Answer:
60%
Step-by-step explanation:
the sum of supplementary angles equals 180°
you can have an acute angle (less than 90°) + an obtuse angle (greater than 90°) equal to 180°
But you can also have a right angle (equal to 90°) + another right angle equal to 180°
Answer: (b) sometimes
The different ratios are 2 : 7, 2 : 9 and 7 : 9
<h3>How to determine the ratio?</h3>
The statement is given as:
8 out of 36 squares unfilled
This means that:
- There are 36 squares
- 8 are unfilled
- 28 are filled
The part-to-part ratio is represented as:
Ratio = Unfilled : Filled
This gives
Unfilled : Filled = 8 : 28
Simplify
Unfilled : Filled = 2 : 7
The part-to-whole ratios are represented as:
Ratio = Unfilled : Total
Ratio = Filled : Total
So, we have:
Unfilled : Total = 8 : 36
Filled : Total = 28 : 36
Simplify
Unfilled : Total = 2 : 9
Filled : Total = 7 : 9
Hence, the different ratios are 2 : 7, 2 : 9 and 7 : 9
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Answer:

Step-by-step explanation:




Calculate 5 to the power of 2 and get 25:-

Calculate 3 to the power of 2 to get 9 and then multiply 2 and 9 to get 18:-


<u>OAmalOHopeO</u>
Answer:
d.
Step-by-step explanation:
The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.
becomes, after following the power rule:
x ln(2) = (x + 1) ln(3). We will distribute on the right side to get
x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:
x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:
x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:
. We can factor out the ln from the left to simplify a bit:
. Divide both sides by ln(2/3) to get the x all alone:

On your calculator, you will find that this is approximately -2.709