Answer: 12.20 feet.
Step-by-step explanation:
Observe in the figure attached that a right triangle is formed.
Then, you need to remember the identity:
In this case you can identify that:
Then, to find the length of the wooden board (x), you need to substitute values and solve for x.
Therefore, you get:
The length of the wooden board is: 12.20 feet.
b = w + 11
b = 3w − 15
Which of the following methods is correct to find Betsey's and Waldo's age?
Solve w + 11 = 3w − 15 to find the value of w.
Solve b + 11 = 3b − 15 to find the value of b.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.
Answer:
Option 1st is correct
Solve w + 11 = 3w − 15 to find the value of w.
Step-by-step explanation:
Here b represents the Betsey's age and w represents the Waldo's age
As per the statement:
Betsey is 11 years older than Waldo. Betsey's age is 15 years less than three times Waldo's age.
The system below models the relationship between b and w:
Equate these equations to solve for w, we have;
Add 15 to both sides we have;
Subtract w from both sides we have;
Divide both sides by 2 we have;
13 = w
or
w = 13 years
Substitute in b = w+11 we have;
b = 13 +11 = 24 years.
b = 24 years
Therefore. following methods is correct to find Betsey's and Waldo's age is:
The sum is 21/25.
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
2/5
This can be written as,
Multiply 5 on both the numerator and denominator.
= 2 x 5 / 5 x 5
= 10/25
Now,
10/25 + 11/25
= (10 + 11) / 25
= 21 / 25
Thus,
The sum is 21/25.
Learn more about fractions here:
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