The volume of this right trapezoidal prism is 464.75 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.

x = ft

The Volume Of This Right Trapezoidal Prism Is 464.75 Ft.What Is The Height, X, Of The Prism?Enter Your

Answers

Answer 1

Answer:

the answer is 14.3

Step-by-step explanation:

Answer 2

The height of the trapezoidal prism is 12.3 feet.

Formula for finding the volume of trapezoidal prism

[tex]v = \frac{1}{2}(b_{1} +b_{2} )hl[/tex]

where,

v is the volume of trapezoidal prism

[tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases

h is the height of trapezoidal prism

l is length of the trapezoidal prism

According to the given question

We have to find the value of x which is the length of trapezoidal prism.

And,

Volume, v = 464.75 cubic feet.

From the given figure

here,

[tex]b_{1} = 5ft[/tex], [tex]b_{2} = 8ft[/tex],  [tex]h = xft[/tex], and [tex]l = 5.8ft[/tex]

Substitute all these values in the formula of the volume of trapezoidal prism

⇒ 464.75 = [tex]\frac{1}{2}[/tex] ×(5+8)(5.8)x

⇒929.5 = 13×5.8x

⇒[tex]\frac{929.5}{(13)(5.8)}[/tex] = [tex]x[/tex]

⇒ x = 12.3 feet

Hence, the height of the 12.3 feet.

Learn more about the volume of trapezoidal prism here:

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Related Questions

A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?
A. d = 0.75 m
B. d = 1 1 3 m
C. d = 3.5 m
D. d = 2.625 m

Answers

Answer:

3.5

Step-by-step explanation:

2 5/8 mi=21/8mi 3/12min=7/2min 7/2 as a decimal is 3.5

brainliest but gotta be right

Answers

Answer:

given - circumference of the coin = 122 inches.

to calculate - radius of the coin.

______________________________________

[tex]\fbox\pink{Solution -}[/tex]

[tex]circumference = 2\pi \: r \\ \\ r = \frac{circumference}{2\pi} \\ \\r = \frac{\cancel{122}}{\cancel2 \times \frac{22}{7} } \\ \\ r = \frac{61}{ \frac{22}{7} } \\ \\ r = 61 \times \frac{7}{22} \\ \\ r = \frac{427}{22} \\ \\ r = 19.41 \: inches \: (approx.)[/tex]

hope helpful :D

Answer :

19.42 inches

Step-by-step explanation :

We know that,

[tex]{\longrightarrow \qquad \frak {\pmb{ 2 \pi r = Circumference_{(circle)} }}}[/tex]

Here,

r is the radius of the circle.

We'll take the value of π as 3.14 . (Answer may be different if we take the value of it as 22/7)

Now, substituting the values :

[tex]{\longrightarrow \qquad \sf{ 2 \times 3.14 \times r = 122}}[/tex]

[tex]{\longrightarrow \qquad \sf{ 6.28 \times r = 122}}[/tex]

[tex]{\longrightarrow \qquad \sf{ r = \dfrac{122}{6.28} }}[/tex]

[tex]{\longrightarrow \qquad \frak{\pmb{ r = 19.42}}}[/tex]

Therefore,

The radius of the object is 19.40 inches approximately (Rounded to nearest tenth)

i need help ASAP!! how do i do this?

Answers

Answer:

C and D

Step-by-step explanation:

C is a repeating decimal and D is a terminating decimal

Answer:

e

Step-by-step explanation:

GOT ANOTHERONE DUE IN 6 MIN PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

We have given one rectangle whose 3 by 4th part is shaded and remaining part is non shaded.

To Find :-

We have to find the area of shaded region of the given figure .

