Letter D
A = 135°
B = 30°
cosAcosB - sinAsinB = cos(A+B)
cos(135°+30°)
cos(165°)
1 real solution means that it has a multiplicity aka
if r is the solution
0=(x-r)^m
theone that fits that is B, the solution is x=3
B is answer
Volume of a conical funnel = π r² h/3
v = 3.14 * (2in)² * 6in/3
v = 3.14 * 4in² * 2in
v = 25.12 in³
25.12 in³ ÷ 10 in³ per minute = 2.512 minutes
It will take 2.51 minutes for all the liquid to pass through the nozzle.
Answer:
Step-by-step explanation:
Pythagorean Theorem:
where a and b = legs and c = hypotenuse
we are given a leg and the hypotenuse so we plug in what we have into the formula
now we solve for b
step 1 subtract 20^2 from each side
finally we want to get rid of the exponent on the b
to do so we take the square root of each side
we're left with b = 21
Note: They Pythagorean theorem only works with right triangles
Answer:
BC = 40º
BMC = 40º
Step-by-step explanation: Since the measure the major and minor arcs add up to 360º, just subtract 320 from 360 to find BC which is 40º. <BMC is also 40º because the measure of the arc is equal to its corresponding angle.
