Answer:
The value of is 2.
Step-by-step explanation:
Given that and are secant to arcs and , which have the same central angles. Therefore, due to symmetry:
(1)
Hence, the value of is 2.
Answer:
Pat a) The unit rate of graph at left is
Part b) The unit rate of graph at right is
see the attached figure
Step-by-step explanation:
we know that
The unit rate of a linear equation is the same that the slope of the linear equation
step 1
Find the slope of the graph at left
This graph represent a proportional relationship (because the line passes through the origin)
The slope is equal to the constant of proportionality k
we have the point (1,25)
substitute the values in the formula
step 2
Find the slope of the graph at right
we have the points (2,80) and (3,120)
This graph represent a proportional relationship (because the line passes through the origin)
The slope is equal to the constant of proportionality k
Is necessary only one point to determine the constant of proportionality
take the point (2,80)
substitute the values
<u>Verify</u>
The formula to calculate the slope between two points is equal to
we have the points (2,80) and (3,120)
substitute the values
Ans(a):
We know that a function can't have repeated x-values.
In given table we see that there i no repeating x-value. That's why the given table represents function.
Ans(b):
We know that a function can't have repeated x-values.
So if in given table we see any repeating x-value then that may cause the given data set to not be a function.
like if we have 3, 4, 3, 11 in the input then it will not be a function.
Ans(c):
we can use two points say (3,5) and (4,7) to find the linear equation of the form y=mx+b
slope is given by
Noow plug value of m=2 and any point say (3,5) into y=mx+b
5=2(3)+b
5=6+b
-1=b
now plug m=2 and b=-1 in y=mx+b, we get y=2x-1
Hence required equation in function notation can be written as
f(x)=2x-1.
Now to prove that above function is correct, we just graph the given points from table and the obtained function.
We see that points lie on the grpah of f(x)=2x-1.
Which proves that our equation is correct.
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Length of rectangular sheet = 400.35 cm
Area of sheet = 100087.5 cm²
Step-by-step explanation:
Given,
Width of rectangular sheet = 250 cm
Diagonal of rectangular sheet = 472 cm
Let,
x be the length of rectangular sheet.
A diagonal of rectangular, forms a right triangle where diagonal serves as hypotenuse.
Therefore;
a = x
b = 250
c = 472
Using pythagoras theorem;
Taking square root on both sides
Length of rectangular sheet = 400.35 cm
Area of sheet = Length * Width
Area of sheet = 250*400.35
Area of sheet = 100087.5 cm²
Keywords: rectangle, area
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