Answer:
49
Step-by-step explanation:
angle QPR and angle TPS are alternate angles and their measure is equal to each other:
3x + 1 = 148 subtract 1 from both sides
3x = 147 divide both sides by 3
x = 49
T_n = 3 * T_(n-1)
Long way (always works!)
T_5 = 3*T_4,
T_4 = 3*T_3
T_3 = 3*T_2
T_2 = 3*T_1
T_5 = 3*3*3*3*T_1 = 81*T_1 = 81*8 = 648!
Short way (sometimes it works!)
T_n = 3^(n-1) * T_1 (this case is a geometric series of ratio-=3)
T_5 = 3^4*8 = 648
<h2>
Answer: -1.469</h2>
This trigonometric function can be written as:
(1)
Firstly, we have to solve the inner parenthesis:
(2)
Substituting (2) in (1):
(4)
Finally we obtain the value:
Answer:
I drew more points as uploaded picture.
We have, arc BD + 210 + 90 = 360 deg
(sum of all arcs on circle)
=> arc BD = 360 - 210 - 90 = 60 deg
Here we have angle CBD = (1/2) x arc CD = (1/2) x 90 = 45 deg
(property of angle on circle)
=> angle ABD = angle ABC - angle CBD = 180 - CBD = 180 - 45 = 135 deg
( A, B, C lie on same line => ABC = 180 deg)
Otherwise, we have:
angle BDA = (1/2) x arc BD = (1/2) x 60 = 30 deg
We have: x + angle BDA + angle ABD = 180 deg
(sum of all angles in a triangle)
=> x = 180 - angle BDA - angle ABD
=> x = 180 -135 - 30
=> x = 15 deg
Hope this helps!
:)
Answer:
29,750
Step-by-step explanation:
Each year the population is multiplied by 100% + 4% = 1.04. We want to repeat that multiplication 15 times, once for each of the 15 years. An exponent is what we use to signify (and compute) repeated multiplication. The population will be ...
16,519 × 1.04^15 ≈ 29749.8 ≈ 29,750