a very fast way to do it:
Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.
Therefore, the answer is 
Answer:
2. 12 2/9
Step-by-step explanation:
Because of the choices, I assume the three addends are mixed numerals:
3 4/7 + 4 2/9 + 4 3/7 =
= 3 + 4 + 4 + 4/7 + 2/9 + 3/7
= 11 + 7/7 + 2/9
= 11 + 1 + 2/9
= 12 2/9
Answer: 2. 12 2/9
Answer:
<h2>A = 64 sq. un</h2>
Step-by-step explanation:
This is a trapezium.
The formula od an area of a trapezium:
A = 1/2(a + b) · h
We have:
a = 10, b = 6, h = 8
substitute:
A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64
Answer:
Longer side = 84 meters
Shorter side = 80 meters
Step-by-step explanation:
The hypotenuse is the longest side of the right angle triangle. Let x represent the length of the longer side of the triangle. The difference between the other two sides is 4 meters. It means that the length of the shorter side is x - 4
Applying Pythagoras theorem which is expressed as
Hypotenuse² = longer side² + shorter side²
Therefore,
116² = x² + (x - 4)²
13456 = x² + x² - 4x - 4x + 16
2x² - 8x + 16 - 13456 = 0
2x² - 8x - 13440 = 0
Dividing through by 2, it becomes
x² - 4x - 6720
x² + 80x - 84x - 6720 = 0
x(x + 80) - 84(x + 80) = 0
x - 84 = 0 or x + 80 = 0
x = 84 or x = - 80
Since the length cannot be negative, then
x = 84
Length of shorter side is
84 - 4 = 80
Answer:
[tex]x^{2} +y^{2}=r^{2}[/tex]
Step-by-step explanation:
We know that the center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r".
As given the center of circle q is origin ie,(0,0);
Now substitute the point P in the equation of the circle as it lies on it.
