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Crank
3 years ago
12

PLEASE I NEED HELP!!!! What is the type of two-dimensional solid created by a vertical cross section of the cone that passes thr

ough the apex? What is the area of the cross section?
triangle; area = 45 ft2

triangle; area = 90 ft2

circle; area = 36π ft2

circle; area = 144π ft2

Mathematics
2 answers:
slava [35]3 years ago
4 0

Answer:

triangle; area = 90 ft2

Step-by-step explanation:

THe type of two dimensional solid created by a vertical cross section of the cone that passes through the apex is a triangle, as you can see in the picture, if you draw a line that cuts the cone in half passing through the apex it would just be a triangle, and the area of the cross section is given by the formula:

a=\frac{b*h}{2}

Since you have the radius of the base of the cone, you need the diameter to calculate the area, the diameter is given by the next formula:

D=2r

D=2(6)

D=12

Now you just put your values into the formula of the triangle:

a=\frac{(12)(15)}{2}

a=\frac{(180}{2}

a=90

So the area of the triangle formed is:

90ft^{2}

kati45 [8]3 years ago
4 0

Answer:

B

Step-by-step explanation:

correct on ed2020

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The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol
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the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

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Since V = 4200 ft.³  and W = 4800 pounds,

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x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

2x + 4y = 84

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Substituting y into (1), we have

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So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

brainly.com/question/24559594

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