A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 21 cm and a height of 16 cm. The length of the entire box is 130 cm.


Which of the following is the volume of the box?
.
43,680 cm3
B.
21,840 cm3
C.
4,368 cm3
D.
19,340 cm3

Answers

Answer 1
(24 × 17 × 130\2)

24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is

C= 26,520 cm^3

Related Questions

last year there were c pies baked for the bake sale this year there were 229 pies baked using c write an expression for the total number of pies baked in the two years

Answers

Answer: c+229

Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.

Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?

Answers

Answer:

8 miles

Step-by-step explanation:

In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes

So multiply 1 mile for 4 to get 4 miles

Matt would walk 4 miles in 1 hour

Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.

Answer:

Matt would walk 8 miles in to hours.

Step-by-step explanation:

15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.

1 mile times 8 = 8 miles

Hope that helps!

Felipe just started collecting stamps. he has 36 stamps so far. His uncle Caro has 1,890 stamps in his collection. The number of stamps Carlos has is how many times the number Felipe has?

Answers

Answer:

52.5

Step-by-step explanation:

just divide bro it ain't that hard

what energy changes or causes

Answers

Answer: Nearly all thermal energy on Earth originates from the sun and radiates to the surface of our planet, traveling in the form of electromagnetic waves, such as visible light. Materials on Earth then absorb these waves to be used for energy or reflect them back into space. In an energy transformation, energy changes form.

Step-by-step explanation:

Felix’s Feed Mill sells chicken feed for $8. 00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans. Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0. Plan B: Raise the price by 10 percent each week until the price reaches $12. 0. Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12. 0. Plan D: Raise the price by $0. 25 each week until the price reaches $12. 0. Which plan will result in the price of the feed reaching $12. 00 fastest? plan A plan B plan C plan D.

Answers

The plan will result in the price of the feed reaching $12.00 fastest is Plan B because it reaches within 5 weeks.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Felix’s Feed Mill sells chicken feed for $8. 00 per bag.

This price is no longer high enough to create a profit.

Felix decides to raise the price. He is considering four different plans.

The plan will result in the price of the feed reaching $12.00 fastest will be

Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0.

⇒ $0.10 × 20 = $2

This plan will take 20 weeks to reach at a price of $12.

Plan B: Raise the price by 10 percent each week until the price reaches $12.0. The price of this plan will be in t weeks is

[tex]12 = 8 *1.1^t\\\\t = 4.25 \approx 5[/tex]

This plan will take less than 5 weeks.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.0. The amount will be

Amount = 2/8 = $0.25

Plan D: Raise the price by $0.25 each week until the price reaches $12. 0.

⇒ 0.25 × 8 = $2

This will take 8 weeks.

More about the decision-making link is given below.

https://brainly.com/question/3369578

HELP ME QUICK PLSSSSSSSS I NEED HELP

Answers

Answer:

1.b

2.c

3.a

4.a

5.d

Step-by-step explanation:

yan na po sana maka tolong

A carpenter is making a circular tabletop with a circumference of 4.5 yards.
What is the radius of the tabletop in to the nearest centimetre?

Answers

The radius of the table top is 206 when rounded to the nearest centimeters

If angle ABC measures 122, what does angle ADC measure?

Answers

Answer:

61

Step-by-step explanation:

angle at centre equals twice that at circumference

Michelle's keeping track of how much time she spends playing video games. She knows she gamed for a total of 60 hours during the past 3 weeks. She played 4 hours more during the 2nd week than the 1st week. Also, she played 2 hours less during the 3rd week than the 2nd week. How many hours did she spend playing video games during the 3rd week?

Answers

Answer:

I have no clue.

Step-by-step explanation:

Answer:

What is a appropriately

What is a Procedure

What is a Enthusiasm

What is a Conflict

What is a Technique

What is a Obtain

What is a conflict management

Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?

Answers

Answer:

0.018

Step-by-step explanation

6,100,9a-mo,0.018

Factoring
Need help pls

Answers

Answer:

2x(2²+3³)

I HOPE THIS HELP, THANKS ME LATER

Answer:

Factor by using the AC method-

1. (x+1) (x+4)

Factor by grouping-

2. (4x-3) (x+2)

What is the constant term in the expression 8xy − 9x2 y − 5x 6

Answers

Answer: 6

Step-by-step explanation:

I assume you meant to write 8xy − 9x2y − 5x + 6. The constant term in an expression is defined as a number by itself that contains no variables. Therefore, the answer is 6.

6
A constant term is a number that doesn’t have a variable. The only number in that equation that doesn’t have one is 6, so that’s it.

A cyclist managed to ride 5 miles against the wind in the same time that it took him to ride 10 miles with the wind. If the wind speed is 4 mph, which equation can be used to calculate the cyclist's average rate of speed in miles per hour

Answers

Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;

[tex]\frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

How can the correct equation be found?

The distance the cyclist rides against the wind = 5 miles

The distance the cyclist rides with the wind = 10 miLes

Let t represent the time it took the cyclist in both directions, we have;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

Where;

v = The cyclist's average rate of speed

Which gives;

10 × (v - 4) = 5 × (v - 4)

10v - 40 = 5v - 20

5v = 20

v = 20 ÷ 5 = 5

The equation that can be used to calculate the cyclist's average rate of speed is therefore;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

Learn more about average speed here:

https://brainly.com/question/6504879

Do number 17 please.

Answers

Answer:

667.2

Step-by-step explanation:

aP/2 apothem is 13.9, perimeter is 16(6)= 96

multiply apothem and perimeter then divide by 2.

