D value is -6
next 2 terms -9, -11
S(22) = 330
S(16) = 736
I usually ignore questions with multiple subquestions... better submit them separately!
Answer:
Sum of all three angles inside a triangle = 180°
Total number of parts = 3 + 10 + 7 = 20
Each part = 180 ÷ 20 = 9
Let us name the three angles of this triangle as ∠1 , ∠2 and ∠3 respectively .
Number of parts for ∠1 = 3 parts
∠1 = 3 × 9 = 27°
Number of parts for ∠2 = 10 parts
∠2 = 10 × 9 = 90°
Number of parts for ∠3 = 7 parts
∠3 = 7 × 9 = 63°
The three angles of this triangle measure 27° , 90° and 63° respectively
Measure of the smallest angle = 27°
Therefore , the measure of the smallest angle = 27° .
There are total of 5 digits, of which we arrange 3 of them.
Therefore using permutations we can find total possible 3-number combinations.
5P3 = 5*4*3 = 60
To be greater than 600 means first digit must be 6. (1 possibility)
A number is even only if last digit is even, 2 or 4. (2 possibilities)
The 2nd digit then can only be 3,5, (2 or 4). (3 possibilities)
The total possible even 3-digit numbers greater than 600 is product of each digit's possibilities.
---> 1*3*2 = 6
Therefore probability is 6/60 = 1/10.
Due to the inclination of the
terrestrial axis, the day has different duration in several points of the
planet, which also depends on the time of year. However, this duration remains the same throughout the year in the Equator,
which is known as the imaginary line that divides the planet in two
hemispheres: Northern Hemisphere and Southern Hemisphere.
Answer:
A
Step-by-step explanation:
Given a sinusoidal function (sine function or cos function) in the form
y = A Cos (Bx), we can say that A is the amplitude.
<em>Amplitude defines the function's maximum and minimum.</em>
The maximum of this form of function is A and the minimum is -A.
The function given is y = -Cos(8x), so A is -1
Thus, maximum value is 1 and minimum value is -1.
Correct answer is A
