Multiply both the numerator and the denominator by the same number and you'll get an equivalent fraction. For example, 3/5 times 2/2 equals 6/10, which is an equivalent fraction to 3/5. Multiply both by 8, and you have 24/40, which is also equivalent to 3/5. I hope this helped you tremendously! <span />
Answer:
Step-by-step explanation:
Notice that the segment bisects the obtuse angle.
Then by the Angle Bisector Theorem:
Cross-multiply:
Distribute:
So:
Therefore:
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>
Assuming that this is a compounding interest rate, we use the future value formula which is expressed as: F = P ( 1 + i )^n where F is the future value, P is the present value, i is the interest rate and n is the compounding periods. We do as follows:
F = P ( 1 + i )^n
8000 = 4000 ( 1 + 0.0553)^n
n = 12.88 yrs or about 13 years
Therefore, option D is the answer.
Answer:
3/7
Step-by-step explanation:
1. there were a total of 9 rooms but you minus two due to the fact the hider isnt there and so you are left with 7
2. You also minus two from five and that gives you three
3. they ask for only downstairs so it would be 3/7
