Solution:
we are given that
Inscribed angle
Intercepted arc
As we know that the Inscribed angle is Half of the measure of the intercepted arc.
So we can write
with that template in mind.
C = -5................. horizontal shift to the right of 5 units.
D = - 10.............. vertical shift downwards of 10 units.
<h3>Answer: </h3><h3>
Exact length: OP = 6*sqrt(2) centimeters</h3><h3>Approximate length: OP = 8.48528 centimeters</h3>
====================================================
Explanation:
Check out the diagram below. I recreated the diagram in your textbook, but I added on a few other points and segments.
Point E is the midpoint of segment AB. Segment OE is perpendicular to AB.
Point F is the midpoint of CD. Segment OF is perpendicular to CD.
Right triangle AOE forms with OA = 10 as the hypotenuse (radius of the circle) and AE = 8, since E cuts AB in half.
Use the pythagorean theorem to find that...
a^2+b^2 = c^2
(AE)^2 + (OE)^2 = (OA)^2
8^2 + (OE)^2 = 10^2
64 + (OE)^2 = 100
(OE)^2 = 100-64
(OE)^2 = 36
OE = sqrt(36)
OE = 6
--------------------
Because chord CD is the same length as chord AB, this means the chords are the same distance from the center point O.
So, OE = OF = 6
Since we have rectangle OEPF, the opposite sides are congruent and we can say OF = EP = 6
Now focus on right triangle OEP. Use the pythagorean theorem again
a^2+b^2 = c^2
(OE)^2 + (EP)^2 = (OP)^2
(6)^2 + (6)^2 = (OP)^2
72 = (OP)^2
(OP)^2 = 72
OP = sqrt(72)
OP = sqrt(36*2)
OP = sqrt(36)*sqrt(2)
OP = 6*sqrt(2)
Answer:
5
Step-by-step explanation:
If it is 18 roses for 90 dollars, what is one rose worth?
90 dollars/18 roses=5 dollar per rose
The frequency in a study like this means the number of people which chose that option. Since the patients must chose one of them, then the sum of all the frequencies must be equal to the number of patients that answered the research. With this in mind we can find the missing value, x.
There were 36 patients that reported no pain.