The pentagonal prism below has a base area of 34 units² and a volume of 180.2 units³
. Find its height.

Answers

Answer 1

height of pentagonal prism is h unit.

What is pentagonal prism?

The prism is one that has two pentagonal bases from which one acts as bottom and the other acts as top. The pentagonal prism has five rectangular sides. This prism has 10 vertices and 15 edges. It is also said five-sided polygon prism.

What is the height of prism as stated above?

given, area of pentagonal prism = 34 square unit

volume of pentagonal prism = 180.2 cubic unit

we know the formula for the area of the pentagonal prism.

Total surface area = 5ab + 5hb

Volume of pentagonal prism = 5/2 a b h

where, a =apothem length

b = base length

h = height of the prism

according to the given statement, 34 = 5 a b + 5 h b

          180.2 = 5/2 a b h

from the above two equation, we get, the height of prism = h unit.

To know more about pentagonal prism visit:

https://brainly.com/question/27476

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Related Questions

please help me if you can

Answers

X= 35

How to:
Cross Multiply

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

Direction: Simplify each expression using Product Rule.

: (−
3)(23
) = −2(
3+1
1+3
)

= −2



1. (
2
)(
4
) = 6. (34
)(2
)(
3
)

2. (6
2
)(6
3
) = 7. (−6
2)(−3
3
5
)

3. (
2
)(
4
)(
2
) = 8. (2
2
)(3
4
)

4. (
1
2) (
1
2) = 9. (
1
3) (
2
3) =

5. (
3
5) (
1
5) = 10. (2
1
6) (−3
1
6)=

Answers

Answer:

pagal answer toone khoo

Help me please Thanks

Answers

a) y=x !!!!!!!!!!!!!!!

Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 63 text messages from Yolanda. Which equation can be used to find how many text messages Quiana has from Pierre, p? A. 63p = 7 B. 7p = 63 C. 63 + p = 7 D. 7 + p = 63

Answers

im fairly sure its C

A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers. How many flowers were in each bouquet?

Answers

Answer:

25

Step-by-step explanation:

because 175/7= 25

The number of students enrolled at a college is 17,000 and grows 6% each year.

Answers

Answer:

1020 new students per year.

Step-by-step explanation:

how many 1/5 of a liter can 1 1/2 bottle of water

Answers

Answer:

7 1/2

Step-by-step explanation:

3/2 divided by 1/5 = 3/2 * 5/1 = 15/2 = 7.5

Answer:

7 1/2 glasses can Lin fill.

Step-by-step explanation:

To know how many glasses can Lin fill with a 1 1/2 lite bottle of water, we have to divide:

According to this result, Lin can fill 7 glasses and one half, that's what means 7.5.

(hope this helps can i plz have brainlist :D hehe)

Translations, reflections and rotations are all known as

Answers

transformations

hope it helps you

Find x and y. please help​

Answers

Answer:

option c is the correct one according to me......

Serena paid $194.99 for a game system and then bought two equally price games. If she spent a total of $284.97, what is the price, P, of one game? Right and solve an equation

Answers

Answer:

44.99

Step-by-step explanation:

284.97(total cost) - 194.99(system cost) = 89.98(money spent on games) / 2(total games) = 44.99 = 44.99 spent per game.

The ratio of 15 days to a week is​

Answers

Answer :

The ratio of 15 days to a week is 15 : 7.

[tex] \\ [/tex]

Explanation :

Ratio of 15 days to a week :

[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: days}{1 \: week}[/tex]

[tex] \\ [/tex]

Now, we know that 1 week has 7 days.

[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: \cancel{days}}{7 \: \cancel{days}}[/tex]

[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15}{7}[/tex]

[tex] \sf : \implies 15 \: days : 1 \: week = 15 : 7[/tex]

[tex] \\ [/tex]

Hence, The ratio of 15 days to a week is 15 : 7.

What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for pi.

Answers

Answer:

28.27433

Step-by-step explanation:

c = 2π * r

Please please PLEASE Help me!7th grade math, I will give brainliest to the correct answer!

