What is the volume of a cone with a radius of 8.7 inches and height of 14 inches? (Use 3.14
for N)

Answers

Answer 1

Answer:

1109.1cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14 ×8.7² × 14/3


Related Questions


Which of the following gives the number of petals of the rose curve r=6cos 20 ?
(A) 1 (B)2 (C) 4 (D) 6
(E) 12

please include work

Answers

assalam o aalaikum

Step-by-step explanation:

1. At the Blue Jays game, Steven Matz (height = 1.2m) throws a baseball(140g) straight in

the air with 95N of force for 30cm.

1. What is the speed of the ball 2.4 m above the ground?

2. What is the maximum height of the ball (assuming no air resistance)?

What is an equation of the line that passes through the point(-1,-3) and is perpendicularly to the line x-2y=14

Answers

Answer:

the equation will be

Step-by-step explanation:

2x+y+5=0

Answer:

2x + y + 5 = 0

Step-by-step explanation:

The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.

Find the slope of given line by converting it into slope intercept form.

=> x - 2y = 14

=> 2y = x - 14

=> y = x-14/2

=> y = x/2 - 7

Comparing to y = mx + c ,

=> Slope (m) = 1/2 .

Now the slope of line perpendicular to it , will have a slope ,

=>[tex] m_{perp}[/tex] = -1/m

=>[tex] m_{perp}[/tex] = -1/½

=> [tex] m_{perp}[/tex] = -2

Using point slope form ,

=> m = (y - y₁) / ( x - x₁)

=> -2 = { y - (-3) } / { x - (-1) }

=> -2 = y + 3/x + 1

=> -2(x + 1) = y + 3

=> -2x -2 = y + 3

=> y + 2x +3+2 = 0

=> 2x + y + 5 = 0

Hence the equation of line perpendicular to it is 2x + y + 5 = 0 .

What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...​

Answers

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

please draw out the rectangular prism parts

PLEASE HELP

Answers

Answer:

280

Step-by-step explanation:

Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.

annual premium: $
quarterly premium: $

Answers

Answer:

Annual premium = $1,500 per year

Quarterly premium = $375 per quarter

Step-by-step explanation:

Given:

Insured amount of term insurance plan = $15,000

Number of year = 10 year

Find:

Annual premium

Quarterly premium

Computation:

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year

Quarterly premium = 15,000 / (10 x 4)

Quarterly premium = 15,000 / 40

Quarterly premium = $375 per quarter

Help I need HELP FAST I give brainliest.

IGNORE THIS TEXT: Which graph shows this solution set? y is greater than negative 2 and y is less than or equal to 2Answer options with 5 optionsA.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are filled in circles. Between negative 2 and positive 2, the number line is shaded. B.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are open circles. Between negative 2 and positive 2, the number line is shaded. C.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. Between negative 2 and positive 2, the number line is shaded. D.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. The number line is shaded to the left of negative 2 and to the right of positive 2. E.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is filled in circle. At positive 2, there is an open circle. The number line is shaded to the left of negative 2 and to the right of positive 2.

Answers

Answer:

The answer choice would be C

Consider the salt shaker shown.

5 cm

cm

What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.

Volume of Salt Shaker =

Answers

Answer:

Volume of salt shaker  = 42.4 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of salt shaker = 5 cm

Diameter of salt shaker = 3 cm

Find:

Volume of salt shaker

Computation:

Radius of salt shaker = Diameter of salt shaker / 2

Radius of salt shaker  = 3 / 2

Radius of salt shaker = 1.5 cm

Volume of salt shaker  = Volume of cylinder + Volume of Hemisphere

Volume of salt shaker  = πr²h + (2/3)πr³

Volume of salt shaker  = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³

Volume of salt shaker  = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)

Volume of salt shaker  = 35.325 + 7.068

Volume of salt shaker  = 42.4 cm³ (Approx.)

SOMEONE PLEASE HELP ASAP!!
-missing angle-
What do I do?!

Answers

Answer:

156°

Step-by-step explanation:

2x + 4 + 24 = 180

2x + 28 = 180

2x = 180 - 28

2x = 152

x = 152 / 2

x = 76

The missing angle

= 2x + 4

= 2 ( 76 ) + 4

= 152 + 4

= 156°

Isaiah’s vegetable garden is `15` feet long by `5` feet wide.



He plans to increase the width and length of his garden and put a fence around it.



He writes this expression for the total amount of fencing:



(x+15) + (x+5) + (x+15) + (x+5)



Describe what `x` represents in this situation.

Answers

Answer:

Step-by-step explanation:

x is the quantity by which the original measurements of the garden is increased.  For example:  the original width is 5 ft and x is the amount by which this is increased.

x here is the added value in the width and length of his garden to increase the fencing.

