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solmaris [256]
3 years ago
11

Can someone help me with these geometry problems ?

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0
17) 11.1
18) 21.4
19) 30.5
20) 16.5
21) 26.5
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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
What is the next number of 1 2 6 17 47 ?<br>and how?!​
geniusboy [140]

2 , 6 , 17 , 47 , <u>108</u> , ...

t(n) = 2n^3 - 8.5n^2 + 15.5n - 7

3 0
3 years ago
Please help I need help on this
LiRa [457]
1×10+7×1+6×0.1+0×0.01+1×0.001 is the answer
4 0
3 years ago
Write the recursive formula for the sequence a^n =2-5(n-1)
Zolol [24]
The formula is 2”6 hope I helped
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3 years ago
The perimeter of an equilateral triangle is 114mm. <br> State the length of one of its sides
spin [16.1K]

Answer:

Since an equilateral triangle has all three side equal then one of its side is 38mm

8 0
3 years ago
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