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Nikitich [7]
3 years ago
10

???????????????????????

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

x ≅ 7

Step-by-step explanation:

cos(67°) = x/18

x = 18cos(67°) ≅ 7

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On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz
sasho [114]

Answer:

0.12

Step-by-step explanation:

Independent events are when probability of one event happening doesn't affect the probability of the other event happening.

Also,

In probability "AND" means "multiplication" and "OR" means "addition".

The question asks for probability that Nick oversleeps "AND" has pop quiz. So we need to multiply the individual probabilities (since independent, they have no affect on each other).

P(Nick oversleeps) = 0.48

P(pop quiz) = 0.25

Thus,

P(Nick oversleeps AND pop quiz) = 0.48 * 0.25 = 0.12

7 0
3 years ago
What is the supplement of 164 degrees?
Margaret [11]
Supplements add up to 180°
so just subtract 164 from 180

 180
<u>-164
</u>   16

3 0
3 years ago
Read 2 more answers
Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
Minchanka [31]

Answer: x=-1

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

Therefore, you can rewrite the left side of the equation has following:

(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}

 Descompose 32 and 8 into its prime factors:

32=2*2*2*2*2=2^5\\8=2*2*2=2^3

Rewrite:

(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}

Then:

(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}

As the base are equal, then:

-3(2x+7)=5(3x)

Solve for x:

-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1

8 0
4 years ago
NEED IT NOW
DaniilM [7]

Answer:

Mia is correct.

Step-by-step explanation:

You can see this if you write 5/11 in a calculator, you get 0.454545454545 infinitely. In other cases, you would write it like Malik said if the answer were to be 0.455555555, but it isn't.

6 0
3 years ago
Read 2 more answers
3. Determine the number of solutions of each system of equations.
zubka84 [21]
Infinitely many solutions

The system shows the same equation, so x and y could be anything
6 0
4 years ago
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