Answer:
78.5 in.²
Explanation:
Formula For Area Of Circle: Area = πr²
π: 3.14
r (Half Of Diameter): 5
r²: 25
3.14 · 25 = 78.5
Step-by-step explanation:
Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
this is the same as n/2 × (a1 + an), because
an = a1 + (n-1)×d
so, for the series above :
a or a1 = 2
d = 7, as every new term is the previous term plus 7.
for n
37 = a1 + (n-1)×d = 2 + (n-1)×7
and now solve for n
35 = 7n - 7
42 = 7n
n = 6
so, the sum of all terms is
6/2 × (2+37) = 3×39 = 117
Answer:
- B - tan A = 4/3, sin B = 3/5
Step-by-step explanation:
<u>First, lets find the length of the third side</u>
- b = √15² - 12² = √225 - 144 = √81 = 9
<u>Now, lets get Tan A and Sin B</u>
- Tan A = 12/9 = 4/3
- Sin B = 9/15= 3/5
Correct option is B
The answer is 72 cubic inches. This is because the formula for the volume of a cylinder is πr² × h, and the formula for the volume of a cone is (πr² × h)/3. This means that the volume of a cone with the same height and radius as the cylinder will just be a third of the volume of the cylinder, so we need to divide 216 by 3 which equals 72.
I hope this helps!
