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Alex Ar [27]
2 years ago
10

HELP PLEASE..........

Mathematics
1 answer:
serg [7]2 years ago
5 0

Answer:

19.47

Step-by-step explanation:

Use the law of sines.

sin(90)/6 = sin(x)/2

Multiply both sides by 2

2 * sin(90)/6 = sin(x)

Use a calculator

0.33333 = sin(x)

sin^-1 0.3333 = 19.47

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Please help, been struggling with this for almost a week now.
nikitadnepr [17]

Answer:

A \approx 1140.3\ units^2

Step-by-step explanation:

To solve this problem we first need to find the diameter of the circle. We are told the point N is the circle, so we can assume it is the center of the circle. To find the diameter we can use the Pythagorean Theorem:

a^2 + b^2 = c^2\\40^2 + 9^2 = c^2\\1600 + 81 = c^2\\1681 = c^2\\\sqrt{1681} = c\\41 = c

The diameter is 41 units, which means the radius is \frac{41}{2}. From here we can calculate the area of the circle:

A_c = \pi r^2\\A_c = \pi (\frac{41}{2})^2\\A_c = \pi 420.25\\A_c \approx 1320.25

Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:

A_t = \frac{bh}{2}\\A_t = \frac{40 \times 9}{2}\\A_t = \frac{360}{2}\\A_t = 180

Subtract the triangle area from the circle area to get the area of the shaded area:

A = A_c - A_t\\A = \pi420.25 - 180\\A = 1140.25431\\A \approx 1140.3\ units^2

5 0
2 years ago
How many yellow tiles are most likely in the bag? Enter the answer in the box. A tile is randomly selected from a bag that conta
fiasKO [112]

The number of yellow tiles that are likely to be in the bag is 5.

<h3>How many yellow tiles are in the bag?</h3>

The first step is to determine how many times the yellow tile would be picked from the bag: 100 - 24 - 12 - 12 = 52 times

Number of times the yellow tile in the bag = (52/100) x 10 = 5.2 = 5

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

7 0
2 years ago
How many of the 1000 smallest positive integers are congruent to 1 modulo 9?
Serjik [45]
1 modulo 9 is the set of numbers as follows:

(0(9) + 1), (1(9) + 1, ....)
which is:
1, 10, 19

All we have to do is divide 1000 by 9, and round down.

1000/9 = 111.111......
There are 111 numbers.
Now let us check our work.

the set is as follows:

(1,10,19, ....... (111)9 +1)
(1, 10, 19 ........ 1000)
We are within 1000.
Therefore, 111 of the 1000 smallest positive integers are congruent to 1 modulo 9.
5 0
4 years ago
Write the general (graphing) equation for the parent y= the square root of x
abruzzese [7]

Answer:

hindi ko alam yan

Step-by-step explanation:

sana may mag bigay ng sagot sayo

3 0
2 years ago
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30-60-90 triangle..find the value of x
Zepler [3.9K]

Answer:

x=8

Step-by-step explanation:

7 0
3 years ago
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