Answer:
See below.
Step-by-step explanation:
No odd number is divisible by 2 evenly. All of them leave a remainder of 0.5
For example 19/2 = 9.5
So the next 5 are 21 23 25 27 29
3/10-2/5-3/4 would be least to greatest.
Hope this helps!
Answer:
113.1 cubic inches
Step-by-step explanation:
The volume of a cylinder is given by the formula:
Where
V is the volume
r is the radius
h is the height
Given, h = 9 and r = 2, we substitute and find the volume:
We need answer to nearest tenth, that is 1 decimal place, so we round of the answer as:
113.1 cubic inches
Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
9514 1404 393
Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
_____
If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.
