In a toy store, the ratio of the number of teddy bears to the number of dolls is 7:5. If the store has 140 teddy bears, how ma
2 answers:
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The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,
( )
25 + ( + 1 - 2x ) =
25 + 1 -2x = 0 ( ∵ Eliminate in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
The sum of the lengths of three sides of the rectangle, gives the length
of the fencing, while one third of the rectangle area is for the pavement.
Responses:
Project A: The formula for the length of the fencing is, L = 4·x - 1
Project B: Length of the fancy wall = 2·x + 1
<h3>Which method can be used to find the length and area of paving from the given equations?</h3>
Project A: Let QP and SR represent the longest sides of the rectangle, we have;
PQ = SR = 2·x + 1
Given parameters are;
Length of the rectangular plot = 2·x + 1
Width of the rectangular plot = x - 1
Vertices of the rectangular plot are; QPSR
Project A: Let QP and SR represent the longest sides of the rectangle, we have;
PQ = SR = 2·x + 1
Which gives;
SP = QR = x - 1
The length of the fencing, L = SP + PQ + QR = x - 1 + 2·x + 1 + x - 1 = 4·x - 1
- The formula for the length of the fencing is, L =<u> 4·x - 1</u>
Project B: The front side is SR
Therefore;
- Length of the fancy wall = <u>2·x + 1</u>
Project C:
Area, A = Length × Width
Area of the plot, A = (2·x + 1) × (x - 1) = 2·x² - x - 1
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