A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1. 7 units. A rectangular prism with a square base is cut out of the center of a triangular prism. The triangular prism has base lengths of 5 and 4 units and a height of 5. 7 units. The rectangular prism has sides lengths of 1. 7 and 4 units. What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11. 6 units3 45. 4 units3 57. 0 units3 68. 6 units3.

Answers

Answer 1

The volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³

The given diagram is made up of a rectangular prism and a triangular prism.

The volume of the shaded region = Volume of triangular prism - Volume of a rectangular prism.

Volume of triangular prism Vt = BH/3

Base area B = 0.5(5.7)(5)

Base area B = 14.25units²

Height = 4 units

Vt = 14.25 * 4

Vt = 57units³

Volume of the rectangular prism = l²h

Volume of the rectangular prism Vr = 1.7 * 1.7 * 4

Vr =  11.56units³

Volume of the shaded solid = Vt - Vr

Volume of the shaded solid = 57units³ - 11.56units³

Volume of the shaded solid = 45.4units³

Hence the volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³.

Learn more on the volume of prisms here: https://brainly.com/question/12716590

A Rectangular Prism With A Square Base Is Cut From The Center Of A Triangular Prism. Each Side Of The
Answer 2

Answer:

B

Step-by-step explanation:


Related Questions

can someone help me do this and show work​

Answers

Answer:

Bank A: 24 years, Bank B: 28 years

Step-by-step explanation:

Graph y > 1 -3x
A
B
C
Or D

Answers

Answer:

D (You got it right.)

Step-by-step explanation:

Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.

Write equation of the line containing (-3,4) and (-1,-2)

Answers

Answer:

y=-3x+1

Step-by-step explanation:

Answer:

It will be the last one.

Step-by-step explanation:

1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______

Answers

2 7.5
That’s all that I could do I hope it help

Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.

Answers

Answer:

it is not

Step-by-step explanation:

0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333

If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.

Answers

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.

This year spending's is of 141.7 billion, hence, the equation is:

[tex]0.959x = 141.7[/tex]

[tex]x = \frac{141.7}{0.959}[/tex]

[tex]x = 147.8[/tex]

$147.8 billion was spent on television advertising in the previous year.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

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x + 10 = - x + 28

Answers

Step-by-step explanation:

2x = 18

Divide both sides by 2

x = 9

Need help !!!!!!!!!!!!!!!!!!!

Answers

rectangle. it’s a 2d 4 sided shape with 2 sets of parallel sides

Select all relations that represent function

Answers

Answer: All of the them except for the last relation.

Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test  and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.

Hope this explanation helps.

plz help me!!!!!!!!!!!!!!!

Answers

Answer:

Go up 2, then over negative 6

Step-by-step explanation:

the (x) is 2 and the (y) is -6.

2.03x13 using standard algorithm

Answers

It came 26 by above calculation.

Ok done. Thank to me :>

Help me please!! I don’t understand

Answers

Answer:

Step-by-step explanation:

ax + b = c solve for x

Answers

Rearrange for x.

c-b=ax

x=(c-b)/a

write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

parallel means it stays the same so its still 2/3

now use the equation y=mx+b

plug in the slope which is 2/3

so we get y=2/3x+b

then plug in the 2 points

1= 2/3(−3)+b

1=-6/3+b

1=-2+b

add 2 to 1 and -2

3=b

so we get y=2/3x+3

The quotient of triple a number less four and five equals two. What is the number?

Answers

Answer:

14/3

Step-by-step explanation:

The quotient of triple a number less four and five equals two. What is the number?

"triple a number" means 3x, if we say x is the "number"

"triple a number less four" means (3x-4)

"quotient of [triple a number less four] and five equals two." means

(3x-4)/5 = 2

3x-4 = 10

3x = 14

x = 14/3

===

Does ((14/3)3 - 4)/5 = 2 ???

(14 - 4)/5

10/5 = 2                         YES

What is the number?

what does the quantity 28-8 represent?

Answers

You question implies simple subtraction is needed:

28-8=20

Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.

Answers

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

and that we use in the second equation

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she was working 14 hours on job A and 9 hours on job B.

Answer:

she is rich

Step-by-step explanation:

--
△XYZ = △KLM,m Find m

Answers

Answer:

<m is equal to the measure of <Z

_______________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning form them:)

Please help me will name brainliest!!!!

Answers

Answer:

74/17 = 4.35

Step-by-step explanation:

The first triangle is 74 and the second triangle is 17, so you divide 17 by 74 to get 4.35294 which rounds to 4.35

Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.

Answers

Step-by-step explanation:

the slower plane traveled x miles in 4 hours.

the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.

so,

x + x + 320 = 3800 miles

2x =3480 miles

x =1740 miles (in 4 hours) .

that means the slower plane's speed was 435 mph.

and the faster plane's speed was 435 + 80 = 515 mph.

helpppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

18/66 (or 27%)

Step-by-step explanation:

6/11 chance of pink and 3/6 chance of odd number

6/11 * 3/6 = 18/66

72% of ______ days is 18 days.

Answers

Answer:

25 days

Step-by-step explanation:

lets the blank = x

Convert 72% to decimal: 0.72

0.72x = 18

x = 18/0.72

x = 25

-Chetan K

D(3, 6), E(-4,-3), F(6, 1) and
D'(1, 6), E'(8, -3), F(-2, 1)

Answers

Answer:

d

Step-by-step explanation:

I really need help! Please, please, PLEASE do not give me a link.


Last year, Kristen read a total of 30 fiction and non-fiction books. The number of non-fiction books was 5 less than 4 times the number of fiction books.

What is the total number of FICTION books that Kristen read last year?

A. 5
B. 7
C. 23
D. 25

Answers

Answer:

7 fiction and 23 non- fiction

Step-by-step explanation:

The number of non-fiction read was 5 less than 4 times the number of fiction books.

Assume fiction books are x.

An equation representing this would be:

x + (4x - 5) = 30

5x - 5 = 30

5x = 30 + 5

x = 35 / 5

x = 7 fiction books

Non-fiction books:

= 4x - 5

= 4 * 7 - 5

= 23 non - fiction books

An admission ticket costs $7.50 with a 5.75% tax.

Answers

Answer:

Step-by-step explanation:

I’m not 100% sure that it’s the correct answer but this is what my calculator gave me

Tutorial
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this
data, how many of the next 12 shirts sold would you expect to be gray?
shirts

Answers

4 shirts would be gray

Solve for the value of R.
PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!!

Answers

Answer:

r=20°

Step-by-step explanation:

Because the whole angle is 180°, you can make an equation.

105+(4r-5)=180

4r-5=75

4r=80

r=20

Give the other person brainliest ;)

Question 3 of 10
Which symbol would best replace the question marks below?
17? 33 ? 59 ? 63 ? 87? 92
A. =
B. <
C. >
SUBMIT

Answers

Answer:

B. <

Step-by-step explanation:

Each number in the sequence is greater than the previous number so the correct answer is b. <

Find the area of the rhombus

Answers

A=pq
2 aria rombusului după volum este pq2 cea a unghiului este împărțită cu 2 care este pq=x pătrat

For the function F defined by F(x)=x2−2x+4, find F(2b−1).

Answers

Answer:

F(2b-1)=4b^2-8b+7

Step-by-step explanation:

F(x)=x^2-2x+4

F(2b-1)=(2b-1)^2-2(2b-1)+4

F(2b-1)=4b^2-8b+7

[tex]f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\[/tex]

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