Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
Shampoo: 2, 4, 6, 8, 10, 12, 14 16, 18 , 20, 22, 24
nail polish: 4, 8, 12, 16, 20,. 24
combs: 8, 16, 24
hair dryers, 12, 24
find the least common multiple of the weeks given, 2, 4, 8, 12
the number is 24 so every 24 weeks
An obtuse angle would be an angle more then 90 degrees.
So if you add two angles together, it could be less then 90 degrees, such as 30 + 50 = 80 degrees.
However, it can also be more then 90 degrees, or an obtuse angle, for example 60 + 50 = 110 degrees.
So it's sometimes.
Answer:
31.42
hope this helps
have a good day :)
Step-by-step explanation:
