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
![\frac{TD}{sin(P)}=\frac{TP}{sin(D)}](https://tex.z-dn.net/?f=%5Cfrac%7BTD%7D%7Bsin%28P%29%7D%3D%5Cfrac%7BTP%7D%7Bsin%28D%29%7D)
substitute the given values
![\frac{15}{sin(38\°)}=\frac{TP}{sin(77\°)}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Bsin%2838%5C%C2%B0%29%7D%3D%5Cfrac%7BTP%7D%7Bsin%2877%5C%C2%B0%29%7D)
![TP=\frac{15}{sin(38\°)}(sin(77\°))\\\\TP=23.7\ yd](https://tex.z-dn.net/?f=TP%3D%5Cfrac%7B15%7D%7Bsin%2838%5C%C2%B0%29%7D%28sin%2877%5C%C2%B0%29%29%5C%5C%5C%5CTP%3D23.7%5C%20yd)
therefore
The distance between Tyrone and the piano is 23.7 yards
Answer:
A: 20 or 70
A:between 20 and 70
B:more than 70
Step-by-step explanation:
Plato
Answer:
supplementary
Step-by-step explanation:
Answer: The equation that would help members to find how much they would pay per month is
40 + 12x = 460
Step-by-step explanation:
Let x represent the amount of money that members would pay per month.
Let y represent the number of months for which a member uses the gym.
There is a fee of $40 when you join, and the rest is paid monthly. This means that the cost of using the gym for x months would be
40 + xy
A one year membership to metro gym costs $460. Therefore are 12 months in a year. Therefore,
40 + 12x = 460
12x = 460 - 40 = 420
x = 420/12 = 35
The equation that would help members to find how much they would pay per month is
12 because the 23 3/8 is rounded down and the 11 2/9 is rounded down as well