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babunello [35]
4 years ago
8

I have no clue how to do this............

Mathematics
2 answers:
PIT_PIT [208]4 years ago
6 0
Hey there! :)

The formula for finding volume of a sphere = 4/3 · π · r³

Radius = 1
1³ = 1 × 1 × 1 = 1

π = 3

3 × 1 = 3

3 × 4/3 = 12/3 = 4

The volume is 4 in³

Hope this helps :)
navik [9.2K]4 years ago
4 0
Hello!

As you can see, the volume of the sphere is V=4/3\pir³. If \pi=3, we will plug our numbers into the equation. As you can see, the radius is one.

V=4/3·3·1·³
V=4/3·3·1
V=4/3·3
V=4

I hope this helps!
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Solve the simultaneous equations 2x-y=7 3x+y=3
Debora [2.8K]

Answer:

<h2>( 2 , - 3 )</h2>

Step-by-step explanation:

Using elimination method:

2x - y = 7

3x + y = 3

--------------

5x = 10

Divide both sides of the equation by 5

\frac{5x}{5}  =  \frac{10}{5}

Calculate

x = 2

Now, substitute the given value of X in the equation

3x + y = 3

3 \times 2 + y  = 3

Multiply the numbers

6 + y = 3

Move constant to R.H.S and change it's sign

y = 3 - 6

Calculate

y =  - 3

The possible solution of this system is the ordered pair ( x , y )

<h3>( x , y ) = ( 2 , -3 )</h3>

---------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

2 \times 2 - ( - 3) = 7

3 \times 2 - 3 = 3

Simplify the equalities

7 = 7

3 = 3

Since all of the equalities are true, the ordered pair is the solution of the system

<h3> ( x , y ) = ( 2 , - 3 )</h3>

Hope this helps..

Best regards!!

4 0
3 years ago
Calculate the quotient.
lidiya [134]

A) 3/4 ÷ 5 1/5.

Answer:

\frac{15}{104}

B) 3/7 ÷ 2 1/2.

Answer:

\frac{6}{35}

C) 5/8 ÷ 6 5/6.

Answer:

\frac{15}{164}

D) 8 3/10 ÷ 5/8.

Answer:

13 \frac{7}{25}

5 0
3 years ago
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
Oksana_A [137]
<h2>Hello!</h2>

The answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

7 0
3 years ago
Simplify: 4x3 – 3x2 + x + 3x3
Serhud [2]
Are you asking to simplify all of those equations?

4 0
3 years ago
Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penn
Black_prince [1.1K]

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

8 0
3 years ago
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