Answer:
The answer to your question is Volume = 3.30 cm³
Step-by-step explanation:
Data
Volume = ?
height = 14.9 cm
circumference = 2.9 cm
Process
1.- Calculate the radius
circumference = 2πr
-Substitution
2.9 = 2πr
-Solve for r
r = 2.9/2π
r = 1.45/π cm
2) Calculate the volume of the cone
Volume = 1/3πr²h
-Substitution
Volume = 1/3π(1.45/π)²(14.9)
-Simplify
Volume = (1.04)(0.213)(14.9)
Volume = 3.30 cm³
Answer:
30 minutes
Step-by-step explanation:
Walk rate = 88 paces/ minute
Average length of pace = 0.875 m
Time taken to walk 2.31 km ;
The distance in metres :
1000 m = 1 km
2.31 km = (1000 * 2.31) = 2310 m
Recall :
Time taken = distance / speed
Distance walked in a minute = 88 * 0.875 = 77 m
Time taken = 2310 / 77
Time taken = 30 minutes
For the expression

, the coefficient of the x² term is 1.
Answer:

Step-by-step explanation:







- When it happens that the product of the factors is the same as zero. It is divided into two possible cases.

- We solve the two equations:

<h2>Answer: </h2>

<h3><em><u>MissSpanish</u></em></h3>
Answer:
Below
Step-by-step explanation:
You can use this formula to find the sum of an arithmetic series
Sn = n / 2 (a1 + an)
You need to find the number of terms in each series before using the formula
Tn = a + (n - 1) d
a) 53 = 5 + (n - 1) 3
n = 17
Sn = 17 / 2 (5 + 53)
= 493
b) 98 = 7 + (n - 1) 7
n = 14
Sn = 14 / 2 (7 + 98)
= 735
c) -102 = 8 + (n - 1) -5
n = 23
Sn = 23 / 2 (8 + (-102))
= - 1081
d) 41/3 = 2/3 + (n - 1) 1
n = 14
Sn = 14 / 2 (2/3 + 41/3)
= 301 / 3 or 100 1/3
Hope this helped! Best of luck <3