The angles in an equilateral triangle are 60 degrees.

sin 60 = 9 / h where h is hypotenuse ( = side of the triangle)

h = 9 / sin 60 = 10.392

Perimeter = 3 * h = 31.18 to nearest hundredth

3 0

3 years ago

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A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?

scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

5 0

3 years ago

Determine the area that is bounded by the graphs of the following equations on the interval below. (Round your answer to three d

Elza [17]

Answer:

A≅407.34 au (area units)

Step-by-step explanation:

we must find the area generated by equations a., b., and c. To do this we must graph and the areas and determine their points to evaluate

As seen in the graphs (1, 2) we have the area generated by equations a. b. and the limits within which the area should be evaluated are those determined by c.

Finally we find A (view graph 3)

7 0

3 years ago