Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
318 students voted in the election.
Step-by-step explanation:
Given,
Votes received by Juan = 236 votes
Let x represent the number of total votes.
According to given statement;
Juan received 130 more than 1/3 of total votes.

Multiplying both sides by 3

318 students voted in the election.
Keywords: fraction, division
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start with y= m(x+9)
Use the distributive property:
y= mx+9m
Now you want x to decrease by 6:
so y ' = m(x-6) + 9m
Use distributive property again:
y'= mx - 6m + 9m
y' = (mx+9m) - 6m
y' = y - 6m
So the value of y decreases by 6m.
The speed in feet per second is 247.5
The parachutist will fall 4950 feet during 20 seconds.
Step-by-step explanation:
Given,
Speed during free fall = 75 meters per second
It is given that,
1 meter = 3.3 feet
75 meter = 75*3.3 = 247.5 feet
Therefore;
Speed during free fall in feet = 247.5 feet per second
Now,
1 second = 247.5 feet
20 seconds = 247.5*20 = 4950 feet
Fall during 20 seconds = 4950 feet
The parachutist will fall 4950 feet during 20 seconds.
Keywords: multiplication
Learn more about multiplication at:
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