.2yard

Step-by-step explanation:

v

volume \: of \: a \: sphere =  \frac{4}{3}\pi \: r {}^{3}  \\ when \: r = 8 \\ volume =  \frac{4}{3}  \times  \frac{22}{7}  \times 8 {}^{3}  \\ volume =  \frac{4}{3}  \times  \frac{22}{7} \times 8 \times 8 \times 8 \\ volume =  \frac{4 \times 22 \times 512}{3 \times 7}   \\ volume =  \frac{45056}{21}  \\ volume = 2145.5m {}^{3}  \\  \\ for \: the \: second \: shape \\ volume =  \frac{4}{3}  \times  \frac{22}{7}  \times 5.5 {}^{3}  \\  =  \frac{4}{3}  \times  \frac{22}{7}  \times 166.373 \\  =  \frac{14641}{21}  \\  = 697.2yard

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Se lanza un objeto desde una plataforma.
jasenka [17]

Answer:

6 seconds

Step-by-step explanation:

<u><em>The question in English is</em></u>

An object is thrown from a platform.

Its height (in meters), x seconds after launch, is modeled by:

h(x)=-5x^2+20x+60

How many seconds after the launch does the object reach the ground?

Let

x ----> the time in seconds

h(x) ---> the height of the object

we have

h(x)=-5x^2+20x+60

we know that

When the object hit the ground the height is equal to zero

so

For h(x)=0

we have

-5x^2+20x+60=60

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-5x^2+20x+60=60

so

a=-5\\b=20\\c=60

substitute in the formula

x=\frac{-20\pm\sqrt{20^{2}-4(-5)(60)}} {2(-5)}

x=\frac{-20\pm\sqrt{1,600}} {-10}

x=\frac{-20\pm40} {-10}

x=\frac{-20+40} {-10}=-2

x=\frac{-20-40} {-10}=6

The solution is x=6 sec

The he object reach the ground at x=6 seconds

7 0
3 years ago
On a bike trip across the United States, Ronney notes that he covers about 190 miles every 4 days. If he continues at this rate,
Westkost [7]

Using a ratio table to determine the number of miles that Ronney could bike in 6 days as <u>285 miles</u> is as follows:

<h3>Ratio Table:</h3>

Day                 Miles Biked

Day One            47.5

Day Two           95.0

Day Three       142.5

Day Four         190.0

Day Five         237.5

Day Six          285.0

<h3>What is a ratio table?</h3>

A ratio table is a structured list of equivalent (equal value) ratios that explain the relationship between the ratios and the numbers.

<h3>Data and Calculations:</h3>

Day                 Miles Biked

Day One            47.5 (190/4)

Day Two           95.0 (190/4 x 2)

Day Three       142.5 (190/4 x 3)

Day Four         190.0 (190/4 x 4)

Day Five         237.5 (190/4 x 5)

Day Six           285.0 (190/4 x 6)

Thus, in six days, Ronney biked <u>285 miles</u> based on the ratio table.

Learn more about ratio tables at brainly.com/question/27817533

#SPJ1

4 0
2 years ago
A random variable is ______________ whenever the probability is proportional to the interval’s length
evablogger [386]
A random variable is UNIFORMLY DISTRIBUTED whenever the probability is proportional to the interval's length.
4 0
3 years ago
Do all 6-digit number have 6 addends in their expanded form? Explain
statuscvo [17]
No, when you have a zero in that space you don't necessarily need an addendum unless it helps you.
3 0
3 years ago
Help someone that’s good at math need your help 15 points !
mylen [45]

Answer:

4x-4+3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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