Find the volume of each shape. Round your answer to two decimal places.with clear explanation.
Answers
Answer:
Volume = 111.33 in.³
Step-by-step explanation:
The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part
✔️volume of the rectangular prism part:
V = L*W*H
Where,
L = 5.1 in.
W = 3.4 in.
H = 5.9 in.
V = 5.1*3.4*5.9
V = 102.306 in.³
✔️volume of the triangular prism part:
V = ½*b*h*l
b = 6 - 5.1 = 0.9 in.
h = 5.9 in.
l = 3.4 in.
V = ½*0.9*5.9*3.4
V = 9.027 in.³
✅Volume of the shape = 102.306 + 9.027
= 111.333 in.³
≈ 111.33 in.³ (approximated to 2 decimal places)
Related Questions
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A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
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Choose two correct answers.
(5)(3)(9)
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Answer:
the first one and the second
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.
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Which property was applied in this step?
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Multiplication Property of Equality
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A student needs 12 minutes to solve an algebra problem how many minutes does the student need to solve 6 problems
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Answer:
72
Step-by-step explanation:
12 * 6 = 72
of course, IRL not every problem takes the same amount of time
Answer: if they are all algebra questions then 72
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12= 70
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Answer:
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Step-by-step explanation:
from the graph
Answer:
Step-by-step explanation:
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In how many ways can the digits in the number 7,555,111 be arranged?
Answers
Answer:
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Step-by-step explanation:
That's the answer below
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What is the length of the side of the base?
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Answers
Will has a book that he wants to read that book is 36 chapters long if he reads 3 chapters a day how many days will it take Will to read the whole book?
Answers
Answer:
It will take Will 12 days to read the whole book.
Step-by-step explanation:
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= 12
:))
36 ➗ 3 = 12
12 days .........
For a whole life inurance on (x), you are given the following:
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• μ(t)=0.02,t≥0
• δ = 0.08
• bt =e0.03t,t≥0 Calculate Var(Z).
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9514 1404 393
Answer:
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The equation y = 8x means the value given for x is multiplied by 8.
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In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
Answers
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
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(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
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Find the value of x. Leave your answer in simplest radical form.
Answers
F(x)<0 over (- infinity, -3) and what other interval? (-2.4,-1.1)
Answers
Answer:
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Answer:
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Step-by-step explanation:
Find the area of the sector in
terms of pi.
270°
12
Area = [?]
Answers
Answer:
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Step-by-step explanation:
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Answers
Answer: -12
Step-by-step explanation:
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3(-8) - 2(4) - 9(-2) + 2 = N
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II. Which of the following is a solution of
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A 0.10
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D 0.30
Answers
Answer:
A 0.10
Step-by-step explanation:
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[tex]25m = 2.5[/tex]
Passing 25 to the right side of the equality, doing the inverse operation(division).
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Answer:
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Step-by-step explanation:
Answer:
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Answers
Answer:
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QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
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Step-by-step explanation:
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Answers
Answer:
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In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE
Answers
Answer:
x = 3
Step-by-step explanation:
Given :
AE = 3, EB = 4, CE = x, and ED = x +1,
Equating chord AB and CD
AE*EB = CE*ED
3*4 = x*(x+1)
12 = x² + x
x² + x - 12 = 0
x² +4x - 3x - 12 = 0
x(x + 4) - 3(x + 4)
(x + 4) = 0 or (x - 3) = 0
x = - 4 or x = 3
Distance can't be negative :
x = 3
If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
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Answers
9514 1404 393
Answer:
largest: 1024 m²smallest: 0 m²Step-by-step explanation:
The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.
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__
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Answers
Answer:
y=3x-2
Step-by-step explanation:
Phương trình có dạng: ax+b=y
Chọn 2 hàng bất kì để tạo thành một hệ phương trình 2 ẩn, ta có:
-2a+b=-8 và –a+b=-5
Giải hệ phương trình ta được a=3, b=-2
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Answers
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If the triangle shown in the diagram is dilated by a scale factor of 1 / 2
What will be the area of the resulting triangle?
A) 1.5 units²
B) 3 units²
C) 6 units²
D) 12 units²
Answers
Answer:
1.5 units^2
A
Step-by-step explanation:
AB (the base) = 4 - 1 = 3
AC (the height) = 5 - 1 = 4
Area = 1/2 * b * h
Area = 1/2 * 4 * 3
Area = 6 units^2
Now when you dilate it by a factor or 1/2, it means that each dimension is multiplied by 1/2.
So AB becomes 1.5
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Be careful with this. Be sure that you understand that it is the sides making up the triangle that get cut in 1/2 and not just the area.
[tex]xy = 3xy + 25 \\ 3 = y - 20[/tex]
solve for x andy
Answers
Answer:
x= -0.5
y= 23
Step-by-step explanation:
3=y-20 so y= 23
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a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?
Answers
Answer:
[tex]f(20) =3.25[/tex]
Step-by-step explanation:
Given
[tex]f(m) = 1.25 + 0.10m[/tex]
Required
[tex]f(20)[/tex]
We have: [tex]f(m) = 1.25 + 0.10m[/tex]
Substutute 20 for m
[tex]f(20) =1.25 + 0.10*20[/tex]
[tex]f(20) =1.25 + 2[/tex]
[tex]f(20) =3.25[/tex]