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Olin [163]
2 years ago
11

Find the volume of a cone with a base radius of 3 cm and a height of 9 cm

Mathematics
1 answer:
katovenus [111]2 years ago
5 0

The volume of a cone is 84.78 cm                

<u>Step-by-step explanation</u>:

<u>Given</u>:

radius = 3 cm and

height = 9 cm

<u>To Find</u>:

The Volume of a Cone

<u>Formula</u>:

The Formula for the volume of a cone is

V=πr2 *h/3

<u>Solution</u>:

V=πr2 *h/3

π value is 3.14

V= 3.14*(3)^2*9/3

V=3.14*9*3

V= 84.78 cm

Therefore the volume is 84.78 cm.

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Please help!!
rusak2 [61]
ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{1,2,4,5,10,20}

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{1,2,3,4,5,6,7,8,9,10}

and the set P also has elements

{2,4,6,8,10}

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{1,3,5,7,9}

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation

d=|130-25t|

If the is 15 feet away then d=15

This implies that;

15=|130-25t|

We now split the absolute value sign to obtain,

15=130-25t

or

-15=130-25t

We now solve for t to obtain;

15-130=-25t

or

-15-130=-25t

\frac{115}{25}=t

or

\frac{145}{25}=t

This gives us

4.6=t

or

5.8=t

The correct answer is C

ANSWER TO QUESTION 4

Given

P={0,1,2,3,4,56,7,8,9}

and

V={2,4,6,810,1216,18,20}

P\capV={2,4,6,8}

P\V are  elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.


Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball

350-250=100

But the number of people who play baseball

120+100=220

see diagram

7 0
2 years ago
In the following diagram \overline{DE} \parallel \overline{FG}
Gnesinka [82]

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

m<BAC + 149° = 180°

m<BAC = 180° - 149°

m<BAC = 31°

<x = <BAC (vertical angles)

m<x = 31° (substitution)

7 0
2 years ago
The angle of elevation to the top of a 20-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro
spin [16.1K]
<span>Height of the skyscraper to the nearest hundredth foot
= 5280 Tan(2)
= </span>184.38
7 0
2 years ago
Read 2 more answers
A certain temperature measurement is performed 500 times. The mean value is 0 deg F and the standard deviation is 1 deg F. Assum
egoroff_w [7]

Answer:

477

Step-by-step explanation:

Given that:

Number of trials (n) = 500

Mean (m) = 0

Standard deviation (s) = 1

how many readings fall within +/- 2.000 deg F of the mean value

Mean of 0 and standard deviation of 1

P(-2 ≤ x ≤ 2)

Using the Z probability calculator :

P(x ≤ 2) = 0.97725 ;

P(x ≤ - 2) = 0.02275

Hence :

P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545

Hence, number of readings in 500 trials:

0.9545 * 500 = 477.25

= 477 values

6 0
1 year ago
Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's profit 3 days later. Write a fun
Andru [333]

Complete Question

Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.

Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.

Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

Write a function formula for p using the function s

Answer:

The function formula for p using the function s is p(x) = 1.9s(x)

Step-by-step explanation:

Given

p(x) = Primo Pizza's profit (in dollars) x days after June 1.

s(x) = Pizza Supreme's profit (in dollars) x days after June 1.

It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

This implies that

p(x) = 1.9*s(x)

So, p(x) = 1.9s(x)

Hence, the function formula for p using the function s is p(x) = 1.9s(x)

6 0
2 years ago
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