A rectangular prism has a length of 9 inches and a width of 8 inches. The lateral area is 170 square inches. What is the height of the prism? The height of the prism is inches.

Answers

Answer 1

Answer:

The height of the prism is 5 inches

Step-by-step explanation:

The rule of the lateral area of the rectangular prism is

L.A = 2(L + W) × H, where

L is the length of the base of the prismW is the width of the base of the prismH is the height of the prism

∵ A rectangular prism has a length of 9 inches and a width of 8 inches

L = 9 inches

W = 8 inches

∵ The lateral area of it is 170 square inches

L.A = 170 square inches

→ Substitute them in the rule above to find the height of the prism

∵ 170 = 2(9 + 8) × H

∴ 170 = 2(17) × 5

∴ 170 = 34 × H

→ Divide both sides by 34 to find H

5 = H

The height of the prism is 5 inches.


Related Questions

2/3 of the sum of three times a number and six is 10. what is the number?

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

  2x +4 = 10 . . . . . . use the distributive property

  x +2 = 5 . . . . . . . . divide by 2

  x = 3 . . . . . . . . . . .subtract 3

The number is 3.

__

Comment on the solution

The above shows an "alternative" solution method. The more usual way this might be done is ...

  2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

  6x +12 = 30 . . . . . . . eliminate parentheses

  6x = 18 . . . . . . . . . . . subtract 12

  x = 3 . . . . . . . . . . . . divide by 6

Answer:

x=3

Step-by-step explanation:

Write the equation first, 2/3(3x+6)=10

Distribute 2,  2(3x+6)/2

Which equals 6x+12/3=10

Then multiply 3 from both sides 6x+12=30

Subtract 12

6x=18

Divide 6 from both sides

x=3

Brainliest to right answer...plz don’t answer just for points I can’t fail this...

Answers

Answer:

Infinitely many solutions

True for all y values

Step-by-step explanation:

I neeed help for 4,5, and 6



I have 15 more points left



plssss

Answers

4. Encontré el pastel en el supermercado que está cerca mi trabajo.
5. Si, compre los panes en la panadería.
6. Compre la piñata en la tienda de efectos de cumpleaños.


By the way..
1. Yo compre las frutas en el supermercado.
2. Si, envié las invitaciones en la oficina de correo.
3. Si, comi en un restaurante antes de la fiesta.

35
- 34
3+10 121
105
los
a bag contain blue black balls and 5 Yellow baz two
balls are taton at random me ather the other without
replacement fond
both boro Probability That
a They ar both black
Yellow
. The forse is yellow and the second is black
a one is yecrow and the others black
they are of the same colour
5​

Answers

Answer:

? ??

Step-by-step explanation:

You need to try and structure that question? or whatever that is better

?? This makes no sense lol did you correctly spell?

what is the answer to the question

Answers

Answer: The area of the triangle is 25 units^2.

Step-by-step explanation: The formula to find the area of the triangle is (base * height)/2. In this case, the base is 10 units long (on the x axis, it's the overall horizontal length of the triangle) and the height is 5 units long (the height can be calculated by finding the y axis length from the highest point of the triangle to the lowest). So (10*5)/2 = 50/2 which equals 25. And keep in mind, because this is the area, the unit will be units squared.

Some triangles are not parallelograms

Answers

Answer:

true

Step-by-step explanation:

parallelogram a have four sides

Answer:

It is true

Step-by-step explanation

it has no 4 sides i looked it up

Answer all of the following questions above. I will give brainliest to the correct answer!

Answers

Answer:

40

112

2n^2 + 2n       C

Step-by-step explanation:

a)The correct formula is 2n^2 + 2n

So for n =4, the answer is

2*4^2 + 2*4

2*16 + 8

32 + 8

40

b) For the seventh answer you get

2 * 7^2 + 2*7

2*49 + 14

98 + 14

112

c) The correct formula to use is

2n^2 + 2n  See diagrams for the number of matchsticks to be used.

n                    2n^2 + 2n

1                    2*1^2 + 2*1

1                    2 + 2

1                    4

2                    2*2^2 + 2*2

2                    2* 4 + 4

2                    8 + 4

2                    12

3                    2*3^2 + 2*3

3                    18 + 6

3                    24

What an extremely interesting sequence. I'll bet not one person in 100 could get this without the match stick diagrams.  I'm sorry I didn't read the question more carefully.

