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KiRa [710]
3 years ago
9

If a square had a perimeter of 20cm, find the length of the diagonal. round to the nearest tenth.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

Answer:

The lenght of the diagonal is 7.1cm

Step-by-step explanation:

First we have to calculate how much each side of the square measures

p = perimeter = 20cm

s = side

p = 4 * s

we replace with the known values

20cm = 4 * s

20cm / 4 = s

5cm = s

Each side of the square measures 5cm

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 5cm

b = leg 2 = 5cm

h² = a² + b²

we replace the known values

h² = (5cm)² + (5cm)²

h² = 25cm² + 25cm²

h² = 50cm²

h = √(50cm²)

h = 7.07cm

Round to the nearest tenth

h = 7.07cm  = 7.1cm

The length of the hypotenuse is 7.1cm

The hypotenuse of the triangle is the diagonal of the square

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8 0
3 years ago
I dont know how to do graphing pls help
yarga [219]

Answer:

Solution: (-1, -1)

Step-by-step explanation:

y=4x+2

y=-4/3x-2

Solve by graphing.

First, you need to plot the y-intercept.

y=4x+<u>2</u>

2 will be your y-intercept.

Next, you plot your slope.

y=<u>4x</u>+2

From your y-intercept, you will go up 4 and right one space, if you run out of space go down 4 and left 1.

Now repeat the same steps for the next one.

y=-4/3x<u>-2</u>

Plot your y-intercept.

y=<u>-4/3x</u>-2

because your slope is negative you will go down 4 and right 3, if you run out of room go up 4 and left 3.

Then draw connecting lines and wherever the lines intersect, that's going to be your solution. In this case, the solution is (-1, -1).

Hope this helps :)

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