Answer:
5
Step-by-step explanation:
The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.
Answer:
78.54
Step-by-step explanation:
The formula is 
. So, substitute the values into the equasion and get the answer.
According to the order of operations, we square the radius first, then multiply by pi. 5^2 = 25. 25 * pi = 78.5398163397. I just rounded it to the nearest hundereth.
3x² + 8x + 4
First, i divide the equation into two parenthesis, so that the first parts of both multiply to make the first term, 3x². 3x * x = 3x²
(3x + )(x + )
Then I find two numbers that multiply to make 4, which are 1 and 4, or 2 and 2.
Our options are:
(3x + 1)(x + 4)
(3x + 4)(x + 1)
(3x + 2)(3x +2)
To figure out which one to use, I'm just going to FOIL them all.
(3x + 1)(x + 4) = 3x² + 1x + 12x + 4 = 3x² + 13x + 4
(3x + 4)(x + 1) = 3x² + 4x + 3x + 4 = 3x² + 7x + 4
(3x + 2)(x +2) = 3x² + 2x + 6x + 4 = 3x² + 8x + 4
The factored form is:
(3x + 2)(x + 2)
To solve for the roots ( where the graph crosses the x axis, where y = 0) we set the equation equal to 0:
(3x + 2)(x + 2) = 0
The zero product property says that anything times 0 is 0, so we set each individual part equal to 0 and solve for the two roots.
3x + 2 = 0
3x = -2
x = -2/3
x + 2 = 0
x = -2
To find 2/3 of an hour you need to spilt the hour up so you’d say each third is 20 minutes therefore, each batch of muffins takes 40 minutes, so 40*7 you get 280 and divided by 60 it’s 4.6. I don’t know what the question is exactly asking for but they will be a little bit behind schedule with their muffins
Answer:
2x+5
Step-by-step explanation:
Formula for the perimeter of a reactangle= 2(l+b)
So,
2(l+b) = 10x+18
2(3x+4 + b) = 10x+18
Rearrange and solve
3x+4+b = 5x+9
b = 5x+9 - 3x - 4
b = 2x+5
Thus the measurement of the width = 2x+5
Hope this helps