Let f(x)=3x+1 and g(x)=2x2−1
Find f(g(2))


10

22

97

28

Answers

Answer:

f(g(2)) = 22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Composition of functions

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 1

g(x) = 2x² - 1

Step 2: Find g(2)

Substitute:                    g(2) = 2(2)² - 1Evaluate:                       g(2) = 2(4) - 1Multiply:                        g(2) = 8 - 1Subtract:                       g(2) = 7

Step 3: Find f(g(2))

Define:                    g(2) = 7Rewrite:                   f(7)Substitute:               f(7) = 3(7) + 1Multiply:                   f(7) = 21 + 1Add:                         f(7) = 22

And we have our final answer!

For each boat he sells, Mick earns $149 in addition to 2% of the purchase price of the boat
as commission. How much will Mick earn for a boat that was purchased at $65,000?

Answers

Answer:

c = 149 + 0.02p

Step-by-step explanation:

A sample was taken of the metabolic rates of men participating in a study regarding diets. If each score is multiplied by 25 points , then the standard deviation of the new scores would:_______

Answers

Answer:

multiply by 25 also.

Step-by-step explanation:

If the scores are multiplied by 25, that means that the mean will also multiply by 25. Since the mean and the scores all increased by 25 times, the standard deviation will increase by 25 times.

If instead, you added 25 (or any other number) to each score, then the standard deviation would not change. The mean and each score will increase by 25, bu the difference between them will not change.

I Think the answer Is C

Answers

Answer:

mee two

Step-by-step explanation:

lol ok how was everyone day

Tomas is a commercial real estate agent who earns a yearly salary of $82,500 and a 2.5% commission on his total sales. If Tomas sold properties that totaled $3.75 million in sales during one year, what are Tomas’s earnings for that year?​

Answers

Answer:

$176,250

Step-by-step explanation:

Multiply $3.75 million by Tomas commission on his total sales. Since you can't multiply a percentage you have to turn the commission into a decimal by moving it two spaces to the left. (Note: If it doesn't have a decimal add one at the end of the number then move it two spaces to the left)

$3,750,000 x .025 or 0.025 = $93,750

Add $93,750 to Tomas yearly salary

$93,750 + $82,500 = $176,250

So

If Tomas sold properties that totaled $3.75 million in sales during one year, his earnings for that year would be $176,250

0.14+0.14+0.14_________0.14×3

equal to
greater than
less than​

Answers

Answer:

it is equal to

Step-by-step explanation:

0.14 + 0.14 + 0.14 = 0.42

0.14 × 3 = 0.42

I think the answer is equal to.

pls help :( plssss plsss pls

Answers

Answer:

you can alwayd use desmos for graphing

I was gonna post what the question above mii posted, but I didn’t want to offend her or him for copying them.

Please help me
What is y=

Answers

You nearly have the right equation, but you should use t instead of x. Other than that, everything looks perfect.

Which graph correctly represents the information from the table?
Time (s) Speed (m/s)
0 0
2 4
3 6
4 8
6 12

Answers

Answer:

A.

Step-by-step explanation:

A and C are the only graphs it could be because they are the only graphs starting with (0, 0)

Graph C does not have (2, 4) on it but Graph A does meaning that the only possible answer is Graph A

Answer:

Yes, ( A )would be the correct answer

Step-by-step explanation:

Took the test.

5
A bag of marbles had 16 red marbles and the rest were white. For a game, of the 16 red marbles were chosen, and 15 of the white marbles were also
chosen.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."

Answers

Is this algebra 1 or 2

what is the value of |-6.33|

Answers

Answer: the absolute value is 6.33

Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?

Answers

Answer:

I believe it is Isla Hoste in August

Answer: it is Isla Hoste in August

Step-by-step explanation:

i am sure pls give me brainliest

You plant a tree that is 36 36 inches tall. After one year, the tree is 43 43 inches tall. Which expression describes the percent of increase in the tree's height

Answers

Answer: 36 - 100%

43 - x  %

Step-by-step explanation 36 - 100%

43 - x  %

we multiply by cross ->  36 * x = 100 / 43  

we should remove '100%' from new value, because we find only increase.. no new value in percent.

x + 100 = (43 * 100)/36  

x =  4300/36 - 100

x = 119+ 16/36 -100

x = 19 +4/9

Keith borrowed $102 from his dad, and he is paying him back $11 each month

Answers

Answer:

9.2

Step-by-step explanation:

102/11

i would take him 9.2 months to pay back

Ideally, he will repay the whole amount of $102 in 10 months where he will pay $11 for first 9 months and $3 in the 10th month.

Given information:

Keith borrowed $102 from his dad, and he is paying him back $11 each month.

So, Keith will pay back his dad an amount of $11 every month till the debt is cleared.

Now, the number of months required by Keith to repay will be calculated as,

[tex]\dfrac{102}{11}=9+\dfrac{3}{11}[/tex]

Now, Keith will need [tex]9+\dfrac{3}{11}[/tex] months to completely repay his debt.

