Please help Math answers

a cylinder has a height of 12 feet and a radius of 14 feet. what is its volume? use ≈ 3.14 and round to the nearest hundredth

Komok [63]

Answer:

V = 7385.28

Step-by-step explanation:

Formula of the volume of a cylinder: V = pi*r^2*h

Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...

V = (3.14)(14)^2*(12)

= 7385.28

Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)

7 0

2 years ago

If a=22.3 and B=47°18’ find c (picture provided)

igor_vitrenko [27]

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

$\frac{a}{sin(A)} = \frac{c}{sin(C)}$

And we'll isolate a to get:

$c = \frac{sin(C) * a}{sin(A)}$

We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

$c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88$

So, let's round it to 32.9 to match the answer number D.

8 0

3 years ago

This is the same triangle you used for Question 2.

sveta [45]

Answer:

93

Step-by-step explanation:

in your answer, give the measure of Angle C and explain how you calculated it.

i dont know the answer but i just added 3(29+2) and got 29 sorry if its wrong

8 0

2 years ago

(-4x-2)+1/2(12x-22) simplify

Ierofanga [76]

Answer:

2x - 13

Step-by-step explanation:

Step 1 :

1

Simplify —

2

Equation at the end of step 1 :

1

(-4x - 2) + (— • (12x - 22))

2

Step 2 : Pulling out like terms :

3.1 Pull out like factors :

12x - 22 = 2 • (6x - 11)

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

12x - 22 = 2 • (6x - 11)

Equation at the end of step 3 :

(-4x - 2) + (6x - 11)

6 0

3 years ago

Answer this pls..................

Sindrei [870]

Answer:

so we know:

total of 20 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

chemistry has a total of 14 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14

8 students are in physics

1 2 3 4 5 6 7 8

3 are in all of them

1 2 3

1) underline the main 3

total of 20 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

chemistry has a total of 14 students

1 2 3 4 5 6 7 8 9 10 11 12 13 14

8 students are in physics

1 2 3 4 5 6 7 8

2) lets bold the physics students, if you are in physics you have to do chem so that means 8 of the chem students also take physics.

total

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 9 10 11 12 13 14

physics

1 2 3 4 5 6 7 8

3) now we bring biology into the "equation"

off the bat we know 3 are definitely in Biology.

so if 4 study ONLY biology we can cross them off our list see the {}

total

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3 

4) so we have a total of 20 students, 3 in all of the classes (underlined), 8 in physics (bolded). If there 14 in chemistry, 4 take ONLY chemistry {}, 8 take chemistry as well (bolded), that leaves two students, so they must belong in biology. lets italicise them.

total

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3  13 14

5) out of our total of 20 students we know 14 of the students classes, so the remaining six must be in biology.

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3 13 14 15 16 17 18 19 20

6) so that was our "diagram" so now lets count how many are in chemistry and biology but NOT physics.

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

-1 2 3 4 5 6 7 8- {9 10 11 12} 13 14

physics

-1 2 3 4 5 6 7 8-

biology

-1 2 3 -13 14 15 16 17 18 19 20

there are 14 students in chemistry and 11 in biology, 5 of them are in both classes so 14-5= 9 and 11-5= 6 9+6=16. BUT 8 of those sixteen are also in -physics- so we arent counting them, we put those students in dashes. so lets count the students out of the dashes. so twelve of them are in chemistry and biology but not physics.

7) so how many are in just biology but not the other classes? lets look at the graph.

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14 15 16 17 18 19 20

chemistry

1 2 3 4 5 6 7 8 {9 10 11 12} 13 14

physics

1 2 3 4 5 6 7 8

biology

1 2 3 13 14 15 16 17 18 19 20

in the class of biology students 1 2 3 13 and 14 take other classes that leaves students 15 16 17 18 19 and 20. so 6 students take ONLY biology.

sorry its long but i hope this helps!

3 0

3 years ago