Answer:
x > 9.
Step-by-step explanation:
Here it is just simplifying the inequality.
6 - 2/3x < x - 9
Add 2/3x to both sides.
6 < 5/3x - 9
Add 9 to both sides.
15 < 5/3x
Multiply by 3/5.
9 < x
Flip it.
x > 9.
Answer:
10, 22, 48.4, 106.48, 234.256
Step-by-step explanation:
The first term is already given it is 10.
The second term is the first term times 2.2.
10×2.2=22
The second term is 22.
The third term is the second term times 2.2.
22×2.2=48.4
The third term is 48.4.
The fourth term is the third term times 2.2.
48.4×2.2=106.48
The fourth term is 106.48.
The fifth term is the fourth term times 2.2.
106.48×2.2=234.256
The fifth term is 234.256.
Answer:
x=2 and y=1
Step-by-step explanation:
Rewrite equations:
y=−x+3;y=x−1
Step: Solve
y=−x+3
Step: Substitute−x+3foryiny=x−1:
y=x−1
−x+3=x−1
−x+3+−x=x−1+−x(Add -x to both sides)
−2x+3=−1
−2x+3+−3=−1+−3(Add -3 to both sides)
−2x=−4−2x−2=−4−2
(Divide both sides by -2)
x=2
Step: Substitute2forxiny=−x+3:
y=−x+3
y=−2+3
y=1(Simplify both sides of the equation)
Hope this Helps you :)
Answer:
b = 8
c = 16
Step-by-step explanation:
From the given right triangle,
a =
, m(∠B) = 30°
By applying sine rule in the given triangle,
cos(B) = 
cos(B) = 
cos(30°) = 

c = 16
Further we apply tangent rule,
tan(B) = 
tan(30°) = 

b = 8
Circumference = 2πr
Since you know the diameter is 300, you divide it by 2 to find the radius. Therefore, the radius is 150.
Now plug it into the formula: C = 2(3.14)(150)
C = 942
Answer: Circumference is 942 feet