Answer:
R = 4cm
Step-by-step explanation:
V = π(R)²h = 480π
Divide by π
(R)²h = 480
Substitute h with 30
30*(R)² = 480
Divide by 30
(R)² = 16
Square root
R = 4cm
We do not accept R= -4 because it's a length, so it must be positive.
Billy, let's recall what a linear pair of angles is:
• They are formed when two lines intersect.
,
• Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
,
• The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Upon saying that we have that:
• CAD and DAE are linear pairs
,
• CAD and CAB are linear pairs
,
• DAE and BAE are linear pairs
,
• DAE and DAC are linear pairs
Now, you are ready to select all the options that actually apply.
8z=4(2z+1)
First you would distribute the constant into the numbers in the parentheses. so
8z=8z+4
then you would combine like terms which in this case would result in a zero.
8z-8z=0 So the z would be zero or no solution.
Answer:
x = 5, y = 5
Step-by-step explanation:
Answer:
b= 9.17 ft
Step-by-step explanation:
The 4 feet from the wall is the bottom part of the triangle. The 10 ft. ladder is the hypotenuse of the triangle. Use the Pythagorean Theorem and substitute the known values.
a^2+b^2=c^2
4^2+b^2=10^2
Then square all the known values
16+b^2=100
Then get b by itself
b^2=-16+100
add -16 and 100
b^2=84
and finally square root both sides of the equation
b=9.16515 ft or 9.17 ft
