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geniusboy [140]
4 years ago
13

A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed? A. a pent

agon with one pair of equal sides B. a trapezoid with one pair of parallel sides C. a rectangle D. a triangle E. a hexagon
Mathematics
2 answers:
snow_lady [41]4 years ago
7 0

Answer:

The real answer is a PENTAGON on usatestprep!

Step-by-step explanation:

The plane is parallel to the base of the pentagonal pyramid and the base is a PENTAGON.

iris [78.8K]4 years ago
6 0

Answer:  C. A rectangle.

Step-by-step explanation:

1. By definition, a cross section is the intersection of a plane and a body of three dimensions.

2. A pentagonal prism has a pentagon as its base and its lateral faces are rectangles.

3. If the pentagonal prism is cut by a plane perpendicular to the base, this means that the plane is parallel to lateral faces, then,  the shape of the cross section that is formed is also a rectangle.

4. The answer is the option C.

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A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi
Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

Occupied\ Seats = \frac{5}{9} * 270

Occupied\ Seats = \frac{1350}{9}

Occupied\ Seats = 150

Next is to determine the number of seats occupied by concessionary ticket holders.

Number = 40\%\ of\ occupied\ seats

Number = 40\%\ of\ 150

Convert percentage to decimal

Number = 0.4 * 150

Number = 60

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0
3 years ago
Gabe made a rectangular sandbox for his brother to play in. Gabe wants to paint only the sides of the sandbox. A prism has a len
alukav5142 [94]

Answer: The surface area of the sides of the sandbox that Gabe wants to paint is 47ft2

Step-by-step explanation:

Hi to answer this we have to apply the formula:

Surface Area of a rectangular prism = 2lw + 2wh + 2lh

Where:

l= length

w= width

h= height

Since the sandbox is open , it has one less surface (length x width), we have to add only one lw term.

Surface Area of the sandbox = lw + 2wh + 2lh

A = (4x5) + 2( 5x1.5) + 2( 4x1.5)

A = 20+15+12

A= 47 ft2

4 0
4 years ago
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Vesna [10]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
The change in the value of an account when given to the nearest dollar ? Identify the set of numbers that best describes .
AveGali [126]
When an account is rounded off to its nearest dollar will change based on the place value. For example, the given account of money if $ 56 730, then it will be rounded to its nearest ten thousands. Then the given amount will be rounded to $57,000 in where the given money rounded up and gain up to $300. But if the money will be rounded with its nearest hundreds, the money will become $ 56,700. Notice that the given money rounded down and lost $30 dollars.



7 0
3 years ago
Question 1
ASHA 777 [7]
Question 1 Simplify the following expression: (5x2 + 3x + 4) − (2x2 − 6x + 3). If the final answer is written in the form Ax2 + Bx + C, what is the value of B?

Solution:

5x^2 + 3x + 4 - 2x^2 + 6x - 3 = 3x^2 + 9x + 1

Then, B = 9

Question 2
Simplify: (3x2 − 2) + (2x2 − 6x + 3)

5x2 − 6x + 1

5x2 − 6x − 1

x2− 6x + 1

5x2 − 8x + 3

Solution:

3x^2 - 2 + 2x^2 - 6x + 3 = 5x^2 - 6x + 1

Question 3
A sports company conducted a road test of a new model of a geared bike. The test rider cycled (3x - 2) miles on a flat road, (x2 - 5) miles uphill, and (2x + 7) miles downhill. Which simplified expression is equivalent to the total distance, in miles, for which the bike was tested?

x2 - x

x2 + 5x

x2 − x + 14

x2 + 5x + 14

(3x - 2) + (x2 - 5) + (2x + 7) = 3x - 2 + x^2 - 5 +2x + 7 = x^2 + 5x

Question 4
Simplify: (4x − 6) − (5x + 1)

x + 7

−x + 7

x − 7

−x − 7

(4x − 6) − (5x + 1) = 4x - 6 - 5x - 1 = -x -7

Question 5
Simplify the following expression: (x + 6y) - (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A?

(x + 6y) - (3x − 10y) = x + 6y - 3x + 10y = -2x + 16y

A = -2

Question 6
Simplify: (3x − 5) + (3x + 6)

6x − 1

1

6x − 11

(3x − 5) + (3x + 6) = 3x - 5 + 3x + 6 = 6x + 1


6 0
4 years ago
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