Find the volume of a right circular cone that has a height of 10.5 in and a base with a circumference of 7.1 in. Round your answer to the nearest tenth of a cubic inch.

Answer:

(1,3) (2,5)

Step-by-step explanation:

Keep going in a straight line like that. You choose a number for x, multiply with 1, then add 3. like if my x is 4 then 4 times 1 is 4 then i add three so seven, so (4,7)

Answer: 113.1

2 π r

2 π 18

113.1 answer not sure if it is right

Step-by-step explanation:

Answer:

m = 5

b = -6

Step-by-step explanation:

y = mx + b

Answer:

m = 5 and b = -6

Step-by-step explanation:

y = mx + b

y = 5x + (-6)

Answer:

m (slope)=1

Step-by-step explanation:

y=x+6(m is always found in front of X so m=1)

Answer: 1

Step-by-step explanation: This equation is written in y = mx + b form.

The slope of the line will be the coefficient of the x-term.

Remember, the coefficient is the number in front of the variable.

Notice that the x does not have a coefficient.

When that happens, when there is no number in front

of your variable, you can put a 1 there to fill that position.

So the slope of the line will is 1.

Answer:

4 × (7 - 3)

Step-by-step explanation:

You first subtarct 3 from 7 and then multiply that answer by 4

Answer:

4 × (7 - 3)

Step-by-step explanation:

Answer:

Angle A = 55.15 degrees

Step-by-step explanation:

cos^-1(4/7)=Angle A

Therefore, Angle A = 55.15 degrees

Answer:

55.15

Step-by-step explanation:

Answer:

1180.12

Step-by-step explanation:

p= 4000

r = 9% =0.09

t =3

plug in into  B = p(1 + r)^t

B = 4000(1 + 0.09)^3

B = 4000(1.09)^3

B =5180.116 round to the 2 decimals

B = 5180.12

make the difference between B, the balance (final amount) and  p, the principal (starting amount) = 5180.12-4000 =1180.12

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Answer:

He has 19 quarters.

Step-by-step explanation:

To solve this, we can set up a system of equations.

Let's first name our variables.

x: number of quarters

y: number of dimes

Using this, we can write the following equations.

Number of coins: x+y=27

Total Value: 0.25x+0.1y=5.55

We can rewrite the first equation to x=27-y by subtracting y from btoh sides. This way, we can substitute 27-y in for x.

0.25(27-y)+0.1y=5.55

Distribute.

6.75-0.25y+0.1y=5.55

Combine like terms.

6.75-0.15y=5.55

Subtract 6.75 from both sides.

-0.15y=-1.2

Divide both sides by -0.15

y=8

There are 8 dimes.

We can use that to find the number of quarters by plugging it in to one of the equations.

x+y=27

x+8=27

Subtract 8 from both sides.

x=19

He has 19 quarters.

Answer:

1 in 5

Step-by-step explanation:

m<FJI=90°, so

[tex]x + x + 4 + 3x - 9 = 90 \\ 5x = 95 \\ x = 19[/tex]

Answer: x=19

Answer:

x=73

Step-by-step explanation:

     3x-9+x+4+x=360

     5x-5=360

      5x=360+5

     5x=365

       x=365÷5

     x=73

Answer:

20 percent for drama club

30 percent for art club

Answer:

p(drama club) = 1/5

p(art club) = 3/10

Step-by-step explanation:

Total number of students = 40

Number of students in drama club = 8

p(drama club) = 8/40 = 1/5

Number of students in art club = 12

p(art club) = 12/40 = 3/10

Answer: AB = 15 units long.

Step-by-step explanation:

The triangles are identical.

You can infer this from both triangles sharing the side of BD and AD and CD marked as equal in length.

When triangles are identical, all three sides and angles are identical in length and measure, respectively.

Knowing this, we can set the sides of "5x" and "4x + 3" equal to each other in an equation to solve for x:

5x = 4x + 3

x = 3

When x equals 3, multiply x by 5 to find the side length of AB.

AB = 15 units long.

Answer:

3.5 and -3.5

Step-by-step explanation:

absolute value is the distance from zero to that number so 3.5 and -3.5 should be correct.

Answer:3.5 and -3.5

Step-by-step explanation:

n has absolute value marks, so whatever n is is positive. 3.5 and |-3.5| =3.5

Answer:

10 donuts and 10 brownies

Step-by-step explanation:

In this case we must solve the system of equations that do not say in the statement:

at least 20 must be, therefore:

x + y = 20 => x = 20 - y

1.5 * x + 2.5 * y = 40

replacing:

1.5 * (20 - y) + 2.5 * y = 40

30 - 1.5 * y + 2.5 * y = 40

y = 40 - 30

y = 10

now for x:

x = 20 - 10

x = 10

therefore, to be a minimum of 20, they must be 10 donuts and 10 brownies

Answer:

X^2 + 8x + 15

Step-by-step explanation:

The only like terms are 5x and 3x so you add those together and sinse no other terms are similar you leave the answer at x^2 + 8x +15.

