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4 years ago

What is the volume of a cylinder that is 40 inches deep and 16 inches in diameter

1 answer:

5 0

In a cylinder
height,h=40inches
diameter,d=16inches
radius,r=16/2
=8inches

so, by formula,

volume,v= πr^2h
=22/7*8*8*40
=8045.71 cubic inches

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In the figure below, AB=AE, AC=AD and AP is perpendicular to BE. Prove that BC=DE.

NISA [10]

Step-by-step explanation:

1) In the figure, as AB is equal to AE, ABE is an equilateral triangle.

As AP is perpendicular to BE

=> AP is the height of the triangle ABE.

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle.

=> P is the midpoint of BE

=> PE = PB

2) In the figure, as AC = AD, so that ACD is an equilateral triangle.

As AP is perpendicular to BE, so that it is perpendicular to CD as well

=> AP is the height of the triangle ACD

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle ACD.

=> P is the midpoint of CD

=> PC = PD

We have:

+) PB = PE

+) PC = PD

=> PB - PC = PE - PD => BC = DE

5 0

3 years ago

For the function f(x)= 3x+7, what is f(3)

Lesechka [4]

The answer will be
f(3)=3(3)+7
=9+7
=16

6 0

3 years ago

Read 2 more answers

What is the answer for this problem

STALIN [3.7K]

588, (16-4/2)= 14
(14) square 2= 196
196•3= 588
:3

5 0

3 years ago

Its a multiple choice please answer.

Tatiana [17]

Answer:

Last option (1/2)^3 = .125

Step-by-step explanation:

1/2 (1.035)^5 =0.579637

(2/3)^2 = 4/9 = .4444

.2^2/.3^2 = 0.04/0.09 = .44444

(1/2)^3 = 1/8 = .125

So we can clearly see the last one as the answer

8 0

3 years ago

The amount of saturated fat in a daily serving of a particular brand of breakfast cereal is normally distributed with mean 25 g

Soloha48 [4]

Answer:

a) $\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

$\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730)$

b) $z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739$

And using the normal standard distribution table and the complement rule we got:

$P(z>2.739) =1- P(z$

Step-by-step explanation:

From the info given if we define the random variable X as "amount of saturated fat in a daily serving of a particular brand of breakfast cereal " we know that the distribution of X is given by:

$X \sim N(\mu =25, \sigma =4)$

Part a

For this case the sample size would be n =30 and then the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

$\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730)$

Part b

We want to find this probability:

$P(\bar X >27)$

And we can use the z score formula given by:

$z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739$

And using the normal standard distribution table and the complement rule we got:

$P(z>2.739) =1- P(z$

3 0

3 years ago