X+y=16
the sum of the squares is
x^2+y^2=sum
solve for y in first equation
x+y=16
y=16-x
subsitiute that for y in other equation
x^2+(16-x)^2=sum
x^2+x^2-32x+256=sum
2x^2-32x+256=sum
take derivitive to find the minimum value (or just find the vertex because the parabola opens up)
derivitive is
4x-32=derivitve of sum
the max/min is where the derivitive equals 0
4x-32=0
4x=32
x=8
at x=8
so then y=16-8=8
the smallest value then is 8^2+8^2=64+64=128
“Three decimal places” is the same as “the nearest thousandth.” So, for example, if you are asked to round 3.264 to two decimal places it means the same as if your are asked to round 3.264 to the nearest hundredth. Some questions, like the example below, will ask you to “show your answer correct to two decimal places."
One of the smallest species of insects in the world is cataphractus cinctus, a type of wasp. the average mass of this wasp is 5 μg.
1 μg or microgram is 10^-6 grams
5 μg * (10^-6/ 1 μg) = 5.0 × 10^-6 grams
Answer:
72 degrees.
Step-by-step explanation:
If the angle is x degrees its complement is 90-x degrees and it's supplement is 180-x degrees.
4(90-x) = 2/3(180 - x)
360 - 4x = 120 - 2/3 x
360 - 120 = -2/3 x + 4x
240 = -2/3 + 12/3 x
240 = 10/3 x
x = 240 * 3/10
x = 72 degrees.
P + S = 180
105 + x+65=180
x=10
