Explain how the value of the 7 in 327,902 will change if you move it to the tens place

Answers

Answer 1

Answer: The value of seven will change from 7,000 to 70 if it is moved from the thousands place to the tens place.

I hooe this helped! Sorry if it is not what you are looking for!

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A billiard ball is struck by a cue. It travels 100\,\text{cm}100cm100, start text, c, m, end text before ricocheting off a rail and traveling another 120\, \text{cm}120cm120, start text, c, m, end text into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45^{\circ}45 ∘ 45, degrees. How far is the corner pocket from where the cue initially struck the ball?

Answers

Answer:

$\large \boxed{\text{86 cm}}$

Step-by-step explanation:

I think what you are saying is represented by the diagram below.

The ball starts at A, rebounds from the far wall at a 45° angle and into the corner pocket at C.

You want the find the distance from A to C.

We can use the Law of Cosines to answer this question

$\begin{array}{rcl}b^(2) & = & a^(2) + c^(2) - 2ac\cos \theta\n& = & 120^(2) + 100^(2) - 2 *120*100 * \cos 45^(\circ)\n& = & 14400 + 10000 - 24000*0.7071\n& = & 24400 - 16971\n& = & 7429\n b & = & \textbf{86 cm}\n\end{array}\n\text{The corner pocket is $\large \boxed{\textbf{86 cm}}$ from where the cue originally struck the ball.}$

Answer:

about 86 cm

Step-by-step explanation:

My understanding of the geometry is shown in the attached figure.

Since the angle of incidence is equal to the angle of reflection, the angle APP₂ will be 22.5°, and the vertical distance from the pocket P to the ball position B is ...

(PA +AB')sin(22.5°) = 220sin(22.5°) ≈ 84.19 . . . . cm

The horizontal distance PB is

(PA -AB)cos(22.5°) = 20cos(22.5°) ≈ 18.48 . . . . . cm

The distance PB is given by the distance formula ...

PB = √(84.19² +18.48²) ≈ 86.19 . . . . cm

The ball was initially about 86 cm from the corner pocket.

twelve rolls of commercial-grade paper towels come in one case costing $23.58 What is the the cost per roll of paper towels

Answers

$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)

You would take your cost of 23.58 and divide it by the amount (12). You would end up getting 1.965 or 1.97 per roll

What is a rate and a unit rate examples

Answers

Answer:Rates. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

Step-by-step explanation:

Reduce 22/30 to lowest terms and write the denominator in the blank.

Answers

Answer:

11/15. the denominator is 15

Step-by-step explanation:

22/2=11

30/2=15

Hope this helps!

Answer:

Step-by-step explanation:11/15

12 2/3 ^ 2 1/3what is 12 2/3 divided by 2 1/3

Answers

Answer:

(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3)/(2 + 1/3)

Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:

(12 + 2/3)/((3×2)/3 + 1/3)

3×2 = 6:

(12 + 2/3)/(6/3 + 1/3)

6/3 + 1/3 = (6 + 1)/3:

(12 + 2/3)/((6 + 1)/3)

6 + 1 = 7:

(12 + 2/3)/(7/3)

Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:

((3×12)/3 + 2/3)/(7/3)

3×12 = 36:

(36/3 + 2/3)/(7/3)

36/3 + 2/3 = (36 + 2)/3:

((36 + 2)/3)/(7/3)

36 + 2 = 38:

(38/3)/(7/3)

Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:

(38×3)/(3×7)

(38×3)/(3×7) = 3/3×38/7 = 38/7:

Answer: 38/7

If Mary read 2/5 of a page every minute, how long would she take to read 240 pages

Answers

First convert 2/5 into a decimal. So divide the numerator by denominator. So 2÷5= 0.4 or 0.40 (both are same). So now divide:
240
÷0.40
--------
600

So, 600 is the answer.

so 2/5 is to 1 minute (that means 2/5:1 not 2/5=1)
240 is to x minute
convert to fraction
(2/5)/1=240/x
multiply both sides by x
(2/5x)/1=240
2x/5=240
multipy both sides by 5 to get rid of fraction
2x=1200
divide by 2
x=600
600 minutes or 10 hours

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