What is perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

Learn more about perimeter, click;

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why is solar power a renewable energy source​

Answers

Answer:

Solar energy is a renewable resource, meaning it won't ever run out or be in short supply. ... Solar energy reaches us via the sun's rays, while fossil fuels come from ancient carbon-rich remains on earth. So, as long as the sun is shining, solar energy will be around.

Step-by-step explanation:

It is a source of energy that won't run out with regular use. Popular sources of renewable energy include solar, wind and hydroelectric (or tidal).
Explanation:
A renewable energy source is simply one that won't run out. This means that you can consistently use it to produce energy and unlike fossil fuels, it won't use up supplies. For this reason, renewable energy often comes from cycles (like that of the tides) or from a constant in the environment. An example of a non-renewable energy source is fossil fuels. We will one day (in the not so far future) run out of fossil fuels as they take millions of years to produce, and we use so much of them up.
Renewable energy sources are getting more and more in demand as we run out of fossil fuels and realise their effect on the atmosphere. Here are a few well known examples.
Solar energy - this is where the energy from the sun is harnessed to produce electricity, or directly heat houses. By creating a panel with a large surface area and heat absorbent surface, it can absorb a large amount of the suns thermal and light energy to either heat up water in pipes (which will then heat houses), or to create electricity by "exciting" electrons (small particles which play a large part in transporting energy) in silicon using the sun's rays (or photons). However, solar energy can be a little unreliable as it requires clear skies and sunlight.
Wind - you may have seen large wind turbines along coastlines. This is because coasts receive a lot of wind, which can provide a force strong enough to turn a large turbine - then connected to a generator allowing us to harness the energy of the wind and turn it into electricity. Again, due to it relying on the weather, this is not a method that will 100% produce energy all the time.
Tidal - this is perhaps one of the most reliable methods, as we can rely on the tide coming in and out each day. It works by building a large dam across an water body affected by the tide. In order for the water to move in the direction it wants to, it has to push it's way through a turbine. The turbine is moved by the water and in turn drives a generator.
This is similar to hydroelectric, where instead of the tide, the energy of water flowing downhill is used to turn the turbine.
I hope this helped, let me know if you need any more information or something explained a bit better:)

Mrs. Shiroff charges $97 for materials for each bookcase she builds.
She also charges $30 for each hour she works building them. It takes
Mrs. Shiroff 90 hours to build 9 bookcases. How much will she charge?

Answers

90 x 30 = 2,700
97 x 9 = 873
2,700 + 873 = 3,573

When factored completely, the expression p4 - 81 is equivalent to ....
1. (p2+9)(p2-9)
2. (p2-9)(p2-9)
3. (p2+9)(p+3)(p-3)
4. (p+3)(p-3)(p+3)(p-3)​

Answers

The answer is option 3 (p^2+9)(p+3)(p-3) because you use the difference of squares formula

Which events are mutually exclusive?

Answers

Answer:

2.option is the correct answer

I have a math problem.

Oranges cost 2.50 cents

How much did James pay for 8296 oranges

Answers

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

20740

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Since the oranges cost 2.50 cents each then the ratio would be 2.50 cents to 1 orange, 2.5:1. James is buying 8296 oranges so we would have to multiply the ratio by 8296 since the oranges increased. 1 × 8296 = 8296.

2.5 × 8296 = 20740. James paid 20740 dollars for 8296 oranges. (20740:8296 would be the ratio.)

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

{WHY SO MANY ORANGES ono}

Question 7 of 10
Identify the range of the function shown in the graph.
A. 1sys7
B. 1 sys 4
c. y21
D. All real numbers

Answers

C you really got to read it right that’s all that’s all

R.
A circle has a diameter of 6 inches.
Show your work to find the following (use
3.14 for pi):
A) Area of the circle
B) Circumference of the circle
FIND THE VALUES FOR ANGLES A, B, C,
CuOUL/CYPLAIN YOUR

Answers

Answer: A IS CORRECT

Step-by-step explanation:

A ranger spots a forest fire while on a 30-meter observation tower. The angle of depression from the tower to the fire is 14°. To the nearest meter, how far is the fire from the base of the tower?

a. 7 meters
b. 4 meters
c. 124 meters
d. 120 meters

Answers

I don’t know the answer but I think it will be 7 meters

The fire from the base of the tower is at 120 m and Option D is the correct answer.

What is Angle of Depression ?

The angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards at an object is known as an angle of depression.

The formula is

[tex]\rm sin\;\theta = y/z\\\\\\cos\; \theta = x/z\\\\\\tan\; \theta = y/x[/tex]

where x is the distance between the point of the ground and the object , horizontally,

y is the perpendicular distance between the surface to the object

and z is the measure of line of sight

[tex]\rm \theta[/tex] is the angle of depression = 14°

It is given in the question that y= 30 m

x= ?

