If a cylinder has a volume of 80 cubic centimeters, and a diameter of 3 centimeters, what is it's height?

Find the area please

tatuchka [14]

Answer:

D

Step-by-step explanation:

Recall that the area of a triangle is given by:

$\displaystyle A = \frac{1}{2} bh$

In this case, the base is x and the height is y. Hence:

$\displaystyle A = \frac{1}{2} xy$

We can write the following ratios:

$\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}$

Solve for x and y:

$\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha$

Substitute:

$\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)$

And simplify. Hence:

$\displaystyle A = 72\sin \alpha \cos\alpha$

In conclusion, our answer is D.

6 0

2 years ago

One month, ruby worked 8 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 136 hour

Travka [436]

Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for $(x+8)$ hours.

And Svetlana worked four times of Ruby, therefore Svetlana worked for

$4(x+8) hours$

And total hours they worked together is 136. That is

$x+x+8 + 4(x+8) = 136
\\
x+x+8 +4x+32=136
\\
6x+40 =136
\\
6x=96
\\
x =16 hours$

So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .

6 0

3 years ago

20. A community is having a Taste of the Town event featuring dishes from the area’s best restaurants. The cost of admission is

marin [14]

Answer:

18550 - 10x

Step-by-step explanation:

Given that :

Cost of admission in Advance = $25

Cost of admission at the door = $35

Number of people who paid in advance = x

Total number of tickets sold = 530

Total amount made from ticket sales will be :

(Number who paid in advance * cost) + (number who paid at the door * cost)

(25 * x) + (530 - x) * 35

25x + 18550 - 35x

18550 - 10x

6 0

2 years ago

A marble is selected from a bag, returned to the bag, and then a second marble is selected. Identify whether the events are inde

Inga [223]

Answer:

This is an independent event, as the marble is put back into the bag. If it were removed completely, it would be dependent.

6 0

3 years ago

Read 2 more answers

What are the solutions to x2+14x+40=0

torisob [31]

Answer:x

2−14x+40=0 Factor x2−14x+40 using the AC method.(x−10)(x−4)

0 If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.x−10=0x−4=0 Set the first factor equal to 0 and solve.x=10Set the next factor equal to 0and solve....x=4

The final solution is all the values that make (x−10)(x−4)=0 true x=10,4

Step-by-step explanation:IDK

7 0

3 years ago