What is the volume of this prism

What Is The Volume Of This Prism

Answers

Answer 1

Hi there!

[tex]\large\boxed{\text{A. } 320 cm^3}[/tex]

We can begin by finding the area of the base in order to solve for the volume.

Use the formula for the area of a trapezoid:

A = 1/2(b1 + b2)h

Substitute the given values:

A = 1/2(10 + 6)5

A = 1/2(16)5

A = 40 cm²

Multiply by the depth of the prism to solve for the volume:

40 × 8 = 320 cm³


Related Questions

Mr. Fox organizes a field trip to a museum. He orders 52 student tickets and 2 adult tickets. The cost of a student ticket is s and the cost of an adult ticket is a. The tickets Mr. Fox orders are for the students and teachers from 2 classes that he is taking to the museum. Each class pays for the same number of student tickets and each class pays for the same number of adult tickets. Write 52s + 2a as the product of the number of classes and the total cost per class. Use the number pad, a, and s to enter your answers in the boxes.
PLEASE DO NOT SEND ANY FAKE LINKS
thank you​

Answers

Answer:

52·s + 2·a = [2] × ([26·s] + [a])

Step-by-step explanation:

The number of classes Mr. Fox  takes to the museum = 2 classes

The number of tickets Mr. Fox orders = The number of students and teachers in the two classes

The number of students paid for by one of the classes = The number of students paid for by the other class

The number of adult paid for by one of the classes = The number of adult paid for by the other class

The expression for the total cost of the ticket is 52·s + 2·a

Let 'c' represent the total cost for each class

Therefore, given that each class pays for the same number of students and adults, we have;

2 × c = 52·s + 2·a

∴ c = (52·s + 2·a)/2 = 26·s + a

Therefore, given that we have 2 classes, we get;

52·s + 2·a = 2 × (26·s + a)

Five pumpkins have the following weights: 12 lbs, 15 oz, 9 lbs, 2 lbs, and 96 oz.
Move the weights so they are in order from lightest to heaviest.
What are these weights from lightest to heaviest

Answers

Answer:

15, 96, 2, 9, 12.

Find the volume of the given figure.
5
9
8

Answers

The answer is 360 because 5 times 9 is 45 times 8 is 360

Answer:

179.996

Step-by-step explanation:

Ellie makes a dot plot using the distances she runs at each track practice. What is the shape of the distribution? Explain your reasoning.

Please help and no websites

Answers

Answer:

Right skewed

Step-by-step explanation:

The shape of a distribution could be classed based on the position of the peak and position of the tails formed by the distribution. A distribution is described as being Symmetric if the peak is situated at the middle of the distribution with the tails being evenly spread to the right and left of the peak.

When the peak of the distribution shifts either to the left of right, then we have a skewed distribution. A distribution is said to be right skewed if it has a longer tail to the right while it is left skewed if the loner tail is to the left of the distribution.

The distribution Given above, the tail is longer to the right with the peak in the left. Hence we have a right skewed or positively skewed distribution

find the answer for the question please..

Answers

Answer:

44

Step-by-step explanation:

3/4×16=12

12+16(2)=44

Answer:

44 scoops

Step-by-step explanation:

create a proportion of amt of choc syrup to # scoops

1/16 ÷ 1 = 11/4 ÷ s

cross-multiply to get:

s = 16 x 11/4

s = 44 scoops

Find l.
I= [?] ft
9 ft
4 ft
PLEASE PLEASE HELP MEEEEEE IM DESPERATE

Answers

Answer:

[tex]\sqrt{85}[/tex] ft

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side in any right triangle,

Essentially, look at it as if it was flat.

a is half of the diameter, so 2 ft.

b is your height, 9ft

[tex]a^{2} +b^{2} =c^{2} \\2^{2} +9^{2} =c^{2} \\4+81= c^{2}\\\sqrt{85}=c[/tex]

find the tangent of angle A (giving brainliest and thanks to all!)

Answers

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

A mobile phone is priced at rs 9200. The price includes a Vat of 15%.How much is the mobile phone without vat?

