Answer:
The rock formation is approximately 7 feet tall.
Step-by-step explanation:
<em>We can visualize this situation as a triangle and know that the bottom side is </em><em>10</em><em> and the angle of elevation (the angle created by Mike and the ground, looking to the top of a rock). With this information, we can use tangent to solve.</em>
<em>x = the height of the rock formation</em>
tan(22°) = x/10
10 tan(22°) = x
x = ~4.04 feet
<em>We also have to add the </em><em>3 feet</em><em> to it because it is being measured 3 feet above the floor.</em>
x + 3 = 7.04 feet
2/3x-40=5/6(x+36)
multiply each side by 6 to get rid of the fraction
6* 2/3x- 6*40=6*5/6(x+36)
4x -240 = 5(x+36)
distribute
4x-240 = 5x +180
subtract 4x from each side
-240 = x +180
subtract 180 from each side
-420 =x
Answer: There are 62 tricycles in the shop.
Step-by-step explanation:
Given: Number of wheels in a bicycle = 2
Number of wheels in a tricycle = 3
Let x = Number of bicycles , y = Number of tricycles.
As per given , we have
x+y =120 (i)
2x+3y=302 (ii)
Multiplying 2 on both sides of (i)
2x+2y=240 (iii)
Subtract (iii) from (ii) , we get
y= 62
Put value of y in (i) , we get
Hence, there are 58 bicycles and 62 tricycles in the shop.
x/6 - 5 = -13 so the value of x would have to be -48 because -48 divided by 6 is -8 and -8 minus 5 is -13
