Let h represent the height of the building. Then the difference between the two angle measurement locations is
.. h/tan(39°) -h/tan(50°) = 300 ft
.. h = (300 ft)/(1/tan(39°) -1/tan(50°))
.. h ≈ 758 ft
The height of the building is about 758 feet.
Set up as for portion with X as unknown number of gray cats. So 1/3=x/9. Cross multiply. 3X=9. Divide both sides by 3. X=3.
Answer:
Roots are not real
Step-by-step explanation:
To prove : The roots of x^2 +(1-k)x+k-3=0x
2
+(1−k)x+k−3=0 are real for all real values of k ?
Solution :
The roots are real when discriminant is greater than equal to zero.
i.e. b^2-4ac\geq 0b
2
−4ac≥0
The quadratic equation x^2 +(1-k)x+k-3=0x
2
+(1−k)x+k−3=0
Here, a=1, b=1-k and c=k-3
Substitute the values,
We find the discriminant,
D=(1-k)^2-4(1)(k-3)D=(1−k)
2
−4(1)(k−3)
D=1+k^2-2k-4k+12D=1+k
2
−2k−4k+12
D=k^2-6k+13D=k
2
−6k+13
D=(k-(3+2i))(k+(3+2i))D=(k−(3+2i))(k+(3+2i))
For roots to be real, D ≥ 0
But the roots are imaginary therefore the roots of the given equation are not real for any value of k.
The answer would be
#pi/2; (7pi)/6 and (11pi)/6#
Explanation ?
Call sin x = t.
#2t^2 - t - 1 = 0.#
Since a + b + c = 0. use shortcut. 2 real roots: t = 1 and #t = c/a = -1/2#
sin x = t = 1 --> #x = pi/2#
sin x = t = -1/2 --> #x = (7pi)/6# and #x = (11pi)/6#
Within interval #(0, 2pi)#: 3 answers: #pi/2; (7pi)/6 , and (11pi)/6.#
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Hope you find this helpful !
Answer:
25.1327cm
Step-by-step explanation:
C= 2πr
C=2π(4)
C=25.13274122
