Refer to the diagram below.
Let x = length of line segment RS.
Let Q = ∠RQS.
Let S = ∠RSQ
According to the Law of Sines,
Because the sum of angles in a triangle is 180°, therefore
∠Q = 180 -(80 + 49.68) = 50.32°
Apply the Law of Sines again to obtain
Answer: The length of RS = 2.4 (nearest tenth)
A)
d =240/a
B) 2 loads of gravel
Step-by-step explanation:
Step 1:
Given one load of gravel is 240 ft2.
We have depth = 240/area
Hence the inverse variation model is d =240/a
Step 2 :
The length and breadth of the playground is 40 ft and 24 ft
The depth of the playground is 6 in = 6/12 ft
Hence the volume of the given playground is 40 * 24 * 6/12 = 480 cu ft.
There is 240 ft2 of gravel in one load
So we need 480 cu ft of gravel = 480/240 = 2 loads of gravel.
Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
So V=(4/3) * 3.14 * 13^3 = 9198 cubic inches
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
I really hope this helps.
Answer:
x = 3
Step-by-step explanation:
95 + 85 + 100 + 27x -1 = 360
280 + 27x - 1 = 360
279 + 27x = 360
27x = 81
x = 3
Double check your work:
95 + 85 + 100 + 27(3) - 1 = 360
95 + 85 + 100 + 81 -1 =360
360 = 360
Answer:
it is 53 degrees warmer than Utah
