When adding two together multiply:
log2 6 + log2 2 = log2(6*2) = log2 12
When you subtract 2 logs, divide:
So you have log2 12 / log2 8
Rewrite as log2 12/8
Simplify to get log2 3/2
The answer is C.
Answer:
$30
Step-by-step explanation:
Calculate the mark up
12*150/100=18 dollars
Add the mark up to original price
$12+$18=$30
Answer:
sometimes
Step-by-step explanation:
We can consider the example of a cuboid.
It is a rectangular solid whose all faces are made of rectangles.
But if we will consider a example of cube; which is also a kind of rectangular solid whose all faces are made up of square.
so we can get some solids whose faces are other than squares as well and some whose faces are squares.
Hence, we could say that:
The faces of a rectangular solid are sometimes square.
a) Both the length and the width of the rectangle are square roots of integers.
b) The length and the width of the rectangle are 6√5 units and 3√5 units, respectively.
<h3>How to analyze irrational numbers</h3>
Irrational numbers are numbers that not rational, that is, numbers that not of the form m / n, where m and n are integers and n is different of zero. Rational numbers may be integers or not.
Now, the statement indicates that the length and the width of rectangle have measures of 2 · x and x, respectively, and that the area of the rectangle is equal to 90 square units. The area formula is presented below:
90 = (2 · x) · x
90 = 2 · x²
x² = 45
x = √45
x = √(9 × 5)
x = √9 × √5
x = 3√5
a) Both the length and the width of the rectangle are square roots of integers.
b) The length and the width of the rectangle are 6√5 units (approx. 13.416 units) and 3√5 units (approx. 6.708 units), respectively.
To learn more on irrational numbers: brainly.com/question/3386568
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I assume you mean 15-20.
There are several ways you can get it so I will give you guidelines to make it easier to find the answers using question 15 as an example.
You know one side and an angle and that the triangle has a right angle it.
If you are looking for a side opposite of your known angle and it is not the hypotenuse use: Tan^-1(angle)*known side, after that use pythagorus theorem. You can check if this is the right length by taking the sine of the unknown angle (90-known angle) This will get most of your problems except 18 and 19.
For 18 and 19, I would replace tan with the sin version. For 20, you can either work to have all of the digits on one side of the equation, or you can use the first equation after solving for the missing angle. I will double check my math when I am by a pad of paper to work it out, if you can reply with answers, I can compare to make sure they are right.