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miss Akunina [59]
3 years ago
8

Find the area of each sector. Use exact answers

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

B) 54π in²

Step-by-step explanation:

area of full circle = πr² = 81π in²

area of 4π/3 segment = (81)(4π/3)/2π = 54π in²

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the vertices of ABC are points A(1,1), B(4,1), and C(4,5). find the cosines of the angles of the triangle.
pickupchik [31]

Answer:

  • cos(A) = 3/5
  • cos(B) = 0
  • cos(C) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.

  Cos = Adjacent/Hypotenuse

__

<h3>Angle A</h3>

In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...

  cos(A) = AB/AC

  cos(A) = 3/5

__

<h3>Angle B</h3>

The right angle in the triangle is angle B. The cosine of a right angle is 0.

  cos(B) = 0

__

<h3>Angle C</h3>

The side adjacent to angle C is CB, so its cosine is ...

  cos(C) = CB/AC

  cos(C) = 4/5

7 0
2 years ago
Read 2 more answers
What number is 1/5 of another number the sum of the two numbers is six find the two numbers
Oliga [24]

Answer:

the two numbers are 3 and 3.

1/5 of 3 is 0.6

1/5 of 6 is 1.2

Step-by-step explanation:

3 + 3 = 6

(1/5)3 = 0.6

(1/5)6 = 1.2

8 0
3 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
mamaluj [8]

Answer: The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Let x represent the number of 3-point questions.

Let y represent the number of 5-point questions.

The maths test consists of 24 questions. This means that

x + y = 24

Each question is worth either 3 points or 5 and the test is worth 100 points. This means that

3x + 5y = 100 - - - - - - - - - - -1

Substituting x = 24 - y into equation 1, it becomes

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

- 3y + 5y = 100 - 72

2y = 28

y = 28/2 = 14

Substituting y = 14 into x = 24 - y , it becomes

x = 24 - 14 = 10

5 0
3 years ago
What is the common interest of $628 5% and 4 months?
ch4aika [34]

i = prt
i = 628 \times .05 \times 4
i = 31.40 \times 4 = 125.60
4 0
3 years ago
Mr.Chen left $45,000 to his aunt when he died. This was 5% of his total worth. a) how much was Mr.Chen worth when he died? Show
marysya [2.9K]

A) Mr Chen was worth:

45,000/5 = 9,000

9,000 x 100 = 900,000

The answer is 900,00

You can also write this as an equation.

3 0
3 years ago
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