Answer: a. 90°
Step-by-step explanation:
We know that the in a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.
In the problem∠XYZ is the inscribed angle
∠XYZ=
⇒ ∠XYZ=
Since XZ is a diameter of the circle which is a line segment, thus ∠XZ=180°
∴ ∠XYZ=
∴ ∠XYZ=
Therefore, a. 90° is the measure of ∠XYZ.
Answer:
(3x+1)
Step-by-step explanation:
So i start by the little 2 and then the 3 and then 19x +6
We have that
y = 2(0.45)^x
in this problem
2-----------> is the Coefficient
0.45-------> is the Base
<span>x-----------> is the Exponent
we know that
</span><span>If
the base is less than 1 (but always greater than 0), the function will be
exponential decay
</span>It is decay because as x values
increase, y values decrease.
<span>0.45 < 1 and 0.45 > 0
therefore
the equation
</span>y = 2(0.45)^x
represents <span>exponential
decay
</span>
the answer is
exponential decay<span>
</span>
Circumference is found with the formula
c = pi × d
d is diameter and we will use 3.14 for pi.
The diameter is the measure across the center of the circle. In the first problem, you are given the radius, so we have to multiply by 2 to get the diameter. Then we can use the formula.
12.4 in × 2 = 24.8 in (that's the diameter)
c = pi × D
c = 3.14 × 24.8
c = 77.872 inches
circumference is 77.872 inches.
Try the other problems on your own. They are just like this one. Just make sure they are giving you the diameter and not the radius. Post if you have problems.
