Answer:
Step-by-step explanation:
The distance the light traveled to the ground is the range of the plane expressed as:
R = U*√2H/g
U is he velocity
H is the max height
g is the acc. due to gravity
Let us get U first using the formula
H = u²sin²Ф/2g
1000 = u²sin²60/2(9.81)
1000*19.62 = 0.8660u²
19620 = 0.8660u²
u² = 19620/0.8660
u² = 22655.88
u = √22655.88
u = 150.52m/s
Next is to get the range
R = 150.52√2(1000)/9.81
R = 150.52 √2000/9.81
R = 150.52√203.87
R = 150.52*14.28
R = 2149.16m
Hence the distance the light traveled to the ground is 2,149.16m
The equation to find the volume of a cylinder is V = pi•r^2•h.
The radius is half of the diameter. Since Mr. James' beakers have a diameter of 4, their radius would be 2. 2 squared is 4.
Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.
First get the difference between the 2008 price and 1990 which is $4.02-$1.37= $2.65. Then the difference you've got which is $2.65, divide it to the current market price which is $4.02 to get the how many percentage it increased since then, $2.65/$4.02= 0.65920398 then multiply it to 100. It would be 65.92 or 66% if rounded off to whole number.
50 years ... 2.5 degrees
1 year ... x degrees = ?
If you would like to know what is the rate of change in worldwide temperatures per year, you can calculate this using the following steps:
50 * x = 2.5 * 1
50 * x = 2.5 /50
x = 2.5 / 50
x = 0.05 degrees per year
Result: The rate of change is 0.05 degrees per year.
The large square is 6 by 6 so it has area 6*6 = 36
The small square is 2 by 2 (since 6-2-2 = 2), so it has area 2*2 = 4
The difference in areas is 36 - 4 = 32 which is the area of the shaded region
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In summary:
1. The unshaded square (smallest square) has area 4 square inches
2. The area of the large square is 36 square inches
3. The shaded region (area of the frame) has area 32 square inches
