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ololo11 [35]
3 years ago
9

Round to the nearest tenth

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0
Volume of cylinder = pi*r^2*h
Volume of sphere = 4/3*pi*r^3

Let the radius and height be 2

Cylinder = pi * 2^2 * 2 = 8pi = 25.1
Volume = 4/3 * pi * 2^3 = 32/3pi = 33.5

33.5 / 25.1 = 1.33
32/3 pi / 8 pi = 4/3

Four thirds of the cylinder’s volume is the sphere’s volume
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Evaluate ( b - a )^ - 3<br> c , when a = 4,b = 5 , and c = 2
Mamont248 [21]

Step-by-step explanation:

Solution

( b - a )^ - 3 = ( 5-4 )^ - 3 = ( 1 )^ - 3 = 1

8 0
3 years ago
Solve the following system using substitution. Remember to record your answer as (x, y).
natta225 [31]

Answer:

You already have what you are going to substitute, just put the y values from the first equation into the second! Like this:

6x - 5(-2x - 9) = -19

Multiply it out:

6x +10x +45 = -19

Add like terms + simplify:

16x + 45 = -19

16x = -64

x = -4

take that x and put it back into the first equation!!

y = -2(-4) -9

y= 8-9

y= -1

so... your answer is (-4, -1)

hope this helps!

4 0
3 years ago
An example of consecutive odd integers is 23, 25, 27, and 29. Find four consecutive odd integers with a sum of 160. Show your wo
Andrew [12]
Step1: Define an odd integer.
Define the first odd integer as (2n + 1), for n = 0,1,2, ...,
Note that n is an integer that takes values 0,1,2, and so no.

Step 2: Create four consecutive odd integers.
Multiplying n by 2 guarantees that 2n will be zero or an even number.
Therefore (2n + 1) is guaranteed to be an odd number.
By adding 2 to the odd integer (2n+1), the next number (2n+3) will also be an odd integer.

Let the four consecutive odd integers be
2n+1, 2n +3, 2n +5, 2n +7 

Step 3: require that the four consecutive integers sum to 160.
Because the sum of the four consecutive odd integers is 160, therefore
2n+1 + 2n+3 + 2n+5 + 2n +7 = 160
8n + 16 = 160
8n = 144
n = 18

Because 2n = 36, the four consecutive odd integers are 37, 39, 41, 43.

Answer: 37,39,41,43

8 0
3 years ago
Use the point-slope formula to write an equation of the line that passes through (-5,3) and
trapecia [35]

Answer:

The equation in point slope form is y-6=\frac{1}{3}(x-4)

The equation in slope intercept form is y=\frac{1}{3}x-\frac{14}{3}

Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-5,3),(4,6)

Substitute the values

m=\frac{6-3}{4+5}

m=\frac{3}{9}

simplify

m=\frac{1}{3}

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{1}{3}

(4,6)

substitute

y-6=\frac{1}{3}(x-4) ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

y-6=\frac{1}{3}(x-4) ----> convert to slope intercept form

y-6=\frac{1}{3}x-\frac{4}{3}

y=\frac{1}{3}x-\frac{4}{3}+6

y=\frac{1}{3}x-\frac{14}{3}

5 0
3 years ago
Which completes the work correctly?
matrenka [14]
The correct answer is the last one
3 0
3 years ago
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