To answer this question, you can use the values of the unit circle to figure out the angle measurement. Since the cosine is the x value of the circle, we can see that at 45°<span>, the x value is √2/2.
So the missing angle should be 45°</span>
Answer: The first option with sss as part of the proof
Step-by-step explanation:
The lengths of the arcs drawn in the constructions are the same, so when the line is drawn, the lengths of the sides will all be the same. SSS is proof of congruence.
CPCTC is an acronym for "corresponding parts of congruent triangles are congruent."
A and C are correct, you have to multiply 32 by 4 and by 12, then add the aswers together to find how many juice boxes total.
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.
Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
_______________________________________________
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
