A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

Answer:

b

Step-by-step explanation:

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

Answer:

-1

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

Answer:

5/9

Step-by-step explanation:

Answer:

i think is 5/9 :))

Answer:

B 50

Step-by-step explanation:

Option 1) 2/5 = 20/x  |  20/2 = 10 so x = 10  |  5 times x 10 =50

Option 2) dogs 2 to cats 5  |  2/5 = 20/x  |  .40 = 20/x  |  .40x = 20  |  x = 50

Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50

Answer:

18 Liters of water

Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

Answer:

x-inter = (-40,0), y-inter= (0,15)

Step-by-step explanation:

the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.

Answer:

eyjdnfbhs

Step-by-step explanation:

Answer:

you have the highest chance of getting peanuts

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Answer:

Answer and steps in picture.

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

Answer:

The correct answer is:

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

⇒ Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

Answer:

0.70L

Step-by-step explanation:

3m=2b

convert 8 b to mugs

therefore 8b=12m

12m+10m=22m

15.4/22=0.700l

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Answer:

z = -11, z = -2

Step-by-step explanation:

Given that, ([tex]f(z)=\sqrt{z+27} -z[/tex]) and ([tex]f(z)=7[/tex]), set up an equation that puts the first value of ([tex]f(z)[/tex]) equal to the other given value of the function.

[tex]f(z)=\sqrt{z+27}-z=7[/tex]

Use inverse operations to solve,

[tex]\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22[/tex]

Factor,

[tex]0=(z+11)(z+2)[/tex]

Solve using the zero product property, the zero product property states that any number times zero equals zero;

[tex]z=-11,z=-2[/tex]

Answer:

Then solve the rest using the quadratic formula

Answer:

4

Step-by-step explanation:

4 to the 4th power is 256

Answer:

351.9 m²

Step-by-step explanation:

[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder

We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).

Plug in 4 as r and 10 as h

[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]

Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.

I hope this helps!

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

Answer:

The geometric mean of 18 and 27 is 22.045407685

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

Answer:

22.045407685

Step-by-step explanation: