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TEA [102]
3 years ago
7

For the following right triangle, find the side length . Round your answer to the nearest hundredth

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Step-by-step explanation:

Since we have 90° angle that means that side opposite of it is hypotenuse, so it goes:

a=10cm b=6 c=?

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

{10}^{2}  =  {6}^{2}  +  {c}^{2}  \\  \\  100 = 36 +  {c}^{2}  \\  \\  {c}^{2}  = 100 - 36 \\  \\  {c}^{2}  = 64 \\ c =  \sqrt{64}  \\ c =8

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The diameter of a circle measures 24ft. What is the circumference of the circle? Use 3.14 for pie , and do not round your answer
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Answer:

75.36

Step-by-step explanation:


5 0
3 years ago
Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euro
blagie [28]

Answer:

Step-by-step explanation:

step a system of two equations         c = child ticket     a = adult ticket

eq 1)  2c + 1a = 8.2            multiply by 2

eq 2) 3c + 2a = 14.1

I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)

         eq 1a)  4c + 2a = 16.4

          eq 2)  3c + 2a = 14.1

subtract  (4c - 3c) + (2a -2a)  = 16.4 - 14.1  

                    c      +       0       =   2.3 euros     for one child ticket

Now find the adult ticket price,  plug 2.3 for c into eq 1)

     eq 1)  2c + 1a = 8.2

     eq 1)  2(2.3) + 1a = 8.2         solve for a

                 4.6  + a   =  8.2         substract 4.6 from both sides

                             a =  8.2 - 4.6

                               =   3.6 euros    for one adult ticket

double check using eq 2)    we know c and a values

    eq 2)  3c + 2a = 14.1

    eq 2)  3(2.3) + 2(3.6) = 14.1

                   6.9 + 7.2    =  14.1

                          14.1    =  14.1

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3 years ago
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Nitella [24]

Answer:

f(3) = 3\\g(2) = -3\\g(\frac{1}{2}) = 1\\f(2) = \frac{2}{3}\\g(-2) = 0\\f(\pi) = 2\\

Step-by-step explanation:

The functions are given f and g using coordinates.

Whenever we will ask for f(a), we look for "a" in the x coordinate of the function f and find the corresponding value. THAT IS THE ANSWER.

If we ask for g(b), we look for "b" in the x coordinate of the function g and find the corresponding value. THAT IS THE ANSWER.

So,

f(3) = 3\\g(2) = -3\\g(\frac{1}{2}) = 1\\f(2) = \frac{2}{3}\\g(-2) = 0\\f(\pi) = 2\\

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