Answer:option C is the correct answer.
Step-by-step explanation:
When the ladder leans against the wall, it forms a right angle triangle with the wall. The length of the ladder becomes the hypotenuse of the right angle triangle.
Since the length of the ladder is 12 foot, then
Hypotenuse = 12 foot
The angle formed by the ladder with the ground is 75.5 degrees. Therefore, the height, y which is the distance from the point where the ladder touches the wall to the foot of the wall becomes the opposite side. It would be determined by applying trigonometric ratio
Sin θ = opposite side/hypotenuse
Sin 75.5 = y/12
1) The height of the cylinder is equal to the diameter of the sphere.
3) The radius of the sphere is half the height of the cylinder.
5) The volume of the sphere is two-thirds the volume of the cylinder.
Hope this helped! :)
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
Answer:
21,800 milliliters
Step-by-step explanation:
Here's a trick.
King Henry Died By Drinking Chocolate Milk.
King = Kilo, Henry = Hecto, Died = Deka, By = Base (liters, grams, meters), Drinking = Deci, Chocolate = Centi, Milk = Milli.
This helps to remember the order so you can move the decimal over the proper amount of times.
If you are starting at the base, and need to move to milli, you will move the decimal place 3 places to the right.
So for 21.8 liters = 21,800 milliliters
Answer:
=9
Step-by-step explanation:
3x9=27
27/3=9
