Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3
<h3 /><h3>SOH CAH TOA identity</h3>
The identity is used to find the measure of sides and acute angles of a right triangle
From the diagram shown, <ABC is the reference abgle hence;
Opposite side = 2,4cm
Hypotenuse .=10.3cm
According to the identity
sin x = opp/hyp
sinx = 2.4/10.3
sinx = 0.233
x = 13.47 degrees
Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3
Learn more on SOH CAH TOA here: brainly.com/question/20734777
a+b=350 => a=350 - b
3a + 5b = 1450
3(350-b)+b=1450
1050-3b+5b=1450
2b=400
b=200
a=150