Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression



as





similarly

Convert element to a decimal form

so



Thus, the expression becomes



Hence,
<em>converting -86999999999.9941 in a scientific notation</em>
In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:
<em>−86999999999.9941 ⟶ 86999999999.9941</em>
<em></em>
In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:
<em>8.6999999999.9941</em>
<em />
So, we need to move the decimal point 10 places to the right.
This means that the power of 10 will be positive 10.
Now we have that the
Number part = 8.69999999999941 and
Exponent part = 10
Thus, we conclude that:
−86999999999.9941 = − 8.69999999999941 × 10¹⁰
The equivalent expressions are: A and C
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
Answer:
I cant see a table, but go ahead and pick c