Answer:
C option is correct.
t = 8 +- √
1−
4
d
Step-by-step explanation:
d=−16t^2 +4t
t= (1+
√
1−
4
d) / 8
t
=
(1
−
√
1
−
4
d ) / 8
Answer:
Yes, it is not a diameter
Step-by-step explanation:
It's going through the circle (sphere) which makes it a diameter
I and D are not going straight through the middle
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Answer:
1. 0.8 cm
2. 1.6 cm
Step-by-step explanation:
1.
The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".
We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.
So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

Hene, 0.8 centimeters would be the distance in 2nd map
2.
A scale of 1:50 means 1 cm equal 50 cm
So, 0.8m would be
0.8 * 100 = 80 cm
Hence, 80 cm would be represented by 80/50 on the map, that is:

That is 1.6 centimeters
115 = 10X + 0.25(60)
115 = 10x +15 (this is the equation to use)
100=10x
x=10 hours