The width of a rectangle is 10 centimeters and the length of the rectangle is 17 centimeters. Which measurement is closest to the length of the diagonal of this rectangle in centimeters?

Answer:

  3024π square inches

Step-by-step explanation:

The surface area is the sum of ...

The relevant area formulas are ...

  A = πrs . . . . . lateral area of cone with radius r and slant height s

  A = 2πrh . . . . lateral area of cylinder with radius r and height h

  A = πr² . . . . . area of a circle of radius r

The radius is half the diameter, so is (36 in)/2 = 18 in. When we add up these areas, we can factor out a common factor to simplify the expression a bit.

  A = πrs +2πrh +πr²

  A = πr(s +2h +r) = π(18 in)(30 in +2(60 in) +18 in) = π(18)(168) in²

  A = 3024π in² . . . . surface area

Check the picture below.

so, to get the area of the object, we'll use the lateral area of a cone with a height of 30 and a radius of 18, and the lateral area of a cylinder with height of 60 and radius of 18, and sum those two up.

[tex]\stackrel{\textit{lateral area of a cone}}{\pi r\sqrt{r^2+h^2}}\implies \pi 18\sqrt{18^2+30^2}\implies 108\pi \sqrt{34} \\\\\\ \stackrel{\textit{lateral area of a cylinder}}{2\pi rh\implies 2\pi (18)(60)}\implies 2160\pi[/tex]

[tex]\stackrel{\textit{area of the bottom circle of the cylinder}}{\pi r^2\implies \pi 18^2\implies 324\pi } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total area of the shape}}{108\pi \sqrt{34}+2160\pi +324\pi ~~\approx~~9782.1115~~\implies ~~\stackrel{\textit{rounded up}}{\boxed{9782~~in^2}}}[/tex]12

Answer: 11x+4

(simplify?)

Step-by-step explanation:

Remove parentheses.

9x−8+x+10+x+2

Add 9x and x

10x−8+10+x+2

Add 10x and x.

11x−8+10+2

Add −8 and 10.

11x+2+2

Add 2 and 2.

11x+4

Step-by-step-explanation:

Evaluate:

[tex]9x - 8 + x + 10 + x + 2[/tex]

Add the first two terms:

[tex]10 + 2 + x + 2[/tex]

Evaluate:

[tex]10x + x + 2 + 2[/tex]

Add the terms:

[tex]11x + 2 + 2[/tex]

Solution:

[tex]11x + 4[/tex]

ANSWER:

[tex]11x + 4[/tex]

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

S = 0 (30%)

F = (19687.5 - 55S) / 30 (55%)

Answer:

True

Step-by-step explanation:

If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.

1. Random Variable

2. Risk

3. Optimistic

4. Pessimistic

5. Im not sure

Step-by-step:

We can write it in the proportion [tex]\frac{7}{60} = \frac{x}{24}[/tex]

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

We multiply the numerator with the dominator

so [tex]7 multiplied by 24[/tex]

and [tex]60 multiplied by x[/tex]

[tex]7*24=60x[/tex]

[tex]168=60x[/tex]

[tex]\frac{168}{60} =\frac{60x}{60}[/tex]

[tex]2.8=x[/tex] or [tex]x=2.8[/tex]

Now for the

You would do 7 times 24 divided by 60 or [tex]\frac{7*24}{60}[/tex]

Then[tex]\frac{168}{60}[/tex] simplify

[tex]2.8[/tex] so 2.8 miles in either method

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

To know more about amount on :

https://brainly.com/question/28244711

#SPJ2

Answer:

The answer is A.

Step-by-step explanation:

Can I have brainiest?

Answer:

15 miles per hour

Step-by-step explanation:

12 miles per hour / 60 mins = 0.2 miles per minute

0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)

at to 2 minutes shes already 0.4 miles ahead of her brother.

he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15

his speed should be 15 miles per hour

Answer:

Step-by-step explanation:

Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:

  A = LW

  65 = (2w-3)(w)

  2w² -3w -65 = 0

  (2w -13)(w +5) = 0 . . . . . . . factor

  w = 6.5 . . . . . . . . the positive solution

  2(6.5) -3 = 10 . . . the length of the rectangle

The width of the rectangle is 6.5 meters; the length is 10 meters.

Hope this helps I really tried

By analyzing the graph, we can see that plan B is cheaper for the interval [0, 4), while plan A is better if you look 4 or more movies per month.

We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:

C₁(x) = $14 + $2*x

Plan B costs $10 per month plus $3 per movie, so if you watch x movies, the cost is:

C₂(x) = $10 + $3*x

Now to compare the costs, you can see the graph at the end. Where C₂(x) is the blue line, and C₁(x) is the green line.

In the graph, you can see that between x = 0 and x = 4, the blue line is below the green one. So, in the interval [0, 4) plan B is cheaper.

While for x > 4, the green line is below the blue one, so for x > 4 you should choose plan A.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Answer:

y < 3/4 x

(We don't put another number at the end, if the y-intercept is 0, btw.)

Step-by-step explanation:

We know that the line has a positive slope, because it's going upwards to the right.

(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).

Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.

We also know that since the line is dotted, the sign will be either < or >.

And the shaded area below indictes that y is lesser than, meaning we use this sign <.

Hope this helps you :)

Answer:

-5x

Step-by-step explanation:

-5x

step to step explaination:

2(5-3x)+(x-10)

=10-6x+x-10

=10-10-6x+x

= -5x

PLEASE MARK MY ANSWER AS BRAINLIEST.

Answer:

150 minutes

Step-by-step explanation:

Answer:

If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

9b²c² = (3bc)²

100m²n⁶ = (10mn³)²

I hope I've helped you.

Answer:

20 / 33

Step-by-step explanation:

Brianlyest plz

Answer:

1.x=12

6/12 divided by 3 for both denominator and numerator

2. x=5

2/10 divided by 3 for both denominator and numerator

5. x=60

60/100 divided by 20 for both denominator and numerator

Find out #3 for yourself

Step-by-step explanation:

Answer:

6y+66

Step-by-step explanation:

Step-by-step explanation:

[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]

[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]

[tex] = 4 \times {10}^{6} [/tex]

[tex] \: [/tex]

[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]

Answer:

[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]

[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]

[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]

[tex]↪4 \times {10}^{6} [/tex]

Answer:

5 to 1 power

Step-by-step explanation:

Answer:

5^(15) or 5 to the 15th power

Step-by-step explanation:

When simplified, both equal to 305175..

Answer:

4/4 is equal to 1 is the only one that's correct

Step-by-step explanation:

Answer:

4/4 and 1/3 are the correct statements

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

  +21  +21

6x=24

/6    /6

x=4

X=24

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

Check the picture below.

A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ

=》 PS = 3a

=》 PQ = a + 16

PS = PQ

3a = a + 16

3a - a = 16

2a = 16

a = 16/2

a = 8.

_______

RainbowSalt2222 ☔

Answer:

121/8

Step-by-step explanation:

Simply Multiply.

Answer:

4.148148149

Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]

Answer:

5x + 28 = 7x - 4

2x = -32

x = -16

Answer:

i dont know

Step-by-step explanation: