Answer:
<h2>
√34sin(x + 0.33π)</h2>
Step-by-step explanation:
The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.
R = √a²+b²

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;
a = 3, b = 5
R = √3²+5²
R = √9+25
R =√34

in radians;

3 cos x + 5 sin x = √34sin(x + 0.33π)
Answer:
(21, 17 )
Step-by-step explanation:
Using the midpoint formula and equating to the coordinates of the midpoint.
Let endpoint 2 have coordinates (x, y ), then
0.5(x - 3) = 9 ( multiply both sides by 2 )
x - 3 = 18 ( add 3 to both sides )
x = 21
and
0.5(y - 5) = 6 ( multiply both sides by 2 )
y - 5 = 12 ( add 5 to both sides )
y = 17
endpoint 2 = (21, 17 )
The answer to this question whould be that the area is 20
Answer:
8 boxes approx
Step-by-step explanation:
Step one:
given data
One box contains 48 bars
Required
The number of boxes needed for a total of 338 students if each person is to get at least one bar.
Step two:
this can be gotten by dividing 338 by the number of the bar in a box
= 338/48
=7.04
=8 boxes approx
He needs to purchase at least 8 box