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Answer:
The answer is x = -3.
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:
Sin = opposite/hypotenuse
Sin 30°=length of the altitude/12
Note that sin 30° = 0.5
0.5 = length of the altitude/12
length of the altitude = 12 × 0.5
Hence, length of altitude = 6
For problem 2, you are correct in stating that a curve forms. Specifically, if we were to trace along the outer edge of the shape, then we'd form a <u>parabola</u> that has been tilted 45 degrees compared to the more familiar form that students are taught (where the axis of symmetry is vertical).
For more information, search out "Tangent method for parabolas". As the name implies, the tangent method draws out the tangents of the parabola which helps form the parabola itself.
Everything else on your paper is correct. You have problem 1 correct, and the table is filled out perfectly. Nice work.
