Combine q terms
-30 = 12q - 10
Add 10 to both sides
-20 = 12q
Simplify
Q = -5/3
Answer:
Radius: 7.75
Volume: 1949.82
Step-by-step explanation:
The radius is half the diameter, so 15.5/2 is 7.75
The formula for a sphere is V=4/3 (πr^3). All that needs to be plugged in is the radius. You should be able to use a calculator for this problem, so the rounded answer is 1949.82.
Answer:
Step-by-step explanation:
This are similar triangle
<ABD = <ACE
CE/BD = AE/AD
33/11 = 15/AD
Let AD be x
33/11 = 15/x
Cross multiply
33x = 11×15
33x = 165
x = 165/33
x = 5
AE = AD + DE
AE = 15, AD = x = 5 and DE = y
: 15 = 5 + y
y = 15 - 5
y = 10
BD/CE = AB/AC
11/33 = 9/(x+9)
Cross multiply
11(x+9) = 9(33)
11x + 99 = 297
11x = 297 - 99
11x = 198
x = 198/11
x = 18
Answer
approximately 2.718
Step-by-step explanation
The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718. It has been found that this value occurs so frequently when mathematics is used to model physical and economic phenomena that it is convenient to write simply e.
Answer:
x=5
Step-by-step explanation:
add 6 to both sides
7x=35
divide by 7
x=5