Answer:
A. 44 inches
Step-by-step explanation:
1] Add the numbers given 6 + 6 + 11 + 11 = 34 (because you are trying to find the perimeter)
2] Subtract 6 from 11, 11 - 6 = 5
3] do the same to the top 11 - 6 = 5
4] then add the new numbers together along with the given ones. 6 + 6 + 11 + 11 + 5 + 5 = 44
Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
No instructions? I'll assume you want the unit rate.
4 miles in 36 minutes = 4/36 miles in 1 minute, or 1/9 mile in 1 minute.
1 3/4 mile in 20 minutes? Multiply both figures by 3:
7 miles in 60 minutes, or 7 miles in 1 hour, or 7 mph.
