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2 years ago

A cone has same volume with a cylinder which is 5 cm high. If they have same area of the

Mathematics

1 answer:

NISA [10]2 years ago

3 0

Answer:

Step-by-step explanation:

Remember, the formulas for the lateral surface area of a pyramid is 12pl and the total surface area is 12pl+B .

Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder.

So, the formula for the lateral surface area of a right cone is L.S.A=πrl , where l is the slant height of the cone.

Find the lateral surface area of a right cone if the radius is 4 cm and the slant height is 5 cm.

L.S.A=π(4)(5)=20π≈62.82 cm2

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Timothy purchased a computer for $1,000.

scoundrel [369]

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

The rate of growth or decay, r, is equal to

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

$V(x) = V(0)(1-r)^x$

In which V(0) is the initial value and r is the decay rate. So

$V(x) = 1000(1-0.2)^x$

$V(x) = 1000(0.8)^x$

We want to find x for which V(x) = 512. So

$V(x) = 1000(0.8)^x$

$512 = 1000(0.8)^x$

$(0.8)^x = \frac{512}{1000}$

$(0.8)^x = (0.512)$

Applying log to both sides:

$\log{(0.8)^x} = \log{(0.512)}$

$x\log{0.8} = \log{(0.512)}$

$x = \frac{\log{0.512}}{\log{0.8}}$

$x = 3$

So it will take 3 years.

6 0

2 years ago

A race car moving along a circular track has a centripetal acceleration of 15.4^2. If the car has a tangential speed of 30 what

Dominik [7]

In uniform circular motion (circular motion at same speed), (tangential velocity)^2/radius = acceleration towards the center of the circle (centripetal acceleration)
Also, radius is the distance to the center of the circle (track). 
So, in your case, 15.4m/s^2 = (30.0m/s)^2/(radius) 
radius = (900.m^2/s^2) / (15.4m/s^2) 
radius = 58.4m

8 0

3 years ago

Read 2 more answers

A dinner plate has a circumference of 119.32 cm. What is the area of the dinner plate? Use = 3.14.

sergejj [24]

119.32 = 2 x 3.14 x r
r = 19cm

area = 3.14 x 19^2
= 1133.54cm2

4 0

3 years ago

What is the product of −214 and 212?

Nana76 [90]

-45368

-214*212

This is as simplified as it can be.

7 0

3 years ago

Read 2 more answers

A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 95% sure that he

inn [45]

Answer:

The sample size is 183.

Step-by-step explanation:

Given:

σ = $1050, ppulatin standard deviation

99% confidence interval

Accuracy = +/- $200

The accuracy is given by

z*(σ/√n)

where

z* = 2.576 for 99% confidence level (from tables)

n = sample size

Therefore

2.576(1050/√n) = 200

√n = (2.576*1050)/200 = 13.524

n = 182.9

The sample size is 183

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6 0

3 years ago