Let's Begin :-

Here, We have

The dimensions of large rectangle as 12 units and 8 units That is, [tex]\sf{ Length = 9 + 3 = 12 \: units}[/tex][tex]\sf{ Breath = 4 + 4 = 8 \: units}[/tex]The dimensions of non shaded rectangles are 9 units and 4 units

We know that,

Area of rectangle

[tex]\bold{\red{ = Length {\times} Breath }}[/tex]

Subsitute the required values,

Area of large rectangle

[tex]\sf{ = 12 {\times} 8 }[/tex]

[tex]\sf{ = 96 \:units^{2}}[/tex]

Thus, The area of large rectangle is 96 units² .

Now,

Area of non - shaded rectangle

[tex]\sf{ = 9 {\times} 4 }[/tex]

[tex]\sf{ = 36\: units^{2}}[/tex]

Thus, The area of non shaded rectangle is 36 units² .

Therefore,

Area of shaded region

= Area of large rectangle - Area of non shaded rectangle

Subsitute the required values,

[tex]\sf{ = 96 - 36}[/tex]

[tex]\sf{ = 60\: units^{2}}[/tex]

Hence, The total area of shaded region is 60 sq.units.

✰Given:-

➾Length(L) of bigger rectangle = [tex]\sf{9+3\: =\:12}[/tex]units.

➾Length(l) of smaller rectangle = 9units.

➾Breadth (B) of bigger rectangle = [tex]\sf{4+4 \:=\: 8}[/tex]units.

➾Breadth(b) of smaller rectangle = 4 units.

✰To Find:-

➾Area of the shaded region.

✰Solution:-

➾We can find the area of shaded region by subtracting area of smaller rectangle from area of bigger rectangle(that is whole rectangle including shaded and non shaded region).

So,

Area of bigger rectangle = [tex]\sf{L×B}[/tex](putting the value of L and B from the above given)

= [tex]\sf{8×12}[/tex]

= [tex]\sf{96unit^2}[/tex]

Similarly,

Area of smaller rectangle = [tex]\sf{l×b}[/tex](putting the value of l and b from the above given)

= [tex]\sf{9×4}[/tex]

= [tex]\sf{36unit^2}[/tex]

Now,

Area of shaded region = Area of bigger rectangle - Area of smaller rectangle.

[tex]\sf{= 96-36}[/tex]

[tex]\sf{= 60unit^2.}[/tex]

Therefore, area of shaded region[tex]\sf{= 60unit^2.}[/tex]

__________________________________

Hope it helps you:)

What is the sum of the lengths of the shortest and longest ski trails? the short one is 1 3/8 th long one is 3 1/8 what is the sum

Answers

Answer:

44/8. ----- then you reduce to the lowest term and convert to decimals 5.5

Answer:

4 1/2

Step-by-step explanation:

Given lengths :-

1  3/83 1/8

To Find :-

Sum

Solving :-

1 3/8 + 3 1/8Convert to improper fractions so there is a common denominator11/8 + 25/836/89/24 1/2


What is the area of the reduced triangle?
24 cm?
O 60 cm?
O 75 cm?
O 375 cm?

Answers

Answer:

24

Step-by-step explanation:

area = a * b / 2

Answer:

24

Step-by-step explanation:

when you multiply by decimal, it always going to be a reduces number compare to the original.

which of the following sequences is not arithmetic
1,2,3,4...
1,4,9,16...
2,4,6,8...
0,-2,-4,-6....
please help

Answers

Answer:

1,4,9,16...

Step-by-step explanation:

It does not have a common difference between each consecutive term, therefore it is not an arithmetic sequence.

Please help!!!!!!!!!!!!

Answers

Answer:

38

Step-by-step explanation:

It is the highest value in the number line-up :)

Have a great day!!

Please rate and mark brainliest!!

Answer:

38

Hope this helps

maybe brainliest IF IT iS RIGHT;))
You resize a picture so that the radius of the midday Sun appears four times larger. How much larger does the circumference of the Sun appear?

The circumference appears (BLANK) times larger.

Answers

Answer:

The circumference appears four times larger.

