The picture in the attached figure
we have
arc XV = 68°∠YUV = 36°
we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2
arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°
the answer is
the measure of arc VY is 140°
Answer:
49.1 cm² (round to nearest 10)
Step-by-step explanation:
- use trigonometry to find the <em>h</em><em>e</em><em>i</em><em>g</em><em>h</em><em>t</em><em>(</em><em>h</em><em>)</em><em> </em>of the triangle
- substitute height and base(b) 12cm into the formula
<em>A</em><em> </em><em>=</em><em> </em><em>½</em><em> </em><em>×</em><em> </em><em>b</em><em> </em><em>×</em><em> </em><em>h</em><em> </em><em>.</em>
Answer:
Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
<u>The polynomial is:</u>
- (x - 3)(x - (4 + i))(x - (4 + i)) =
- (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
- (x - 3)(x² - 8x + 16 - (-1)) =
- (x - 3)(x² - 8x + 17) =
- x³ - 8x² + 17x - 3x² + 24x - 51 =
- x³ - 11x² + 41x - 51
Answer:
0
Step-by-step explanation:
Plug in 11 for m. Remember to follow PEMDAS. First solve the parenthesis, then multiply.
m = 11
7(m - 11) = 7(11 - 11) = 7(0) = 0
0 is your answer.
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