Hello!
Since angle AFB is congruent to angle DFE we know that the angles that use the midpoint are also congruent
The answer is D) angle BFC is congruent to angle DFC
Hope this helps!
Answer:
B) y=3x
Step-by-step explanation:
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.
If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.
Answer:
(9,5)
Step-by-step explanation:
10+8/2=18/2=9
6+4/2=10/2=5
The formula for volume of cone is:
V = π
r^2 h / 3
or
π r^2
h / 3 = 36 cm^3
Simplfying in terms of r:
r^2 = 108 / π h
To find for the smallest amount of paper that can create
this cone, we call for the formula for the surface area of cone:
S = π
r sqrt (h^2 + r^2)
S = π
sqrt(108 / π h) * sqrt(h^2 + 108 / π h)
S = π sqrt(108 / π h) * sqrt[(π h^3 + 108) / π h]
Surface area = sqrt (108) * sqrt[(π h + 108
/ h^2)]
<span>Getting the 1st derivative dS / dh then
equating to 0 to get the maxima value:</span>
dS/dh = sqrt (108) ((π – 216
/ h^3) * [(π h + 108/h^2)^-1/2]
Let dS/dh = 0 so,
π – 216
/ h^3 = 0
h^3 = 216 / π
h = 4.10
cm
Calculating
for r:
r^2 = 108 / π (4.10)
r = 2.90 cm
Answers:
h = 4.10 cm
<span>r = 2.90 cm</span>
Answer:
6 GALLONS PER MINUTE
Step-by-step explanation:
42/7=6
6 gallons per minute
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