Answer:
Step-by-step explanation:
You know the lengths of two sides and the angle between them, so use the Law of Cosines to find the third side.
x^2 = 10.5^2+ 5.4^2 -2(10.5)(5.4)cos20°
x ≈ 5.73 units
<span>The interior and exterior angles add up to 180° (a straight line - eg, a + f = 180°), andThe sum of the exterior angles is 360° (a + b + c + d + e = 360°).</span><span>Question
</span>
Answer:
area ≈ 6.3 units²
Step-by-step explanation:
Calculate the area (A ) of the sector as
A = area of circle × fraction of circle
= πr² × 
= π × 4² × 
= 16π × ← cancel 8 and 16 by 8, leaving
A = 2π ≈ 6.3 units² ( to 1 dec. place )
Answer: 4.1 inches
Step-by-step explanation:
From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.
The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.
Therefore, x:205 = 1:50
Cross multiply
x/205 = 1/50
50x = 205
x = 205/50
x = 4.1 inches
The answer is 4.1 inches
