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jok3333 [9.3K]
3 years ago
7

Find the value of x show your work

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

x = 8√3

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

x² + 8² = 16²

x² + 64 = 256

x² = 192

√x² = √192

x = √64 √3

x = 8√3

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Simplify the expression.<br> -5+i/2i
Lostsunrise [7]

Answer:

\rm - \dfrac{11}{2}

Step-by-step explanation:

\rm Simplify \:  the  \: following: \\   \rm \longrightarrow - 5 +  \dfrac{i}{2} i \\  \\  \rm Combine \:  powers. \\  \rm  \dfrac{i \times i}{2}  =  \dfrac{i^{1 + 1}}{2}: \\  \rm \longrightarrow  - 5 +  \dfrac{i^{1 + 1}}{2}  \\  \\  \rm 1 + 1 = 2: \\ \rm \longrightarrow  - 5 +  \dfrac{i^2}{2}  \\  \\  \rm i^2 = -1: \\ \rm \longrightarrow  - 5 +   \dfrac{( - 1)}{2}   \\  \\  \rm \longrightarrow  - 5 -  \dfrac{1}{2}   \\  \\  \rm Put   \:   - 5 -  \dfrac{1}{2}   \: over  \: the  \: common \:  denominator  \: 2.  \\  \rm   - 5 -  \dfrac{1}{2}   =  \dfrac{2( -  5)}{2} -  \dfrac{1}{2}  : \\   \rm \longrightarrow  \dfrac{ - 5 \times 2}{2}  -  \dfrac{1}{2}  \\  \\  \rm 2 (-5) = -10: \\    \rm \longrightarrow    \dfrac{ - 10}{2}  -  \dfrac{1}{2}  \\  \\  \rm \dfrac{ - 10}{2}  -  \dfrac{1}{2}  =  \dfrac{ - 10 - 1}{2} : \\   \rm \longrightarrow \dfrac{ - 10 - 1}{2}  \\  \\  \rm -10 - 1 = -11: \\    \rm \longrightarrow  -  \dfrac{11}{2}

7 0
3 years ago
Leon charged $75 at an interest rate of 12.5%. How much will Leon have to pay after one month if he makes no payments? Simple in
avanturin [10]
I'm guessing that this problem is talking about a loan of some sort. So basically, let's look at the given. In the problem, Leon is charged a fee of 75. The interest rate would be 12.5 % if he doesn't pay his due amount. So in order to get the total amount that he has to pay if he doesn't pay on time, you just need to multiply 75 with 12.5% or simply 0.125. If you do this, you will get 9.375. After that, you add 9.375 to the principal amount which is 75 and you will get 84.375. So Leon has to now pay a total of 84.375.
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3 years ago
Write a verbal phrase for the following algebraic expression 12y
aleksandrvk [35]

The product of a number y and 12 or 12 times a number y. These are both equivalent expressions to 12y

6 0
3 years ago
NEED DONE ASAP
MariettaO [177]
It’s 40 degrees since the bisect of an angle is just half of the original angle.
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3 years ago
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A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the
saw5 [17]

Answer:5 and 3

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you can multiply 5x3 to get 15

3 0
2 years ago
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