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Otrada [13]
3 years ago
15

A circle with radius ris inscribed inside a square with a side length s. Use 3. 14 for TT Round answer to the nearest hundredth

if necessary
If s = 10 millimeters and r = 5 millimeters, calculate the area of the shaded region
square millimeters

Mathematics
1 answer:
Dominik [7]3 years ago
4 0

9514 1404 393

Answer:

  21.46 mm^2

Step-by-step explanation:

The area of the square is ...

  A = s^2 = (10 mm)^2 = 100 mm^2

The area of the circle is ...

  A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2

Then the shaded area is ...

  100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area

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Use the graph that shows the solution to f(x)=g(x) .
n200080 [17]

Answer:

1.  x=3   x=1

2.  x=0

Step-by-step explanation:

We want f(x) to equal g(x)

f(x)=g(x)

1/(x-2) = (x-2)

Using cross products

1 = (x-2) * (x-2)

1 = x^2 -2x-2x+4

Subtract 1 from each side

1-1 = ^2 -2x-2x+4-1

0 = x^2 -4x+3

Factoring

What number multiplies to 3 and adds to -4

-3*-1 = 3

-3+-1 = -4

0= (x-3) (x-1)

Using the zero product property

x-3 =0     x-1=0

x=3   x=1



2.  f(x)=x^2+4x+2

g(x)=(1/2)^ x+1


From the graph,we can see they intersect at x=0

5 0
4 years ago
A 90% confidence interval for the mean height of students
Westkost [7]

Answer:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

Step-by-step explanation:

Let X the random variable of interest and we know that the confidence interval for the population mean \mu is given by this formula:

\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}

The confidence level on this case is 0.9 and the significance \alpha=1-0.9=0.1

The confidence interval calculated on this case is 60.128 \leq \mu \leq 69.397

The margin of error for this confidence interval is given by:

ME =t_{\alpha/2} \frac{s}{\sqrt{n}}

Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:

ME = \frac{Upper -Lower}{2}

Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

4 0
3 years ago
How many solutions does 5x - 4x = 2x + 6 have
LUCKY_DIMON [66]

i think one which is where x=-6

8 0
3 years ago
Read 2 more answers
Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and o
likoan [24]
A - side of small map
a+6 - side of larger map
(a+6)² - area of larger map

(a+6)² = 121
(a+6)² = 11²    |√(...)
a+6 = 11    |-6
a+6-6 = 11-6
<span>a = 5

</span>Answer A. <span>5 inches by 5 inches</span>
9 0
4 years ago
Read 2 more answers
Find the value of two numbers if their sum is 112 and their difference is 66.
snow_lady [41]

Answer:

x+y = 112 ........ (1)

x-y = 62............ (2)

from (1) and (2)

2x = 174

x = 174/2

x = 87

sub x = 87 in (1)

x+y = 112

87+y = 112

y = 112 - 87

y = 25

so the numbers are 87 and 25

Step-by-step explanation:

8 0
2 years ago
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