Answer:
Step-by-step explanation:
In Problem 6, 3/x = tan 30 degrees, or x/3 = 1 / (tan 30 degrees), or
x = 3 / (tan 30 degrees). Using a calculator: x = 3 / (0.449) = 6.68 units
In Problem 9, we begin by finding the length of the hypotenuse of the upper triangle: sin 60 degrees = 9√3 / hypotenuse, or
hypotenuse = 9√3/ (√3 / 2) = 9/2. Then the hypotenuse of the 45-45-90 triangle is 9/2. Thus, cos 45 degrees = x / (9/2), or
2x √3
---- = -------
9 2
9√3
Cross-multiplying, we get 4x = 9√3, so that x = -------------
4
Sin squared x equals 3 cos squared x
Answer:
or
Step-by-step explanation:
step 1
Find the radius of the circular base of the cone
The volume of the cone is equal to
we have
substitute
simplify pi
step 2
Find the volume of the hemisphere
The volume is equal to
we have
----> is the same that the radius of the cone
substitute
step 3
Find the volume of the solid shape
we know that
The volume of the solid shape is equal to the volume of a cone plus the volume of a hemisphere
so
Convert to mixed number
Answer:
Option B
Step-by-step explanation:
The answer is no
Correct option is B
There are two outputs 4 and -4 for the same input of -2
So if the number is positive then the opposite is negative, vice versa.
opposite of 4 is -4
opposite of -5 is 5