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.
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Find x and y. please help
Answer:
option c is the correct one according to me......
Please I need help ASAP
Answer:
6, -4
Step-by-step explanation:
Not sure if correct but that's what I got
help please will give brainliest
Answer:
R=0.25
Step-by-step explanation:
Y=RX
2=R×8
2/8=8R/8
R=0.25
2b - 19 = 11
Show explanation
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^^
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)=
Answer:
pagal answer toone khoo
Which ratio forms a proportiona with 5:15?
A: 10:20
B: 75:5
C: 3:1
D: 1:3
Answer:
C
Step-by-step explanation:
Answer:
Answer is D.1:3
Step-by-step explanation:
I hope it's helpful!
Please please PLEASE Help me!7th grade math, I will give brainliest to the correct answer!
Answer:
c
Step-by-step explanation:
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.
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.
The number of students enrolled at a college is 17,000 and grows 6% each year.
Answer:
1020 new students per year.
Step-by-step explanation:
Expand (5x – 3y + 2) using identity.
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].
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
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.
what is the solution to the system of equations?
Help me please Thanks
how many 1/5 of a liter can 1 1/2 bottle of water
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)
What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for pi.
Answer:
28.27433
Step-by-step explanation:
c = 2π * r
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
i need help asap please and thanks
Answer:
It will be 29.39
Step-by-step explanation:
Hope this Helped
[tex] \sin ^{ - 1} ( \frac{4}{9}) = 26.39[/tex]
Can you solve 1 and 2 please
0.86 write the decimal as a fraction in simplest form
Answer:
43/50
Step-by-step explanation:
should be right.
Answer:
43/50
Step-by-step explanation:
86/100 divided by 2
Translations, reflections and rotations are all known as
transformations
hope it helps you
Complete this statement using >, <, or =
0.615 _____ 0.137
Answer:
0.615>o.137
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
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.
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?
Answer:
25
Step-by-step explanation:
because 175/7= 25
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
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 :/
I need this ASAP Joe needs at least $75 to take his mom
out for her birthday. So far he has
saved $30. He has 3 days to make the
money. Suppose he earns the same amount each
day,
write
an inequality to find out how much
he needs to earn each day. solve the inequality
Answer:
He will need to get 15$ 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
pls Help!.. help help help
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)
Answer:
A
Step-by-step explanation:
please help me if you can
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
The ratio of 15 days to a week is
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.
I need help with 4,5,6
Answer:
4. 3. 10
5. 1102.31
6. 17.37
Step-by-step explanation: