Answer:
25πm²
Step-by-step explanation:
Circumference of the circular sculpture = πd
d is the diameter
Given
Circumference = 10π metres
Substitute into the formula
10π = πd
10 = d
d = 10m
Area of the sculpture = πd²/4
area of the sculpture = π(10)²/4
area of the sculpture = 100π/4
area of the sculpture = 25π m²
Hence the measurement closest to the area of the sculpture in square meters is 25πm²
Answer:
(-1, 1), (-1, 4), and (1, 4) are the vertices of a right triangle.
Step-by-step explanation:
If you were to graph these three points on a coordinate plane, you'll notice that two of the sides form a right angle together, which means this triangle will be a right triangle. If you're looking for something more specific, it would be a right scalene triangle, where all sides are different in a right triangle.
Of course you already know everything parallel sides are equals
therefore the value of each variables will be as following :
left side = right side
3y-6=24
3y=24+6
3y=30
y=30/3
y=10
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5x+2=12
5x=12-2
5x=10
x=10/5
x=2
Answer:
10058
Step-by-step explanation:
The equation is of the form
y = ab^x
Where a is the initial value, y is the final amount and x is the time
y = 6000 b^x
7200 = 6000 b^6
Divide each side by 6000
7200/6000 = b^6
1.2 = b^6
Take the 6th root on each side
1.2 ^ 1/6 = b^6 ^ 1/6
1.030853321 = b
y = 6000 (1.030853321) ^ x
Let x = 17
y = 6000 (1.030853321) ^ 17
y=10057.68696
Rounding to the nearest whole number
y = 10058
It is direct variation if x/y is a constant.
x/y = 2 / -6.6 = -1/3.3
y/x = -9.9/3 = -3.3
y/x = -6.6/ 2 = -3.3
y/x = -13.2/ 3 = -3.3
y/x = -16.2/ 3 = -3.24
So its not exactly direct variation as the last values is slightly different from the first 3.
