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Brut [27]
3 years ago
15

What is the length of leg s of the triangle below?

Mathematics
2 answers:
kifflom [539]3 years ago
6 0

Answer:

i normally know these but i honestly dont know but can you please put branliest

Step-by-step explanation:

timurjin [86]3 years ago
5 0

Step-by-step explanation:

Keep in mind that this triangle is a 45-45-90 triangle meaning that it's isosceles

This means that the other side is also equal to s

The best way to solve this is by using the pythagorean theorem

a^{2}+b^{2} = c^{2}

10\sqrt{2} = c (because it's the hypotenuse or the longest side)

s = a

s= b

Substitute the values into the formula stated above

a^{2}+b^{2}= c^{2}

s^{2}+s^{2} =(10\sqrt{2})^{2}

Simplify

2s^{2} = (\sqrt{102} )^{2}

2s^{2}= 102

Now continue simplifying till you completely solve it

\frac{2s^{2} }{2}= \frac{102}{2}

s^{2}= 51

\sqrt{s^{2} } = \sqrt{51}

s=\sqrt{51}

I hope this helps!!!

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Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
Nikhil asked 120 randomly chosen moviegoers to watch a clip of an upcoming movie and choose the best title. The title "Everythin
aleksandrvk [35]
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3 years ago
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EASY POINTS:
iVinArrow [24]

Answer: -750ft

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Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu
irina [24]

Answer:

The function is represented by C(d) = 75\,USD + r\cdot d.

Step-by-step explanation:

In this case, we must observe that total cost of the dog (C(d)) is the sum of two components: i) <em>Fixed cost</em> (C_{f}) - Adoption fee, ii) <em>Variable cost</em> (C_{v}) - Daily cost of feeding the dog, both measured in US dollars.

In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:

C (d) = C_{f} + C_{v}

C(d) = C_{f} + r\cdot d

Where:

d - Number of days that Kirstin owns her dog, measured in days.

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If C_{f} = 75\,USD, then:

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The function is represented by C(d) = 75\,USD + r\cdot d.

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