Step-by-step explanation:
remember, tan = sin/cos.
of course, one solution is x = 0. sin(0) = 0, tan(0)=0).
for the general solution we look at x <> 0.
3×sin(x) = 2×tan(x) = 2×sin(x)/cos(x)
3 = 2/cos(x)
3×cos(x) = 2
cos(x) = 2/3
x = 48.1896851...°
If it is 40% off, then u are paying 60%
0.60(20) = 12 <== on sale, it is 12 pounds
Answer:
Jessie hiked at a constant rate of 3 miles/hour
Step-by-step explanation:
Constant rate can also be called speed
The formula for constant rate /Speed = Distance (miles)/ time in hours
Distance = 1 mile
Time = 20 minutes
Converting to hours
60 minutes = 1 hour
20 minutes =
20/60
= 0.3333333333hour
Constant rate = 1mile/0.3333333333 hour
= 3.0000000003
= 3 miles/hour
Answer:
10years
Step-by-step explanation:
100%+100%=double
100/10=10 years to reach 100% so after ten years you will have 200%/double
First <u>rewrite the equation</u> in slope intercept form
slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]
<u>comparing</u> with y = mx + b
- slope: -1/4 and y-intercept: 4
x-intercept: ( then y will be 0 )
In order to graph the line
- plot x = 16 on the x-axis coordinate: (16, 0)
- plot y = 4 on the y-axis coordinate: (0, 4)
- Then using a scale/ruler draw a straight line through this points.
Graph:
