Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° = =
=
( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG = ≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° = =
=
( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF = ≈ 32.3 in ( to the nearest tenth )
Answer:
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>
