Answer:
a) A triangle which the angles ratio is 1 : 2 : 3 is a 30º - 60º - 90º right triangle.
b) The shortest side is opposite to the shortest angle. So, we can calculate it using sin 30º.
the unit rate is:
53.33
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1.5
80 ÷ 1.5
1.5 ÷ 1.5
=
53.33/1
The answer is A because the “hops” are jumping over two spaces which equals 2/10 simplified to 1/5. and since the number line stops at 2 it’d be 2 and not 1. If you do the keep change flip method for answer option one you get 10.
Answer:
x = 5√10
Step-by-step explanation:
Check out the picture below, where I named the vertices and I'm going to refer to it in my explanation.
Side AC is 8 and side AB is 3.
Therefore:
BC = AC - AB = 8 - 3 = 5
We know only one side in triangle BCD so that's not enough information to calculate x. But we can get side CD from triangle ACD and with that side we'll have enough info to use Pythagorean Theorem in triangle BDC.
Now let's use Pythagorean theorem in the right triangle ACD to get side CD.
<u>Pythagorean Theorem:</u>
Hypotenuse in triangle ACD is AD.
Now that we have side CD, we can use Pythagorean Theorem again in triangle BCD to get x! Hypotenuse in triangle BCD is x.