Answer:
answer is : Cos(13pi/8) = 0.3826
Step-by-step explanation:
We have, Cos (13pi/8)
Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi
Hence 13pi/8 lies on fourth quadrant.
In fourth quadrant cosine will be positive.
Cos (13pi/8) = cos(3pi/2 + pi/8)
applying formula cos(A+B) = cos A cosB - sinAsinB
i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)
∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1
Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)
Cos(3pi/2 + pi/8) = 0 + 0.3826
Cos(3pi/2 + pi/8) = 0.3826
Hence we got Cos(13pi/8) = 0.3826
Answer:
$9.45
Step-by-step explanation:
1. First, you want to figure out how much one text message costs. To do this, divide the dollar amount (28.20) by the number of text messages (188). You get 0.15, or $0.15 per text message.
2. Using this $0.15 per text message, you can calculate how much 63 text messages costs. You simply multiply $0.15 by 63 to get $9.45, which is your answer.
Hope this helps! :)
Answer:
The Hindu-Arabic numeral form of the given expanded numeral is 842.
Step-by-step explanation:
The given expanded numeral is
We need to express the given expanded numeral as a Hindu-Arabic numeral.
According to Hindu-Arabic numeral the given expanded numeral is written as
On simplification we get,
Therefore the Hindu-Arabic numeral form of the given expanded numeral is 842.
Answer:
0.59049
Step-by-step explanation:
Set of all digit strings of length 5
Digit range = (0 - 9) = 10
Length of digit = 5
Total possible outcomes = 10^5 = 100000
String without a 4 ;
Digit range = (0,1,2,3,5,6,7,8,9) = 9
Length of digit = 5
Required outcome = 9^5 = 59049
Required outcome / Total possible outcomes
59049 / 100000
= 0.59049
The simplest solution:
y - intercept of the function on the graph is (0; 6).
Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept
f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6
Other functions have y - intercept equal (0; -6).
f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6
