Answer:
The dimensions are 6 by 5 feet.
Length = 6 feet.
Width = 5 feet.
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 2W - 4 ........equation 1
22 = 2L + 2W .......equation 2
Substituting the value of "L" into equation 2, we have;
22 = 2(2W - 4) + 2W
22 = 4W - 8 + 2W
22 + 8 = 6W
30 = 6W
W = 30/6
Width, W = 5 feet.
To find the length, L
Substituting the value of "W" into equation 1, we have;
L = 2W - 4
L = 2(5) - 4
L = 10-4
Length, L =6 feet
Therefore, the dimensions of the garden are 6 by 5 feet.
Answer:
= 56/ 15 and 3 11/15
Step-by-step explanation:
1 3/5 x 2 1/3
= 8/5 x 7/3
Answer:
Step-by-step explanation:
In the given equation, the "like terms" are the constants 5/8 and 44.
It simplifies the math if we eliminate the fractions first. Note that 0.75 = 6/8, so now we have:
8(6/8)s - 8(5/8) = 44).
Multiplying all three terms by 8 (above) yields
8(6s) - 8(5) = 8(44), or
48s = 8(44 + 5), or 48s = 8(49)
Dividing both sides by 48 yields s: s = 8(49/48)
Review "like terms:" These are terms that have at least one characteristic in common. 5/8 and 44 are like terms because they are only constants (no variables are present). We must add 5/8 and 44. 0.75s does not have a "like term" in the given equation.
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
ANSWER
139°
EXPLANATION
One of the interior angle properties of a parallelogram is that adjacent interior angles are supplementary.
This means that, the adjacent interior angles add up to 180°.
If
Then
OR
