Answer: 16/20
Step-by-step explanation:
If ur asking for the sine of angle C
Answer:
(x - 2)² + (y + 7)² = 64
(fourth option listed / option D)
Step-by-step explanation:
as you likely know, the equation of a circle (centered at origin) is x²+y²=r²
now, let's say we want to write this using the center (the origin), it could look like this:
(x - 0)² + (y - 0)² = r²
(the center is 0,0)
[we write this in parentheses when we are shifting the location of a point--similar to when we move a line on a graph]
We can use this for any center, and we write our circle equation as:
(x - h)² + (y - k)² = r²
(h, k) is the center
So, let's apply the information we know
our (h, k) is (2, -7)
so let's fill that in:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - -7)² = r² (simplify)
(x - 2)² + (y + 7)² = r²
now, we also know that our "r" <em>(r is the radius)</em> is 8, so let's fill that in too:
(x - 2)² + (y + 7)² = r²
(x - 2)² + (y + 7)² = 8² (simplify)
(x - 2)² + (y + 7)² = 64
So, we have found the equation of our circle to be:
(x - 2)² + (y + 7)² = 64
hope this helps! (and hope this makes sense) have a lovely day :)
Step-by-step explanation:
<em>Triangles and the Pythagorean Theorem</em>
- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2, can be used to find the length of any side of a right triangle.
- The side opposite the right angle is called the hypotenuse (side c in the figure).
<em>(note: Pythagorean means hypotenuse)</em>
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<em>hope this helps </em>
The best way to approach a word problem like this
is to break it down into pieces, so we can understand it fully.
In this problem, we have a number, which we don't know.
We can use any variable to represent it.
So let's use the variable <em>n</em> to represent it.
"Two less than three times a number" means 3n - 2.
A common mistake is for students to put 2 - 3n.
However, the word "less than" switches the order around.
So we have 3n - 2 = 19.
Solving from here, we add 2 to both sides to get 3n = 21.
Now divide both sides of the equation by 3 and we have n = 7.
So the number is 7.
The given two polygons are similar to one another ~
Sides of the given polygons are in ratio of :
to put in simple Ratio ~
So, the sides of the larger polygon are :
Now, to find the Perimeter of larger polygon ~ add the side length of all sides :
