Angle1 = 90 degrees
Angle2 = 15 degrees
Angle3 = 75 degrees (because 180-15-90=75 and all angles equal 180 degrees)
Side1 = 300
Side2 = x (unknown)
Solve for x:
X / sin(15degrees) = 300 / sin(75degrees)
X = (300•sin(15degrees)) / sin(75degrees)
X = 80.38...
= 80
<span>Given, y^2 - 14y = -44
Add 44 to both sides of the equation
</span>y^2 - 14y + 44 = -44 + 44<span>
</span>y^2 - 14y + 44 = 0
Using the quadratic formula x = [-b ± √(b² - 4ac)]/2a
Where,
a = 1
b = -14
c = 44
x = [-b ± √(b² - 4ac)]/2a
x = [-(-14) ± √(-14² - 4(1)(44)]/2(1)
x = [14 ± √(196 - 176)]/2
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 4.472)/2 OR (14 - 4.472)/2
x = 18.472/2 OR 9.528/2
x = 9.236 OR 4.764
The solution set is {9.236, 4.764}
TO EXPRESS THE ANSWER IN RADICALS
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 2√5)/2 OR (14 - 2√5)/2
<span>x = 7+√5 OR 7-√5
</span>
The solution set is {7+√5, 7-√5}
option C is the correct answer. sin β = 15 / 17
<h3>How to work it</h3>
<u>Given data</u>
Right angled triangle has sides
opposite = 15
adjacent = 8
Hypotenuse = 17
sin β = opposite / hypotenuse
substituting the values gives
sin β = 15 / 17
Read more on SOH CAH TOA here: brainly.com/question/20020671
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