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igomit [66]
3 years ago
7

A circle with radius of \greenD{6\,\text{cm}}6cmstart color #1fab54, 6, start text, c, m, end text, end color #1fab54 sits insid

e a circle with radius of \blueD{9\,\text{cm}}9cmstart color #11accd, 9, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?

Round your final answer to the nearest hundredth

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer: 141 cm^{2}

Step-by-step explanation:

We have two circles:

Cirlce 1, with a radius r=6 cm and area A_{1}:

A_{1}=\pi r^{2}

And Cicle 2, with a radius R=9 cm and area A_{2}:

A_{1}=\pi R^{2}

Since Circle 1 is inside Circle 2 and assuming the area of the shaded region is the shown in the attached image, its area is:

A=A_{2}-A_{1}=\pi R^{2}-\pi r^{2}

A=\pi (R^{2}- r^{2})

A=\pi ((9cm)^{2}- (6cm)^{2})

Finally:

A=141.37 cm^{2} \approx 141 cm^{2}

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Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph
maksim [4K]

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

Reflection over the x-axis      by virtue of the factor -1

5 0
2 years ago
3[10-(27÷9) HELP PLEASE​
steposvetlana [31]

Answer:

21

Step-by-step explanation:

You do the parentheses first, so 27/9 = 3

10-3 = 7

3 * 7 = 21

8 0
2 years ago
Read 2 more answers
What is the gcf of 45 and 9?​
olganol [36]

Answer:

9

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

4 0
3 years ago
Whoever answers first can get brainliest!
Andrew [12]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a
sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of \alpha = 0.05

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

     p₂ be the sample of the second shift

     p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the \chi² test gives 8.10

degrees of freedom:

df = k - 1

   = 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤\alpha≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0
3 years ago
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