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Eva8 [605]
3 years ago
6

What is the answer to this problem?

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0
Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3

we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)
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Find the measure of each exterior angle of the regular polygon.
Aleks [24]

Answer:

  • 30°

Step-by-step explanation:

  • <em>Sum of exterior angles of the regular polygon is 360°</em>

The pictured is 12-gon

<u>Each exterior angle measures:</u>

  • 360°/12 = 30°
4 0
3 years ago
Read 2 more answers
Find the equation of the median shown:
qwelly [4]

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of  this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

6

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

8 0
3 years ago
[ 18 x ( 3 - 2 ) ] divided by 1 + 5
Svetlanka [38]

Answer:

3

Step-by-step explanation:

3-2= 1

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18/6=3

7 0
3 years ago
Read 2 more answers
Can anyone help me with #3 on this please
spayn [35]

Answer:

So I can't actually do this at the moment but I'll try to explain what to do

first find the area of the rectangle (12x16)

then, the confusing part, pretend the semicircle is a full circle and find the area and divide by 2

add the two up and put cm^{2} and that should be it

7 0
3 years ago
A rectangle has an area of 4 square centimeters. A second rectangle is 3 times as long and 3 times as wide as the first rectangl
vekshin1

Answer:

The area of the second rectangle will be 36 square centimetres

Step-by-step explanation:

Given:

Area of the first rectangle  =  4 square centimetres

A second rectangle is 3 times as long and 3 times as wide as the first rectangle

To Find:

Area of the second rectangle = ?

Solution:

We know that area of the rectangle is  Length X breadth

Length X width = 4

In this case the are 2 possibilities

Case 1:

Length = 2 cm

Width  = 2 cm

2 X 2 = 4

Now According to the question

Length is 3 times  = 2 X 3 = 6cm

width is also 3 times  = 2 X 3 = 6 cm

Now the area of the second rectangle will be

6 X  6 = 36 square centimetres

Case 2:

Length = 4 cm

Width  = 1 cm

4 X 1 = 4

Now According to the question

Length is 3 times  = 4 X 3 = 12 cm

width is also 3 times  = 1 X 3 =3 cm

Now the area of the second rectangle will be

12 X  3 = 36 square centimetres

5 0
3 years ago
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