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2 years ago

Find 3/8(3/4+5/6)−1/2. Write your answer as a fraction in simplest form.

Mathematics

1 answer:

AnnZ [28]2 years ago

4 0

3/32 I think. I hope this helps! :)

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Pi/6 is the reference angle for: 3pi/6 5pi/6 13pi/6 8pi/6

Elanso [62]

Answer:

$\frac{5\pi}{6}, \frac{13\pi}{6}$

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

$\frac{3\pi}{6}=90^\circ$ , then its reference angle is $\frac{\pi}{2}$

$\frac{5\pi}{6}=150^ \circ$ is in the second cuadrant, then its reference angle is $180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}$

$\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ$ , then it is in the first cuadrant and the reference angle is $30^\circ =\frac{\pi}{6}$ .

$\frac{8\pi}{6}=240^\circ$ and it is in the third cuadrant, then its reference angle is $240^\circ -180^\circ=60^\circ=\frac{\pi}{3}$

5 0

3 years ago

How do you answer number 5

riadik2000 [5.3K]

x² - x - 6 = (x +3)(x - 2)

x² - 5x + 6 = (x - 2)(x - 3)

What is their common factor?

Answer: B. x - 2

5 0

3 years ago

The average of the first five multiple of 7 is

Black_prince [1.1K]

Answer:

b. 21

Step-by-step explanation:

The first five mutiples of 7 are: 7, 14, 21, 28, 35. You can get these by multiplying 7 to any integer.

7x1 = 7
7x2 = 14
7x3 = 21
7x4 = 28
7x5 = 35

In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.

Let's add first.

7+14+21+28+35 = 105

Let's divided 105 by 5, which is the number of the multiples of 7.

105÷5 = 21

The answer is 21.

7 0

3 years ago

A rectangle is 12.5 m wide and 18.24 m long. What is the area of the rectangle?

Ivan

Area=228
A=W*L
A=12.5*18.24

3 0

2 years ago

Use the Quadratic Formula to Solve: 8x^2+4x-16= -x^2

Harlamova29_29 [7]

Solve the equation for x by finding a, b and c of the quadratic then applying the quadratic formula

8 0

2 years ago