Step-by-step explanation:
S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado
A) tornado travels 130 miles = d; find S
S = 93 log10(130) + 65
S = 261.6 mph rounds up to 262 mph
F = 9/5 C + 32
- 32 -32
subtracting - 32 from both sides
F - 32 = 9/5c
5/9 F -32 = 5/9(9/5)C
Invert 9/5 to 5/9 multiply to both sides
5/9F - 32 = C
The answer is 5/9F-32 = C
2.25 + 8.50x = 50
8.50x = 50 - 2.25
8.50x = 47.75
——— ———
8.50. 8.50
x = 5.6 hours
Hope that helps :)
Answer:
Step-by-step explanation:
We are going to use the identity
because this identities right hand side matches your expression where
and 
.
So we have that 
is equal to .
Again, nice problem. These are not super easy. You need to imagine the triangles in the figure and relate sides.
For instance: ADC, its hypotenuse is 15
For ABC, it is 20,
so 20/15 is the ratio between both triangles. Now let's choose the side with 'x'
x is one side of ADC, the corresponding side in ABC is 15 (the second longest sides). You need to rotate the triangles, etc ... That's the tricky part :)
So:
20/15 =15/x ----> x = 15*15/20 = 225/20 = 45/4
Which is C
Not sure whether it's too late to help you though!!!!
Also notice that it's kind of a product rule:
x * 20 = 15 * 15
I am sure the book explains a short way of getting to this equation, like sides opposite, blah blah, but what i told you is the reason. You asked for understanding it! Best luck!
