Answer is B. 48
By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.
The function given can be classified as a function. That is option C.
<h3>What is a function in mathematics?</h3>
Function can be defined as the expression that has both an x domain value and a y range value and it's being classified based on the quality of these values.
A function can be represented based on their roster forms.
Using the function equation given, f(X) = 10.2^2
Here, the first element is the domain or the x value and the second element is the range or the f(x) value of the function.
Learn more about arithmetic function here:
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Answer:
The route across the park is 40 meter shorter than the route around its edges.
Step-by-step explanation:
We have to calculate the distance for both routes
As the route around the edges is straight, we have to find the sum of length of both edges
Let 
be the distance of route around edges
Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.
We can use Pythagoras theorem to find the length of the diagonal
So,
In the given scenario
P = 60
B = 80
Now
In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.
Hence,
The route across the park is 40 meter shorter than the route around its edges.
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
Answer:
-1
Step-by-step explanation:
Twice a number of 4 equals 8
4×2=8
less than 9 of the quotient (answer) of twice a number of 4, is -1
8-9= -1
