Why is the volume of a cone 1/3 the volume of a cylinder if the height and the radius are equal

Answers

Answer 1

Answer:

Step-by-step explanation:

88

Related Questions

HELP! I HAVE NO IDEA HOW TO DO IT <3​

Answers

Answer:

TY

Step-by-step explanation:

Nice

Thanks for the free Poi nts!

Which is not a characteristic of an exponential parent function?
O A. It passes through (0,1).
O B. The domain is all real numbers.
O C. It goes through the origin.
O D. The range is positive real numbers (y > 0).

Answers

Given:

The characteristic of an exponential parent function in the options.

To find:

Which is not a characteristic of an exponential parent function?

Solution:

The exponential parent function is:

[tex]y=b^x[/tex]

Where, [tex]b>0[/tex].

At [tex]x=0[/tex],

[tex]y=b^0[/tex]

[tex]y=1[/tex]

It means the function passes through the point (0,1) but it does not passes through the origin. So, the statement in option A is true but the statement in option C is false.

The domain of the exponential parent function is all real numbers and the range is positive real numbers (y > 0).  So, the statements in the options B and D are true.

Therefore, the correct option is C.

A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.​

Answers

Answer: 3.57 years

Step-by-step explanation:

Based on the question given, the interest is the difference between the amount and the principal which will be:

= $19800 - $16800

= $3000

The formula for Simple interest is given as:

Interest = Principal × Rate × Time

3000 = 16800 × 5% × Time

3000 = 16800 × 0.05 × Time

3000 = 840 × Time

Time = 3000 / 840

Time = 3.57

The time taken to grow the investment is 3.57 years

PLEASE HELPPPPPPPPPP

Answers

Answer:

y = 25.20 m

Step-by-step explanation:

By applying tangent rule in ΔABC,

tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{y}{BC}[/tex]

BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)

Now we apply tangent rule in ΔABD,

tan(15)° = [tex]\frac{y}{BC+CD}[/tex]

tan(15)° = [tex]\frac{y}{BC+40}[/tex]

BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]

BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)

From equation (1) and (2),

[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]

[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]

[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]

y(2.1445 - 3.7321) = -40

1.5876y = 40

y = 25.1953

y ≈ 25.20 m

Therefore, measure of y is 25.20 m.

Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.

Answers

Answer:

C. Yes nicholas is right.

Solve for x.
10
8
6

Answers

Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

Find the surface area of
the prism.
14 in.
7 in.
5 in.
The surface area is _in2

Answers

The surface area is 406in2 hoped this helped :)

What's the equation for a circle of (2,-5) and a radius of 2

Answers

Answer:

(x+5)2+(y+5)2=22, or (x+5)2+(y+5)2=4.

Step-by-step explanation:

Answer:

(x - 2)^2 + (y + 5)^2 = 2^2

Step-by-step explanation:

Adapt the standard equation of a circle with center at (h, k) and radius r:

(x - 2)^2 + (y + 5)^2 = 2^2, where h = 2 and k = -5 and r = 2

Help me find the value of X please

Answers

Answer: x=25

(2x + 15) + x = 90º
3x + 15 = 90
3x = 75
x = 25

Solve for h. 28 = h 9 + 23

Answers

Answer:

28 = h 9 + 23

28 = h 32

h = 32 - 23

h = 9

28=h9+23
-23 -23
5=h9
5/9= h


Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?

Answers

Answer:

80% chance she will not be chosen

Step-by-step explanation:

the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.

I hope this is correct!

The probability that Aretha will not be chosen is 0.8.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Probability of choosing 2students =2/10

Probability of not choosing students = 1-2/10

= 8/10

= 0.8

Therefore, the probability that Aretha will not be chosen is 0.8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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At a point on the ground 50 feet from the foot of
a tree, the angle of elevation to the top of the tree is 53º. Find
the height of the tree.

Answers

Answer:

[tex] \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet[/tex]

Step-by-step explanation:

I hope that is useful for you :)

The height of the tree with angle of elevation of 53⁰ is 66 ft.

What is Angle of Elevation?

The angle of elevation is the angle between the horizontal line of sight and the object.

Here,  Let the height of the tree be x ft.

          The angle of elevation = 53⁰

          Distance from ground = 50 ft.

According to question,

        tan 53⁰ = x/50

         x = 50 × tan 53⁰

         x = 50 X 1.32

         x = 66 ft.

Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.

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What is the perimeter?

Answers

Answer:

41.13m

Step-by-step explanation:

the circumference of the circle is 25.13 and the 8 on both sides equals to 16

The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 37. What is the age of the person who entered the room?

Answers

Mean is the average,

The total ages with 5 people would be 5 x 33 = 165

the total ages with the 6th person is 6 x 37 = 222

The age of the 6th person is 222 - 165 = 57 years old.


HELP!
Part B:
Is the distance between the flagpole in the street light was 22 yards, with the three landmarks from a right triangle? Show or explain your work.
Part C: if both of distance between the drinking fountain Street light in the drinking fountain in blackboard double, how would that affect the distance between the flagpole a street light? Sure it’s from your work here for you.

