Step-by-step explanation:
Ans is 20 .
F union C whole complement is 20
Answer:
15
Step-by-step explanation:
A simple way is to go through the multiples of (because it is the biggest) and see the first number is divisible by 3
You can also just multiply 3 and 5
The solution for both ways is 15
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-Chetan K
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
QUESTION 1
The given logarithmic expression is
We rewrite 
in the index form to base 4.
This implies that;
We now apply the power rule: 
.
Recall that logarithm of the base is 1.
QUESTION 2
The given logarithm is;
![\log_2(\sqrt[5]{32})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B32%7D%29)
![\log_2(\sqrt[5]{2^5})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B2%5E5%7D%29)
This is the same as;
<h2>
Answer:</h2>
s = 18°
<h2>
Step-by-step explanation:</h2>
The figure has been re-labelled to show additional information and description and has been attached to this response.
As shown in the figure, line AB is a straight line.
The angles on the straight line are <em>6s + 2</em> and <em>4s - 2</em>
<em></em>
Since the sum of angles on a straight line is 180°, it therefore implies that;
<em>6s + 2</em> + <em>4s - 2 = 180°</em>
<em></em>
<em>Solve for s by collecting like terms and simplifying</em>
6s + 4s + 2 - 2 = 180
6s + 4s = 180
10s = 180
s = 18°
Therefore, the value of s is 18°
