SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Explain the formula to use
Using the cosine rule which states that:
STEP 2: Write the given sides
STEP 3: Find the value of z
Hence, the indicated length is 4.0
X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
The arc length is given by
.. s = rθ . . . . . . θ is the central angle in radians
.. = (8 in)*(35/180*π)
.. ≈ 4.9 in
_____
A disk 16 inches in diameter has a radius of 8 inches.
=10-10i
Explanation:
3-4i+7-6i
(Add 3 and 7)
(Add -4i and -6i)
Put together
10-10i
Answer:
5
Step-by-step explanation:
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