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Strike441 [17]
2 years ago
9

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

ng expressions would help him find the area of the shaded sector?

Mathematics
1 answer:
puteri [66]2 years ago
8 0
The picture in the attached figure

we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree

in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²

The <span>expressions to find the area of the shaded sector is
</span>(120°/360°)*(16*pi) units²

(1/3)*(16*pi)----> (16/3)*pi units²

the area of the shaded sector is  (16/3)*pi units²

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Gabriel is saving money by mowing lawns on the weekends. Last month, he saved $150. This month, saved 20% more than he saved las
Katyanochek1 [597]

Answer:

180

Step-by-step explanation:

so last month he saved 150 right first you find 20% of 150. that is 30. you add 150 and 30 and get 180.

3 0
2 years ago
Read 2 more answers
Eve’s teacher asked her to graph the function y=-cot(x)-1 by reflecting the graph of the function y=cot(x) about the x-axis and
Ronch [10]

Answer:

The correct answer is A: Yes, it matters. The graph of a function y = cot(x) should be reflected about the x-axis before it is translated 1 unit up.

Step-by-step explanation:

The reason being is that when there are two factors that affect a graph's verticality, order does matter. Here is the exact reasoning:

Say you translated 1 unit down first. You would then have y = cot(x) - 1. Then, in order to reflect it about the x axis, you must multiply the entire right side of the equation by negative 1. So now you have y = -1(cot(x) -1), which, when distributed, gives you: y = -cot(x) + 1, instead of y = -cot(x) -1. Therefore, you must reflect before you translate.

And you may be wondering, why then, isn't D correct? Since, you could fix that by translating up 1 and then reflecting, so that you get the final product. Well, it specifies that it can be done in any order. So one way you could get the equation you want, but the other way, you get y = -cot(x) + 1, which, again, is incorrect.

I hope this cleared it up for you!

5 0
2 years ago
Read 2 more answers
32​% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find t
Lorico [155]

Answer:

A.  21.06%

B. 66.88%

C. 81.56%

Step-by-step explanation:

There are two possible answer for the question asked, yes(more likely to make purchases) or no. The probability for a random adults answer yes to the question is 32% so the probability that the adults answer no is 68%.

(a) exactly​ two

There is only one case for this question, 2 people say yes and 8 people say no. The calculation for this problem will be:

2P10 * P(yes)^2 * P(no)^8= 10!/2!8!* 32%^2  * 68%^8 = 0.21066= 21.06%

(b) more than​ two

There are a lot of case for more than two, its easier to find out the negation of the probability which is "two or less". Case that fulfill "two or less" will be: 2 yes and 8 no

1 yes and 9 no

0 yes and 10 no

The calculation for the negation will be:

~P(X)= 0P10 * P(yes)^0 * P(no)^10   +   1P10 * P(yes)^1 * P(no)^9   +  2P10 * P(yes)^2 * P(no)^8  =

10!/0!10!* 32%^0  * 68%^10    +   10!/1!9!* 32%^1  * 68%^9   +   10!/2!8!* 32%^2  * 68%^8

0.02113 + 0.09947 + 0.21066  =  0.33126= 33.12%

Since its the negation, you need to subtract 1 with the negation

P(X)= 1 - ~P(X)

P(X)= 1 - 33.12%= 66.88%

(c) between two and​ five, inclusive

Same formula as above, but the case is:

2 yes and 8 no

3 yes and 7 no

4 yes and 6 no

5 yes and 5 no

The calculation will be:

2P10 * P(yes)^2 * P(no)^8 + 3P10 * P(yes)^3 * P(no)^7 + 4P10 * P(yes)^4 * P(no)^6 + 5P10 * P(yes)^5 * P(no)^5 =

10!/2!8!* 32%^2  * 68%^8    +   10!/3!7!* 32%^3  * 68%^7   +   10!/4!6!* 32%^4  * 68%^6  +  10!/5!5!* 32%^5  * 68%^5

0.21066 + 0.26435 + 0.21770 + 0.1229= 0.81561= 81.56%

8 0
2 years ago
In ΔGHI, the measure of ∠I=90°, IG = 6.8 feet, and HI = 2.6 feet. Find the measure of ∠G to the nearest degree.
Luda [366]

Answer:

\angle G=20.8\approx 21^{\circ}

Step-by-step explanation:

Given: In ΔGHI, \angle I=90°, IG = 6.8 feet, and HI = 2.6 feet

To find: \angle G

Solution:

Trigonometry defines relationship between the sides and angles of the triangle.

For any angle \theta,

tan\theta = side opposite to \theta/side adjacent to \theta

In ΔGHI,

tan G=\frac{HI}{GI}

Put HI=2.6  \,\,feet\,,\,GI=6.8\,\,feet

So,

tan G=\frac{2.6}{6.8}=0.38

Therefore, \angle G=20.8\approx 21^{\circ}

Download pptx
3 0
2 years ago
Solve the following problem: An investor earned triple the profits of what she earned last year. If she made $500,000.48 total f
myrzilka [38]

Answer:

$125,000.12 last year

$375,000.36 this year

Step-by-step explanation:

Last year, her profits were x.

This year, the profits are three times greater, so they are 3x.

Altogether for both years, the profits are x + 3x = 4x.

The profits for both years combined are $500,000.48

4x = 500,000.48

Divide both sides by 4.

x = 500,000.48/4

x = 125,000.12

The profits last year were $125,000.12

This year, the profits were 3x = 3(125,000.12) = 375,000.36, or $375,000.36

7 0
2 years ago
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