Answer: Length of AB is 16 cm
Step-by-step explanation:
Given: Diameter of a circle is 20 cm and CE = 4 cm
Now as shown in figure AO, BO, CO are radii

Therefore
AO=BO=CO= 10 cm
Now

Now in Δ OEB
∠OEB =90°
Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.
So we have

Now as we know perpendicular to the chord from the center of a circle bisect the chord.
Therefore

Hence , the length of AB is 16 cm .
1. 500000 cm
2. 16 pints
3. 480 mL
4. 2640 ft
To set up or model a linear equation to fit a real-world application, we must first determine the known quantities and define the unknown quantity as a variable. Then, we begin to interpret the words as mathematical expressions using mathematical symbols. Let us use the car rental example above. In this case, a known cost, such as $0.10/mi, is multiplied by an unknown quantity, the number of miles driven. Therefore, we can write
0.10
x
. This expression represents a variable cost because it changes according to the number of miles driven.
If a quantity is independent of a variable, we usually just add or subtract it according to the problem. As these amounts do not change, we call them fixed costs. Consider a car rental agency that charges $0.10/mi plus a daily fee of $50. We can use these quantities to model an equation that can be used to find the daily car rental cost
C
.
C
=
0.10
x
+
50
When dealing with real-world applications, there are certain expressions that we can translate directly into math. The table lists some common verbal expressions and their equivalent mathematical expressions.
33/54 = 44/(a+44)
33(a+44) = 44*54
33a+ 1452 = 2376
33a = 924
a = 28
c = sqrt (33^2 + 44^2)
c = sqrt(1089 + 1936)
c = sqrt(3025)
c = 55
33/54 = 55/(b+55)
33(b+55) = 55*54
33b+ 1815 = 2970
33b = 1155
b = 35
answer
a = 28, b = 35, c = 55
Answer:

Step-by-step explanation:
