Answer:
8 cm
Step-by-step explanation:
the 3 cm line from the chord to the center of a circle is a leg of a right triangle which perpendicularly bisects the chord into two equal halves
draw the hypotenuse of the right triangle from the center of the circle to the endpoint of the chord. This is a radius measuring 5 cm.
find the missing leg of the right triangle
a^2= c^2- b^2
a^2= 25-9
a^2=16
a=4
this is only the measurement of half the chord. To find the full length of the chord multiply by two
4*2=8 cm
Answer:
-11, 723
Step-by-step explanation:
(27+15)/3+8(4+3-10)=-11
(90+30)*6-7*0+(10+5)/5=723
The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
B= the base of the object