Step-by-step explanation:

C=2πr

So if we are multiplying the radius (r) by 4 then that would most definitely increase the outcome (circumference) by 4

here's why:

C=2πr

C=2π(4r)

C=8πr

So,

8πr/2πr = 8/2 = 4

Hope this helps! ;)

Follow the above formula

Please try your best and show your work and I will give brainliest!
The table below shows the number of pencils of each color for all 25 pencils in a box.
Pencils in the box
Color Number
Red 11
Blue 11
Green 3
The likelihood of an event occurring may be described as certain, more likely, equally likely, less likely, or impossible.
Part A:
A single pencil is drawn from the box. Describe the likelihood that the pencil is black. Explain your reasoning.
Part B:
The pencils have all been placed in the box. Compare the likelihood of drawing a red pencil to the likelihood of drawing a blue pencil from the box. Show your work and/or your reasoning.
* The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue or green. The likelihood of drawing a green pencil is now greater than the likelihood of drawing a red pencil, but less than the likelihood of drawing a blue pencil.
Part C:
How many colors of each pencil were added to the box. Explain how you know that your answer is the only possible outcome that meets all the conditions.

Answers

Answer:

Part A: impossible

Part B: Either equal or blue

Part C: 9 green and 2 blue were added

Step-by-step explanation:

Part A:

The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.

Part B:

I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.

Part C:

The least number of green colored pencils added has to be 9, because the chance of drawing a green pencil is now greater than the chance of drawing a red pencil. If we add 8 more green pencils, the likelihood would be the same. Therefore, the number of green colored pencils added has to be at least 9. If we have the last 2 colored pencils be blue, then there would be 11 red, 13 blue, and 12 green. This fits all the conditions, therefore, adding 9 green colored pencils and 2 blue colored pencils is the answer.

I hope this helps and please mark me as brainliest!

Answer:

just adding an answer so u can give the other person brainliest x btw thanks to the other person sm!

Step-by-step explanation:

Write the expanded form of the expression (using distributive property). -4(5x + 6)

Answers

Answer:

-20x - 24

you just multiply the factor on the outside by each on the inside.

-20x-24 you multiple the negative four by 5x and 6

Question 6 of 10
The table shows how many males and females attended two different
movies. How would you find the joint relative frequency of being female and
attending an action movie?
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
A. Divide 99 by 250.
B. Divide 204 by 250.
ООО a
C. Divide 99 by 479.
9
D. Divide 99 by 204.

Answers

Answer:

A

Step-by-step explanation:

I didn't learn jrf, but I believe that it is the amount of females that watch action movies divided by the total amount of females.

Amount of females who watch action movies= 99

Total females= 250

So, A seems correct.

The joint relative frequency of being male and attending a drama film, divide 124 by 229.

What is Relative Frequency?

The number of times an event occurs divided by the total number of events occurring in a particular scenario is described as relative frequency.

Two things must be understood in order to compute the relative frequency:

Total number of events/trialsA category or subgroup's frequency count

               Action           Drama              Total

Male           105                124                 229

Female       99                 151                  250

Total           204               275                 479

The joint relative frequency is the frequency in a given category divided by the total number of data values.

Here, The total number of males = 229

and, the number of males that like drama = 124

To calculate the joint relative frequency of being male and attending a drama film, divide 124 by 229.

Learn more about Relative Frequency here:

https://brainly.com/question/29739263

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The ratio of offensive to defensive players on a football team is 4 to 3. If there are 52 offensive players on the team, how many defensive players are there?

Answers

Answer:

39

Step-by-step explanation:

1) Write a proportion using the ratio 4 to 3:

offense players (o) / defense players (d) = 4/3

2) Substitute known values:

52 / d = 4/3

3) Cross multiply (or your own method) and solve:

d = 39 players

Hope this helps!

Answer:

The answer is 39

Step-by-step explanation:

no explanation needed

List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches. find the area of the rectangle the square the triangle and the other rectangle

Answers

Answer:

The area of the square is x^2

The area of the triangle is x*height/2

The area of the rectangle is x*height of rectangle

X is the length of the square named C

You need to measure these yourself because we don't know whether these are to scale or not.