Answers

Answer:

Step-by-step explanation:

cost price +VAT=RS 9200

let cost price (original price be x)

CP+VAT% *CP=Rs 9200

x+15/100*x=Rs 9200

100x+15x=Rs 9200*100

115x=Rs 920000

x=Rs 920000/115

x=Rs 8000

Dr. Porterfield has a choice of bread (pink, purple), meat (ham, turkey, beef) and Cheese (American, Swiss, Portugues, Japanese) at a sandwich shop. What is the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese

Answers

Answer:

The probability is 0.08[tex]\overline 3[/tex]

Step-by-step explanation:

The choice of bread Dr Porterfield has = Pink, purple

The number of types of breads = 2

The choices of meat = Ham, turkey, beef

The number of types of meat = 3

The choice of cheese = American, Swiss, Portuguese, Japanese

The number of types of cheese = 4

The probability of selecting purple bread from pink or purple = 1/2

The probability of selecting beef or turkey from the 3 choices of meat = 2/3

The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4

Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]

Find the missing exponent. 2 =8

Answers

Answer:

2^3=8

Step-by-step explanation:

Classify the quadrilateral. Find the missing angle measure(s).

Answers

Answer:

the answer is in the picture above

Step-by-step explanation:

and so is the solution pls give branliest if you wish

If a certain object has a density of 223 g/cm3 and a mass of 26 grams
Determine the volume, in cm3, of the object.

Answers

Answer:

0.11659...cm3

Step-by-step explanation:

To find volume you would have to plug it in the formula Volume= Mass / density so if we plug it in it will be, X(volume): 26(mass)/223(density) you will get 0.11659...cm3

Rewrite [tex]f(x)=(x+7)^2-9[/tex] in standard form
Quick pls

Answers

Answer: f(x)=x^(2)+14x+40

Solve: 3x + 12 = 39
hurry plzzzz

Answers

Answer:

x=9

Step-by-step explanation:

Pretty self explanatory.

What is the length of CD?
Round to one decimal place.

C
5.6
4
A
B
D
5.1

Answers

Answer:

CD = 4.4

Step-by-step explanation:

AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:

CD/CA = DB/AB

CD = ?

CA = 5.6

DB = 4

AB = 5.1

Therefore:

CD/5.6 = 4/5.1

Cross multiply

CD*5.1 = 4*5.6

CD*5.1 = 22.4

Divide both sides by 5.1

CD = 22.4/5.1

CD = 4.39215686

CD = 4.4 (1 decimal place)

Solve
1 . 10(d+2)
0.25. Show your reasoning.

Answers

10d+20 10xd=10d 10x2=20

HELPP PLZZZ ITS DUE NOW

Answers

she can buy 10 cases

Step-by-step explanation:

200-159= 61

61÷5.99 = 10.1

The planet Neptune orbits the Sun. Its orbital radius is 30.1 30.130, point, 1 astronomical units ( AU ) (AU)left parenthesis, start text, A, U, end text, right parenthesis. Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun? Give your answer in terms of π

Answers

adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.

Answer:

60.20 pi

Step-by-step explanation:

to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance

30.1*2 = 60.20

then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi

so the answer is 60.20 pi

-Hope this helps

plz mark brainlyest, rate and thank me

what is the answer of this question​

Answers

Answer:

i) [tex]2.2 * 10^{-7[/tex]

ii) [tex]6.4 * 10^{-5[/tex]

(i) 2.2 x 10^-7
(ii) 6.4 x 10^-5

Circle G has center (-4,2) and a radius of 6.

Circle H has center (-3,5) and a radius of 2.

Drag the options to complete the transformations that will show that circle G is similar to circle H.

and

unit(s)

1. Translate circle G

units)

2. Dilate circle G by a scale factor of

4



1

3

4

down

left

right

up

Answers

Answer:

1. Translate circle G T₍₁, ₃₎, 1 right, 3 up

2. Dilate circle 'G' by a scale factor of 1/3 ro

Step-by-step explanation:

The parameters of the two circles are;

The center of circle G = (-4, 2)

The radius of circle G, r₁ = 6

The center of circle H = (-3, 5)

The radius of circle H, r₂ = 2

The transformations that will show that circle G is similar to circle H are;

1. Translate circle G 1 unit right and 3 units up to locate the center of circle 'G' at the center of circle 'H'

Therefore the translation of circle 'G' to circle 'H' = T₍₁, ₃₎

2. The scale factor required to dilate circle 'G' to circle 'H', S.F. = r₂/r₁

Therefore;

S.F. = 2/6 = 1/3

The scale factor required to dilate circle 'G' to circle 'H' = 1/3

Therefore;

