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2 years ago

Define the term reference angle and give the equations to find reference angles.

Mathematics

1 answer:

EleoNora [17]2 years ago

6 0

Answer:

the measure of the smallest, positive, acute angle t formed by the terminal side of the angle t and the horizontal axis.

90° to 180°: reference angle = 180° - angle, 180° to 270°: reference angle = angle - 180, 270° to 360°: reference angle = 360° - angle.

if your given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°) your reference angle is your given angle minus 180°. So, if your given angle is 214°, then its reference angle is 214° – 180° = 34°.

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Pls help this is very easy

anastassius [24]

Answer:

20/9

Step-by-step explanation:

Alright, so by using the "keep me, change me, turn me over" method - we can easily solve this:

$\frac{8}{9}\div \frac{2}{5}\\=\frac{8}{9}\times \frac{5}{2}\\=\frac{4}{9}\times \frac{5}{1}\\=\frac{4\times \:5}{9\times \:1}\\=\frac{20}{9}$

I hope I was of assistance! #SpreadTheLove <3

4 0

2 years ago

Scott is on his school's academic team. On average, it takes Scott 4 minutes, with a standard deviation of 0.25 minutes, to solv

uysha [10]

Answer:

15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(more than 4.25 minutes to solve a problem)

$P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 4.25) = 1 - 0.8413 = 0.1587 = 15.87\%$

Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

8 0

2 years ago

Suppose that the function

Dafna11 [192]

Answer:

(f-g)(x)= -3x^3 + x^2 + 6x

(f+g)(×)= 3x^3 + x^2 + 6x

(f•g)(2)= 6x^3 + 36x^3

Step-by-step explanation:

I hope that helps

5 0

2 years ago

Consider this expression.

USPshnik [31]

Answer:

-16

Step-by-step explanation:

m^2 + n^2

-5^2 + 3^2 = -16

5 0

1 year ago

A lab technician cuts a 15 in piece of glass tubing into two pieces. One piece is 7 in longer than the other. How long are the

zysi [14]

Answer:

2.1 in

Step-by-step explanation:

I only wrote the expression 7n = 15. Then figured it out from there. I ended up with n = 2.1

I'm sorry if this doesn't help. I tried my best to solve it. Hope this leads you to the right answer ^^

8 0

1 year ago