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Nesterboy [21]
3 years ago
11

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

Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer: A rectangle

Note: I am a bit confused between A), B), and C), but the answer I am going for is C).

Step-by-step explanation:

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

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

If a plane perpendicular cuts the pentagonal prism 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.

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A college writing seminar increased its size by 50\PP, percent from the first to the second day. If the total number of students
Jobisdone [24]

Answer: There were 10 students in the class on the first day.

Step-by-step explanation:

Let x be the number of students of the first day.

Given: A college writing seminar increased its size by 50 percent from the first to the second day.

i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)

= x +50% of x

= x+0.50x

= (1.50)x

=1.50x

Since, it is given that  the total number of students in the seminar on the second day was 15.

i.e. 1.50x=15

\Rightarrow\ x=\dfrac{15}{1.5}\Rightarrow\ x=\dfrac{150}{15}\\\\\Rightarrow\ x=10

Hence, there were 10 students in the class on the first day.

7 0
3 years ago
cynthia has 32 pumpkins growing in her garden. twenty of them are ripe. what percentage of Cynthia's pumpkins are ripe
Mashutka [201]

Answer:

62.5

Step-by-step explanation:

8 0
3 years ago
What is the length of AC?<br><br><br> 3 ft<br><br> 4 ft<br><br> 9 ft<br><br> 18 ft
iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

\frac{BM}{BA}=\frac{MN}{AC}

\frac{BM}{BM+MA}=\frac{MN}{AC}

\frac{4}{4+4}=\frac{9}{AC}

\frac{4}{8}=\frac{9}{AC}

4AC=72\implies AC = 18\text{ ft}

Thus, The length of AC is 18 ft.

5 0
3 years ago
Read 2 more answers
True or false all points in quadrant 2 has a negative (x) value
ladessa [460]

Answer:

False, quadrant two has both negative and positive values.  

Hope I helped. Good luck on the assignment!

Step-by-step explanation:


4 0
3 years ago
In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
Nataly_w [17]

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

LOL

7 0
2 years ago
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