If S=4πr² , find
i) the value of S when r = 10

I assume your question should be rephrased as "Josh has a bucket 30 inches deep..."

Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water.

Given:

To find: If Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water

It is given that, to fill the bucket with 3 inches of water, it takes Josh 5 minutes.

Using Unitary method, we can say that, to fill the bucket with 1 inch of water, it takes Josh [tex]\frac{5}{3}[/tex] minutes.

Then, to fill the bucket with 30 inches of water, it takes Josh [tex]\frac{5}{3} \times 30[/tex] minutes.

Solving, we can say that it takes Josh 50 minutes to fill the bucket with 30 inches of water.

Since the bucket is 30 inches deep, we can say that it takes Josh, 50 minutes to fill the entire bucket, which is just under an hour.

So, Josh is correct in assuming that it will take him under an hour to fill the entire bucket with water.

Learn more about Unitary method here:

https://brainly.com/question/12470900

Answer:

C

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

Answer:

Recorrera 495 km con 11 galones de gasolina

Y necesitara 14.44 galones para recorrer 650 km

Step-by-step explanation:

k          g                                                                  k             g

90         2                                                                 90           2

x            11                                                                650         x

=(11 x 90)/2                                                              =(650x2)/90

=990/2                                                                    =1300/90

=495 km                                                                 =14.44

Answer:

PQ = 58

Perimeter = 250

Opposite sides are congruent

Step-by-step explanation:

PQ = 58:

Because PQRS is a parallelogram, PQ equals RS.

1. Set up the equation and solve

7x + 16 = 5x + 28

2x = 12

x = 6

2. Plug in x into PQ

7(6) + 16 = 58

Perimeter = 250:

PQ = RS and QR = SP

1. Add the sides

58 + 58 + 67 + 67 = 250

Opposite sides are congruent:

definition of a parallelogram

Well, all we have to do is add, so:

6 + (-47) =

6 - 47 =

-41

Answer:

(-41)

Step-by-step explanation:

Subtract and write big numbers sign.

47 - 6= (-41)

Answer:

two complex solutions

Step-by-step explanation:

2x^2 + 4x+4

Factor out 2

2( x^2+2x+2)

Using the discriminant on the inner term

b^2 -4ac  where a=1  b=2  c=2

2^2 -4 (1) (2)

4 - 8

-4

Since the  discriminant  is negative, we will have 2 complex solutions

Answer:

  2 complex solutions

Step-by-step explanation:

Given the standard form quadratic ...

  ax^2 +bx +c

The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...

  a=2, b=4, c=4

so the discriminant is ...

  d = b^2 -4ac = 4^2 -4(2)(4) = -16

Because the discriminant is negative, we can predict there are 2 complex solutions.

__

The graph has no x-intercepts, confirming there are 2 complex solutions.

Answer:

54 km/h

Step-by-step explanation:

From H to G:

Let the distance be x km.

Average speed = distance/time

60 = x/ 3

60*3 = x

x = 180 km

From G to F:

Let the distance be y km.

Average speed = distance/time

45 = y/2

45*2 = y

y = 90 km

From H to F:

Total distance = x + y = 180 + 90 = 270 km

Total time = 3 + 2 = 5 hours

Average speed from H to F

= Total distance/ total time

= 270/ 5

= 54 km/h

Answer:

h = 112.5 feets

Step-by-step explanation:

The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :

[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]

We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]

So,

[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]

Now we need to find the maximum horizontal distance possible and at what angle does this occur.

For maximum distance angle should be 45 degrees. Som,

[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]

So, 112.5 feets is the maximum possible distance.

Answer:

1,120

Step-by-step explanation:

Find the volume of the larger figure. This can be represented using the formula for volume.

V = lwh

V = 5*18*18

V = 1620

Now, find the volume of the cut out piece of the wood. We will subtract this from the larger block.

V  = lwh

V = 5*10*10

V = 500

Subtract, and you will have your answer.

1620 - 500 = 1,120

Answer:

x = 12.6 degrees

Step-by-step explanation:

Using the property of alternate interior angles, we can say that m<A is equivalent to m<E.

m<A = m<E

63 = 5x

12.6 = x

So, x = 12.6 degrees

Cheers.

Answer:

a=53

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{53 \sqrt{2} } \\ \frac{ \sqrt{2} }{2} = \frac{a}{53 \sqrt{2} } \\ a = 53[/tex]

I hope I helped you^_^

Answer:

a = 53

Step-by-step explanation:

This is a 45- 45- 90 triangle with sides in the ratio x : x : x[tex]\sqrt{2}[/tex]

x are the legs and x[tex]\sqrt{2}[/tex] the hypotenuse

Here x[tex]\sqrt{2}[/tex] = 53[tex]\sqrt{2}[/tex] , then x = 53

That is the leg a = 53

Answer:

Step-by-step explanation:

Solving expression

[tex]\\ \rm\Rrightarrow (62-42)3[/tex]

[tex]\\ \rm\Rrightarrow 3(20)[/tex]

[tex]\\ \rm\Rrightarrow 60[/tex]