Answers

CCcCcCcCcCcCc Cc c C c c c. C c c c

Answer:

c

Step-by-step explanation:

what is the solution to the system of equations?

Answers

The correct answer is b

i need help asap please and thanks

Answers

Answer:

It will be 29.39

Step-by-step explanation:

Hope this Helped

[tex] \sin ^{ - 1} ( \frac{4}{9}) = 26.39[/tex]

Which ratio forms a proportiona with 5:15?

A: 10:20
B: 75:5
C: 3:1
D: 1:3

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer is D.1:3

Step-by-step explanation:

I hope it's helpful!

I need this ASAP Joe needs at least $75 to take his mom
out for her birthday. So far he has
saved $30. He has 3 days to make the
money. Suppose he earns the same amount each
day,
write
an inequality to find out how much
he needs to earn each day. solve the inequality

Answers

Answer:

He will need to get 15$ a day

Step-by-step explanation:

So what u can do is subtract 30 from 75 u will get 45 divide that by 3 and u get 15. Hope it helps

Complete this statement using >, <, or =

0.615 _____ 0.137

Answers

Answer:

0.615>o.137

Step-by-step explanation:

>

>>>>>>>>>>>>>>>>>>>>>>

I need help with 4,5,6

Answers

Answer:

4. 3. 10

5. 1102.31

6. 17.37

Step-by-step explanation:

Can you solve 1 and 2 please

Answers

1 A 2 C
Bjigbsnakensndbdbd

0.86 write the decimal as a fraction in simplest form​

Answers

Answer:

43/50

Step-by-step explanation:

should be right.

Answer:

43/50

Step-by-step explanation:

86/100 divided by 2


Expand (5x – 3y + 2) using identity.​

Answers

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

Please I need help ASAP

Answers

Answer:

6, -4

Step-by-step explanation:

Not sure if correct but that's what I got

2b - 19 = 11
Show explanation

Answers

Answer:

2b=11+19

2b=30

b=15

heyyyyyyyy guys

2b-19 = 11

+19 on each side

2b = 30

÷2 on each side so b is by itself

b=15

hope that helped^^

pls Help!.. help help help

Answers

uhh there’s no picture it just only shows up black when i press it:/

Ok so like last like night like I was like playing and like when I was like done playing I went to my room and like when I like went to my room I like 额我真的 and like it was like like so like crazy that I almost like died laughing

Answers

Answer: DUDE U GOT SO MANY "LIKE" IN ONE SENTENCE

Step-by-step explanation:

Answer:

like So like um.... like hit like the like heart like button like?

Step-by-step explanation:

i d k :/

Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА
Ax = (x+6)(x-4)
OB.
Ay) = (x-6)(x + 4)
Oc.
Ax = (x + 6/(x+4)
OD. Ax) = (x-6)(x-4)

Answers

A is the answer hope i helped goodbye have an amazing day. stop say ain’t it’s income

Answer:

A

Step-by-step explanation:

19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression​

Answers

Answer:

70/100.

Step-by-step explanation:

When adding fractions, you need to find a common denominator.

This just means that the numbers at the bottom of both fractions you are adding must be the same.

So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).

To do this, you need to multiply 10 by 10 to get 100.

What you do to the bottom, you must always do to the top as well.

So multiply 7 by 10 and get 70.

70/100 will replace 7/10.

Now you can add fractions because the bottom numbers are the same.

help please will give brainliest ​

Answers

Answer:

R=0.25

Step-by-step explanation:

Y=RX

2=R×8

2/8=8R/8

R=0.25

What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative.

Answers

Answer:

192.5 in³

Step-by-step explanation:

The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.

Thus the volume V = lbh =

V = (20-2x)*(10-2x)*(x)

V = 4x³ - 60x² + 200x

On differentiating, we have dv/dx to be

dv/dx = 12x² - 120x + 200

Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113

This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.

You cut 2.113 inches from each corner to obtain the maximum volume.

The sizes of the cubes are

20 - (2 * 2.113) = 15.774

10 - (2 * 2.113) = 5.774

2.113

The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.

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