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natali 33 [55]
3 years ago
6

What is the length of the long leg if the short leg is 3 and the hypotenuse is 16

Mathematics
2 answers:
Neko [114]3 years ago
8 0

Answer:

b= 15.72 (rounded) or √247

Step-by-step explanation:

a^2+b^2 = c^2

--> first set up a equation following the Pythagorean theorem

3^2 + b^2 = 16^2

--> simplify

b= 15.72 (rounded) or √247

hope this helped :)

Lerok [7]3 years ago
3 0

Answer:

leg^2 + leg^2 = hypotenuse^2

3^2 + x^2 = 6^2

6^2= 36

3^2 = 9

36 - 9 = 27

sqrt of 27 = 5.196

Rounded = 5.2

Hope this helps

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A credit union client deposits $3,300 in an account earning 6.5% interest, compounded annually. What will the balance of the acc
astra-53 [7]

Answer:

The balance of account at the end of 36 years is $31,849.29

Step-by-step explanation:

We are given the following in the question:

P = $3,300

r = 6.5% = 0.065

t = 36 years

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

Since interest is compounded annualy we use n = 1

A = 3300\bigg(1+\dfrac{0.065}{1}\bigg)^{36}\\\\A = \$31,849.29

Thus, balance of account at the end of 36 years is $31,849.29

6 0
3 years ago
I just need to know how to solve this question.
Zarrin [17]

Answer:

x = 62

Step-by-step explanation:

x and 118 form a linear pair (added up, they both equal 180 degrees)

So, 180-118 = 62 which is the measurement of x

6 0
2 years ago
Solve Triangle DEF. - Math
Brrunno [24]

Answer:

p = 52.942259755149776

Step-by-step explanation:

This is basic trigonometry.

\cos(39)  =  \frac{e}{22}

e =  \cos(39)  \times 22

\sin(39)  =  \frac{d}{22}

d =  \sin(39)  \times 22

And finally perimeter (p):

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7 0
2 years ago
If p is the midpoint of xy, xp=8x-2 and py=12x-30, find the value of x
goldenfox [79]
Check the picture below.

surely, you'd know how much that is.

3 0
3 years ago
B
kirill115 [55]

Using variable concepts, it is found that:

  • The independent quantity is the money loaned.
  • The dependent quantity is the money paid back with interest.

<h3>What is the relation between a function and the dependent and independent variables?</h3>

A function has the following format: y = f(x), in  which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

Then, it can be said that the input of the function is the independent variable and the output is the dependent variable.

In this problem:

  • The input is the amount loaned, hence it is the independent quantity.
  • The output is the amount paid back with interest, hence it is the dependent quantity.

You can learn more about independent and dependent variables at brainly.com/question/26253877

5 0
3 years ago
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