Answer:
$7.60
Step-by-step explanation:
Use a linear function (again)
let x = peanuts
let y = almonds
3x+4y=27.45
5x+2y=24.05
Multiple 2nd equation by 2
3x+4y=27.45
10x+4y= 48.1
7x=20.65
x=2.95
Plug in x into either equation
10x+4y= 48.1
29.5+4y=48.1
4y=18.6
y=4.65
4.65+2.95=7.60
First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula
the second one is the smallest
Answer:
x=40 degrees
Step-by-step explanation:
a triangle is a total of 180 degrees. 180-120-20=40
Answer:
~8.66cm
Step-by-step explanation:
The length of a diagonal of a rectangular of sides a and b is

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths
is

So the solution here is

Note that the scale factor of B to A is (4 / 8) = 1/2
So....the volume of B =
Volume of A * (scale factor)^3 =
2720 * (1/2)^3 =
2720 * 1/8 =
<span>340 cm^3</span>
<span>
</span>
<span>Hope this helps :)</span>