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stepladder [879]
3 years ago
10

The figure is made up of a cone and a cylinder.

Mathematics
1 answer:
professor190 [17]3 years ago
4 0

Answer:

38 mm³  

Step-by-step explanation:

Calculate the volume of the cylinder and of the cone separately.

1. Volume of cylinder

The formula for the volume V of a cylinder is

V = πr²h

Data:

D = 4 mm

h = 2 mm

Calculations:

a. Calculate the radius

D = 2r

r = D/2 = 4/2 = 2 mm

b. Calculate the volume

V = 3.14 × 2² × 2 = 25.12 mm³

2. Volume of cone

The volume for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓ × 3.14 × 2² × 3

V = 18.85 mm³

3. Calculate the total volume

V = 25.12 mm³ + 12.57 mm³ = 38 mm³

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Jeannie got a new pair of eye glasses. She was able to pay $15 at the time
Lisa [10]

Answer:

6 months, i used the equation from part a so i know it’s right

Step-by-step explanation:

a) 15 + 12x = 87

b) 12x = 87-15=72

72/12 = 6

3 0
3 years ago
Read 2 more answers
The equation y−5=−2(x−3) is in point-slope form. Which shows this equation in slope-intercept form?
MAXImum [283]

y - 5 = -2(x - 3)

Distribute -2.


y - 5 = -2x + 6

Add 5 to both sides.


y = -2x + 11

B) y = -2x + 11

4 0
3 years ago
Reduce 36/45 to lowest terms and write the denominator in the blank.
Firlakuza [10]

Answer:

4/5

Step-by-step explanation:

Step 1:

36/45 = 12/15

Step 2:

12/15 = 4/5

Answer:

4/5

Hope This Helps :)

5 0
3 years ago
Read 2 more answers
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
3 years ago
A path 2.5m wide is running outside a square field whose side is 45m. Determine the area of the path.
aliya0001 [1]

Answer:

The area of the path would be 231.25 squared meters.

Step-by-step explanation:

Consider the path as 45m (the field's area), then add 2.5m to all of the sides. You'll get 47.5m on all sides. Then you do 47.5² to get 2256.25 squared meters. After that, you'll remove the area of the squared field. To do this, do 45m². By doing this, you'll get 2025 squared meters. Lastly, to finish up the question, do 2256.25 - 2025. This would get you 31.25 squared meters, the answer.

4 0
3 years ago
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