Answer:
Example
Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).
Step 2 SOHCAHTOA tells us we must use Cosine.
Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.
Step 4 Find the angle from your calculator using cos-1 of 0.8333:
Answer:
radius is 2.5
volume of ice cream is 58.9 cm cubed
Step-by-step explanation:
to calculate the volume of a cone v=pi x r^2 x (h/3)
v=volume
r=radius
h=height
^ means powers and roots
depth in cones is the same as height
v=3.14 x 2.5^2 x (9/3)
order of operations
v=3.14 x 2.5^2 x 3
v=3.14 x 6.25 x 3
v=19.625 x 3
v=58.875
round
v=58.9
Answer:
h = 40°
Step-by-step explanation:
These 2 angles are congruent due to the Corresponding Angles Theorem.
Answer:
x = 3
Step-by-step explanation:
The fractions need to have common denominators. So, we would make the common denominator (x + 3)(x - 3), or, x^2 - 9
Multiply the numerator by the same number or variable as the denominator and then combine.
Once their is x and a number left you would solve for x.
Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
