A widely-known theorem can be used for this, but only if it is a right triangle (let's assume it is).
Pythagorean Theorem, or <span>a<span>^2+b^2=c^2 (the ^ means it is brought up to that power, so it would be a(squared) + b(squared) = c(squared))
Let's plug in our numbers into this equation to see what we get,
(Assuming that 10 and 15 are the legs of the triangle.)
10^2 + 15^2 = c^2 (c is your hypotenuse, or your longest side of the triangle.)
10^2 = 100 & 15^2 = 225
100 + 225 = c^2
325 = c^2
(square root)325 = c
</span></span>18.03 ≈ c<span>
So, your final equation should look like this:
10^2 + 15^2 = 18.03^2
Which it does! 100 + 225 = 325
</span><span>What must be true about the length of the third side?
The third side must equal 18.03, <u>only</u> if it is a right triangle.
</span>
center(8,4):
<span>The center of a circle is a point from which all points on a circle are the same distance.
radius7:
</span><span>The radius of a circle is the length of a line segment from its </span>center<span> to its </span>perimeter.
<span>The radius is typically denoted as "r" or "R".
diameter14:
</span><span>The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
</span>Circumference or (or Permieter):
= 2*π*R = 2*3.14*7 = 43.9822971502571
<span>The circumference of a circle is the distance around it.
</span>Area:153.9380400259
<span>Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = </span>π*R2<span>.
</span>The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-8)2+(y-4)2=72
(x-8)2+(y-4)2<span>=49
</span>
The general form for the equation of a circle is
x2<span> + y</span>2<span> + Ax + By + c = 0</span>
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-8)2+(y-4)2=72
(x-8)2+(y-4)2=49
x2-16x+64+y2-8y+16=49
x2+y2<span>-16x-8y+31=0</span>
Answer:
B
Step-by-step explanation:
11.25-2.75 = 8.5
8.5/.05 = 170
138° + w° = 180° (sum of angle on a straight line)
w° = 180° - 138°
w = 42
19° + x° + w° = 90°
sub. in w=42,
19° + x° + 42° = 90°
x° = 90° - 19° - 42°
x° = 29°
x = 29
If it prints 1585 pages in 5 minutes then in a minute, the machine prints
= 1585/5
= 317 pages
In 8 minutes, the machine will print
= 317 * 8
= 2536 pages