Draw the triangle as shown in the figure below.
a=5.3, b=7, c=4.
The smallest angle is ∠C because it is opposite the shortest length of 4.
From the Law of Cosines,
c² = a² + b² - 2ab cosC
or
cos C = (a² + b² - c²)/(2ab)
= (5.3² + 7² - 4²)/(2*5.3*7)
= 0.823
∠C = arcos(0.823) = 34.58°
This answer agrees reasonably with 34.38°
Answer:
Transitive
Step-by-step explanation:
It's like a train. Since bc is equal to xy and xy is 8.Then the value of xy equals to bc.
Answer:
As Doris Day said: Good morning to you
Answer 27/2
Step-by-step explanation:
Answer:
B. 11
Step-by-step explanation:
Set up a system of equations where a is the number of adults and c is the number of children
a + c = 87
8a + 5c = 468
Solve by substitution by rearranging the first equation, then substituting it in the second equation:
a = 87 - c
Substitute this for a in the second equation, then solve for c:
8(87 - c) + 5c = 468
696 - 8c + 5c = 468
696 - 3c = 468
-3c = -228
c = 76
Then, plug this into the first equation to solve for a:
a + c = 87
a + 76 = 87
a = 11
So, 11 adults attended the carnival.
The correct answer is B, 11
Answer:
49
Step-by-step explanation:
= Simplify the exponents.
= Multiplication.
= 49 Addition.