#1 is "given"; #2 is angle 3 is congruent to angle 4; #3 is angle 1 is congruent to angle 2; #4 is RF is conguent to RF; #5 is ASA congruency; #6 is CPCTC
Alright, so we'll be playing a little with variables around here. The question tells you the length of a rectangle is six times its width, or that l=6w.
The perimeter of a rectangle is 2l + 2w (two times the length + two times the width). Since we established that l=6w...
2(6w) + 2w = 98 yd
12w + 2w = 98 yd
14w=98 yd
w=7 yd.
But it doesn't stop there. We found that the width is 7 yd. So the length is 6w, or 6 x 7 yd, which is 42 yd. To find the area of a rectangle, you multiply the length by the width.
So...42 yd x 7 yd = 294 yd^2.
Hope that helped.
Answer:
D. 348
Step-by-step explanation:
The volume of the square prisma is given by the following formula:
In which h is the height, and s is the side of the base.
Let's use implicit derivatives to solve this problem:
In this problem, we have that:
So
So the correct answer is:
D. 348
Answer:
Step-by-step explanation:
It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...
2(4x² -4x -3)
To factor this, you are looking for factors of (4)(-3) that have a sum of -4.
-12 = 1(-12) = 2(-6) = 3(-4)
These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.
= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)
Of these, the factors that are on your list of choices are ...
From least the greatest the answer would be 7/12 .75 5/6