Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
A) 130 mins = 2 hours 10 mins or 2 and 1/6 hours... so 2 and 1/6 revolution. and 1 revolution is equal to 2*pi radians
<span>ANSWER: 13/6 (2 and 1/6) * 2*pi = 13.6 radians </span>
<span>b) 8/13.6 = x/(13/6) so x = 0.2715 hours or 16 and 1/3 minutes </span>
<span>c) if the restaurant is 21 meters, the radius is 10.5 meters, and the circumference is 2*pi*r so circumference = 65.97 meters. </span>
<span>2 and 1/6 revolution is going around the circumference 2 and 1/6 times, so simply multiply 65.97 by 13/6 </span>
<span>ANSWER: about 143 meters</span>
Answer:
range is 9
Step-by-step explanation:
Answer:
The value of the car in very nice condition is $28,500.
Step-by-step explanation:
Consider the provided information.
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.
The mixed fraction can be written as:
Let x is the value of car in very nice condition.
Hence, the value of the car in very nice condition is $28,500.
Correct option is D) -0.6.
<u>Step-by-step explanation:</u>
We have 
. Also, we know that 
. Let's find out value of 
using above formula:
⇒
⇒ 
⇒ 
⇒ 
⇒ 
But we know that cos
is negative in third quadrant , Therefore 
.
Hence, correct option is D) -0.6.
