Answer:
The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft
Step-by-step explanation:
Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.
We will then find the position to place the plant where the suns rays can get to the base of the plant
Note that the fence is in between the sun and the plant, therefore we have
Height of fence = 5 ft.
Angle of location x from the fence = lowest angle of elevation of the sun, θ
This forms a right angled triangle with the fence as the height and the location of the plant as the base
Therefore, the length of the base is given as
Height × cos θ
= 5 ft × cos 27.5° = 4.435 ft
The plant should be placed at a location x = 4.435 ft from the fence.
9514 1404 393
Answer:
5/8
Step-by-step explanation:
The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.
Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.
The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.
F(x)=2(3)-5
f(x)=6-5
f(x)=1
Answer:
t ≥ 1.5
Step-by-step explanation:
Lets take time for practicing the piano to be t
The number of hours to practice per week should be at least 6 hours
This is written as t ≥ 6
She already practiced 3 hours this week, thus the remaining hours to practice should be
t ≥ 3
The minimum remaining hours to practice for the remaining 2 days should be
t=3
If these hours are evenly divided, then in a single day she should practice
for t ≥ 1.5
It's easy if you just break it into pieces...
1/3 OF the 4/9 French OF people on the bus (27) also speak German.
Of= Multiply
1/3*4/9*27/1=4 speak French AND German