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mezya [45]
2 years ago
14

A plane, parallel to the base of a cone intersects the cone at the midpoint between points A and B. Determine the area of the cr

oss-section formed by the intersection of the plane and the cone. Leave your answer in terms of pi. 2o height 6 radius
A) 1.5π in2
Eliminate
B) 3π in2
C) 9π in2
D) 36π in2
Mathematics
2 answers:
maksim [4K]2 years ago
8 0

Answer:

Area of cross-section is 9\pi in^{2}

Step-by-step explanation:

Given a cone and a plane parallel to base intersect the cone at the mid point of points between A and B.

We have to find the area of cross-section formed by intersection of the plane and the cone which is a new circle formed.

Given,   height=20 in

             radius=6 in

By mid point theorem i.e the line segment formed by joining the mid points of two side of triangle is parallel to third equal to half of the third side.

therefore new circle formed is of radius 3 in

Hence, area of cross-section formed by intersection of the plane and the cone which is a new circle formed= \pir^{2}

                                                        = 3^{2}\pi

                                                        = 9\piin^{2}


IRINA_888 [86]2 years ago
3 0
Given that point of intersection is at halft ot the heigth, by similarity of triangles, the radius is halft of 6 in, i.e 3 in.

The the area is Pi*r^2 = Pi*(3in)^2 = Pi*9 in^2 = 9Piin^2

This is option C)
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bazaltina [42]

Answer:

11.) 10w^2 + 43w + 21.

12.) -15y^2 - 2y + 8

Check the explanation for details

Step-by-step explanation:

11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w

Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,

Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21

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12.) Repeat the same process by multiplying row by column.

Multiply -3y by 5y and 4 you will get -15y^2 and -12y.

Also, multiply 2 by same 5y and 4. You will get 10y and 8

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2 years ago
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8 0
3 years ago
what is the result of dividing 48a^3 + 32a^2 + 16a by 4a? A. 12a^2 + 8a + 4 B. 12a^2 + 4a + 8 C. 12a + 8 D. 12a^2 + 4a + 4 Simpl
lora16 [44]

Answer:

1. A. 12a^2 + 8a + 4

2. C. 4xy+16x-4y^2-16y

3. C. 64q^6r^8s^4

4. A. -4x^4y^6

Step-by-step explanation:

48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.

So, the answer is A. 12a^2 + 8a + 4.

(2x-2y)(2y+8) = 4xy - 4y^2 + 16x -  16y.

So, the answer is C. 4xy+16x-4y^2-16y.

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So, the answer is C. 64q^6r^8s^4.

-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.

So, the answer is A. -4x^4y^6.

Hope this helps!

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Answer:

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3% = 0.03.

0.03 x 1000 is $30.

You earned $30 in interest.

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