B and D I hope this helped
Answer:
Therefore , the factors of 24 are = 1,2,3,4,6,12 and 24
Step-by-step explanation:
.
.
#hope it helps you..
(◕ᴗ◕)
(- 1 + √3)/2
rationalise the denominator by multiplying the numerator/denominator by the conjugate of the denominator.
the conjugate of 1 + √3 is 1 - √3
(1 - √3)/(1 + √3)(1 - √3) = (1 - √3)/( 1² - (√3)²) = (1 - √3)/(1 - 3) = (1 - √3)/(- 2)
multiply numerator/denominator by (- 1)
=(-1 +√3)/2
Answer:
m∠CPD = 129.75°
Step-by-step explanation:
m∠APD + m∠APB = 180 since the angles are supplementary
x + 1 + 3x - 18 = 180
4x - 17 = 180
4x = 197
x = 49.25
m∠APB = 3(49.25) - 18 = 129.75
m∠APB = m∠CPD because the angles are vertical angles
m∠CPD = 129.75°
<em>Height of the pole (DC) is 57.2709m</em>
Step-by-step explanation:
Here, Wire DA and Wire DB supports a pole.
Given that Angle, A=54 , B= 72.
Also, AB = 23m
Now, Taking triangle BCD and Using basic trigonometry
Height of pole H = DC


Now, Taking triangle ACD and Using basic trigonometry


From figure, we know that
AC = AB + BC
AC - BC = AB = 23
Replacing values of AC and BC

Now, TanB= Tan72 =3.0776 and TanA = Tan54=1.3763




Thus, Height of thepole is 57.2709m