Answer:
Step-by-step explanation:
<u>Δ MHP is right triangle, therefore</u>
<u>ΔMNP is isosceles triangle as MN = MP, therefore</u>
- m∠NMP = 180° - 2*55° = 70°
Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
Based on the commission that Xavier receives from Art Van Furniture, the total value of the furniture sold is $5,500.
<h3>How much furniture did Xavier sell?</h3>
The commission that Xavier earns on his first $1,000 should be removed to be:
= 930 - (12% x 1,000)
= $810
This value of $810 is 18% of the balance of Xavier's sales:
= 810 / 18%
= $4,500
Added to the first $1,000, Xavier's total sales are:
= 4,500 + 1,000
= $5,500
Find out more on commission based income at brainly.com/question/13873976
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9514 1404 393
Answer:
106 m
Step-by-step explanation:
The law of sines is useful.
The angle opposite the given side of 50 m is ...
180° -83° -69° = 28°
Then the distance (d) opposite the 83° angle is ...
d/sin(83°) = (50 m)/sin(28°)
d = (sin(83°)/sin(28°))×(50 m) = 105.709 m
The ball is about 106 meters from the pin.
