Actually, the correct volume formula is:
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span>Sphere Volume = <span> (4/3) * PI * (1.25)^3
</span>Sphere Volume = (4/3) * PI *
<span>
<span>
<span>
1.953125
</span>
</span>
</span>
Sphere Volume =
<span>
<span>
<span>
8.1812308687
</span>
</span>
</span>
cubic inches
<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
Answer: 7.867 x 10^8
Step-by-step explanation:
(the “^8” is an exponent of 8)
Answer:
72
Step-by-step explanation:
4 main items
6 side orders
3 drinks
4 x 6 x 3 = 72
