Volume of cones
A cone has a height of 15 meters and a diameter of 12 meters. What is its volume?
Use = 3.14 and round your answer to the nearest hundredth.

Answer:

See below ~

Step-by-step explanation:

Combination Rule

#1) ²²C₂₀

#2) ¹²C₈

Answer:

[tex]\displaystyle ^{22}C_{20} =231[/tex]

[tex]\displaystyle ^{12}C_{8} =495[/tex]

Step-by-step explanation:

Binomial Coefficients

[tex]\displaystyle \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{(n-r)! \, r!}[/tex]

[tex]\begin{aligned}\displaystyle \implies ^{22}C_{20} & = \frac{22!}{(22-20)! \, 20!}\\\\ & =\frac{22!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21 \cdot 20!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21}{2 \cdot 1}\\\\ & =\frac{462}{2}\\\\ & =231\end{ailgned}[/tex]

[tex]\displaystyle \begin{aligned} \implies ^{12}C_{8} & = \frac{12!}{(12-8)! \, 8!}\\\\ & =\frac{12!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 \cdot 3 \cdot 2 \cdot 1}\\\\ & =\frac{11880}{24}\\\\ & =495\end{aligned}[/tex]

Answer:

3020

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

we know angle R and angle Q are equal cause of the dashes

so

2x+30=6x-10

and then solve

30=4x-10

40=4x

10°=x

since they're equal just plug in X for one

2(10)+30= angle r

50° = angle r

we have two 50° angles and we know every triangle is 180°

so create the formula

angle r + angle q + angle p =180°

fill it in

50° + 50° + p = 180°

so angle p= 80°

Answer:

No answer.  The question is not correct.  2x-6 cannot be equal to 2x+4

Step-by-step explanation:

2(x-3) = 2x+4

2x-6 = 2x+4

This can't be true.  2x-6 cannot be equal to 2x+4:

Subtract 2x from both sides and we are left with -6 = 4:  FALSE

Answer:

Step-by-step explanation:

Taking the LHS and distributing

Equating to the RHS

On inputting any value for x, this equation will not be correct.

Hence, it has no solution.

Answer:

B is correct

I = (5200)(0.06)(2.5)

Step-by-step explanation:

Brainliest would be very much appreciated

Answer:

56.35 meters squared

Step-by-step explanation:

lmk if its inches

Answer:

y ≥ 1   or   y ≤ -2.4

Explanation:

| 10y + 7 | ≥ 17

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[tex]\sf {Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:\ge \:a,\:a\: > \:0\:\mathrm{then}\:u\:\le \:-a\:\quad \mathrm{or}\quad \:u\:\ge \:a[/tex]

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The graph that shows the proportional relationship y = 0.7x is Graph A.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, 7 out of 10 customers preferred the restaurants new spaghetti sauce, hence the constant is given by:

k = 7/10 = 0.7.

And the equation is:

y = 0.7x.

When x = 0, y = 0, which already eliminates graphs C and D. When x = 10, y = 7, which means that Graph A is the answer to this question.

More can be learned about proportional relationships at https://brainly.com/question/10424180

Step-by-step explanation:

the formulas can be easily found on the internet.

remember, the diameter of a circle is 2 times the radius.

so, the radius of our circle here is 4/2 = 2 cm.

circumference :

2×pi×r = 2×3.14×2 = 12.56 cm

area :

pi×r² = 3.14×2² = 3.14×4 = 12.56 cm²

hey, your teacher gave you the circle, where the circumference and the area have the same quantity ! funny !

so, make double sure you use the correct unit dimensions (remember, a distance has only one dimension, an area has 2 dimensions, and a volume has 3 dimensions).

Answer:

7 × 10⁴ (option D.)

Step-by-step explanation:

Take the missing value as 'x'.

5 × 10³ + x = 7.5 × 10⁴

x = (7.5 × 10⁴) - (5 × 10³)

x = (7.5 × 10000) - (5 × 1000)

x = 75000 - 5000

x = 70000

x = 7 × 10⁴ (option D.)

______

Hope it helps ⚜

[tex]5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} [/tex]

the true equation

let the unknown be y

[tex]y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )[/tex]

[tex]y = (7.5 \times 10000) - (5 \times 1000)[/tex]

[tex]y = 75000 - 5000[/tex]

[tex]y = 70000[/tex]

[tex]y = 7 \times {10}^{4} [/tex]

therefore, the correct answer is option D

Answer:

3 2/3 cups

Step-by-step explanation:

1 1/3 for one recipe.

2/3 cups for the second recipe.

1 2/3 for the third recipe.

Add all of the amount of cups used to get the total amount of sugar used.

1 1/3 + 2/3 + 1 2/3 = 3 2/3

She used 3 2/3 cups of sugar in all.

hope this helps!! p.s. i really need brainliest :)

Answer:

y = -3(x+2)^2 - 6

Step-by-step explanation:

y = a(x+2)^2 -6

-18 = a(-2)^2 - 6

-12 = 4a

a = -3

y = -3(x+2)^2 - 6

Answer:

2n-8

Step-by-step explanation:

The expression eight less then twice a number will be shown in the following steps.

