Think of the right triangle formed by the ladder, the height of the upper end of the ladder and the distance of the bottom of the ladder from the wall.
Then x = 6 ft and the hyp is 10 ft. The trig function cos theta equals "adj side" / hyp, so, in this case,
cos theta = 6/10 = 0.6. Use the arccos x function on your calculator to find the angle x:
x = 0.927 (radians) = 53.1 degrees.
Only 35:28 is equivalent to 5:4
Further explanation:
Given
5:4
We have to check each ratio, if it can be simplified to be equivalent to 5:4
<u>1:2</u>
The ration cannot be simplified in any way to 1:2 so it is not equivalent.
<u>8:14</u>
Simplified to: 4:7 => Not equivalent to 5:4
<u>35:28</u>
It can be simplified to 5:4 by dividing by 7.
Only 35:28 is equivalent to 5:4
Keywords: Ratios, Equivalent Ratios
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Find a common denominator
7/10 + 5/10
= 12/10
mixed number is 1 1/5
Suppose we have two points, A= (1,2) and B=(2,5)
We need to divide the line segment AB obtained by joining these 2 points, in a ratio 2:3,
Then, to find the coordinates of the point (x,y) which will divide the line segment AB (x1,y1) and (x2,y2) we will use the formula,
x=(mx1 + nx2)/(m+n)
y=(my1 + ny2)/(m+n)
Where m:n is the ratio in which it divides
Thus, coordinates will be x= (2*1 + 3*2)/(2+3)
Or x = 8/5
And y = (2*2 + 5*3)/(2+3) = 19/5
Thus the coordinates of the point are (8/5, 19/5) which divide the line in 2:3 formed by coordinates (1,2) and (2,5)
Answer:
7 wins/10 games is 0.7 which is a terminating decimal.