Step-by-step explanation:

BRAINLIEST + 45 POINTS FOR RIGHT ANSWER ONLY! MUST SHOW WORK!

Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:


Position: Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position: 3 7 40


Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.

Answers

Answer:

Step-by-step explanation:

40+3+7=50

50x2=100

40x2=80

3x2=6

7x2=14

80% on side

6% with open side up

3 percent with closed side up

Answer:

80% on side

6% with open side up

3 percent with closed side up

Please give brainliest!!

What is your experimental probability for rolling at least one “1” when rolling two dice? SHOW YOUR WORK please(:

Answers

With one dice the chance of rolling a one is 1/6.

With two you have twice the probability, so its 1/3.

This is because there are 6 sides on a dice.

Please mark brainliest if this helped!

Answer:

The probability of rolling at least one 1 is 1/3

Step-by-step explanation:

When there is one dice the probability of rolling a '1' is 1/6

When you roll two dice, the probability of rolling a '1' increases, making it a 1/3 of rolling a one.

-I hope this helps!

The boys track team needs to keep a count of how many laps they run at practice so they know the distance. Each lap is 400 meters. What is the difference between the teammate who ran the furthest and the teammate who ran the least distance?

Answers

Answer:

9 laps or 3600 meters.

Step-by-step explanation:

First you want to find who has ran the furthest and the least distance.

So we have Rory ran the most with 14 laps or 5600 meters and Daniel who ran the least with 5 laps or 2000 meters.Next we subtract becuase when you say to "find the difference" it means to subtract.We subtract  if you want to find the laps we do 14-5 and if you want to find the number of meters we do 5600-2000.

9 because 14-5=9 and if you want it in meter than you times that by 400

KA EASY- correct answers only thx :)

Answers

Answer:

B C

Step-by-step explanation:

not gonna bother, by examination

The answer will be B,C

For each ordered pair, solve the percent problems to find the coordinates. (x is 110% of 10 y% of 50 is 3.5).

Answers

Step-by-step explanation:

The value of x and y based on the percentages that are given will be 11 and 7.

How to calculate the percentage

Since x is 110% of 10. This will be;

= 110% × 10

x = 11

Since y% of 50 is 3.5. This will be:

y% × 50 = 3.5

y% = 3.5/50

0.01y = 3.5/50

y = 7

Therefore, it can be seen that value of x and y based on the percentages that are given will be 11 and 7.

Find the area of the irregular figure in the diagram.

Answers

Answer:

15 because there are 15 squares i counted

Step-by-step explanation:

You just have to count the squares. The answer is 15

The MAD of the data set in the table is about 6.7. Does the value 4 deviate more or less than most of the values in the table? Explain.

Answers

Answer: 27

Step-by-step explanation: I know bc I am doing the test

Find the value of a and b so that f(x)=(x-5)(a㏒ₓ3-b)

Answers

Answer: :-p(x) = x⁴ - ax³ -3x² + 2x + bWe have to find the values of "a" and "b"Given :-(x+1) and (x-1)

hi everone can you help i will be sending more qusetions each one is 10 points thank you

Answers

Answer: 326

The blank space equals 326, 326 times 15 is 4890 as you’d start by multiplying 326 times 10 then multiply 326 times five then add the two sums and get your answer.


We can use inverse operations to find this question by dividing 4890 by 15. We can check our answer by multiplying 326 by 15.

Answer:

326

Step-by-step explanation:

We can use inverse operations to find this question by dividing 4890 by 15. We can check our answer by multiplying 326 by 15.

Hope this helps :)

show work on how to do the question

Answers

Answer:

8.4

Step-by-step explanation:

subtract 18-9.6 to get the answer of 8.4

Day 3 Algebra Q10
5x+512=3x+652
4y+134=2y+264
a) What is x+y?
b) What is xy?
c) What is x-y?
d) What is x(x+y)+15y?