Answers

The answer is 20 I think because 10 plus 10

You pick a card at random. 4 5 6 6 7 8 9 )) What is P(prime)? Write your answer as a fraction or whole number.​

Answers

It’s 6....... bc just bc its 6

The probability of getting prime number is 2/7.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Outcome = 4, 5, 6, 6, 7, 8, 9.

Number of outcome = 7.

a) The prime numbers from the outcome are 5 and 7.

So, the probability of getting prime number

= 2/7

Hence, the probability is 2/7.

Learn more about Probability here:

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What is the value of b?

Help please

Answers

Answer:

4/3 is ur answer which is equal to 6.92820323028

which i B's side length

Step-by-step explanation:

This is a 30-60-90 triangle
Which means that the longer leg=square root of 3 times the shortest leg ( the shortest leg lies opposite of the 30 degrees angle)

=4_/3 or the second choice

Find the area of the trapezoid

A. 168 in^2
B. 94.5 ft^2
C. 72 ft^2
D. 84 ft^2

Answers

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]

Hence, the area of the trapezoid is 84ft² and your answer is D

David drew this diagram of a picture frame he is going to make. Each square represents 1 square inch. What is the area of the picture​ frame?

Answers

Answer:

64 in²

Step-by-step explanation:

Find the area of the larger rectangle first, and then minus the area of the smaller rectangle.

The length of the larger rectangle

= 9-3 = 6 in

The width of the larger rectangle

= 17-1 = 16 in

The area of the larger rectangle

= 6×16

= 96 in²

The length of the smaller rectangle

= 8-4 = 4 in

The width of the smaller rectangle

= 13-5 = 8 in

The area of the smaller rectangle

= 4×8

= 32 in²

The area of the picture frame

= 96-32

= 64 in²

PLEASE HELP ILL GIVE BRAINLIEST
You walked 30 miles in 6hours. What was your average speed? a. 5mph b.80 mph c. 24mph d. 18 mph

Answers

Answer:

5 mph.

Step-by-step explanation:

5x6 equals 30. 30 divided by 6 equals five. Hope it helps

Answer:

A. 5mph

Step-by-step explanation:

30m = 6h

/6         /6

5m = 1h

5mph

Awnser question and show your work if you can (i will give brainliest

Answers

Answer:

answer is -1.75

Step-by-step explanation:

[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]

A rectangle with a length of 22 feet and an unkown width,W, has a perimeter of 74 feet. Set up and slove an equation to find the vaulur of W

Answers

Answer: W=15

Step-by-step explanation: The equation you set up is 2(L) + 2(W)=74

2(22) + 2W=74

44+2W=74

Subtract 44 from both sides

2W=30

Divide both sides by 2

W=15

it equals 15
some math put with other math equals 15

Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?

Answers

Answer:

AB = 5

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

=> 3² + 4² = AB²

=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]

=> AB = 5

A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Total
0.4
Dessert
No dessert
Total
Appetizer
0.1
0.2
0.3
No appetizer
0.3
0.4
0.7
0.6
1.0
What does the 0.2 in the highlighted cell mean?
A. 20% of the customers who ordered an appetizer did not order
dessert.
B. 20% of her customers did not order dessert.
C. 20% of her customers ordered an appetizer but no dessert.
D. 20% of her customers ordered an appetizer.
SUBMIT
PREVIOUS

Answers

In the table given in the question 0.2 means that 20% of her customers ordered an appetizer but not a dessert.

What is two way table?

Two way table is a table which shows the frequencies or relative frequencies of some values in the data.

How to find frequency?

From the table it is given that:

0.1=10% of the customers ordered both an appetizer and a dessert.0.3=30% of the customers ordered a dessert but not an appetizer.0.4=40% of the customers ordered a dessert.0.2=20% of the customers ordered an appetizer but not a dessert.0.4=40% of the customers neither ordered appetizer nor dessert.0.3=30% of the customers ordered an appetizer.0.7=70% of the customers did not order an appetizer.

The total is of 100%.

Hence the highlighted cell mean contains 0.2 shows that 20% customers ordered an appetizer but not a dessert.

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what is the value of 11²

Answers

Answer: 121

11^2 = 11 x 11 = 121

Answer:

121

Step-by-step explanation:

To square a number, we have to multiply the number by itself. This means we'll multiply 11 by 11.

11 · 11 = 121

So, 11² = 121.

I hope this helps :)

Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).

Answers

Answer:

Step-by-step explanation:

hello :

g(x)=3x+5

g(−6).=3(-6) +5 = -18+5 = -13

A beaker contains 114 pints of a chemical. A scientist pours the chemical out of the beaker until only 3 fluid ounces remain. How many fluid ounces of the chemical did the scientist pour out of the beaker?

Answers

Answer:

Its 17

Step-by-step explanation:

What is the length of LM ?

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

hope it helps ☺

ABC is a right triangle. calculate the length of side BC (the hypotenuse)​

Answers

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

Which set of ordered pairs (x, y) could represent a linear function of x?? A ((-2,8), (0,4) , (2, 3) , (4,2)) B ((1,2), (1,3),(1,4), (1,5)) C ((-2,7) , (0,12),(2,17),(4,22)) D ((3,5), 4,7) , (3, 9) , (5,11))

Answers

Answer:

A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A

Step-by-step explanation:

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