I believe the two fractions are the numbers they all have in common.
At a particular time, objects and their shadows are proportionate.
Therefore, in figure,
--- (1)
where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.
From the given information,
BC = 36 feet
FD = 4 feet and DE = 3 feet
(1) becomes
AB = 48
Hence, the height of the lighthouse is 48 feet.
Answer:
B) 7/3
Step-by-step explanation:
To find the slope of a line using a graph, locate two points. In this example, the points are (0, -2) and (3, 5).
Then, find the distance between the two points. To do so in this example, find the difference between 0 and 3, and -2 and 5.
3 - 0 = 3
5 - (-2) = 7
Since we're dealing with slope, the answer will be in y/x form. 7 is the distance between the y-coordinates and 3 is the difference between the x-coordinates, the answer is 7/3.
Answer:
x=6
Step-by-step explanation:
log(5x+10)-log(4x+12)=1-2log(3)
log(5x+10/4x+12)=1-2log(3)
log(5x+10/4x+12)=log(10)+log(3^-2)
log(5x+10/4x+12)=log(10×3^-2)
log(5x+10/4x+12)=log(10×1/9)
log(5x+10/4x+12)=log(10/9)
5x+10/4x+12=10/9
9(5x+10)=(4x+12)10
45x+90=40x+120
5x=30
x=6
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