How many acute/obtuse/right angles does a pentagon have

Answers

Answer 1

Answer: 5 obtuse no acute and no right

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The first and second year’s sales for a company were $328,000 and $565,000. The expenses for the first year were $117,000. The company had a net profit of $113,000 after two years. What were the company's expenses for the second year?

A.
$230,000

B.
$354,000

C.
$663,000

D.
$776,000

Answers

As a disclaimer, I can't say I'm completely confident in this answer. Use at own risk.

Formulas:

Year 1: 328,000 (sales) - 117,000 (expense) = 211,000 (profit)

Year 2: 565,000 (sales) - x (expense) = y (profit)

Net Profit: 211,000 + y = 113,000

Math

211,000 (profit y1) + 565,000 (sales y2) = 776,000

776,000 - 113,000 (net profit) = -663,000 (expenses)

Confirm:

Net Profit: 211,000 + y = 113,000 (listed in formulas, just a reminder)

Plug in: 565,000 (y2 sales) - 663,000 (our solution) = -98,000

211,000 (y1 net) + -98,000 (our plug in) = 113,000 (2 year net profit given to us)

What is the column of a sphere with a radius of 9 inches

Answers

I hope this helps. Use the formula: 4•3.14 (pi) •9 squared

Please help my answer is c, is this right!

Answers

I'm not sure how you got c but the way you would solve this is for every x on the line plot you would add that amount. You don't need to worry about 0 because 0 is nothing.
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
$0.25 + 0.25 + 0.25 + 0.5 + 0.5 + 0.75 + 0.75 + 1 = 4.25$

Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and Prisms B and C have equal volume. What is the volume of each prism?

Answers

Answer: The volume of Prism A is 74 cubic feet, volume of Prism B is 222 cubic feet and the volume of Prism C is 222 cubic feet.

Step-by-step explanation: Given that three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B and Prisms B and C have equal volume.

We are to find the volume of each of the three prisms.

Let, a, b and c represent the volumes of Prism A, Prism B and Prism C respectively.

The, according to the given information, we have

$a+b+c=518~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\n\na=(1)/(3)b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\n\nb=c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the values of a and c from equations (ii) and (iii) in equation (i), we get

$a+b+c=518\n\n\n\Rightarrow (1)/(3)b+b+b=518\n\n\n\Rightarrow (1)/(3)b+2b=518\n\n\n\Rightarrow (b+6b)/(3)=518\n\n\n\Rightarrow 7b=1554\n\n\n\Rightarrow b=(1554)/(7)\n\n\n\Rightarrow b=222.$

From equation (iii), we get

$b=c=222,$

and from equation (ii), we get

$a=(1)/(3)*222\n\n\n\Rightarrow a=74.$

Thus, the volume of Prism A is 74 cubic feet, volume of Prism B is 222 cubic feet and the volume of Prism C is 222 cubic feet.

The volume of Prism A is 74 cubic feet.
The volume of Prism B is 222 cubic feet.
The volume of Prism C is 222 cubic feet.

Further explanation

Given:

Three rectangular prisms have a combined volume of 518 cubic feet.

Prism A has one-third the volume of Prism B, and
Prisms B and C have equal volume.

Question:

What is the volume of each prism?

The Process:

Prism A has $(1)/(3)$ the volume of Prism B. From the denominator 3, let us draw a diagram representing the volume of Prisms B and C, then Prism A. Remember, both prisms have the same volume.

$Prism B: \boxed{\circ}\boxed{\circ}\boxed{\circ}$

$Prism C: \boxed{\circ}\boxed{\circ}\boxed{\circ}$

$Prism A: \boxed{\circ}$ or 1 of 3 units.

From all the diagrams above, it appears that the total units are 3 + 3 + 1 = 7 units.

Three rectangular prisms have a combined volume of 518 cubic feet. Therefore, we can calculate the volume of one unit diagram.

$\boxed{ \ 7 \ unit = 518 \ cubic \ feet \ }$

$\boxed{ \ 1 \ unit = ? \ cubic \ feet \ }$

Then $\boxed{ \ 1 \ unit = (518)/(7) \ cubic \ feet \ }$

Hence, $\boxed{\boxed{ \ 1 \ unit = 74 \ cubic \ feet \ }}$

And now, let us calculate the volume of each prism.

The volume of Prism A: $1 \ unit = \boxed{ \ 74 \ cubic \ feet \ }$

The volume of Prism B: $3 \ unit = 3 * 74 = \boxed{ \ 222 \ cubic \ feet \ }$

The volume of Prism C: $3 \ unit = 3 * 74 = \boxed{ \ 222 \ cubic \ feet \ }$

Learn more

Volume of rectangular prism brainly.com/question/11613210
What is the side length of each cube? brainly.com/question/6752459
Find out the area of a cube brainly.com/question/12613605#

Keywords: three rectangular prisms, have, a combined volume, 518 cubic feet, Prism A, has one-third, the volume, Prism B, C, equal, what, each prism, units, diagram

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