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Kobotan [32]
3 years ago
10

The legs of a 45-45-90 triangle have a length of eight units. What is the length of its hypotenuse?

Mathematics
1 answer:
Feliz [49]3 years ago
6 0
The hypotenuse of a 45 45 90 triangle equals one of the legs times the square root of 2
hypotenuse = 8 * <span> <span> <span> 1.4142135624 </span> </span> </span>
hypotenuse = <span> <span> <span> 11.3137084990 </span> </span> </span>

Source:
http://www.1728.org/trig2.htm


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find the area of a circle with a diameter of four. Either enter an exact answer in terms of Pi or use 3.14 for pi as a decimal ​
Serggg [28]

Answer:

4 pi

Step-by-step explanation:

diameter = 2r

4 =2r

r =2

area = pi × (r)^2

= pi × 2^2

= 4 pi

3 0
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Pls help
soldi70 [24.7K]
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Let $f$ be a function such that $f(x+y) = x + f(y)$ for any two real numbers $x$ and $y$. if $f(0) = 2$, then what is $f(2012)?$
marusya05 [52]

<span>Given:

f(0) = 2</span>

So first of all, we let x = 2012, y = 0: 

<span>
Then, F(2012) = 2012 + f(0)

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To add, </span>the process that relates an input to an output is called a function.

 

 

<span>There are always three main parts of a function, namely:

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The classic way of writing a function is "f(x) = ... ".

 

What goes into the function is put inside parentheses () after the name of the function: So, f(x) shows us the function is called "f", and "x" goes in.

 

 

What a function does with the input can be usually seen as:

 

<span>f(x) = x2</span><span> reveals to us that function "f" takes "x<span>" and squares it.</span></span>

3 0
3 years ago
Tony made 2 fruit pies. After his family ate some of each pie, 13 of one pie remained and 56 of the other pie remained. About ho
omeli [17]

Answer:

<h2>There remains 7/6 of pie.</h2>

Step-by-step explanation:

Givens

The remaining parts are 1/3 of one pie and 5/6 of the other pie.

To find how much pie is remaining, we just need to sum those fractions.

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Therefore, there remains 7/6 of pie. They ate just 1/6.

4 0
3 years ago
Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl
Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

4a-5=2a+6

4a-2a=5+6

2a=11

Divide both sides by 2.

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C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)

The area of a triangle is

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The area of triangle ABC is

Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|

Area=\frac{1}{2}|12(-17)|

Area=\frac{1}{2}|-204|

Area=\frac{1}{2}(204)

Area=102

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0
3 years ago
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