First, we tackle the first part of the sentence “Eight less” from here we can derive that there is a -8 in the expression.

Secondly, we can tackle the second part “twice a number” so this would be mean 2 times N, or 2n

From the two steps previously we can the conclude the answer must be 2n-8

Answer:  her pay was $799.92

Step-by-step explanation:

multiply the number of hours she worked by her pay per hour:

22.22(36)

= 799.92

Answer:

given:

hours worked=36hours

payment per hour=$22.22

to find:

payment in a week

solution: 22.22×36

=799.92$

ans:her total pay for a 36 hour week is $799.92

Answer:

0.6 hours or 40 mins

Step-by-step explanation:

1/2 + 1/6 = 2/3

Answer:

38.6 units (nearest tenth)

Step-by-step explanation:

Formulae

(where r is the radius)

Circumference of a semicircle = diameter + half the circumference

⇒ Circumference of a semicircle = 2r + πr

Given:

[tex]\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}[/tex]

Circumference

The population is all the people in the city, and sample is all the people who live on the block and are home that day.

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts.

According to the definition of the population, we can say that the population is all the people in the city because they are the same entity which have to be tested to know how the people of the city feel about a bottle tax.

If we identify the sample, so the sample is all the people who live on the block and are home when the staff members interview all the resident on the block that are home that day.

Thus, the population is all the people in the city and sample is all the people who live on the block and are home that day.

Learn more about the population and sample here:

brainly.com/question/9295991

Answer:

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts. The staff members interview all the residents on the block that are home that day.

(A) or All the people in the city

the second part (C) or all the people who live on the block and are home that day

Step-by-step explanation:

got it right on edg

Answer:

Shift 1 unit to the right

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

The given function is  

So, the given function can be written in the form of basic form as

    ...(1)

The translation is defined as

    .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer: b.)  shift 1 unit to the right

Step-by-step explanation: on edg 2020

Answer:

im not sure but i think this is the answer

Step-by-step explanation:

I think it would be 130 + 0.75m

Which simplified could be 130.75m Hope it helps! :)

0.75m - 20

[tex]130+0.75\left(m-200\right)\ =\ 0.75m-20[/tex]

[tex]0.75(m-200) + 130[/tex]

The slope is 0.75

Substitute m for 0 ( [tex]0.75(-200) + 130[/tex])

Evaluate the equation ( [tex]0.75(-200) + 130[/tex]) = -20, this is the y-intercept

now the equation is [tex]slope + intercept[/tex] = [tex]0.75 -20[/tex]

Answer:

Pythagorean Theorom: [tex]a^2+b^2=c^2[/tex]

Triangle #1

[tex]21^2+x^2=29^2[/tex]

[tex]x^2=29^2-21^2[/tex]

[tex]x=\sqrt{841-441} =\sqrt{400}=20[/tex]

Triangle #2

[tex]1.6^2+3.0^2=x^2[/tex]

[tex]x=\sqrt{1.6^2+3.0^2}=\sqrt{11.56} =3.4[/tex]

Triangle #3

[tex]x^2+40^2=41^2[/tex]

[tex]x=\sqrt{41^2-40^2}=\sqrt{81} =9[/tex]

I hope this helps!

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

The given parameters are:

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

https://brainly.com/question/6613758

The payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

Loan amount = $7942, Monthy pay = $175, Interest rate = 17.11%

After calculating from the payment formula:

The payoff =  6.13 years = 73.56 months

Thus, the payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ1

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

The most number of participants fall on the age bracket of 37-39.

hope this helps

x=8

Hope it helps.

Do comment if you have any query.

Answer:

8 + 10 = 18

Step-by-step explanation:

no need for explanation simple addition

Answer: it’s 13

Step-by-step explanation:

I just took the Unit Test On Edge2022

Answer:

A  5    is the distance between

Step-by-step explanation:

(-2 -2)^2   +  ( 0-3)^2 = d^2

d = 5

Answer:

330

Step-by-step explanation:

took the test

Answer:

330 is the answer.

Step-by-step explanation:

We need the volume

Volume:-

To find how much water the cube can hold

   ⇒ must find volume

      ⇒ which is the amount of space that a shape occupies, or

          that is enclosed within the shape

The volume of a cube-shaped tank:

    ⇒ is the length, width, and height multiplied together

       ⇒ since this is a cube, all the side lengths are equal

           ⇒ Volume = (side-length)^3

Based on the information given

  ⇒ side-length is 3.3 feet

Therefore:

  Volume = [tex]3.3^3 = 35.937ft^3[/tex]

Thus the cube-shaped tank can hold 35.937 cubic feet of water

Answer: 35.937 cubic feet of water

Hope that helps!

Answer:

*Bottom*

Step-by-step explanation:

so hat is $8.50

gloves are $51

cleats are $85

cleats are $76.50 more than the hat.