Answer:
D. 4(s + 3) & (s + 3) + (s + 3) + (s + 3) + (s + 3)
Step-by-step explanation:
We know this is a square (which is a polygon, which requires at least 3 sides), so A & B are out. C is also out because of the first expression. All 4 sides are s + 3; what the first expression on C is saying is we're adding a 5th side of 3 to 4 sides with length s. That leaves D as our answer. Bonus: Another expression that could work for this is 4s + 12 (which is both of D's expressions simplified.).
Answer:
y = 5√2/2
x = 5
Step-by-step explanation:
First find y using the tan method: opposite/adjacent
tan(45) = 5√2/2 ÷ y
y = 5√2/2 ÷ tan(45)
y = 5√2/2
Then find x using the pythagoris theorem: c^2 = a^2 + b^2
x = √ (5√2/2)^2 + (5√2/2)^2
x = 5
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find 
To find
, we need to use z score formula:
When x = 4.2, we have:


When x = 5.1, we have:


Therefore, we have to find 
Using the standard normal table, we have:
= 

or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%
Answer:
area = 62ft
Step-by-step explanation:
Let's clear out the fraction(s):
Mult. all 3 terms by 3, obtaining 18 = 3x + 2. Simplifying, 16 = 3x.
Then x = 16/3 (answer).
Check: does (16/3) + (2/3) = 6? Yes, since 18/3 = 6.