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AURORKA [14]
2 years ago
12

Find the value of x 12 5 X

Mathematics
1 answer:
steposvetlana [31]2 years ago
5 0

Answer:

x = 13

Step-by-step explanation:

Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.

Set the equation:

a² + b² = c²

let:

a = 5

b = 12

c = x

Plug in the corresponding numbers (& x) to the corresponding variables:

(5)² + (12)² = (x)²

Simplify. First, solve for the power, and then add:

x² = (5²) + (12²)

x² = (5 * 5) + (12 * 12)

x² = 25 + 144

x² =  169

Next, root both sides of the equation:

√x² = √169

x = √169 = √(13 * 13) = 13

x = 13

~

Note the rules, and it should be easier:

30-60-90° = 1 , √3 , 2

45-45-90° = 1 , 1 , √2

Any other measurements use the equation:  a² + b² = c²

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A construction company wants to build an auditorium on a trapezium shaped plot measuring 410m2. One of the parallel sides of the
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Answer:

other parallel side is 23m

Step-by-step explanation:

Let's assume other parallel sides as 'x'

One of the parallel sides of the trapezium plot measure 18m

so, y=18

distance between the two parallel sides measure 20m

so, h=20

now, we can use area of trapezium formula

A=\frac{1}{2}\times h \times (x+y)

now, we can plug values

A=\frac{1}{2}\times 20 \times (x+18)

we can set A=410

and then we can solve for x

410=\frac{1}{2}\times 20 \times (x+18)

10\left(x+18\right)=410

x+18=41

x=23


6 0
3 years ago
Billy received a raise after his first year on the job to $45,000 from his initial salary of $42,400. What was his real raise st
solong [7]

Billy get 5.9% raise after completing first year.

<h3>What is PERCENTAGE?</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Here, Billy's initial salary = $ 42,500

After raise, salary become $ 45,000

Change in salary = Raised salary - Initial salary

                            = 45000 - 42500

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% Change = change / initial salary  X 100

                  = 2500 / 42500 X 100

                  = 0.0589 X 100

                  ≈ 5.9 %

Thus, Billy get 5.9% raise after completing first year.

Learn more about Percentage from:

brainly.com/question/14979505

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2 years ago
fidel can mow the lawn in 30 minutes and Reu can mow the lawn in 60 minutes. How long will it take for them to mow the lawn toge
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3 years ago
X-y=-3<br> Anyone know how to do this ?
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X - y = -3

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The sum of two opposites equals

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