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2 years ago

Which expression represents the lateral surface area of the cone?

Mathematics

1 answer:

Brrunno [24]2 years ago

3 0

Answer:

Option "3" is the correct answer to the following question:

Step-by-step explanation:

Given:

Radius of cone (r) = 6 centimeter

height of cone (h) = 8 centimeter

slant height of cone (l) = 10 centimeter

Find:

Lateral surface area of the cone = ?

Computation:

⇒ Lateral surface area of the cone = $\pi$ rl

⇒ Lateral surface area of the cone = $\pi$ (6 centimeters) (10 centimeters)

⇒ Therefore, option "3" is the correct answer.

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Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of gro

frosja888 [35]

Consider the function f ( x ) = 2479 ⋅ 0.9948x First compare this with f ( x ) po ( 1 + r ) ^ 2 We get po = 2479 And 1 + r = 0.9948 = 1 – 0.0052 r = -0.0052 < 0 Therefore, f is an exponential decay function with a decay rate of 0.0052 x 100 = 0.52%

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2 years ago

A 90 k g shopper is standing on an escalator that makes a 25 ∘ incline with the horizontal. The escalator carries the shopper to

Nitella [24]

Answer:

W= 27 k J

Step-by-step explanation:

Given that

mass ,m = 90 kg

Height , h= 30 m

angle , θ = 25°

The work done by escalator is given as follows

W = m g h

Work done by escalator does not depends on the angle ,it depends only on height.

Now by by putting the values in the above equation we get

W= 90 x 10 x 30 J ( take g = 10 m/s² )

W= 27000 J

W= 27 k J

Therefore work done by escalator will be 27 k J.

8 0

2 years ago

The baker pays $0.80 per pound for sugar and $1.25 per pound for butter. Write an expression that shows how much the baker will

alekssr [168]

X is sugar
y is butter
z is total money

$0.80x + $1.25y = z

the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.

5 0

2 years ago

Read 2 more answers

Mr robbins earns a commission on each airfare he books. At the end of the day,he had booked $208.60 worth if airfare and earned

LenKa [72]

Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

Mr robbins earns a commission on each airfare he books.

At the end of the day,he had booked $208.60 worth if airfare and earned $31.29.

Here

Part value = $31.29

Total value = $208.60

Put in the formula

$Percentage = \frac{31.29\times 100}{208.60}$

$Percentage = \frac{312900}{20860}$

Percentage = 15%

Therefore the Mr. Robins commision rate is 15%.

4 0

2 years ago

An ad agency is developing a campaign to promote a business opening in a new mall development. To develop an appropriate mailing

Ipatiy [6.2K]

Answer:

The answer is 1/3 or 0.33

Step-by-step explanation:

Let's consider the following ocurrences:

A: A person has a MasterCard

B: A person has an American Express

The data says:

P(A∩B) = 0.2

P(A without B) = 0.4

P(B without A) = 0.1

Then, P(A) = P(A∩B) +P(A without B) = 0.2+0.4 = 0.6

By conditional probability theory:

P (B/A) = P(A∩B) / P(A) = 0.2 / 0.6 = 1/3 = 0.33

Thus

P(B/A) = 1/3 = 0.33

6 0

2 years ago