Answer:
Step-by-step explanation:
axiom goes with a given definition assumed to be true
theorem goes with a logical argument showing that a theorem is true
proof is a statement that requires proof
Answer:
This ordered pair is NOT a solution of the equation.
Step-by-step explanation:
First, it is important to note that ordered pairs consist of (x, y) so in this case
x = 15 and y = -3. And that any variable directly next to a number calls for multiplication. So, plugging in the variables the equation would look like
"-3 = 5 x 15"
To see if 5 x 15 = -3 we will multiply them. 5 x 15 actually equals 75 not -3. So we know this ordered pair is NOT the solution for the problem.
Answer:
Distance between the surface and source of light will be increased by 6 meters.
Step-by-step explanation:
The illuminance of a surface varies inversely with the square of ts distance from the light source.
Let illuminance of the surface = x lumens per square meter
and distance from a light source = y meter.
Now x ∝
Or [k = proportionality constant]
Now we will find the value of k.
k = xy²
k = 120×(6)²
k = 4320
We have to calculate the distance of the source if illuminance of the surface is 30 lumens per square meter.
y² =
y² = 144
y = √144 = 12 meters
So the source of the light will be shifted away from the surface = 12 - 6 = 6 meters.
Answer:
1/40 or 0.025
Step-by-step explanation:
40 is an acute angle.
30 is an acute angel.
110 is an obtuse angle.
The easiest way to remember is anything below 90° (which is a right angle) is acute (think, cute = small). Anything above 180° is obtuse.