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Answer:
- perimeter: 22 1/30 m
- area: 29 m²
Step-by-step explanation:
The perimeter is given by the formula ...
P = 2(L+W)
P = 2(4 7/20 +6 2/3) = 2(10 +61/60) = 2(11 1/60)
P = 22 1/30 . . . . meters
__
The area is given by the formula ...
A = LW
A = (4 7/20)(6 2/3) = (87/20)(20/3) = 87/3 = 29 . . . . square meters
The perimeter is 22 1/30 meters; the area is 29 square meters.
Answer:
(0, -3)
Step-by-step explanation:
Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."
Rearranging x^2+y^2+6y-72=0, we get x^2 + y^2 + 6y = 72.
x^2 is already a perfect square. Focus on rewriting y^2 + 6y as the square of a binomial: y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:
x^2 + y^2 + 6y + 9 - 9 = 72:
x^2 + (y + 3)^2 = 81
Comparing this to the standard equation of a circle with center at (h, k) and radius r,
(x - h)^2 + (y - k)^2 = r^2. Then h = 0, k = -3 and r = 9.
The center of the circle is (h, k), or (0, -3).
Answer:
The equation of the exponential function represented by the table will be:
Step-by-step explanation:
We know the equation of exponential function such as
Put x=0, and y=2 in the function
Also x=1, and y=8 in the function
Thus,
Therefore, the equation of the exponential function represented by the table will be:
(2.5 x 10^-8)(9 x 10^-10) = (2.5 x 9) x (10^(-8 + (-10))) = 22.5 x
10^(-8 - 10) = 2.25 x 10^1 x 10^-18 = 2.25 x 10^(1 + (-18)) = 2.25 x
10^(1 - 18) = 2.25 x 10^-17
Step-by-step explanation:
In order to proof the HA theorem, we consider two triangles and which are right angle triangles. The right angle lies at points and respectively.
We also consider that the hypotenuse are congruent meaning and .
Now we have taken that angle and .
Since and are 90 degrees, so angle B would be congruent to angle E i.e
Hence by Angle, side and angle congruence in both triangles we can write as, .
And this is what the HA thoerem states also