Answers

The answer to ur equation is -y/4x^8z.
C

Can ya'll help me? I have tried to do it but I keep getting it wrong :(

Answers

Answer:

A: 4

Step-by-step explanation:

So first you can move the 2^-5 to the denominator, making the equation (2^2) (4^3) / (2^5) (2)

Then simplify the terms so you end up with (4)(64) / (32) (2)

Then multiply the denominator so you end up with (4) (64) / (64)

Since both the denominator and numerator have 64, those cancel out leaving you with 4

If you need more clarification feel free to ask

Answer:

A) 4

Step-by-step explanation:

Evaluating

(2⁻⁵)(2²)(4³)(2⁻¹)(2)⁻⁵⁺²⁻¹ x (2²)³(2)⁻⁴⁺⁶(2)²4

20 hm = m

3,412 mm = km

0.25 m = mm

590 mg = g

75cm = m

12.5 m = km

8,808 cm = km

20 hm = mm

1,235g = kg

12 decimeters = dm
deka

20 L = mL

13.6 mL = L

Answers

Answer:

Step-by-step explanation:

20 hm = 2000 m

3,412 mm = 0.003412 km

0.25 m = 250 mm

590 mg = 0.59 g

75cm = 0.75 m

12.5 m = 0.0125 km

8,808 cm = 0.08808 km

20 hm = 2000000 mm

1,235g = 1.235 kg

12 decimeters = 0.12 dam

20 L = 20000 mL

13.6 mL = 0.0136 L

Hope this helps :)

Answer:

See below.

Step-by-step explanation:

Let's review the metric prefixes used in this problem:

m = 1/1000

h = 100

c = 1/100

k = 1000

da (deca) = 10

20 hm = 20 × 100 m = 2,000 m

3,412 mm = 3412/1000 m × 1 km/(1000 m) = 0.003412 km

0.25 m = 0.25 m × 1000 mm/m = 250 mm

590 mg = 590 mg × 1 g / (1000 mg) = 0.59 g

75 cm = 75 × m/100 = 0.75 m

12.5 m = 12.5 m × 1 km / 1000 m = 0.0125 km

8,808 cm = 8,808 cm × 1 m / 100 cm × 1 km / 1000 m = 0.08808 km

20 hm = 20 × 100 m × 1000 mm/m = 2,000,000 mm

1,235 g = 1,235 g × kg/(1000 g) = 1.235 kg

12 dm = 12 dm × 1 m / 10 dm × 1 dam / 10 m = 0.12 dam

20 L = 20 L × 1000 mL/L = 20,000 mL

13.6 mL = 13.6 mL × 1 L /  1000 mL = 0.0136 L

This is the graph of a polygon. What is the approximate perimeter of the polygon?

Answers

Answer: 20.48

Step-by-step explanation:

use the pythagorean theorem for the diagnal sides

3^2+3^2=c^2

9+9=c^2

18=c^2

[tex]\sqrt{18}[/tex]

this gives you 4.24

now add 6+6+4.24+4.24 to get 20.48

This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 34.

What is the surface area of the image after the dilation?


185 5/8 m²

219 3/8 m²

247 1/2 m²

292 1/2 m²

Answers

Answer:

Explanation:

11x5=55

11x13=143

5x13/2=32.5

55+32.5+143=230.5

230x185 5/8 m²=42 693.75 m2

230x219 3/8 m²=50 456.25 m2

230x247 1/2 m²=56 925 m2

230x292 1/2 m²=67 275 m2

I DO NOT 100% KNOW IF THESE ARE CORRECT

Answer:

247 1/2 m 2

Step-by-step explanation:

have  a good day

Can somebody please help me with this? Thank youuuu

Answers

Answer:

a. (5x+75)°

b. x = 21

c. X° = 21° and (4x+75)°= 159°

Step-by-step explanation:

A. Combine like integers.

B. (5x+75)°=180° Because they are suplementary angles.

   5x°= 105°

   5x ÷5 = 105 ÷ 5

   x = 21

C. (4x + 75)°

   4(21) + 75

   84 + 75 = 159°

159 degrees is the answer
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