Answer:108
Step-by-step explanation:
Answer:
x=5±√−103/8
Step-by-step explanation:
There's no real solutions
4x2−3x+9−(2x+1)=2x+1−(2x+1)
4x2−5x+8=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(4)(8)/2(4)
x=5±√−103/8
Answer:
759
Step-by-step explanation:
A = 133; b = 31; c = 82; d = 64.
Opposite angles in an inscribed quadrilateral are supplementary; this means that d + 116 = 180. Subtracting 116 from both sides, we have d = 64.
By the same theorem, c + 98 = 180; subtracting 98 from both sides, we have c = 82.
Inscribed angles are equal to 1/2 the measure of the intercepted arc. Using this, we have
116 = 1/2(a+99)
Multiplying both sides by 2, we have
232 = a+99
Subtract 99 from both sides:
232 - 99 = a + 99 - 99
133 = a
We also have that
82 = 1/2(133+b)
Multiplying both sides by 2, we have:
164 = 133 + b
Subtract 133 from both sides:
164 - 133 = 133 + b - 133
31 = b
General Idea:
We can use the below formula to find the area of sector (A), when angle of sector and radius is given:
Applying the concept:
We need to substitute 84 for 
and 160 for A in the above formula:
Conclusion:
If a windshield wiper covers an area of approximately 160 square inches when it rotates at an angle of 84°, the length of the wiper to the nearest tenth of an inch is <u>14.8</u>
