Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Answer:
20 seconds
Step-by-step explanation:
speed = distance/time
distance = speed * time
The faster racer will catch up to the slower racer in x meters ahead of the slower racer.
The faster racer is 40 meters behind the slower racer, so he travels x + 40 until he catches up.
Slower racer:
speed = 12 m/s
distance = x
time = t
Faster racer:
speed = 14 m/s
distance = x + 40
time = t (the same time as the slower racer)
Slower racer:
distance = speed * time
x = 12t
Faster racer:
x + 40 = 14t
System of equations:
x = 12t
x + 40 = 14t
Since the fist equation is already solved for x, substitute 12t for x in the second equation and solve for t.
12t + 40 = 14t
40 = 2t
20 = t
t = 20
The faster racer catches up in 20 seconds.
Answer:
960 cubic centimeters
Step-by-step explanation:
Base area is area of triangle: b*h*1/2
= 12*8*1/2 = 48
Base area times height is 48*20 = 960
Josh will because 22 isn't a multiple of 6
6: 6, 12,18,24,30,36,42
You see 22 isn't here
So Josh will have left over.
~JZ
Hope it helps
Answer:
B
Step-by-step explanation:
We can observe relationship between demand and price in the sense that, price of a commodity can influence the demand for such commodity. However, we must understand that price is usually not the only explanatory variable for demand in most cases.
Meanwhile, for this question, demand is the dependent variable because it is a function of price. That is:
==> Demand = f(Price)
And price is the independent variable.
We assume that if price of a commodity increase, the demand will decrease if there is a substitute goods in the market.
But, in a monopoly, any increase in price of the commodity might cause decrease in demand only for a while particularly if such goods is a daily necessities. This is largely due to the fact that, the consumers has no other substitute and the goods is important to their daily needs. Hence, any increase in price will rather cause economic hardship on the consumer in a monopoly market.
In conclusion, price determines demand! Thus, the situation can be described by a function. The dependent variable is the demand and the independent variable is the price.
