Answer:
b = 48
Step-by-step explanation:
a = 20
b = ?
c = 52
a^2 + b^2 = c^2
20^2 + b^2 = 52^2
400 + b^2 = 2704
b^2 = 2704 - 400
b^2 = 2304
sqrt(b^2) = sqrt(2304)
b = sqrt(2304)
b = 48
Answer:
Mean of resulting data = 7 times mean of original data=7a
Step-by-step explanation:
Given that all values in a data set are multiplied by 7. to find the mean of the new set.
Let {x1,x2....xn} be the original data set.
The mean of this data set a= 
Now multiply all values by 7
New data set
= {7x1, 7x2...7xn}
Sum of these = 7(x1+x2+..+xn) = 7 times sum of original data set
No of element = n for both the sets
Hence new mean = 7 * mean of original set.=7a
in other words, if the mean of the values in a data set is a. If each of the values in the data set were multiplied by 7, new mean would be 7a.
Answer:
Value of x = 19
Step-by-step explanation:
We know that in a parallelogram opposite sides are congruent.
So, in the given parallelogram side LM ≅ side NO
So, we can write 
Solving the equation to find value of x

So, value of x = 19
Step-by-step explanation:
19 is the greatest value
Answer:
17 units
Step-by-step explanation:
Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular
There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.
Using Pythagoras' identity in this right angle
r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )
r =
= 17