Answer:
2 students.
Step-by-step explanation:
add together all of the students and then subtract that from 40.
20+15+3 = 38
40-38 = 2
Answer: scalene and obtuse
Justification:
You can find the angles using the law of cosine:
c^2 = a^2 + b^2 - 2abcos(γ)
=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)
1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818
=> γ = arccos(-0.0181818} ≈ 91°
2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545
=> α = arccos(0.7454545) ≈ 41.8°
3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68
=> β = arccos(0.68) ≈ 47.2°
4) Verification: 91° + 41.8° + 47.2° = 180°
5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).
6) The triangles with one angle greater than 90° are called obtuse.
So, the triangle is scalene and obtuse.
Answer:
Step-by-step explanation:
It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.
Let 'x' be the number
Decreasing twice the number 'x' by 4 = 2x-4
Now,
Given the input x = 5
As the output will decrease twice the input (x=5) by 4
Thus, the output = 2(5)-4 = 10-4 = 6
Therefore,
Answer:
Step-by-step explanation:
Let's subtract:
