Answer:
1/8 or 0.125
Step-by-step explanation:
Let x be the length of the sides of the square ABCD.
Therefore, the length of CN and CM is x/2.
The area of the triangle MCN is:

The area of the square ABCD is:

Thus, the probability that a random point lies in the triangle MCN is:

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.
Answer:
11 °C
Step-by-step explanation:
- Initial temperature = 6 °C
- Final temperature = - 5°C
- Change in temperature
= 6 - (-5)
= 6 + 5
= 11 °C
Hope it helps you in your learning process.
Answer:
Gradient is = 0.375
Step-by-step explanation:
Rise = 3
Run = 8
Answer:
b / (b - 8)
Step-by-step explanation:
Given that :
Litres of water held by bucket = b
Jar holds 8 litres fewer than bucket; hence, litres held by jar = b - 8
The number of times bucket can hold than jar is :
Litres held by bucket / litres held by jar
b / (b - 8)
Answer:
1. ridescost+admission=total
if x=number of tickets and y is total and cost per ride is 1.25 then
1.25x+admission=y
if we solve
when x=25, y=43.75
1.25(25)+admission=43.75
31.25+admission=43.75
minus 31.25 from both sides
admission=12.50
a.
y=1.25x+12.5
b.
x is number of tickets and y is total cost
c. math, seriously, just read what is above option a (the one in the top of the answer)
if you're too lazy then:
ridescost+admission=total
if x=number of tickets and y is total and cost per ride is 1.25 then
1.25x+admission=y
if we solve
when x=25, y=43.75
2.
(a)
m = (y2 - y1) / (x2 - x1) = (4 - 9)/(-2 - 8) = -5/(-10) = 1/2
(b)
y - y1 = m(x - x1)
Using the first given point,
y - 9 = (1/2)(x - 8)
Using the second given point,
y - 4 = (1/2)(x + 2)
note they both simplify to
y = (1/2)x + 5
(c)
y = (1/2)x + 5
3.