There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Answer:
C. (6, 5) and (3, -4)
Step-by-step explanation:
Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.
Let's try with (6, 5):
3x - y = 13
3 * 6 - 5 =? 13
18 - 5 =? 13
13 = 13
Since this is true, we know that (6, 5) is indeed a solution.
Now let's try with (3, -4):
3x - y = 13
3 * (3) - (-4) =? 13
9 + 4 =?13
13 = 13
Again, since this is true, then (3, -4) must be a solution.
Thus, the answer is C.
<em>~ an aesthetics lover</em>
M = 21 - R is our equation. Plug your value of 12 into the equation for R.
M = 21 - 12.
M = 9.
Greg would have 9 magazines left after reading 12 of them
The height of the skyscraper to the nearest tenth is 234. 95 meters.
<h3>How to determine the height</h3>
From the information given, we have:
- angle of elevation = 32°
- length of the base, adjacent side = 376 meters
- height of the skyscraper, opposite side = x meters
To determine the height of the elevator, let's use the tangent identity
We have that;
tan θ = opposite/ adjacent
The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper
Now, substitute the values, we have;
tan 32 = x/ 376
cross multiply
x = tan 32 × 376
x = 0. 6249 × 376
x = 234. 95 meters
We know that the 'x' represents the opposite side and thus the height of the skyscraper
Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.
Learn more about angle of elevation here:
brainly.com/question/19594654
#SPJ1
Answer:
hi
Step-by-step explanation:
Find the area of the circles: 1. f. Answer: 379.94 square inches 2. ... Given the radius or diameter, find the circumference AND area of each circle to the nearest tenth. 5. r=9 m. C=56.52 m. A=254.34 square meters ... Round your answer to the nearest tenth. 50.2 square feet 9. A company is manufacturing aluminum lids.
