Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60
10 (2x + 3) = 15 x 9
20x + 30 = 135
20x = 135-30 = 105
x = 105 / 20 = 5.25
answer: x = 5.25
9514 1404 393
Answer:
12 11/24 radians (combined angular motion)
Step-by-step explanation:
In one hour, the combined angular motion is ...
(2π)(1 +1/12) = 13π/6 radians
Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...
(23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians
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<em>Additional comment</em>
Maybe you're asking for the separate motions.
minute hand: 2π×5.75 = 11.5π radians
hour hand: (π/6)×5.75 = 23π/24 radians
Answer
B) x + 20 ≥ 50
Step-by-step explanation:
Answer:
side= 6400/4
=1600
therefore the area= 1600*1600
2560000
cost of reaping 100sq.m.=35
cost of reaping 1sq.m= 0.35
cost of reaping 2560000m sq= 2560000*0.35
= 906000