Fraction of month is not an option for repayment. So, he will pay $11 regularly for 9 months which will be $99 in the repayment, and the remaining $3 will be paid by him in the 10th month.

Therefore, ideally, he will repay the whole amount of $102 in 10 months where he will pay $11 for first 9 months and $3 in the 10th month.

For more details, refer to the link:

https://brainly.com/question/14937758

x+3+5x=
x plus three plus five x equal

Answers

Answer:

6x+3

Step-by-step explanation:

If you're just combining like terms this is the correct answer

Emeril solved this equation using the steps shown below: 4b + 2b – 3 = –21 1. Combine like terms: 6b − 3 = −21 2. Subtraction property of equality: 6b = −24 3. Subtraction property of equality: b = −4 Analyze the steps Emeril used to solve for the variable to determine if he made an error. In which step did Emeril make an error?

Answers

Answer:

Step 2: He should have added 3 to, rather than subtracting 3 from, both sides

Step-by-step explanation:

Finished assignment

Answer:

step 2

Step-by-step explanation:

Anthony has been saving nickels (N), dimes (D), and quarters (Q) over the last year. ​He knows that he has twice as many nickels as quarters. When he takes the coins to the change machine to exchange them for paper money, ​he learns that he has 260 coins that total $29.75. Determine the number of each type of coin Anthony saved.

Answers

Answer:

75 number of quarters

150 number of nickels

35 number of dimes

Step-by-step explanation:

Let x, y and z be the amount of quarters, nickel and dimes respectively.

​he learns that he has 260 coins, thus;

x + y + z = 260 - - - (1)

Now, we are told that he has twice as many nickels as quarters.

Thus, number of nickels = 2x

y = 2x - - - (2)

From online research, we have the following cost;

1 quarter = $0.25

1 nickel = $0.05

1 dime = $0.1

Total cost is $29.75. Therefore;

0.25x + 0.05y + 0.1z = 29.75 - - - (3)

Put 2x for y in eq (1) and eq (3) to get;

x + 2x + z = 260

3x + z = 260 - - - (eq 4)

0.25x + 0.05(2x) + 0.1z = 29.75

0.25x + 0.10x + 0.1z = 29.75

0.35x + 0.1z = 29.75 - - - (eq 5)

From eq(4), z = 260 - 3x

Thus;

0.35x + 0.1(260 - 3x) = 29.75

0.35x + 26 - 0.3x = 29.75

0.05x = 29.75 - 26

0.05x = 3.75

x = 3.75/0.05

x = 75

So, z = 260 - 3(75)

z = 260 - 225

z = 35

Since y = 2x,

Then,y = 2(75) = 150

Thus,we have;

75 number of quarters

150 number of nickels

35 number of dimes

What is the value for ƒ(x) = 9 3 15 6

Answers

Answer:

8 9 16 7 hope this helps

Step-by-step explanation:

I'm not to good with math lol

Answer:

9

Step-by-step explanation:

I believe this is missing part of the equation. But if you are looking for the value of f(x)=3^2x+1 when x=1/2, this is the answer you are looking for.

You will have to substitute the given value into the function and evaluate.

need help with question 2 and 3

Answers

Answer:

2. 122

3. 90 degrees

Step-by-step explanation:

CORRECT ANSWER GETS BRAINLIEST. Complete the square and find the answer! I genuinely need help so please only answer if you know.

Answers

Answer:

+49=(x+ 7)^2

hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section

Answer:

x^2 + 14x + 49 = (x + 7)^2

Step-by-step explanation:

A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, which statement must be true? The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 3 to 2. The ratio of paperback books to hardback books is 3 to 2. There are exactly 2 paperback books in the library. There are exactly 2 paperback books in the library. There are exactly 8 hardback books in the library. There are exactly 8 hardback books in the library.

Answers

Answer:

A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, the true statement is:

The ratio of paperback books to hardback books is 3 to 2.

Step-by-step explanation:

The number of books in the library = 5

The number of paperback books in the library = 3

Therefore, the number of hardback books in the library = 2 (5 - 3)

Then, the relationship between the paperback books and the hardback books in the library can be expressed as a ratio of 3:2.  This still gives the sum of the ratios as 5, which is the total number of books in the library, including paperback and hardback books.


Hurry I don’t know the answer

Answers

Answer:

I cant tell wich graph as all the options arnt present but I hope the picture will help you tell wich graph

Solve x-5= 2.
a. X = 3
b. X = -7
c. X= 7
d. x = -3

Answers

Answer: C.

Explanation: X= -7

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