Right triangle
Sin A = Opp./ Hypo. = BC/AC
Cos C = Adj./Hypo. = BC/AC
Answer is D.
Sin A = Cos C
Answer:
Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known.
How many different triangles can be drawn with these dimensions? Explain your reasoning.
Step-by-step explanation:your weclome
Answer:
D. y²/5² - x²/8² = 1
Step-by-step explanation:
A and B are both incorrectly oriented, and D is the only hyperbola that contains the points (0,5) and (0,-5).
Verification (0,5) and (0,-5) are in the hyperbola:
First replace x and y with corresponding x and y values (We will start with x=0 and y=5)

Then simplify.



If the result is an equation (where both sides are equal to each other) then the original x and y values inputted are valid. The same is true with x and y inputs x=0 and y=-5, or any other point along the hyperbola.
The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
<h3>What are the dimensions of the rectangle base?</h3>
The perimeter of rectangle is expressed as;
P = 2( l + w )
Given the data in the question;
Let x represent the width of the rectangular base.
- Width w = x
- Length = l = 3x-75
- Perimeter P = 810ft
Plug these values into the equation above.
P = 2( l + w )
810 = 2( (3x-75) + x )
810 = 6x - 150 + 2x
810 = 8x - 150
8x = 810 + 150
8x = 960
x = 960/8
x = 120
Hence,
Width of the rectangle = x = 120ft
Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft
Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
Learn more about rectangles here: brainly.com/question/17043956
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