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goldenfox [79]
3 years ago
12

Trigonometry

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

Step-by-step explanation:

For a triangle the area is

A=\frac{1}{2}bh

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4.  If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4.  To find the base, then, which is opposite the angle, we use the sin ratio:

sin(20)=\frac{b}{4} and

4sin(20) = b so

b = 1.368

But we need the whole base, and that is only half of it.  So

2b = 2.736

To find the height, which is adjacent to the angle, we use the cos ratio:

cos(20)=\frac{h}{4} and

4cos(20) = h so

h = 3.759

Now we have enough info to find the area of the triangle using the triangle area formula from above:

A=\frac{1}{2}(2.736)(3.759) and

A = 5 meters squared.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
Given the center and radius of a circle, write the equation of the circle.
Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calc</u>

Circle Center Formula: (x - h)² + (y - k)² = r²

  • <em>(h, k)</em> is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>(h, k)</em> = (-2, 1)

<em>r</em> = 5

<u>Step 2: Find Equation</u>

  1. Substitute in variables [Circle Center Formula]:                                             (x - -2)² + (y - 1)² = 5²
  2. Simplify:                                                                                                             (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

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defon
The way you put it is confusing. I'll answer but the way you put it was confusing to me.
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Answer:

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3 years ago
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