Answer:
B.
Step-by-step explanation:
<2 and <3 are vertically opposite angles and are also congruent. Both the angles are hence called vertical angles.
Answer:
n = 32
Step-by-step explanation:
<u><em>Given:</em></u>
<u><em></em></u>
<u><em>Solve:</em></u>
<em />
<em />



~![\mathrm{[Kavinsky]}](https://tex.z-dn.net/?f=%5Cmathrm%7B%5BKavinsky%5D%7D)
Answer:
x = -
, x = 3
Step-by-step explanation:
Given
(4x - 5)² = 49 ( take the square root of both sides )
4x - 5 = ±
= ± 7 ( add 5 to both sides )
4x = 5 ± 7, thus
4x = 5 - 7 = - 2 ( divide both sides by 4 )
x =
= - 
or
4x = 5 + 7 = 12 ( divide both sides by 4 )
x = 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = - 
left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution
x = 3
left side = (12 - 5)² = 7² = 49 = right side ⇒ solution
The projectile's horizontal and vertical positions at time
are given by


where
. Solve
for the time
it takes for the projectile to reach the ground:

In this time, the projectile will have traveled horizontally a distance of

The projectile's horizontal and vertical velocities are given by


At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about
.
[1]
A1 = (h (a + b)) / 2
A1 = (21 (17 + 32)) / 2
A1 = (21 x 49) / 2
A1 = 1,029 / 2
A1 = 514.5 mm²
[2]
A2 = (b x h) / 2
A2 = (11 x 9) / 2
A2 = 99 / 2
A2 = 49.5 mm²
[3]
The area of the shaded region =
A1 - A2 =
514.5 mm² - 49.5 mm² =
465 mm²
The answer is 465 mm².