In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.
2 answers:
Answer:
m∠B = .
Step-by-step explanation:
Since the three sides of the triangle are given, then we apply cosine rule.
=
+
- 2ac Cos B
But, a = 660 cm, b = 680 cm, and c = 100 cm.
So that;
=
+
-2(660 x 100) Cos B
462400 = 435600 + 10000 - 132000 Cos B
462400 = 445600 - 132000 Cos B
132000 Cos B = 445600 - 462400
= -16800
Cos B =
= -0.1273
B = -0.1273
=
Thus, measure of ∠B is .
You might be interested in
Given below is the answer
The raised price represents 110% of the original price (100% plus the extra 10%)
A percentage is converted into a decimal multiplier by dividing by 100:
To clarify the final stage, consider this (where
is the original price):
From here, basic algebraic rules make solving for easy:
Therefore the original price of a ticket was $175
A percentage is converted into a decimal multiplier by dividing by 100:
To clarify the final stage, consider this (where
From here, basic algebraic rules make solving for
Therefore the original price of a ticket was $175