1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anni [7]
2 years ago
5

Find the area of the shaded region

Mathematics
2 answers:
Maksim231197 [3]2 years ago
7 0

Answer: 40

Step-by-step explanation:

Artist 52 [7]2 years ago
3 0

Answer:

16\pi - 24\sqrt{3}

Step-by-step explanation:

The shaded area is the area of the circle <u>minus</u> the area of the hexagon. (It's like a circle with a hexagon cut out of it.)

Area of the circle is A_\text{circle} =\pi r^2 = \pi\cdot 4^2 = 16\pi

Area of the hexagon. The attached image shows two radii drawn that create an equilateral triangle with three 60 degree angles.  The blue altitude (marked h) splits that triangle into two 30-60-90 triangles.  The bottom side is split into two 2-unit segments.  The altitude h is the short leg of the 30-60-90 triangle multiplied by \sqrt{3}.

So, the area of one equilateral triangle is \frac{1}{2}(\text{base})(\text{height})=\frac{1}{2}\cdot 4\cdot 2\sqrt{3}=4\sqrt{3}.

The hexagon is made up of 6 such equilateral triangles, so its area is A_\text{hexagon}=6\cdot 4\sqrt{3}=24\sqrt{3}

Finally, the shaded region has area (circle minus hexagon):

16\pi - 24\sqrt{3}

You might be interested in
Cound someone please help me on this, I'm stuck. ​
Katyanochek1 [597]

Negative exponents work like this:

a^{-b}=\dfrac{1}{a^b}

So, in order to evaluate a negative exponent, you simply have to invert the base, and then raise to the positive equivalent of the exponent.

As an example, here are the first three exercises:

8^{-3}=\dfrac{1}{8^3}=\dfrac{1}{512}

(-4)^{-5}=\dfrac{1}{(-4)^5}=-\dfrac{1}{1024}

2k^{-4}=\dfrac{2}{k^4}

You can work out the rest applying this logic.

5 0
3 years ago
What's the value of 42÷1/7? (show work)<br>A.1/294<br>B.1/6<br>C.6<br>D.294
Arisa [49]
42/1/7 u would do the reciprocal for 1/7 so then it would 42•7/1 and then u would get 294
8 0
3 years ago
Write mixed number for p so that 3 1/4 × p is more than 3 1/4
Sholpan [36]

Answer:

1 3/5

Step-by-step explanation:

Anything larger than 1 multiplied by 3 1/4 would result in a number more than 3 1/4.

8 0
3 years ago
3(-2a-4)+3a I need to answer for this for khan academy, the answer options are
8_murik_8 [283]

Answer:

1+1 = 1111111111111111111111

5 0
3 years ago
Read 2 more answers
The manager of a factory wants to compare the mean number of units assembled per employee in a week for two new assembly techniq
antoniya [11.8K]

Answer:

The most appropriate inferential statistic test in the present situation is the;

b. Two-sample t-test

Step-by-step explanation:

From the question, we have;

The number of subjects in each sample, n₁ = 100

The number of samples = 2

The nature of the test = To compare the two means

The value of the population standard deviation, σ = Unknown

From the given parameters, we have;

The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related

The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown

The types of t-test used are;

a) One-sample t-test

b) Two-sample t-test

c) Paired Sample t-test

Therefore, a two-sample t-test is most appropriate.

3 0
2 years ago
Other questions:
  • Passes through (1,12) and has a vertex (10,-4)
    5·1 answer
  • Volume of cylinder with a radius of 8cm and height of 25 cm
    15·1 answer
  • What is 30,000-18,836-9,645= explained
    6·1 answer
  • 612 divided by 12 (not in decimal form!)
    11·2 answers
  • Solve the following system of equations using any method you want.
    10·2 answers
  • Xzavion buys 1.2 pounds of strawberries. If each pound of strawberries cost $3.70, how much will he pay for the strawberries?
    6·2 answers
  • Algebra 2 need a lil help
    9·2 answers
  • A larger number is twelve more<br>than a smaller. Their sum is<br>84. Find the numbers.​
    14·2 answers
  • Solve for x parallel lines ​
    8·1 answer
  • Question 2 (1 point) Solve 2d - 7= 8-34. O a d- 5 Oь d = -15 Ос d=-1 5 Od Submit<br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!