The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Sine rule shows the relationship between the sides and angles of a triangle.
The triangle formed has angles A = 10°, B = 50°, C = 120°, c = 4 km, a = distance from point y.
Hence:
a / sinA = c / sinC
a / sin(10) = 4 / sin(120)
a = 0.8 km
The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E
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Answer:
3 in
Step-by-step explanation:
The volume of the large sphere is ...
V = (4/3)πr³ = 288π . . . cubic inches
The volume of the smaller sphere is ...
288π -252π = 36π . . . cubic inches
The ratio of volumes of the smaller sphere to the larger is the cube of the ratio of radii. The radius of the smaller sphere will be ...
(6 in)∛(36π/(288π)) = (6 in)∛(1/8) = 3 in . . . . small sphere radius
You'll want to convert 3 2/3 into a common denominator with 1/4.
The nearest common denominator of 3 and 4 is 12.
1/4 * 3/3 = 3/12
2/3 * 4/4 = 8/12
You need 3 and 8/12 in total so subtract 3/12 from 3 8/12 to get the flour
3 8/12 - 3/12 = 3 5/12.
You would need 3 5/12 cups of flour.
The given inequality is y ≥ |x + 2| -3.
This inequality may be written two ways:
(a) y ≥ x + 2 - 3
or
y ≥ x - 1
(b) y ≥ -x -2 - 3
or
y ≥ -x - 5
A graph of the inequality is shown below. The shaded region satisfies the inequality.
Answer: A shaded region above a solid boundary line.
Step-by-step explanation:
19 -12+6k=14+7k
7+6k=14+7k
-6k -6k
7=14+x
-14 -14
-7=x
