Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
Step-by-step explanation:
The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)
2/5 = x/10
The means in this equivalent ration are 5 and x. The extremes are 2 and 10.
5x = 20
Now solve =)
x = 4
That was pretty simple. Let's move on to the next one. Do exactly the same thing here:
4/10 = 6/x
60 = 4x
15 = x
That was pretty simple, too! Keep going!
6/15 = x/25
15x = 150
x = 10
All of these should be equal, so check them by dividing:
2/5 = 0.4
4/10 = 0.4
6/15 = 0.4
10/25 = 0.4
They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25
I really hope this helps you =)
Answer:
There is no following, we have data of all the people
Step-by-step explanation:
There where Sixty-five salespersons asked and the if we add all the persons that where asked it is the same. So there is no following
Fourteen people answered that they generally sell two cars; 14
nineteen generally sell three cars; 19
twelve generally sell four cars; 12
nine generally sell five cars; 9
eleven generally sell six cars 11
Adding 14+19+12+9+11=65 persons
A^2+ b^2= c^2
24^2+b^2=25^2
576+b^2=625
Sub 576
b^2= 49 b=7
Answer:
Lateral surface area of can = 47 inch² (Approx.)
Step-by-step explanation:
Given:
Diameter of given can = 3 inches
Height of given can = 5 inches
Find:
Lateral surface area of can
Computation:
Radius of can = 3 / 2 = 1.5 inch
Lateral surface area of can = Lateral surface area of cylinder
Lateral surface area of cylinder = 2πrh
Lateral surface area of can = 2πrh
Lateral surface area of can = 2(3.14)(1.5)(5)
Lateral surface area of can = 47.1
Lateral surface area of can = 47 inch² (Approx.)