The radius of circle 'H' with a radius of 2 and center at (-3, 5) can be obtained from circle 'H', by a translation of T₍₋₁, ₋₃₎, and a dilation with a scale factor of 1/3

subtract the sum of 5/9 and -2/9 from the sum of 7/12 and -5/12​

Answers

[tex] [\frac{7}{12} + ( - \frac{5}{12} )] -[ \frac{5}{9} + ( - \frac{2}{9} )] \\ \\ = [ \frac{7}{12} - \frac{5}{12} ] - [ \frac{5}{9} - \frac{2}{9} ] \\ \\ = [ \frac{7 - 5}{12} ] - [ \frac{5 - 2}{9} ] \\ \\ = \frac{2}{12} - \frac{3}{9} \\ \\ = \cancel \frac{2}{12} - \cancel \frac{3}{9} \\ \\ = \frac{1}{6} - \frac{1}{3} \\ \\ = \frac{1 - 2}{6} \\ \\ = - \frac{1}{6} [/tex]

Hope This Helps You ❤️

Answer:

         [tex]\frac{-1}{6}[/tex]

Step-by-step explanation:

[tex]Sum \ of \ \ \frac{5}{9} \ and \ \frac{-2}{9} =\frac{5}{9} + \frac{-2}{9} = \frac{5-2}{9} = \frac {3}{9} = \frac{1}{3}[/tex]

[tex]Sum \ of \ \frac{7}{12} \ and \ \frac{-5}{12} = \frac{7}{12} \ + \ \frac{-5}{12} = \frac{7-5}{12} = \frac{2}{12} = \frac{1}{6}[/tex]

[tex]subtract \ first \ from \ second = \frac{1}{6} - \frac{1}{3} = \frac{1 -2}{6} = \frac{-1}{6}[/tex]

What is the sum of the 5th cube number and the 4th cube number

Answers

Answer:
129
Step-by-step explanation:
4+125=129 hope this helps

3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction

Answers

Answer: 13/4

Step-by-step explanation: it was 3.25 and that as a fraction is 13/4

3/4 + ( 1/3 × 6 ) + 1/2 =

3/4 + 2/4 + ( 2 ) =

3 + 2/4 + 8/4 =

5/4 + 8/4 =

5 + 8/4 =

13/4

For a standard normal distribution, find the approximate value of P (-0.78 < z < 1.16). Use the portion of the standard normal table below to help answer the question.
A. 22%
B. 66%
C. 78%
D. 88%

Answers

Answer:

B: 66%

Step-by-step explanation:

Transformation Rule:
Translate 4 units right and 3 units up.
B
Х
A

Answers

Answer:

Step-by-step explanation:

Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,

(h, k) → (h + a, k +b)

Coordinates of A → (-4, -2)

Coordinates of B → (1, -1)

Coordinates of C → (0, -5)

If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

                                                    → (0, 1)

Coordinates of B' → (1 + 4, -1 + 3)

                             → (5, 2)

Coordinates of C' → (0 + 4, -5 + 3)

                             → (4, -2)

Now plot these points on the graph.

Find the surface area for the following figures PLease help

Answers

Answer:

RP=190

TP=136

C=1,099

Step-by-step explanation:

RECTANGULAR PRISM, the equation is A=2(wl+hl+hw)

A=5*5+7*5+7*5

A=25+35+35

A=95*2

A=190

TRIANGULAR PRISM, the equation is A=1/2bh for the top and bottom triangles and A=lw for the sides

A=1/2(6)(4)

A=1/2*24

A=12

A=7*5

A=35

A=7*6

A=42

12*2=24

35*2=70

24+70+42=136

CYLINDER, the equation is A=2πrh+2πr2

A=2*3.14(7)(18)+2*3.14(7)^2

A=6.28*126+6.28*49

A=791.28+307.72

A=1,099

The perimeter of a rectangle is 35 cm. The rectangle's area (in sq. cm) as a function of its length (in cm) is graphed.

What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?


Options:
1: 10 1/3
2: 10 2/3
3: 11
4: 11 1/3

Answers

Answer:

2

What is the extract trying to achieve? in The Explorer’s Daughter

A bag contains 4 red, 11 green, and 5 blue balls. The balls are identical in size. A call is drawn at random. What is the probability of the ball being red

Answers

Answer:

/////////////////////////////////////////////

Step-by-step explanation:

////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////lalks

What is the value of this expression? 27+4×(8−4) Enter your answer in the box.

