Answer:
Cosine 24 = adjacent / hypotenuse (x)
0.91355 = 11 / hypotenuse
hypotenuse = 11 / 0.91355
hypotenuse (x) = 12.0409391933
or x = 12.04 (rounded)
Step-by-step explanation:
Answer:
option 4. 17
Step-by-step explanation:
<u>sum of angles = exterior angle x n</u>
360° = 21.2° n
n = 360 / 21.2
n = 17
Answer:
D) 1/2
Step-by-step explanation:
<u>Dilation</u> : a type of transformation that makes the figure larger or smaller.
<u>Scale factor</u> : number or the conversion factor which is used to change the size of a figure without changing its shape.
Scale factor = dimensions of the new shape ÷ dimensions of the original shape
Given:
- Length of new figure P'Q' = 3 units
- Length of original figure PQ = 6 units
Therefore, scale factor = 3 ÷ 6 = 1/2
Answer:

Step-by-step explanation:
We want to verify the identity:

Let us take the LHS and simplify to get the LHS.
Express everything in terms of the cosine and sine function.

Collect LCM

We simplify the RHS to get:

We rationalize to get:

We expand to get:

Factor negative one in the denominator:

Apply the Pythagoras Property to get:

Simplify to get:

Or

Divide both the numerator and denominator by sin x

This finally gives:

Also 114 as they are corresponding angles