Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (
), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:

Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
Answer:
1/8
Step-by-step explanation:
The slope equation for this problem is
y2-y1
--------
x2-x1
So the y2=4, y1=3, x2=8, and x1=0
4-3 =1
----- --
8-0 =8
Which is 1/8
Its 78/10 = 39/5
Hope it helps :)
Answer:
Step-by-step explanation:
Incomplete presentation of question. Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)? Or something else? Also: please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .
Answer and workings in the attachment below.