Answer:
420 miles.
Step-by-step explanation:
You would have to be infinitely far away from a sphere in order to see exactly 50% of its surface all at the same moment. Using simple geometry, you can prove that an observer that is a distance d away from the surface of a sphere with radius R can only see a percent area A of the sphere's surface as given by the equation:
A = 50%/(1+R/d)
Where A is the area seen,
R is the earth's radius 4000 miles
And D is the distance above the earth 200 miles
50% = 0.5 in fraction
Substituting values we have
A = 0.5(1 + 4000/200)
A = 0.5(1 + 20) = 0.5 x 21
A = 10.5%
10.5% of 4000 miles = 420 miles.
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
The answer is 4 because k+2 would be 2 then times by 6 which is 12 then subtract 8 would be 4
Lateral surface area, is the area that is not including bases
so it is an area of free rectangles
3*(5*8)=3*40=120 cm²