Answer:
10 ft/s
Step-by-step explanation:
If Kristina is running at a rate of 11 ft/s and on a circular track with radius of 44 ft, then her angular speed is:

And so is Darrin's angular speed. That means his rate is

Answer: y = 1/2x + 3
Step-by-step explanation:
Use the equation y=mx +b
Find the slope (m) of the line by finding the difference in y over the difference in x. Or "rise over run".
The y-intercept (b) is 3 (when x is zero, it is y).
Answer:
1
Step-by-step explanation:
<IHG = 162
<IHK = 4x + 4
<KHG = 8x + 2
<IHG + <IHK + <KHG = 180° (sum of angles in a triangle is equal to 180°)
See attachment for better illustration of the triangle
162 + (4x + 4) + (8x + 2) = 180
162 + 4x + 4 + 8x + 2 = 180
168 + 12x = 180
Collect liketerms
12x = 180 - 168
12x = 12
x = 1
Answer:

Step-by-step explanation:
Please find the attached image for the quadrilateral QRST.
We have been given that
. We are asked to find the area of quadrilateral QRST.
Upon looking at the image of quadrilateral QRST, we can see that quadrilateral QRST is a kite as it has one pair of diagonally opposite equal angles (98 degrees).
We know that area of kite is equal to half the product of its diagonal.
We can see from our image that QS and RT are diagonal of kite, so the area of quadrilateral QRST would be:




Therefore, the area of quadrilateral QRST is 216 square units.
Answer:
6,8,
Step-by-step explanation: