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

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:

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Step-by-step explanation:

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

Find the missing exponent. 2 =8

Answers

Answer:

2^3=8

Step-by-step explanation:

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

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.

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

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

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]

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.

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

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)

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

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

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

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

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.

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)

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]

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

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

Answers

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

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!

HELPP PLZZZ ITS DUE NOW

Answers

she can buy 10 cases

Step-by-step explanation:

200-159= 61

61÷5.99 = 10.1

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

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

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]

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

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:

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:

Solve: 3x + 12 = 39
hurry plzzzz

Answers

Answer:

x=9

Step-by-step explanation:

Pretty self explanatory.

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

Answers

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

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

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