3 is real 4th roots of 81
The student should compute 6*180 = 1080 because of the formula
S = 180(n-2)
We have n = 8 sides which leads the n-2 part to become n-2 = 8-2 = 6
Answer:
85.9 (to the nearest hundredth)
Step-by-step explanation:
1 radian = 180°/
Therefore, 1.5 radians = 1.5 x (180°/) = 270/ = 85.9 (to the nearest hundredth)
Trigonometry is the branch of mathematics that studies the relationship between the sides lengths and angles in a triangle.
<h3>What is trigonometry?</h3>
Your information is incomplete as the triangles aren't given. Therefore, an overview will be given.
It should be noted that trigonometry simply means the branch of mathematics that is concerned with angles and their application to calculation.
In this case, studies the relationship between the sides lengths and angles in a triangle. The there basic functions in trigonometry are sine, cosine, ad tangent.
Learn more about trigonometry on:
brainly.com/question/24236629
Answer:
9. 66°
10. 44°
11.
12.
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a =
a =
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a =
a =
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) =
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) =
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!