Work shown above! Greatest common monomial is 12x^2y
<u><em>Answer:</em></u>
6.9 oz and 8.1 oz
<u><em>Explanation:</em></u>
<u>The data collected by Lucilla is as follows:</u>
7.1 oz
6.9 oz
7.3 oz
7.6 oz
8.1 oz
7.5 oz
<u>We need to put this data in order, this will give us:</u>
6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1
<u>We can note that:</u>
smallest value is 6.9 oz
largest value is 8.1 oz
all other values fall in this range
<u>Therefore,</u> the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz
Hope this helps :)
Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
and
so we fill in the formula accordingly and then simplify:

cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
and filling in the formula:

I'm not sure why you have 7/2 there...
Answer:
x divided by 4+3=8
Step-by-step explanation: quotient is the division part
The length and width of the rectangle would be 20*4 or 10*8. hope that helped