Both angles, when added together, form a line...this means they equal 180 degrees.
5x + 20 + x + 40 = 180
6x + 60 = 180
6x = 180 - 60
6x = 120
x = 120/6
x = 20
5x + 20 = 5(20) + 20 = 100 + 20 = 120
x + 40 = 20 + 40 = 60
so ur 2 angles are 120 and 60 degrees
Answer:
t ≤ 4.24
Step-by-step explanation:
P(t) ≥ 40000 implies
500t/(2t²+9) ≥ 40000
Multiplying through by t², we have
500t ≥ 40000(2t²+9)
500t/40000 ≥ 2t²+9
Collecting like terms
0.0125t ≥ 2t²+9
0 ≥ 2t²+ 9 - 0.0125t
2t²+ 9 - 0.0125t ≤ 0
2t²- 0.0125t + 9 ≤ 0
Using the quadratic formula,
![t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-%28-0.0125%29%20%2B%2F-%5Csqrt%7B%28-.0125%29%5E%7B2%7D%20-%204%20X%202%20X%209%7D%20%7D%7B2%20X%202%7D%20%5C%5C%3D%20%20%5Cfrac%7B0.0125%20%2B%2F-%5Csqrt%7B%280.00015625%20-%20288%7D%20%7D%7B4%7D%5C%5C%3D%20%20%5Cfrac%7B0.0125%20%2B%2F-%5Csqrt%7B-287.9998%7D%20%7D%7B4%7D%5C%5C%3D%20%5Cfrac%7B0.0125%20%2B%2F-16.97i%20%7D%7B4%7D%5C%5C%3D0.00313%20%2B%204.24i%20or%200.00313%20-%204.24i)
The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)
So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0
(t - 0.00313)² - 4.24² ≤ 0
(t - 0.00313)² ≤ 4.24²
taking square-root of both sides,
√(t - 0.00313)² ≤ √4.24²
t - 0.00313 ≤ 4.24
t ≤ 4.24 + 0.00313
t ≤ 4.24313 ≅ 4.24
t ≤ 4.24
Answer:
A should be around 53.13 degrees.
Step-by-step explanation:
For problems like these, use arc sin, cos, or tan (sin^-1, cos^-1, or tan^-1) multiplied by the fraction given in the problem.
Answer:
there are 10 girls in the club
Step-by-step explanation:
25*40% is equal to 10
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19