Answer:27, 0.3, 7/25, 0.274, 13/50, 0.25
Step-by-step explanation:
1) 136 is the circumference of a circle with what area? we know C=πd.
136=πd
136/π=d
d=43.290 so the radius is half that, or
r=21.645
taking area as our measure of size,
A=πr²
A=π•21.645²
A=1471.855. answer C is closest. difference is in how they and I rounded
2) c, e, and f
It is not.
400 decimeters = 4,000 cm
4,000 cm = 40 m
13
good job. really excelling :)
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4