Given: ∆ABC, AB = 8 m∠C = 90° m∠B = 40° Find: Perimeter of ∆ABC
2 answers:
Answer:
The perimeter of the triangle ABC is 19,27 m
Step-by-step explanation:
In order to solve this we first have to create a triangle rectangle, check the image attached to understand it better, and with that we use law of sines in order to calculate the other sides of the triangle:
As you can see we know that the hypothenuse is 8 m, and we have both angles, so for the angle that is opposed to the 50º angle we will use 8cos50=5,1423 m.
For the side that is opposed to the 40º angle we will use 8cos40:6,1283m
SO to calculate the perimeter we just add the three sides:
5,1423 + 6,1283 + 8= 19,27
The perimeter of the triangle ABC is 19,27 m
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<u>Answer:</u>
2. The correct answer option is 25%.
3. The experimental probability is 3% greater than the theoretical probability.
<u>Step-by-step explanation:</u>
2. We are given that a number cube is rolled 20 times out of which 5 times it lands on the number 2.
We are to find the experimental probability of getting the number 2.
P (2) = = 25%
3. The theoretical Outcomes are: HH HT TH TT
So theoretical probability of getting HH = = 25%
Total number of outcomes = = 100
So experimental probability of getting HH = = 28%
Therefore, the experimental probability is 3% greater than the theoretical probability.
Given:
Sides of triangles in the options.
To find:
Which could NOT be the lengths of the sides of a triangle.
Solution:
Condition for triangle:
Sum of two smaller sides of a triangle must be greater than the longest side.
In option A,
Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.
In option B,
Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.
In option C,
Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.
In option D,
Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.
Therefore, the correct option is D.