Miko and Raj get the same salary. Every month Miko saves
9/11 of her salary while Raj saves
7/9 of his salary. Every year Miko saves $1584 more than Raj. Find the monthly salary of Miko.

Answers

Answer:

Step-by-step explanation:

The salaries are the same. Only the fraction of how much is saved is quite different.

Equation

x ( 9/11 - 7/9) = 1584

Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.

The amount that is more is 1584.

Solution

9/11 = 0.8182

7/9 = 0.7778

9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404

Put that into the equation.

x(0.0404) = 1584                     Divide by 0.0404)

x(0.0404) = 1584/0.0404        

answer:x = 39204

Please help i am confused

Answers

Answer: (1)

Step-by-step explanation:

The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.

1. Which of the following is an example of a system of equations?
x^2 + 5y + 10 = 14
x - y = 12

x+y=12
x – 3y > 23

3x^1/3+ 2y < 100
x+y=12

3x^1/3 + 5y = -19
x + 5y < 55

Answers

Answer: (1)

Step-by-step explanation:

A system of equations must have two equations. The first option is the only one that satisfies this.

What is the measure of the missing angle?

39 faren height plus 33 plus an unknown number to equal 180

Answers

Answer:

108

Step-by-step explanation:

39 + 33 + x = 180

To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.

39 + 33 = 72

180 - 72 = 108

Therefore, our answer is 108 degrees.

I hope this helps! Have a lovely day!! :)

y = x + 2
5x - 4y = -3
Solving systems by equations

Answers

Answer: x = 5, y = 7

Step-by-step explanation:

1. First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

2. Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

3. Add equations:

y = 7

4. Then determine x by plugging y back into the first equation y = x + 2:

x = 5

An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210

Answers

Answer:

he has to pay 4980$ in tax

Step-by-step explanation:

Answer:

This question was on my test and I got a 100 so its right

Step-by-step explanation:

19. Which of the following statements about the number line is true?
A. Numbers get smaller as you move to the left on the number line.
B. Number lines can't help you compare numerals.
O C. Numbers get larger as you move to the left on the number line.
D. Number lines end with the number 10.

Answers

Answer:

  A. Numbers get smaller as you move to the left on the number line.

Step-by-step explanation:

A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.

__

  Numbers get smaller as you move to the left on the number line.

_____

Additional comment

Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.

Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.

answer quickly please

Answers

The line TU is tangent to the circle whose center is at point S

The measure of angle U is 84 degrees

How to determine angle U?

From the question, we understand that:

Angle STV = 84 degreesTU is tangent to circle S

This second highlight means that:

Angle STU = 90 degrees

And:

Angle STU = Angle STV + Angle VTU

This gives

90 = 84 + Angle VTU

Subtract 84 from both sides

Angle VTU =  6

The measure of angle U is then calculated as:

U + Angle VTU + Angle UVT = 180 ------ sum of angles in a triangle

This gives

U + 6 + 90= 180

Evaluate the sum

U + 96 = 180

Subtract 96 from both sides

U = 84

Hence, the measure of angle U is 84 degrees

Read more about tangents at:

https://brainly.com/question/6617153

What is the difference of the solutions to (y-3)(y+3/2)=0?

I got stuck on the last part. Can someone answer this step by step please? And what is 3-3/2?

Answers

Answer:

(y-3)(y + 3/2) = 0

y = 3 or y = -3/2

the diff

3 - ( - 3/2 )

3 + 3/2

6/2 + 3/2

9/2 or 4.5

Write the expression as a product.
25-(a + 7)^2

pls help

Answers

Answer:

-(12+a)(a+2)

Step-by-step explanation:

this is to ez

The expression as a product is (a+12)(-a-2)

What is an expression?

An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.

Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²

= 25 - (a²+49+14a)

= 25-a²-49-14a

= -a²-14a-24

Factorizing,

= -a²-12a-2a-24

= -a(a+12)-2(a+12)

= (a+12)(-a-2)

Hence, the expression as a product is (a+12)(-a-2)

Learn more about expression click;

https://brainly.com/question/14083225

#SPJ2

If X and Y are 2 finite sets such that n() = 9, n( XY) - 4 and n( XY) -15, then n() is
(A) 5
(B) 6
(C) 10
(D) 12​

Answers

Answer:

I think it's a hope this helps

On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the center of dilation. What is the length of the resulting segment ?

A-80

B-100

C-112

D-125

Answers

The length of the dilated line segment is 80 units.

What is dilation?

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]

The length of the dilated line segment is 80 units.

Find out more on dilation at: https://brainly.com/question/10253650

Find the area of the figure below. Use 3.14 to approximate .
Round your answer to the nearest tenth.

Answers

Answer:

145.1 m^2

Step-by-step explanation:

(8x15)+(3.14x8)

120+25.12

145.12

round

145.1

what is the common denmoniator of 3/4 2/3

Answers

Answer:

9/8

Step-by-step explanation:

3/4 2/3

LCM=12

9/8

Am not sure

Solve for area and perimeter in each of the following problems.

Answers

Answer:

1. perimeter =2(l+w)

                    =2(17+10)

                   = 54 yards

Are of the perimeter=l times b

                                =17 x 10

                                =170 yd square

Just follow this concept for all of them. It the same thing. Good Luck!!

Step-by-step explanation:

Please help me it’s due today.

Answers

Step-by-step explanation:

i) linear

ii)2

iii) 1

iv) 1

v) -1/5

First one can u type the options in the comment

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