Answer:

They are equal

Step-by-step explanation:

5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.

Adding a zero after a decimal is like adding a zero in front of an integer.

1.5 = 1.50

5 = 05

Answer:

(2x-4)(x-4)=24*10

Step-by-step explanation:

Last equation from Equation bank

Answer:

x = 52

Step-by-step explanation:

the right angle means 90 degrees so add 90 and 34 to get 124 then when u subtract from 180 degree (the degrees of a triangle) you get 54 degrees. that means that p has to be 124 degrees. 124 subtracted by 72 is 52. Therefore x is 52.

Answer:

(0.5,0) , (-3,0) ,and (0,-1.5)

Step-by-step explanation:

Just look where the points touch the x- and y-axis.

It touches twice on the x- and once on the y-axis.

Hope that helps!

Answer:

Read below.

Step-by-step explanation:

a. reflection over the x-axis, translate 2 units up

b. rotate 90° counterclockwise or 270° clockwise

c. use a scale factor of 2 and translate 3 units down, 3 units left

d. translate 8 units right, 7 units up

I'm not so sure about c since I do not like scale factors.

Answer:

b = -2

Step-by-step explanation:

Hello!

Solve the equation:

We can plug it back in to the original equation to see if it works:

The solution works.

Note that this is still a rectangle, and the length of the fencing is still 600 ft.

So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.

This makes the two equations: 2x + y = 600, and A = xy.

To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.

y = 600 - 2x. and A(x) = x(600-2x)

We now need to maximize A(x) = 600x - 2x2.

Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.

So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.

So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2

I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.

Answer:

3x - 2 = -5x + 6

8x = 8

x = 1

y = 3 (1) -2

y = 3 - 2

y = 1

Step-by-step explanation:

Answer:

x = 1 and y = 1

Step-by-step explanation:

We want to find the solution. Our equations are:

y = -5x + 6

y = 3x - 2

Let's set these two equations equal to each other:

-5x + 6 = 3x - 2

8x = 8

x = 1

Substitute this back into any of the two equations to solve for y:

y = 3x - 2

y = 3 * 1 - 2 = 3 - 2 = 1

Thus, the answer is (1, 1), or x = 1 and y = 1.

Answer:

By the end of the first year Dara will have $903.125 in his account.

Step-by-step explanation:

Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:

M(t) = M(0)*(1 + r/n)^(n*t)

Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.

In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:

M(1) = 800*(1 + 0.125/2)^(2*1)

M(1) = 800*(1.0625)^(2)

M(1) = 800*(1.0625)^(2) =903.125

By the end of the first year Dara will have $903.125 in his account.

Answer:

x ≈ 2.65(nearest hundredth)

Step-by-step explanation:

Base on your question the triangle is a right angle triangle. This means the triangle should obey the Pythagoras theorem.

Pythagoras theorem says

c² = a² + b²

where

c = hypotenuse of the triangle

a and b are called the legs of the triangle.

The hypotenuse is the longest side of the triangle.

Recall your question says the unknown side x is one of the legs of the triangle. That means the other legs will definitely be 3 since the hypotenuse should be the longest side of the triangle which is 4.

Using Pythagoras theorem

4² = 3² + x²

16 - 9 = x²

7 = x²

square root both sides

x = √7

x = 2.64575131106

x ≈ 2.65(nearest hundredth)

Answer:

x = amount of money he spends on peppers

0<x<8

if it's 12 or more dollars than 20-12=8 which can be your greatest number and 0 being the lowest range based on the actual amount spent on onions. make sure to put a line under the inequality signs to show that it can also be equal to the number.

Hey there! I'm happy to help!

To find the volume of a cone, you multiply the base by the height and then divide by three.

First, we need to find the base. A cone has a circle for the base. To find the area of a circle, we square the radius and multiply it by pi (we will use 3.14).

4²=16

16×3.14= 50.24

Now, we multiply our base by the height.

50.24×8=401.92

Finally, we divide by three.

401.92÷3≈133.973 (to nearest thousandth)

Therefore, the volume of the cone is about 133.973 units cubed. If you were to use exact pi, it would be more like 134 because of all those decimals after pi!

Now you can find the volume of cones!

I hope that this helps! Have a wonderful day!

Answer:

It will take him 8 months.

Step-by-step explanation:

If you divide 280 and 35 you get 8, which is the amount of months it takes.

Answer:

y=0

Step-by-step explanation:

8^3 8^-5 8^y= 8^-2

We know that a^b * a^c = a^(b+c)

8^(3-5+y) = 8^-2

The bases are the same so the exponents must be the same

-2+y = -2

y = 0

Answer:

0

Step-by-step explanation:

Answer:

1.3 x 1020

Step-by-step explanation:

4.8 x 10-6 = 42

1.3 x 1020 = 1326

3.1 x 10-4 = 27

9.2 x 10-5 = 87