Answer:
The distance between Tyrone and the piano is 23.7 yards
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle P
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
∠T+∠D+∠P=180°
substitute the given values
65°+77°+∠P=180°
142°+∠P=180°
∠P=180°-142°=38°
step 2
applying the law of sines
substitute the given values
therefore
The distance between Tyrone and the piano is 23.7 yards
Solution:
<u>Simplify the equation and solve for r.</u>
- r/16 + 6 = 7
- => r/16 = 7 - 6
- => r/16 = 1
- => r = 16
The value of r is 16.
<u>Check:</u>
- r/16 + 6 = 7
- => 16/16 + 6 = 7
- => 1 + 6 = 7
- => 7 = 7 (Proved correct)
Subtracting 10x from the given equation gives
120 = 15x
Then dividing by 15 gives
8 = x
Zorah will have to play 8 hours in order to break even (cover her expenses exactly).
Answer: 5
Step-by-step explanation:
8+2=10
10/2=5
First, we need to find the least common denominator. The LCD for 7/8 and 1/3 would be 24. 7*3/8*3 = 21/24. 1*8/3*8 = 8/24. So, how many 8/24 will go into 21/24? 8 goes into 21 two times, and we are left with a remainder of 5. The answer is: Karen can make 2 and 1/24 servings of 1/3 cups of ice cream.