Answer:

3 times the difference of 62 and 42

Step-by-step explanation:

(62−42)×3

The difference of 62 and 42 times 3

distance of a point [tex](x,y)[/tex] from origin is $\sqrt{x^2+y^2}$

so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$

Answer:

Distance=17 units

Step-by-step explanation:

Coordinates of the origin: (0, 0)

Coordinates of the point in question: (-15, 8)

Distance formula for any two points [tex](x_1,y_1), (x_2,y_2)[/tex] on the plane:

[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(-15-0)^2+(8-0)^2}\\distance=\sqrt{(15)^2+(8)^2}\\distance=\sqrt{225+64} \\distance=\sqrt{289} \\distance=17[/tex]

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

Maximum height occurs when h(t) = 0 and the ball begins to fall

h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

Divide both sides by -32

t=3.46872

Approximately, t=3.5 seconds

Recall,

Maximum height occurs when h(t) = 0

h(t)= -32t + 111=0

= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

Answer:

     x = [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

5x + 2 (x - 3) = -2 (x - 1)

  5x + 2x - 6 = -2x +2

5x + 2x + 2x = 2 + 6

               9x = 8

                 x = [tex]\frac{8}{9}[/tex]

Answer:

The value of x in the given equation is 0.89

Step-by-step explanation:

5x + 2(x - 3) = -2(x - 1)

Distribute 2 to (x - 3)

5x + 2x - 6 = -2(x - 1)

Distribute 2 to (x - 1)

5x + 2x - 6 = -2x + 2

Combine 5x and 2x on the left side of the equation.

7x - 6 = -2x + 2

Add 6 on both side of the equation.

7x = -2x + 8

Add 2x on both sides of the equation.

9x = 8

Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.

x = 0.89

So, the value of x is 0.89

Answer:

X = 14,700

Step-by-step explanation:

you can use a calculator to get the x.

X=3816371/(27×63)

Answer: x = 5/2 = 2.5

Step-by-step explanation:

Given expression

2x (x + 3) = 2x² + 15

Expand parentheses and apply the distributive property

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

Subtract 2x² on both sides

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

Divide 6 on both sides

6x / 6 = 15 / 6

x = 15/6

[tex]\boxed{x=\frac{5}{2} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

2x^2 + 6x = 2x^2 + 15

2x^2-2x^2+6x=15

6x = 15

x= 5/2 when simplified

Answer:

It's is C. Y

Step-by-step explanation:

There is the graph and you can see it by yourself :)

Answer:

4.107

Step-by-step explanation:

115/28=4.107

Answer:

31 Feets

Step-by-step explanation:

Given the expression for the height of a baseball:

Height(t) = -16t^2 +64t +3

Height in Feets ; time (t) in seconds

Height of baseball after 3.5 seconds :

Height(3.5) = -16(3.5)^2 + 64(3.5) + 3

Height = - 16(12.25) + 64(3.5) + 3

Height = - 196 + 224 + 3

Height = 31 Feets

Height after 3.5 seconds = 31 feets

Answer:

-2, 6

Step-by-step explanation:

(x - 6)(x + 2) = 0

x - 6 = 0     x+ 2 = 0

  x = 6           x = -2  

The values of x that would result in the given expression being equal to 0, in order from least to greatest, are -2 and 6.

Answer:

B {-10 , -6 , 10}

Step-by-step explanation:

D= {-1 , 0 , 4}

When x = -1 ;

     y = 4x - 6

    y = 4*(-1) -6

       = -4 - 6

    y = -10

When x = 0,

                   y = 4 *0 -6

                   y = -6

When x = 4,

            y = 4*4 - 6

               = 16 - 6

              y = 10

Range = { -10, -6 , 10}

Answer:

x ≥ -4

Step-by-step explanation:

4x+5 ≤ 2x-3

Collect like terms

4x-2x ≤ -3-5

Simplify

2x ≤ -8

Divide both sides by 2

2x / 2 ≤ -8 / 2

x ≥ -4

Answer:

i cant see a parrellogram!

please post a picture

Answer:

IJ = 2*KL

Step-by-step explanation:

Given that the smaller figure was dilated to create the bigger figure with a scale factor of 2, it therefore means, the dimensions of the smaller figure was increased by times 2 of its dimensions to create the bigger figure.

Thus, the relationship that would exist between line IJ and KL, is that IJ is twice the size of KL.

The relationship is: IJ = 2*KL

Answer:

12.5 percent; 2/16; 1/8

Step-by-step explanation:

Peter and Mary make up 2 of the clubs members, so the probability that they are chosen is 2/16. This simplifies to 1/8, and in decimal form is .125. Therefore, the percentage form of the probability they are chosen is 12.5 percent.

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-

Answer:

64 cm³

Does the answer help you?

Answer:

December

Step-by-step explanation:

December:  acoustic/ electric =10/12 = 5/6

January : 13/16

Get a common denominator of 48

5/6 *8/8 = 40/48 for December

13/16 * 3/3 =39/48 for January

December has a higher ratio