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Ksenya-84 [330]
3 years ago
5

The width of a rectangle is 3 less than 2 times the length. If the perimeter is 51 what is the actual length and width of the re

ctangle
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
Let l=length be length and w=width

w=2l-3

To find the perimeter add all the sides of the rectangle

Perimeter=w+w+l+l

Replacing w=2l-3

(2l-3)+(2l-3)+l+l=51

6l-6=51

add to both sides 6

6l=51+6

6l=57

Divide both sides with 6

l=57/6 \\ l=9.5

w=2l-3 \\ w=2(9.5)-3\\ w=19-3\\ w=16

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
yan [13]

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

7 0
3 years ago
Please help i dont know how to do this
maxonik [38]
Hello once again!

When you see a question like this, you need to find the equation of the straight line.

The formular used is y = mx + c
Where
m = slope
c = constant

First find the slope, since it's a straight line, any 2 coordinates can be used.

m = { \frac{y_1 - y_2}{x_1-x_2} } \\ m= { \frac{16 - (- 8)}{-2 - 2} } \\ m= { \frac{24}{-4} } \\ m = -6

Now we need to substitude in the slope, and one of the coordinate you used to find the slope, to the formular to find the constant.

In this case i'm using the coordinate
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y = mx + c
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16 = 12 + c
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∴ The equation of the line is y = -6x + 4

The next step is to simply substitude in the x = 8 to the equation to find y.

y = -6(8) + 4
y = -48 + 4
y = -44
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