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vlada-n [284]
3 years ago
10

Find the surface area of a cone that has a slant height of 6 inches and a base with a diameter of 3 inches.

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

Step-by-step explanation:

radius r = 1.5 in

slant height ℓ = 6 in

lateral area LA = πrℓ

                     = π(1.5)(1.5)

                     = 2.25π

                  ≅ 7.07 in²

base area BA = πr²

                    = π1.5²

                  ≅ 7.07 in²

 

surface area SA = LA + BA

                       = 7.07 + 7.07

                  ≅ 14.14 in²

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2 years ago
the combined area of two squares is 45 square cm. each side one square is twice as long as a side of the other Square. what is t
anygoal [31]
6 centimeters



x will represent the side length of the smaller square, so 2x is the side length of the bigger square.

x*x + 2x*2x = 45

x^2 + 4x^2 = 45

5x^2 = 45

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sqrt(x^2) = sqrt(9)

x = 3

2x = 6 (Multiply by 2)



Please consider marking this answer as Brainliest to help me advance.
4 0
3 years ago
What is 1/10 of 3,000?
riadik2000 [5.3K]
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5 0
3 years ago
Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

8 0
3 years ago
Read 2 more answers
Please answer!!
Liula [17]

Answer first three words

Step-by-step explanation:

8 0
2 years ago
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