What is the exact volume of a sphere with a diameter of 30 in.?

Answers

Answer 1

Answer: V=(4/3)pir^3
d/2=r
30/2=r=15

V=(4/3)pi15^3
V=4/3pi3375
V=4500pi

aprox pi=3.141592
V=14137.164 in^3

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Explain how you know 21/30 is greater than 2/3

Answers

Simple.

to figure out if they are either: equal, greater, or smaller...

First, find a common denominator...

$(21)/(30)$

and

$(2)/(3) * (10)/(10) = (20)/(30)$

Now, we can obviously make the assumption that $(21)/(30)$ is greater than $(20)/(30)$ .

Thus, your answer.

if you do 2 X 10, it's 20.
if you do 3 X 10, it's 30.

so, the fraction would be 20/30, and with the denominators the same, now you can see that 21 is greater than 20.

hopes this helps (:

Ruth's car traveled 120 miles during the first race. During the second race, it traveled 124 miles. If the car averaged 123 miles over the first three races, how far did it travel during the third race?

Answers

EQUATION:
(120+124+x)/3 = 123
244+x = 369
x = 125 miles

A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year. Write and solve an equation to find the number of years it will take for the two clubs to have the same number of members.

Answers

Answer:

7 years

Step-by-step explanation:

Given: A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year

To Find: Write and solve an equation to find the number of years it will take for the two clubs to have the same number of members

Solution:

Total members in chess club= 500

chess club loosing members each year = 30

Number of members in chess club in year $\text{x}$

$500-30\text{x}$

Total members in Computer club= 150

chess club gaining members each year = 20

Number of members in chess club in year $\text{x}$

$150+20\text{x}$

Now,

When chess club and computer club have equal number of members

$500-30\text{x}$ = $150+20\text{x}$

$500-150=30\text{x}+20\text{x}$

$350=50\text{x}$

$\text{x}=7$

So,

It will take 7 years for two clubs to have the same number of members.

Well for this a t-chart type of graph would help but here's how you can do it:

key: ChC = chess club
CmC = computer club

ChC = 500 members ChC = losing 30/yr
CmC = 150 members CmC = gaining 20/yr

year 1 : ChC CmC
members: 470 / 170

or.... you can scrap that, here's the simpler version :
500 - 30x = 150 +20x

solution: x = 7

Hope this helps!

A plane is approaching an aircraft carrier at 25° angle of elevation from 3.2 miles away how far above sea level is the plane

Answers

Answer:

$Height\approx 1.35\ miles$

Step-by-step explanation:

The angle of elevation $=25\textdegree$

It is $3.2\ miles$ away from the point.

If we imagine a right triangle having an angle $25\textdegree$ .

Hypotenuse $=3.2$ , Opposite=Height from sea level $(h)$

$\sin 25=(opposite)/(hypotenuse)\n\n\sin 25=(h)/(3.2)\n\nh=3.2* \sin 25\n\nh=3.2* 0.4226\n\nh=1.3524\approx 1.35\ miles$

Answer:

1.49

Step-by-step explanation:

50 r 3r 20 I need this by tomorrow morning plz!!!!!

Answers

50 + r = 3r + 20
Rearrange on either sides so it is easy to isolate

50 - 20 = 3r - r
30 = 2r

Divide by 2 to isolate r and to find its value

$(30)/(2)$ = $(2r)/(2)$
2 and 2 cancels out

15 = r

Check, if you want :)
50 + (15) = 3(15) + 20
65 = 45 + 20
65 = 65

Simplify 3x – 2y + 6 - 6x + 5y - 8.A)
-2xy
- 2x²y²
-3x - 7y - 2
-3x + 3y - 2

Answers

Answer:

-3x+3y-2

Step-by-step explanation:

3x-6x= =3x

-2y+5y= 3y

6-8= -2

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