<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
From here we can solve for x. Firstly, divide both sides by √2.
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
Next, divide:
<h2>Answer</h2>
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>
Answer:
Answer: (2a - 5 + b)5
Answer: 10 x (a - 2.5 + 0.5b)
Answer: (-2a + 5 - b) ⋅ (-5)
We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m
Answer:
Step-by-step explanation:
Given that a group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below.
Data set is as ollows:
70 79 38 63 44 23 62 61 67 50 61 70 94 87 65
H0: mu = 60 sec
Ha: mu not equals 60 sec
Mean diff = 2.27
Test statistic = 2.27/SE =0.4815
p value =0.6376
Since p>0.05, we accept null hypothesis
i.e. there is statistical evidence to say that students are reasonably good at estimating one minute
Answer:
The answer to your question is Superficial area = 144 + 36√3
Step-by-step explanation:
Process
1.- Calculate the area of the base
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 12² - 6²
h² = 144 - 36
h² = 108
h = √108
108 2
54 2
27 3
9 3
3 3
1
h = 6√3
Area = 12 x 6√3/2
Area = 36√3 u²
2.- Calculate the area of the superficial 3 triangles
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = 8
Area = 12 x 8/2
Area = 48 u²
Total area = 3(48) + 36√3
= 144 + 36√3
