Answer:
All
Step-by-step explanation:
The answer is 1, 2, 3
I, II, III
Answer:
m is the slope and b is the y-intercept. Therefore, for the equation y=x+5 , the slope is 1 , and the y-intercept is 5
Step-by-step explanation:
3D8 is divisible by 9 ⇒ sum 3+D+8 is divisible by 9
⇒ 11+D=18, D=18-11, D=7
⇒ 3D8= 378
abc - 378 = 269
abc= 269+378
abc= 647
Answer:
about 3.9886 miles, or 21,060 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds us of the relationship between sides of a right triangle and the trig functions of the angles. If the balloon height is represented by h, and the distance from the spot below the balloon to the nearest observer is x, then we know ...
tan(59°) = h/x
and
tan(23°) = h/(x+7)
If we invert the ratios, we can express these a little differently:
cot(59°) = tan(31°) = x/h
cot(23°) = tan(67°) = (x+7)/h
We can multiply both equations by h and subtract the first product from the second.
h·tan(67°) -h·tan(31°) = (x+7) -(x)
h(tan(67°) -tan(31°)) = 7
h = 7/(tan(67°) -tan(31°)) ≈ 3.988623 . . . . miles
The height of the balloon is about 3.9886 miles.
_____
Comment on this geometry
The working of this problem assumes a flat earth. The altitude is such that oxygen would be required by the "sightseers".