Answer:
yes
Step-by-step explanation:
6 is half of 12. 15 is half of 30. The ratios are equal, so the fractions are proportional.
Answer: yes
Also, you can reduce both fractions.
Divide the numerator and denominator of 6/12 by 6 to get 1/2.
Divide the numerator and denominator of 15/30 by 15 to get 1/2.
Since both fractions reduce to 1/2, 6/12 and 15/30 are equivalent fractions and are proportional.
Answer: i’m confused
Step-by-step explanation:
Answer:
10 blocks
Step-by-step explanation:
Given

east
Required
Determine the shortest possible distance
To better explain my solution, I've added an attachment that illustrates her movement.
Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.
So, we have:



Take positive square root of both sides


Answer:
Step-by-step explanation:
use the formula { a couple of times} cos 2 Θ = 2 cos ² Θ - 1 = 1 - 2 sin ² Θ....your answer will likely have a cos 2x , a cos 4x , and a cos 6x in it.....note : cos ² Θ - sin ²Φ = cos ( Θ + Φ) cos (Θ - Φ) will also be needed for appropriate choices of Θ & Φ in terms of x