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n200080 [17]
4 years ago
9

What is the surface area of the figure shown? (Use 3.14 for π.)

Mathematics
1 answer:
Ivanshal [37]4 years ago
4 0
We know that
Part 1) 
[surface area of a cone without base]=<span>π*r*l
r=3 in
l=slant height ----> 6 in
</span>[surface area of a cone without base]=π*3*6------> 56.52 in²

[surface area of a cylinder]=π*r²+2*π*r*h------> only one base
r=3 in
h=5 in
[surface area of a cylinder]=π*r²+2*π*r*h
[surface area of a cylinder]=π*3²+2*π*3*5-----> 122.46 in²

[surface area of the composite figure]=56.52+122.46-----> 178.98 in²

the answer Part A) is
 178.98 in²

Part B) 
[surface area of the composite figure]
=12*16+2*12*7+2*16*7+5*12+5*16+13*16----> 932 ft²

the answer Part B) is 
 932 ft²



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larisa [96]

Answer:

Step-by-step explanation:

Given that at time t, the position of a body moving along the​ s-axis is sequalsnegative t cubed plus 15 t squared minus 72 t m

i.e. s(t) = -t^3+15t^2-72 t

Velocity is nothing but s'(t) = derivative of s

and acceleration is s"(t) = derivative of v(t)

v(t) = -3t^2+30t-72\\=-3(t^2-10t+24)\\= -3(t-6)(t-4)

a) v(t) =0 when t = 4 or 6

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a(t) =0 when t =5

c) Distance travelled by the body from 0 to 5 would be

s(5)-s(0)\\= -5^3+15(5^2)-72(5)\\= -125+375-360\\=-110

i.e. 110 miles (distance cannot be negative)

3 0
3 years ago
Create a ratio table for making lemonade with a lemon juice to water of ratio of 1:3 show how much lemon juice would be needed i
Ganezh [65]

There is 1 serving of lemon juice to 3 cups water. Hence why it's 1:3 ratio.

Since it's 1:3, then 2 servings to 6 cups of water, so on and so forth.

Multiply your lemon juice servings by 3 to find out how many cups of water for the table.

To find how much lemon juice for 36 cups of water, just divide 36 by 3 to get 12. 12 servings of lemon juice is just right for your 36 cups of water.

8 0
3 years ago
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The weight of a puppy is 1.6 kg and the weight of a kitten is 750 g. What is the difference in their weights (measured in g)?
goldfiish [28.3K]
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So 1.6x1000=1600

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6 0
2 years ago
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A hotel is in the shape of a​ cylinder, with a circular foundation. the circumference of the foundation is 4 times the​ radius,
Marat540 [252]
Let
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we know that
in this problem-----> <span>the circumference of the foundation is 4 times the​ radius, increased by 114 ft
</span>so
C=4*r+114------> equation 2
(1)=(2)
2*pi*r=4*r+114------> 2*pi*r-4*r=114-----> r*[2*pi-4]=114---> r=114/[2*pi-4]
r=114/[2*pi-4]-----> 50 ft

the answer is
r=50 ft

3 0
3 years ago
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4 0
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