Answer:4
Step-by-step explanation:
Answer:
y = 6√3 and x = 6
Step-by-step explanation:
this is a 30-60-90 triangle. The side opposite the 30° angle corresponds to the side of length 1 in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.
To find y, write and solve an equation of ratios, as follows:
adj side adj side (adjacent to the 30° angle)
y √3
hypo hypo then (cross multiplying): 2y = 12√3, and
12 2 y = 6√3
If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):
[12]² = [6√3]² - x² ↔ 144 = 36(3) - x² ↔ 36 = x². So x = 6 here.
If the bar is in the center of the door then we know that there is the same amount of space on each side of the bar. Call this space 's'. This is what we need to find. We also know the total width of the door and the total length of the bar. With this info we can set up and equation to represent the relationship:

and then solve for s. This is easer to do if we convert the two fractions to a common base and rearrange the equation so that instead of dividing by 2, we instead multiply by 1/2:
Answer:
0.47
Step-by-step explanation:
47% is the same as 0.47.
Hope it helps!
Answer: x= 80
Step-by-step explanation:
it’s an isoceles triangle so bottom 2 angles are 50
50+50= 100
180-100= x