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
Let the radius of the circle be x, then by the tangent-secant theorem
4^2 = 2(x + 2)
16 = 2x + 4
2x = 16 - 4 = 12
x = 12/2 = 6
Therefore, the radius of the circle is 6 inches.
.25 lbs= 4oz
4oz = 113.398 g
1g= 100cg
113.398 x 100
= 11339. 8 cg
I’m not seeing no image but I hope this helps you
Answer:
D. y = 5x - 11.
Step-by-step explanation:
One equation of a straight line is y = mx + c where m = slope and c = the y-intercept..
Lines which are parallel have the same slope.
So the equation will be y = 5x + c so we have to find c.
As we are given a point on the line we now use the point slope form:
y - y1 = m(x - x1) where (x1, y1) is a point on the line:
The point is (3, 4) so we have:
y - 4 = 5(x - 3)
y - 4 = 5x - 15
y = 5x - 15 + 4
y = 5x - 11.
