If 100 miles = 1 in.
650 = 6.5 x 100 and 6.5 x 1 = 6.5
so, if the journey is 650 m...... the map is 6.5 in.
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
Answer:
x = 50
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
This polygon is a quadrilateral with 4 sides. n = 4
(n - 2)180 = (4 - 2)180 = 2(180) = 360
The sum of the measures of the interior angles of the quadrilateral is 360 degrees.
We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.
x + 10 + 2x + 110 + 90 = 360
3x + 210 = 360
3x = 150
x = 50
Answer:
the last one
Step-by-step explanation:
216 inches (12×18) is ur answer
