First, we are going to use the Pythagorean identity:
to rewrite our expression. Solving for
in our Pythagorean identity we get that
, so we can rewrite our expression as follows:
Next, we are going to use the trig identity:
to completely simplify our expression:
We can conclude that
Answer:
32 lbs
Step-by-step explanation:
Given:
1/4 spicy trail mix
3/8 regular trail mix
20 total mix
Math:
1/4 + 3/8 = 5/8
20/ (5/8) = 32
Answer:
m = -1
c = 9
Step-by-step explanation:
<em>m</em> is slope, which is the coefficient of <em>x</em>
<em>c</em> is the y-int, which is the constant
Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay==48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 
The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
9x2=18
6x3=18
1x18=18