To determine  we will substitute the value

[tex]\rm tan\; \theta = y/x\\\\\\tan \;14^{o} = 30/ x\\\\\\0.25 = 30/x\\\\\\\x= 30/0.25\\\\\\x= 120 m\\[/tex]

Therefore the fire from the base of the tower is at 120 m and Option D is the correct answer.

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How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1
zero
one
two
O infinitely many

Answers

Answer: X = 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation!

Step 2: Subtract 4x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 2/(-7).

Which measurement is closest to the area of the sign in square inches

Answers

Option C. The area ≈ 706.86

Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 1:3
She needs to make 28 litres of punch for a party,
How much of each ingredient does she need?
Fruit juice = 7 litres Lemonade = 21 litres [4]
During the party Josie decides to make some more.
She has 3 litres of fruit juice left and plenty of lemonade,
How much extra punch can she make?
litres

To make the second batch of punch go further Josie
adds 3 more litres of lemonade,
What is the ratio of fruit juice to
lemonade in the second batch?

Answers

if she has three litres of fruit juice left, she can use nine liters of lemonade. She can make twelve more liters of punch

For the second batch the ratio of fruit juice to lemonade would be 3:12 or 1:4

A training field is formed by joining a a rectangle and two semicircles, as shown below. The rectangle is 89 m long and 69 m wide. What is the length of a training track running around the field? (Use the value 3.14 for {pi symbol}, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

I have no clue this queshtion seems pretty hard.

it takes 3 cups of flour to make 1 batch of cookies how many cups of flour will it take to make 6 batches of cookies

Answers

Answer:

6*3=18 cups

Step-by-step explanation:

3 cups of flour to make 1 batch

so to make 6 batches = 3*6 = 18

6 x 3 = 18

multiply the amount of flour by the batches of cookies you make

please help me out please

Answers

Answer:

DCB = 44 degree

Step-by-step explanation:

DAB (given = 100

(180-100 ) / 2 = 40

ADB = ABD = 40 degree   (each)

ADC (given =  108

BDC =  DBA =  108-40 = 68 degree;

(subtracting angle inscribed within another triangle)

Triangle DBC =   180- 68+68 = 180 - 136 = 44 degree

Find DCB We have found BDC and DBA by deducting ADB from ADC

to get  BDC

Then we deduct BDC from ADC to get DCB

A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?

Answers

Answer:

2.25, or 2 1/4 or 9/4.

Step-by-step explanation:

3/4 times 3 = 9/4

helppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

perimeter is add up all the values on the sides

5+3+4=12

hope it helps :)

If 8 people can be seated at a dinner table, how many tables are required to seat 72 people?

Answers

Answer:

9

Step-by-step explanation:

Given that ,

8 people can be seated at a dinner table.

This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.

=> 8 people can sit on 1 table

=> 1 person can sit of 1/8

=> 72 people can sit on 1/8 * 72 = 9 tables

Hence 9 tables is the required answer.

3
Find the value of a
in the equation,(3+4√3)(2-a√3)=-18+2√3​

Answers

Given:

The equation is:

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

To find:

The value of a.

Solution:

We have,

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

On simplification, we get

[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]

[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]

On comparing both sides, we get

[tex]6-12a=-18[/tex]

[tex]-12a=-18-6[/tex]

[tex]a=\dfrac{-24}{-12}[/tex]

[tex]a=2[/tex]

And,

[tex]8-3a=2[/tex]

[tex]-3a=2-8[/tex]

[tex]a=\dfrac{-6}{-3}[/tex]

[tex]a=2[/tex]

Therefore, the value of a is 2.

Tom and Susan park at different lots.

To see which lot is busier, they count the numbers of cars in the lots each day as they arrive.

Their data are shown in the box plots.


the questions to compare the variabilities of the data sets.

1. What is the interquartile range for Tom's data? Explain how you found the interquartile range.

Write your answer in the space below.

1

Answers

Answer:

Tom = 5

Susan = 3

Step-by-step explanation:

FROM THE BOXPLOT :

Tom's IQR :

IQR = Q3 - Q1

Q3 = third quartile (value at the endpoint of the box)

Q1 = 1st quartile (value at the beginning of the box)

IQR = 9 - 4

IQR = 5

SUSAN :

IQR = Q3 - Q1

Q3 = third quartile (value at the endpoint of the box)

Q1 = 1st quartile (value at the beginning of the box)

IQR = 8 - 5

IQR = 3

15 31/40 to the nearest whole number

Answers

Answer:

16

Step-by-step explanation:

Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D

Two squares were used to form a figure. The side length of each square is shown.
8 m
What is the area of the part of the figure that is NOT shaded?
F 80 m2
G 16 m
H8 m2
J 48 m²

Answers

Answer:

i think the area if shadded region is 16m

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