Answer:
Step-by-step explanation:
Part A
<u>Givens</u>
b1 = 265
b2 = 180
h = 90
<u>Formula</u>
Area = (b1 + b2)*h / 2
<u>Solution</u>
Area = (265 + 180) * 90 / 2
Area = 445 * 90 / 2
Area = 40050 / 2
Area = 20025 square meters
Part B
1 hectare = 10000 square meters
x hectare = 20025 square meters Cross multiply
x * 10000 = 20025 * 1 Divide by 10000
x = 20025 / 10000
x = 2.0025
Rounded to the nearest hectare that would be 2
Part C
The best shape is a square.
That would mean that the area is given by
s^2 = 20025
sqrt(s^2) = sqrt(20025)
s = 141.51
Each side of the rectangle (square) = 141.51
Answer:
Step-by-step explanation:
The formula for the length of an arc is s = rФ.
Thus, the arc length of a semicircle is S = rФ/2.
Here the radius is 5 (half the diameter), and so in this case the arc length is
S = (5 units)π/2, or S = (5/2)(3.14) units, or approximately S = 7.85 units
Answer:
a*b = 1/2
a/ b = 8/9
Step-by-step explanation:
a = 0.66666 and b = 0.75
To multiply it we write the decimal numbers in fraction form
a= 0.666666...
Multiply by 10 on both sides
10 a = 6.66666...
a = 0.66666...
Subtract the second equation
9a = 6
divide by 9 on both sides
so 0.6666 = 2/3
Now we convert 0.75 into fraction form
Multiply top and bottom by 100 to remove decimal
so 0.75 is 3/4
a= 2/3 and b = 3/4
The domain of the function is the set of all x's that are suitable for the given equation. In the problem, we are asked to determine the equation with the most restricted domain. Option A can have x from negative infinity to positive infinity as well as option B and option D. OPtion C can only have x equal to zero and all positive numbers. Hence the answer is C. hope that helped
Answer:
∠FJG= 135
Step-by-step explanation:
∠FJG + ∠GJH = 168 so
(6x - 15) + (x + 8) = 168
7x - 7 = 168
7x = 175
x = 25
plug it in ∠FJG
6(25) - 15 = 135
