4/7 * 5/12
...multiply straight across...
20/84
...simplify by dividing by 2/2
10/42
...simplify again
5/21; there you go
Answer:
60, 75
150 165
240 255
330 345
Step-by-step explanation:
csc 4 theta = -2 sqrt(3)/3
Write in terms of sin
1/ sin (4 theta) = -2 sqrt(3)/3
Using cross products
-2 sqrt(3) = 3 sin (4 theta)
Divide each side by 3
-2 sqrt(3)/3 = sin (4 theta)
Take the inverse sin on each side
sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))
240 +360n = 4 theta
and 300 +360n = 4 theta where n is an integer
Dividing each side by 4
240/4 +360n/4 = 4/4 theta and 300/4 +360n/4 = 4/4 theta
60 + 90n = theta and 75 +90n = theta
We want all the values between 0 and 360
Let n=0
60, 75
n=1
60+90=150 and 75+90 =165
n=2
60+180= 240 75+180=255
n=3
60+270 = 330 75+ 270 =345
Answer:
$127.63
Step-by-step explanation:
100 × (1.05)^{5}
100 being the starting value 1.05 being the percent its incressing by. (its incressing by 5% but you add that to 100% percent to make sure your number is going up not down and the 5th power is amount of times the intrest is payed basically just multiplying the equation
Answer: 5
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On the curve, the highest point has a y coordinate of y = 6
The lowest point on the curve has a y coordinate of y = -4
Subtracting the y values gets us: 6 - (-4) = 6 + 4 = 10
Cut that result in half: 10/2 = 5
The amplitude is 5. This is the vertical distance from the midline (y = 1) to either the highest point or the lowest point.
Answer:
anddddd...... whats the problem?
Step-by-step explanation: