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Shtirlitz [24]
3 years ago
7

A wheel has a radius of 9 inches and travels as it spins. How far does the wheel travel in one revolution? Show your work. Use 3

.14 for pi and round to the nearest inch
Mathematics
1 answer:
viktelen [127]3 years ago
4 0
Radius is half a circle. So 9•2 = diameter then it’s 18 • 3.14 = 56.52 rounded to the nearest inch is 57
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Is 12.89 a irrational number
shtirl [24]
12.89 can be written as 1289/100, hence its a rational number.
5 0
3 years ago
Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0
2 years ago
Find the median of the data in the box plot below.
Bumek [7]

Answer:

Median = 6.5 or 6 1/2

HOPE THIS HELPED! HAVE A GREAT DAY! :)

5 0
3 years ago
If a person starts investing $100 per month starting at age 21, and that money earns a 5% return every year, how much will this
aalyn [17]

The formula for calculating compound interest with yearly contributions is:

Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)

where the balance is the money earned after n years invested

Y is the interest rate as a fraction

Z is the yearly contribution

X is the starting investment

Therefore the calculation for this example is:

Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)

= $249,393.5


8 0
3 years ago
Read 2 more answers
190 + 200 its IMPOSSIBLE
nirvana33 [79]

Answer: 390

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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