Easy
compare
y²=4px vs
y²=-4x
y²=y²
4px=-4x
divide both sides by x
4p=-4
divide both sides by 4
p=-1
p=-1
Answer:
654 1/2 cm³
Step-by-step explanation:
First the volume of the cylinder, the formula for that is πr²h
Radius is half of diameter so 7/2=3.5
3.5^2=12.25
12.25x22/7=38.5
38.5x15=577.5
Now the cone, the formula for this is πr²h/3
It has the same radius as the cylinder so 3.5^2=12.25
12.25x22/7=38.5
38.5x6=231
231/3=77
Now we add them together to find total volume.
577.5+77=654.5
We'll use the Pythagorean Theorem (otherwise known as the Distance Formula):
Going from Q to P, x increases by 1 and y increases by 7. Thus, the component form of QP is <1,7>, and the magnitude of this vector is √(1^2+7^2) = 5√2.
Note: this is equivalent to <1, 7>, square root of 50.
Answer:
Step-by-step explanation:
We can easily determine the exact value of this unknown angle by breaking it into known angles that can add together to give up 105. For example, 105 degrees is 60 + 45, both of which are found on the unit circle. We ill also use the trig identity for the sum of the cos of 2 angles which is:
These values are found on the units circle, so make sure you have one handy. Those values fill in as follows:
which simplifies to