Answers

Answer:

43.

Step-by-step explanation:

Follow PEMDAS (Parentheses, exponents, multiply, divide, add, subtract). First you do 8-4 which is 4, then you multiply 4 by 4 which is 16 since you multiply next, then you add 27 to 16 which then gets you to 43.

8
Which of the following is a composite number between 80 and 100?
OA. 81
OB. 89
OC. 83
OD. 97

Answers

Answer:

OA. 81

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

81 = 9 x 9

81 = 3 x 27

Other Questions
Compute Lead Time Jackson Fabricators Inc. machines metal parts for the automotive industry. Under the traditional manufacturing approach, the parts are machined through two processes: milling and finishing. Parts are produced in batch sizes of 40 parts. A part requires 6 minutes in milling and 8 minutes in finishing. The move time between the two operations for a complete batch is 5 minutes. Under the lean philosophy, the part is produced in a cell that includes both the milling and finishing operations. The operating time is unchanged; however, the batch size is reduced to 5 parts and the move time is eliminated. Determine the value-added, non-value-added, and total lead times, and the value-added ratio under the traditional and lean manufacturing methods. If required, round percentages to one decimal place. Traditional Philosophy Lean Manufacturing Philosophy Value-added time fill in the blank 1 min fill in the blank 2 min Non-value-added time fill in the blank 3 min fill in the blank 4 min Total lead time fill in the blank 5 min fill in the blank 6 min Value-added ratio (as a percent) fill in the blank 7 % fill in the blank 8 % I need to know why was the safe surrender baby law implemented. In order to help her students learn signs, your ASL teacher has offered to employ a technique that many deaf-blind individuals use where she allows students to not only look at her when she signs but also touch and feel what her hands are doing with each sign. What is this an example of?Group of answer choicessign spacetactile signingreasonable accommodationsdialect How did Americans feel about the 1812 war between America and great Britain. PARAGRAPH 126 - Seaward Pines is a d**b school, I blurt. Ill hate it. And I hate Papi, too. PARAGRAPH 127- Roli sighs. Hes quiet for a long while, which makes me uncomfortable. My brother has always been strangely good at reading my mind. Cant he see how awful it felt to be unimportant, to watch Papi stand there like a chump? PARAGRAPH 128- What did you want Papi to do, Merci? Pitch a fit and blow your free ride? PARAGRAPH 129-Without warning, tears spring to my eyes. He pretends not to notice. Instead, he cups my scalp with his enormous hand and gives a squeeze. Try to let this idea into your thick cranium. Papi chose to be invisible today so that you wont ever have to be. QUESTION: What character traits best describes Merci? Use R.A.C.E.C.E to respond. The sides of a rectangle are in a ratio of 7 : 4. If the perimeter of the rectangle is 176 ft, what is the area of the rectangle? The area of the rectangle is Caterpillar Inc. (CAT) pays an annual dividend of $4.45. The company is expected to continue paying this dividend with no future growth in dividends. Investors require 11% rate of return on this investment. What is the current stock value of CAT An owner wants to discount his pizza from $15 to $14.25, how much percent does he need to discount? Subtracting a negative is the same as.... HELP PLISSWhich Trig ratio should be used to find the missing side?A.SinB.CosC.Tan in 1910, for expansion and increased power, what country did japan take overa) koreab) chinac) india This track is made of a rectangle and two semicircles.Find the perimeter of its outer edge, outlined in bold. can someone help me with this question? will give thanks! Edward has a bag filled with green and purple M&Ms. He has a total of 36 M&Ms in the bag. There are 3 purple M&Ms for every 1 green M&M. If he randomly selects one M&M from the bag, what is the probability that it will be green? A concert venue sells 16% of its tickets as reserved seats an upcoming concert sells 8,000 tickets .how many tickets are reserved Help please just write the ratio like #1 300: ? Which linear equation has a slope greater -1 but less than 0?1. 5x+4y=202. 4x+5y=203. 5x-4y=204. 4x-5y=20 10points of doctors are better than farmers 2Canned fruit normally has more calories because of the added sugar.truefalse In a random sample of 60 shoppers 12 said that they only buy products that are on sale. If there are 3000 shoppers at the mall today about how many would you predict only buy items on sale?