<em>Answer:</em>
<em>x = 21/4</em>
<em>x = 5 1/4</em>
<em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>- 3/4 = x - 6</em>
<em>- 3 = 4(x - 6)</em>
<em>- 3 = 4x - 24</em>
<em>4x = 24 - 3</em>
<em>4x = 21</em>
<em>x = 21/4</em>
<em>x = 5 1/4</em>
<em>Good luck !</em>
Rectangular prism
is right
Answer:
10π
Step-by-step explanation:
RULE: The angle measure of the central angle is congruent to the measure of the intercepted arc.
RULE: Central Angle = Arc length
Given:
Arc length (20 π) = central angle (180)
we know 180 degrees is a straight line, thus a semi-circle is created. This would be the diameter.
1/2 diameter is the radius. 20π/2 is the radius.
10π
You have to Multiply times 3...
12•3=36
36/12=3
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
