9514 1404 393
Answer:
13. (A, b, C) = (30.66°, 91.042, 25.34°)
14. insufficient information
Step-by-step explanation:
13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.
b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59
b ≈ 91.042
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A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°
C = 180° -124° -30.66° = 25.34°
The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).
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14. One side and one angle do not define a unique triangle. There is insufficient information to find f.
125, 216, 343, 512, 729
the numbers given in the sequence are recognisable as cubes
1 = 1³, 8 = 2³, 27 = 3³, 64 = 4³
the next five terms will be
5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512 and 9³ = 729
Answer:
H'(8v,-6v)
Step-by-step explanation:
Here coordinate of H is (8,-6). We are dilating it using the rule (x,y)-->(kx,ky) where 'k' is scale factor.
For our problem , the dilation factor is "v"
So, image would be (8v,-6v)
The value of x is 30
<u><em>Solution:</em></u>
Given that measure of exterior angle of regular polygon is 2x
The measure of interior angle is 4x
To find: value of x
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
measure of exterior angle + measure of interior angle = 180
2x + 4x = 180
6x = 180
x = 30
<em><u>Finding the measure of an exterior angle</u></em>
measure of exterior angle = 2x = 2(30) = 60 degrees
<em><u>Finding the measure of interior angle</u></em>
measure of interior angle = 4x = 4(30) = 120 degrees
proportional because 1*5/3*5=5/15