All categories

3 years ago

Write a real life scenario that could be represented by this equation:

Mathematics

1 answer:

Vsevolod [243]3 years ago

3 0

Answer:

You can use it to graph something on a piece of paper or solve an environmental problem or you can use it to multiply apple slices in a recipe of apple pie.

You might be interested in

I need to find the surface area and volume of all three figures. If you could provide what equations you used to I will be grate

Margarita [4]

Answer:

Part 1) Sphere The surface area is equal to $SA=196\pi\ m^{2}$ and the volume is equal to $V=\frac{1,372}{3}\pi\ m^{3}$

Part 2) Cone The surface area is equal to $SA=(16+4\sqrt{65})\pi\ units^{2}$ and the volume is equal to $V=\frac{112}{3}\pi\ units^{3}$

Part 3) Triangular Prism The surface area is equal to $SA=51.57\ mm^{2}$ and the volume is equal to $V=17.388\ mm^{3}$

Step-by-step explanation:

Part 1) The figure is a sphere

a) Find the surface area

The surface area of the sphere is equal to

$SA=4\pi r^{2}$

we have

$r=14/2=7\ m$ ----> the radius is half the diameter

substitute

$SA=4\pi (7)^{2}$

$SA=196\pi\ m^{2}$

b) Find the volume

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=14/2=7\ m$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (7)^{3}$

$V=\frac{1,372}{3}\pi\ m^{3}$

Part 2) The figure is a cone

a) Find the surface area

The surface area of a cone is equal to

$SA=\pi r^{2} +\pi rl$

we have

$r=4\ units$

$h=7\ units$

Applying Pythagoras Theorem find the value of l (slant height)

$l^{2}=r^{2} +h^{2}$

substitute the values

$l^{2}=4^{2} +7^{2}$

$l^{2}=65$

$l=\sqrt{65}\ units$

$SA=\pi (4)^{2} +\pi (4)(\sqrt{65})$

$SA=16\pi +4\sqrt{65}\pi$

$SA=(16+4\sqrt{65})\pi\ units^{2}$

b) Find the volume

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=4\ units$

$h=7\ units$

substitute

$V=\frac{1}{3}\pi (4)^{2}(7)$

$V=\frac{112}{3}\pi\ units^{3}$

Part 3) The figure is a triangular prism

a) The surface area of the triangular prism is equal to

$SA=2B+PL$

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the prism

Find the area of the base B

$B=\frac{1}{2} (2.7)(2.3)=3.105\ mm^{2}$

Find the perimeter of the base P

$P=2.7*3=8.1\ mm$

we have

$L=5.6\ mm$

substitute the values

$SA=2(3.105)+(8.1)(5.6)=51.57\ mm^{2}$

b) Find the volume

The volume of the triangular prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$B=3.105\ mm^{2}$

$L=5.6\ mm$

substitute

$V=(3.105)(5.6)=17.388\ mm^{3}$

5 0

2 years ago

. Write 12 as a percent.

Burka [1]

Answer:

1200%

Step-by-step explanation:

12 = 12.

To convert to percent, bring decimal back 2 places

It becomes 1200%

7 0

3 years ago

Read 2 more answers

Please help me with this homework

yulyashka [42]

B= -42 C= -38
So the difference going up to positive is 4 and the difference going down in negative is -4.

5 0

2 years ago

Three vertices of parallelogram MNPQ are M(-1,1) , N(2,3) , and P(4,1). Plot points M, N, P, Q in the coordinate plane below.

Karo-lina-s [1.5K]

Made it quickly in WA so you get it fast

8 0

3 years ago

Help. Math Got Me Super Stumped

Alex

Answer:

x=-1

Step-by-step explanation:

I'm weird and love these types of problems.

Ok first off we need to get x alone. To do that we need to first get rid of the 7.

We can do that by adding it because you have to use the opposite operation to get rid of it.

5x - 7 (+7) = -12 (+7)

See if you add -7 + 7 you get 0 which is why you have to use the opposite.

5x = -5

To get x alone you have to divide 5 because 5 is being multiplied by x.

5x(/5) = -5(/5)

x= -1

So x= -1

If you ever need more help, don't be afraid to reach out. I hope that helps!

7 0

2 years ago

Read 2 more answers