This question is quite similar to the one earlier, so we will be using SOH CAH TOA again.
We first have to calculate the length of CB. All we have to do for this is use Pythagoras's theorem.
√12² - 6²
= 10.39230... cm
Now we use SOH CAH TOA for the next part.
Lets label the sides.
CB is the opposite
CD is the hypotenuse
We will use sin, since we know the angle, the opposite and we want to know the hypotenuse.
sin(55) = opp / hyp
sin(55) = 10.39230... / x
10.39230.. / sin(35) = x (you re-arrange the equation to get x alone)
12..68666.. = x
So x = 12.687 to 3 significant figures
Answer:
The next fraction in the sequence is:
Step-by-step explanation:
How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:
- <em>3/4 / 1/2 = 3/2 or 1.5
</em>
Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:
- 3/4 / 3/2 = 1/2
- 1/2 / 3/2 = 1/3
- 1/3 / 3/2 = 2/9
- 2/9 / 3/2 = <u>4/27
</u>
As you can see, all the results own to the sequence given, for this reason, <u><em>the last result 4/27 is the correct fraction next to 2/9</em></u>.
17.5 inches
Radius is half of diameter so just do this process:
35/2 = 17.5
Answer:
6x+7y is B
6x+14y is C
(2x+3)+4(x+y) is F
(2x+4y)+2(2x+5y) is G
Step-by-step explanation: