Answer:
a=L² is is the formula for the area of square. where L represent the length.
a=(12cm)²
a=144cm²
p=4(L) is the formula for the perimeter of a square. where L represent the length
p=4(12cm)
p=48cm
The correct answer for the given problem above would be the fourth triangle. So here is the given solution: Since Triangle 1 is already given with a measurement of 50 inches, and 80% of 50 inches if 40. Triangle 2 then is 40 inches. 80% of 40 is 32, so triangle 3 is 32 inches, and then 80% of 32 is 25.6 inches so triangle 4 is 25.6 inches. Therefore, the triangle that will first have a side length of less than 29 inches is triangle 4.
Answer: 0.9649
Step-by-step explanation:
Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.
Given : For the month of March in a certain city, the probability that days are cloudy :
Also in the month of March in the same city,, the probability that the days are cloudy and rainy :
Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-
![\Rightarrow\ P(B|A)=\dfrac{0.55}{0.57}\\\\=0.964912280702\approx0.9649\ \ \text{[Rounded to four decimal places.]}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20P%28B%7CA%29%3D%5Cdfrac%7B0.55%7D%7B0.57%7D%5C%5C%5C%5C%3D0.964912280702%5Capprox0.9649%5C%20%5C%20%5Ctext%7B%5BRounded%20to%20four%20decimal%20places.%5D%7D)
Hence, the probability that a randomly selected day in March will be rainy if it is cloudy = 0.9649
Answer:
y-intercept = 1
Step-by-step explanation:
y = -3x + b
(1 , -2)
Plugin the equation
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
1 = b
Answer:12c + 30b ≤ 360
Step-by-step explanation:
Your math problem requires us to convert the word problem into math before we can solve the math. So let's try to do that first.
First, let's make a math equation to represent the amount of time.
The amount of time to bake "c" batches of cookies = (# of minutes per batch) x (# of batches) = 12 x c = 12c
Similarly for the amount of time to bake "b" batches of brownies = (# of minutes per batch) x (# of batches) = 30 x b = 30b
This is going to look like a format of:
(amount of time to bake cookies) + (amount of time to bake brownies) ≤ (total amount of time)
This person wants the (total amount of time) to be "at most 6 hours" but we can't just put "6" as our number because the other amounts of time are in "minutes".
6 hours * 60 minutes in an hour = 360 minutes
So our first equation becomes:
12c + 30b ≤ 360
