The perimeter of a rectangle garden is 48 feet. The length is 5 times the width.
2 answers:
I'll draw a diagram for you, so that it's easier to understand.
First you have to understand that the perimeter is all the sides add up together.
Let's set up an equation, using l for the length, and w for the width.
5w + w = 48
Simplify
6w = 48
Divide by 6 on both sides
w = 8
Now the value we got is actually both widths (the green sides), so the width is actually 4. Which means that the length is 20.
The answer is 4ft by 20 ft.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
First you have to understand that the perimeter is all the sides add up together.
Let's set up an equation, using l for the length, and w for the width.
5w + w = 48
Simplify
6w = 48
Divide by 6 on both sides
w = 8
Now the value we got is actually both widths (the green sides), so the width is actually 4. Which means that the length is 20.
The answer is 4ft by 20 ft.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
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Answer:
<h2>3.6°</h2>Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°
See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius 
and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given , i.e. 
.
The volume is then
The volume is then