Answer:
a = 16, b = 6, c = - 4, d = - 9
Step-by-step explanation:
Substitute the appropriate values of x into the equation and evaluate.
x = - 3 : y = 1 - 5(- 3) = 1 + 15 = 16 → a
x = - 1 : y = 1 - 5(- 1) = 1 + 5 = 6 → b
x = 1 : y = 1 - 5(1) = 1 - 5 = - 4 → c
x = 2 : y = 1 - 5(2) = 1 - 10 = - 9 → d
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.
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Answer:
D: 14
Step-by-step explanation:
since the proportion is already 4:6, so you want to divided it by 2, so it will become 2:3, then multiply it by 7, so thats how i got 14 tomatoes for 21 people
Answer:
47.7ft
Step-by-step explanation:
12.8ft+6.2ft+13.9ft+15.5ft=47.7ft
