Step-by-step explanation:
x¹²-3x6-x⁴+2x⁴-6x³+2x²-3x⁴+9x²-3x
x¹²-3x6-2x⁴-6x³+11x²-3x
Answer:
a = 7, b = 24 if quadrant 1
a = -7, b = -24 if quadrant 2
Step-by-step explanation:
Tan theta = sin(theta) × sec(theta)
a/24 = (7/25) × (25/b)
ab = 168
a = 168/b
1 + tan²(theta) = sec²(theta)
1 + a²/576 = 625/b²
1 + 168²/576b² = 625/b²
1 = 576/b²
b = 24 (+ or -)
a = 168/24 = 7 (+ or -)
The complete question is
"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.
The radius of the incircle centered at point P is ? units."
The radius of the incircle centered at point P is 7 units.
We are given that point P is the incenter of the triangle, and is the center point of the incircle of the triangle.
<h3>What is incircle?</h3>
The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.
Here, The radius of the circle is going to be a perpendicular line from point P to any side of the triangle.
In the triangle ,
PZ = PY = PX,
Each measure of value is equal to the radius of the circle.
Therefore, we already know that PZ = 7 units making the radius, r = 7 units.
Learn more about incircle;
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<u>Given</u>:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
<u>Height of the kite:
</u>
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;

From the given data, the values are
, opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;

Multiplying both sides of the equation by 105, we get;



Rounding off to the nearest meter, we get;

Thus, the height of the kite is 70 meters.
Answer:
$8 per hour
Step-by-step explanation:
hope i was able to help , take care be safe and have a good day