Answer:
10 + (2 x 3)^2 / 4 x (1/2) ^3
First do the parentheses
2 x 3 = 6
1 / 2 = 0.5
We are left with
10 + 6^2 /4 x 0.5^3
Do exponents
6 x 6 = 36
0.5 x 0.5 x 0.5 = 0.125
10 + 36 / 4 x 0.125
Divide by 4 and multiply by 0.125
36 / 4 = 9
9 x 0.125 = 1.125
We are left with
10 + 1.125 = 11.125
The answer is 11.125
Step-by-step explanation:
The value of the cosine function is -0.385
<h3>How to determine the measure of the cosine function?</h3>
The figure that completes the question is added as an attachment
From the figure, we have the following sides
AB = √13
AC = 3
BC = 2
The triangle is a right triangle.
The angle B is calculated as:
cos(B) = 2/√13
Evaluate
cos(B) = 0.5547
Take the arccos of both sides
B = 56.31
This means that:
cos(ABC) = cos(56.31)
Multiply ABC by 2.
So, we have:
cos(ABC * 2) = cos(56.31 * 2)
Evaluate the product
cos(ABC * 2) = cos(112.62)
Evaluate the cosine
cos(ABC * 2) = -0.385
Hence, the value of the cosine function is -0.385
Read more about cosine function at
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Answer: 85.96% = 0.8596
~Hope this helped, have a gr8 day/night my friend!~
Step-by-step explanation:
Answer:
Interest: $50 | Total: $250
Step-by-step explanation:
You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

<em>I = interest amount
</em>
<em>P = principal amount
</em>
<em>r = interest rate (decimal form)
</em>
<em>t = time</em>
<em />
Now we can plug in the values into the equation:


This means that Ariane is charged $50 worth of interest. She has to pay back $250 total dollars.
Answer: 7 x 2 x 2 x 2
Step-by-step explanation:
So 7x8 = 56; 7 is prime, but 8 can be factored further; 8 = 4x2, but the 4 can be factored; 2x2
So now you have the prime factorization of 56= 7 x 2 x 2 x 2