Please bear with my lengthy answer.
ED || CF - given
∠EDC = ∠DCF - alternate interior angles
m∠CED = 180 - (45+45) = 180 - 90 = 90° - sum of angles in a triangle is 180
∠FDC = ∠ECD - alternate interior angles
m∠CFD = 180 - (45+45) = 180 - 90 = 90° - sum of angles in a triangle is 180
m∠EDF = 360 - (90+90+90) = 360 - 270 = 90° - sum of angles in a quadrilateral is 360
When you solve the problem you get m=26/5 and then you have to make it into a decimal. And 26/5 is 5.2
Y=1/-2x+4 this may be wrong though, I haven’t done this in a hot minute
The solution set of the equation is: x = -3, x = 3.
<h3>How to Find the Solutions to an Equation?</h3>
Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:
x² + 12 = 21
Subtract 21 from both sides of the equation
x² + 12 - 21 = 21 - 21
x² + 12 - 21 = 0
x² - 9 = 0
Find the difference of the two squares
(x + 3)(x - 3) = 0
x = -3
x = 3
Therefore, the solution set of the equation is: x = -3, x = 3.
Learn more about solution set of equations on:
brainly.com/question/13729904
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Answer:
the pile has a height H = 15.09 ft
Step-by-step explanation:
The volume of a cone V is
V= 1/3*π*H*R²
where H= height , R=radius
if the diameter D=2*R is 3 times its height
D=3*H → 2*R=3*H → R=3/2*H
then
V= 1/3*π*H*R² = 1/3*π*H*(3/2*H)² = 1/3*π*H*9/4*H² = 1/12*π*H³
V= 1/12*π*H³
if the volume is V=900 ft³ , then solving for H
V= 1/12*π*H³
H = ∛(12*V/π) = ∛(12*900 ft³/π) = 15.09 ft
H = 15.09 ft
then the pile has a height H = 15.09 ft
