Find the value of x, rounded to the nearest tenth.
1 answer:
Answer:
x= 36.2
Step-by-step explanation:
Because that's a right triangle and the reference angle and adjacent side measures are given to us, we can use the trig ratio for cosine. Cosine relates the side adjacent to (next to...NOT ever the hypotenuse!) the angle to the hypotenuse. Therefore, our equation will look like this:
Solving for x we have
Perform that operation on your calculator in degree mode and you'll get that the length of the hypotenuse is 36.2. If for some reason, your math gave you the length of the hypotenuse and it was shorter than one of the other sides, you did something wrong. The hypotenuse will ALWAYS be the longest side in a right triangle.
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<em>p = 21</em>
Step-by-step explanation:
When you have a midsegment, the base is going to be two times as large as the midsegment. You can find the midsegment if you multiply it by two and set it equal to the base. I have attached a photo below that may help you.
This is the equation we will be using.
Now let's solve! Let's start by distributing the 2 by what's in the parentheses.
Subtract p from both sides.
Add 26 to both sides.
<u>p = 21</u>
ANSWER
EXPLANATION
Given
We can find cos 150 by using
recall that
Hence,
Therefore, the value of cos 150 is
for a triangular prism, its volume will simply be <u>area of its base</u> times its length.
the are of the base for this one is simply any of those triangular bases. Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.