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meriva
3 years ago
13

A rectangular garden has a width that is 8 feet less than twice the length. Find the dimensions if the perimeter is 20 feet.

Mathematics
1 answer:
krok68 [10]3 years ago
4 0

Answer:

length = 6 feet

width = 4 feet

Step-by-step explanation:

To find the dimensions of the rectangle, you can set up a variable and an expression that will equal the perimeter of the figure.  Given l = length, width is '8 feet less than twice the length' or w = 2l - 8.

The general formula for perimeter of a rectangle is:

2w + 2l = P, where w = width and l = length

Using the variable and expression from above and the perimeter of 20 feet:

2(2l - 8)+ 2l = 20

distribute: 4l - 16 + 2l = 20

combine like terms: 6l - 16 = 20

add 16 to both sides: 6l - 16 + 16 = 20 + 16 or 6l = 36

divide and solve for 'l':  6l/6 = 36/6, or l = 6 feet

solve for 'w':  w = 2(6) - 8 or w = 12 - 8 = 4 feet

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I need help with this question. thanks.
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Answer:

x<40

Step-by-step explanation:

x+10<50

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8 0
2 years ago
Please help with 3 questions and show all work!!!
sergeinik [125]
Question 1:
Since the triangles are congruent, we know that QS = TV
This means that 
3v + 2 = 7v - 6
Subtract both sides by 2
3v = 7v - 8
Subtract 7v from both sides
-4v = -8
Divide both sides by -4
v = 2
Plug this value back into 3v + 2 and you get 8.
QS = 8
Since the triangles are congruent
QS = 8    AND    TV = 8

Question 2:
So we know that AC = AC because that's a shared side.
It's also given that BC = CD.
In order for two triangles to be congruent by SAS, the angle between the two sides must be congruent.
That means angle C must be congruent to angle C from the other triangle.

Question 3:
We know that AC = AC because it's a shared side.
We also know that angle A from one triangle is equal to angle C from the other.
However, for a triangle to be congruent by SAS, the congruent angle must be between two congruent sides. 
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Have an awesome day! :)
3 0
3 years ago
Kim is making a bouquet for her friend. She used x tulips and some daffodils in the bouquet. The number of daffodils is equal to
Zolol [24]

Answer:

16

Step-by-step explanation:

So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.

So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.

So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.

Sorry I am bad at explaining things, but I hope this helps anyway!

5 0
3 years ago
Read 2 more answers
Select the correct answer.
shtirl [24]

Answer:

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5 0
3 years ago
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Alenkinab [10]

Answer:

I = (70) x (0.03) x (12)

Step-by-step explanation:

The general formula of simple interest formula is:  I = PRT where I = simple interest, P = principal amount, R = interest rate, T = time (in years).  Given that the initial investment is $70, the interest rate is 3% (or 0.03 as a decimal) and the time is 12 years, you can form the following:  

I = (70) x (0.03) x (12)

8 0
4 years ago
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