This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210
So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7
I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.
Answer:
Supplementary, 39+5x=180, x=28.2
Step-by-step explanation:
So we know that a straight line is 180 degrees, therefore 52+(5x-13) must equal 180. This is a supplementary relationship. That's our equation, now we just have to solve.
52+5x-13=180
We can straight away combine numbers, giving us
39+5x=180
Now we subtract 39 from both sides, giving us
5x=141.
Now we will answer.
141/5=28.2=x
I'm not sure if this is right, but this is my answer :)
Answer:
8 and 17
Step-by-step explanation:
<h3>
Answer: 226 degrees</h3>
=====================================================
Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
---------------------
Use this x value to find the measure of arcs DC and CB
- arc DC = 12x+7 = 12*5+7 = 67
- arc CB = 18x-23 = 18*5-23 = 67
We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
V = 1/3 l h w
V = 1/3 (12)(15)(9)
V= = 540
answer 540 m^3
