Answer:
5.52m
Step-by-step explanation:
First, we can see that two similar triangles are formed. One similar triangle is the big triangle, with the base being 22.75m and the height being the tree's height. Another triangle is formed with Grayson's height as the height and the and the difference between where he is standing and the edge of the tree's shadow (the red outline in the picture) . We know that these are similar triangles because both the bases are parallel, as well as the heights and hypotenuses.
The base length for the triangle with Grayson as the height is 22.75-17.6 = 5.15 .
For similar triangles, we know that the ratios between sides are the same. For example, base₁/base₂ = height₁/height₂ . We can apply this here, making 5.15 base₁ and 1.25 height₁ (note that the same triangle's sides should be on top)
If we make the tree's height t, we thus have
5.15/22.75 = 1.25/t (height 2 is the tree's height
multiply both sides by t to remove one denominator
5.15 * t / 22.75 = 1.25
multiply both sides by 22.75 to remove the other denominator
5.15 * t = 1.25 * 22.75
= 28.4375
divide both sides by 5.15 to isolate the t
t = 5.52m
Answer:
39
Step-by-step explanation:
The median is the middle number
16, 23, 24, 39, 45, 78, 95
There are 7 numbers so the middle number is the 4th number
6, 23, 24, 39 , 45, 78, 95
The median is 39
Answer:
96%
Step-by-step explanation:
too easy for me
Answer:
TIK TOK
Step-by-step explanation:
ON THE CLOCK
Answer:
W is concave up.
Step-by-step explanation:
We are filling a spherical tank starting at the top half (meaning it is fulled half initially) at a constant rate. So, the tank level will increase in proportion to the tank's diameter at a given height.
Since the area of the circle is π·r² , then W(t) will be an increasing curve of second degree.
So, the curve for W(t) is concave up.
Also, the tank level increases over time at a more rapid rate.
Hence, the graph of W is concave up.