Answer:
This is the exterior angle theorem, so
x+30+x+22=130
2x+52=130
2x=78
x=39
sooooooooooooo
39+22=61 degrees
61 degrees
Answer:
B
Step-by-step explanation:
B) The price was increased by 40% and then decreased by 15%.
The mathematical expression that Katherine requires to know the price of the objects that she is going to buy is 8 * ($20.75) + 120 * ($5/12) = $216
<h3>How to write an expression for this procedure?</h3>
To find a mathematical expression for this procedure we must take into account the values that we know.
For example, we know that it requires 15 pansies for each tree. This can be expressed like this:
On the other hand, we must calculate the price of each tree and the pansies that are going to be used to surround each one as shown below.
- Cost of trees = 8 * $20.75
- Pansies Cost = 15 * ($5/12)
According to the above, the final expression, in which all the necessary data for Katherine is included, is:
- 8 * ($20.75) + 120 * ($5/12) = $216
Learn more about mathematical expression in: brainly.com/question/1703934
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Answer:
Step-by-step explanation:
Rewrite log7(49)=x log 7 ( 49 ) = x in exponential form using the definition of a logarithm. If x and b are positive real numbers and b does not equal 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .
Answer:
2.93cm
Step-by-step explanation:
I have to admit, this stumped me but I got o work and here's what I have for you. Hope this helps. TIP: remember it is the minute hand not any other hand.
For this one you will have to find the circumference of the clock because as the min hand goes round and round, it will act as a <u>radius</u> and it will go in a <u>circular</u> motion.
Formula will be π<u>2r</u>= 3.l4 * 2 * 1.4cm=8.792cm per every<u> one</u> revolution of the minute hand. Remembering that for the minute hand to revolve round the clock it has to cover 1 hr = 60min. For you to get the total circumference,
you'll have to take 8.792cm but since it is per every <u>one</u> revolution of the minute hand, multiply it by 40/60min. <u><em>The answer will be 2.93066cm </em></u><u><em>before rounding off</em></u>. After rounding off you will have <u>2.93cm</u>. Quite lengthy but I assure you after practicing you'll have at your fingertips.