Answer:
Width is 25 ft
length is 60 ft
Step-by-step explanation:
Here, we want to calculate the length and width of the garden
From the question, we are told that the length is 10 ft more than twice its width
So if the width is x ft
Length = 2x + 10
Mathematically, the perimeter of a rectangle i s 2(l + b)
So;
2(x + 2x + 10) = 170
2(3x + 10) = 170
3x + 10 = 85
3x = 85-10
3x = 75
x = 75/3
x = 25 ft
length is;
2(25) + 10 = 50 + 10 = 60 ft
Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to
where
(h,k) is the center
r is the radius
we have
substitute
Answer:
The last choice: 68/5 - 22/5 = 9 1/5
Step-by-step explanation:
Solve each problem:
9 3/7 = 10 3/7
The fractions are the same so look at the whole numbers.
Does 9 equal 10? No, it doesn't so this is a false statement.
332/4 = 1/83
Simplify 332/4:
332/4 = 83/1
83 does not equal 1/83 so this is a false statement.
37/5 = 5 2/5
Convert the improper fraction into a mixed number:
7 2/5 = 5 2/5
These numbers do not equal each other so this is a false.
68/5 - 22/5 = 9 1/5
Subtract the numerators on the left side of the equation:
46/5 = 9 1/5
Convert the improper fraction into a mixed number:
9 1/5 = 9 1/5
These numbers equal each other so this is a true statement!
2 years is the same as 24 months, so the equation would be:
685 = 24x + 85, where x is the monthly fee.
600 = 24x
600/24 = x
x = 25
The monthly fee is $25.
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
