Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
<span>If </span><span /><span><span><span><span><span><span>x</span><span>≠</span><span><span><span>0</span></span></span></span><span /></span></span><span /></span><span>x≠0</span></span><span>, then </span><span /><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>x</span><span /></span><span><span>2</span><span /></span></span></span></span><span /></span><span><span><span><span>−</span><span /></span><span><span>−</span><span /></span></span><span /></span><span><span><span>√</span></span><span /></span></span></span><span /></span><span><span>x</span><span /></span><span><span /><span /></span></span></span><span>=</span></span><span /></span></span><span /></span><span>x2x=</span></span>
Answer:
66
Step-by-step explanation:
EHG is a straight line so it is 180°.
You already know the value of FHG, so you can find the value of 2x.
180° = 48° + 2x
2x = 180° - 48°
= 132
x = 132° ÷ 2
= 66
Answer:
Step-by-step explanation:
The equation in vertex form is
Substituting in the coordinates (1,2) to find a,
