The path is the hypotenuse of a right triangle with legs 30 and 120.
30² + 120² = c²
900 + 14400 = c²
15300 = c²
c=√15300 ≈123.7'
instead of walking 30+120=150 feet they save 26.3 feet by taking the shortcut
Answer:
36+42=6(6+7)
Step-by-step explanation:
6x6 is 36 and 6 times 7 is 42.
The distributive property makes this equation true.
Multiply the term outside of the parentheses by each term in the parentheses and then add both terms. In this case the terms are 36 and 42.
Answer:
6 =v
Step-by-step explanation:
-5(v - 1) = -6- (1 + 3v)
Distribute
-5v +5 = -6 -1 -3v
Combine like terms
-5v +5 = -7 -3v
Add 5v to each side
-5v+5v +5 = -7 -3v+5v
5 = -7+2v
Add 7 to each side
5+7 = -7+7 +2v
12 = 2v
Divide each side by 2
12/2 = 2v/2
6 =v
The area of the rectangle will be 150 square meters.
<h3>What is an area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that:-
- The length of a rectangle is 5 m longer than its width.
- The perimeter of the rectangle is 50 m.
The area will be calculated as follows:-
From the given condition in the question, we can form two linear equations they are:-
The length of a rectangle is 5 m longer than its width.
L = w + 5
L - w = 5
The perimeter of the rectangle is 50 m.
P = 2 (L + w )
2 ( L+ w ) = 50
L + w = 25
by solving the two equations we will get the values of L and w.
L - w = 5 or w = L - 5
L + w = 25
L + L - 5 = 25
2L = 30
L = 30 / 2
L = 15
Put the value of L in any equation to get w.
L - w = 5
15 - w = 5
w = 10
Now the area of the rectangle will be:-
A = L x w
A = 15 x 5
A = 150 square meters.
Therefore the area of the rectangle will be 150 square meters.
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Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.
Step-by-step explanation:
