1) Area = leg(1) * leg(2) * .5 = 15 * 36 * .5 = 270
Perimeter = leg(1) + leg(2) + hypotenuse = 15 + 36 + 39 = 90
2) Area = leg(1) * leg(2) = 20 * 80 = 1600
3) Median (divides it in 1/2)
4) Both (divides it in 1/2 and makes a 90 degree angle w/ base)
5) Altitude (makes 90 degree angle w/ base)
6)sqrt(30^2 + 16^2) = sqrt( 900 + 256) = sqrt(1156) = 34
7) sqrt(24^2 + 18^2) = sqrt( 576 + 324) = sqrt(900) = 30
8) sqrt(40^2 + 96^2) = sqrt(1600 + 9216) = sqrt(10816) = 104
9) sqrt(150^2 - 90^2) = sqrt(22500 - 8100) = sqrt(14400) = 120
10) sqrt(35^2 - 25^2) = sqrt(1225 - 625) = sqrt(600) = 10sqrt(6), approx. 24.5
Step-by-step explanation:
here's the solution: -
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Answer:
On the right is a circle with centre (0, 0), radius r and (x, y) any point on the circle. Distance between (0,0) and (x, y) equals the radius, r. If the centre is (0, 0), the equation of the circle will be of the form x2 + y2 = r2.
The point-slope form:
We have the points (3, -4) and (5, 1). Substitute:
The standard form:
<em>multiply both sides by 2</em>
<em>use distributive property</em>
<em>subtract 2y from both sides</em>
<em>subtract 15 from both sides</em>
<h3>Answer: 5x - 2y = -7</h3>
If you would like to write and solve a system of equations that represent the situation above, you can do this using the following steps:
s ... number of songs
m ... number of movies
$55.00 = $1.25 * s + $2.75 * m
55 = 1.25 * s + 2.75 * m
26 songs and movies = s + m
26 = s + m
s = 26 - m
55 = 1.25 * s + 2.75 * m
55 = 1.25 * (26 - m) + 2.75 * m
55 = 1.25 * 26 - 1.25 * m + 2.75 * m
55 - 32.5 = 1.5 * m
22.5 = 1.5 * m
m = 22.5 / 1.5 = 15 movies
s = 26 - m = 26 - 15 = 11 songs
The correct result would be 15 movies and 11 songs.