Answer:
In a sequence described by a function, what does the notation f(3) = 1 mean?
ОА. .
The common difference of the sequence is 3.
OB.
The first term in the sequence has a value of 3.
O c.
The common ratio of the sequence is 3.
OD.
The third term in the sequence has a value of 1.
ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

to rationalize the radical

Thus, each leg is 5\sqrt{2} [/tex].
Answer:
Arc length XPY =28.26 m.
Step-by-step explanation:
Given : A circle with two arc XY and XPY and radius 6 m.
To find : Arc length XPY.
Solution : We have given that arc XY and XPY .
Radius = 6 m.
Central angle formed by arc XPY = 360 - 90 = 270.
Arc length = 2 *pi* r (
.
Plugging the values
Arc length = 2 *3.14 * 6 (
.
Arc length =37.68 (
.
Arc length =37.68 * 0.75
Arc length XPY =28.26 m.
Therefore, Arc length XPY =28.26 m.
Answer:

Step-by-step explanation:
Using trigonometric ratio cos.
Here,
- Theta = θ = x
- Adjacent = 12
- Hypotenuse = 28
<h3><u>Finding x:</u></h3>
![\displaystyle cos \theta =\frac{adjacent}{hypotenuse} \\\\cos \ x =\frac{12}{28} \\\\cos \ x = 0.43\\\\x = cos^{-1} 0.43\\\\x = 65 \textdegree\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%20x%20%3D%5Cfrac%7B12%7D%7B28%7D%20%5C%5C%5C%5Ccos%20%5C%20x%20%3D%200.43%5C%5C%5C%5Cx%20%3D%20cos%5E%7B-1%7D%200.43%5C%5C%5C%5Cx%20%3D%2065%20%5Ctextdegree%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
<span>So we want to know in which point do light rays that are incident on a lens and parallel to the principal axis converge. Rays parallel to the principal axis and are incident on a lens converge in the focal point of the lens. So the correct answer is focal point.</span>