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Nana76 [90]
3 years ago
9

8. A triangle has sides with lengths of 6, 8, and 10 units, and a square has a

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0

Difference between the area of the triangle and square is 25

Step-by-step explanation:

  • Step 1: Find the area of the triangle given its 3 sides using the Heron's formula.

Area of the triangle = \sqrt{s (s-a)(s-b)(s-c)} where s = \frac{a + b + c}{2}

⇒ s = (6 + 8 + 10)/2 = 24/2 = 12

\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{12(12-6)(12-8)(12-10)}

                                    = \sqrt{12(6)(4)(2)} = \sqrt{576} = 24 sq. units

  • Step 2: Find the area of the square with perimeter = 28 units.

Perimeter of the square = 4 × side = 28

⇒ Side of the square = 28/4 = 7 units

⇒ Area of the square = (side)² = 7² = 49 sq. units

  • Step 3: Find the difference between the area of the square and triangle.

Difference = 49 - 24 = 25

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hram777 [196]

Answer:

Step-by-step explanation:

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y - 9 = 2x - 2

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8 0
3 years ago
A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level
cupoosta [38]

Answer:

The sample required is  n = 135

Step-by-step explanation:

From the question we are told that

     The  standard deviation is  \sigma = 9

      The margin of error is E =  2

     

Given that the confidence level is  99%  then the level of  significance is mathematically evaluated as

         \alpha =  100-99

        \alpha =  1 \%

        \alpha =  0.01

Next we will obtain the critical value  \frac{\alpha }{2} from the normal distribution table(reference  math dot armstrong dot edu) , the value is  

             Z_{\frac{\alpha }{2} } =  Z_{\frac{0.05 }{2} } =  2.58

The  sample size is mathematically represented as

          n = [ \frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ]^2

substituting values

           n = [ \frac{ 2.58 *  9 }{2} ]^2

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3 0
3 years ago
What is 87/297 in simplest form??
castortr0y [4]

Answer:

Reduce 87/297 to lowest terms

The simplest form of 87297 is 2999.

4 0
3 years ago
Graph the line with the equation
pochemuha

The graph of the linear equation can be seen in the image below.

<h3 /><h3>How to graph the linear equation?</h3>

Here we have the linear equation:

y = (2/5)*x - 6

To graph it, we just need to find two points on the line, and then connect them with a line.

To find the points we just evaluate in two values of x.

if x = 0.

y = (2/5)*0 - 6 = -6

Then we have the point (0, -6)

If x = 5.

y = (2/5)*5 - 6 = 2 - 6 = -4

Then we have the point (5, - 4)

Now we can graph these two points and connect them with a line. The graph of the line can be seen below.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0
2 years ago
The ratio of orange crayons to purple crayons is 2/4if there are 64 orange crayons the box how many purple crayons are there in
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2/4=1/2 two is 2 times greater than one so what is two times greater that 64?

64x2=128

6 0
3 years ago
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