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kramer
2 years ago
9

A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. one plank is painted white and it st

arts at the top of the wheel. the wheel is rolled forward through an angle of startfraction pi over 3 endfraction radians. how high from the ground is the white plank after this motion? 3 feet 5 feet 7 feet 9 feet
Mathematics
1 answer:
Sliva [168]2 years ago
3 0

The correct option is 9 feet.

The height from the ground the white plank after the motion is 9 feet.

<h3>What is rotational motion?</h3>

Anything that spins or moves in a circular route is said to be in rotational motion. It's also referred to as angular motion and circular motion. The motion can be uniform (— in other words, the velocity v remains constant) and non-uniform, but it must be circular.

Now, according to the question;

The wheel's radius is 4 feet.

The height of a bottom of a wheel from the ground equals 1 foot.

π/3 radians is the angle where the wheel is rolled.

The following relationship describes the height of a revolving wheel.

f(t) = A·sin(B·t + C) + D

Where,

D = Mid line =  4 + 1 = 5 feet

B·t = π/3

C = 0

amplitude; A = 4

Substituting the values in the function;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

f(t) = 9 (approx)

Therefore, the plank's height after the /3π/3 rotation motion = 9 ft.

To know more about the rotational motion, here

brainly.com/question/2136775

#SPJ4

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Juanito looked out the window and saw 20 bicycles and skateboards. There were a total 52 wheels. How many of each did he see , s
andriy [413]

Answer:

Let's denote:

x: number of bicycles

y: number of  skateboards

Then, we have:

x + y = 20

2x + 4y = 52

=> 2(20 - y) + 4y = 52

=> 2y = 12

=> y = 6 (number of skateboards)

=> x = 14(number of bicycles)

Hope this helps!

:)

4 0
4 years ago
Grade 12<br>mathematics<br>(√98-√50)² ​
allsm [11]

Answer:

8

Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,  (√98 - √50)² = (7√2 - 5√2)²

                                         = (2√2)²

                                         = 4 x 2

                                         = 8

<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

4 0
3 years ago
Identify the slope and intercept of the following linear equation. y=3/7x-5
Verizon [17]

Answer:

slope = m = 3/7

y-intercept = b = -5

Step-by-step explanation:

y = mx + b is the slope-intercept form of the equation of a line

where m = slope, and b = y-intercept.

slope = m = 3/7

y-intercept = b = -5

6 0
4 years ago
Read 2 more answers
All of the following have the same solution except _____. 50 = 5 m x - 6 = 4 = 2 b + 2 = 8
svlad2 [7]

Answer:  b+2=8

Step-by-step explanation:

8 0
2 years ago
Foster is centering a photo that is 5 - inches wide on a scrapbook page that is 16 inches wide. How far
horsena [70]

9514 1404 393

Answer:

  5 1/2 inches

Step-by-step explanation:

The page is 16 -5 = 11 inches wider than the photo, so the margin on either side needs to be 11/2 = 5 1/2 inches.

5 0
3 years ago
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