The length of AC is 16 km.
Solution:
Given data:
AB = c = 14 km, ∠A = 30° and ∠B = 89°
AC = b = ?
<u>Let us first find angle C:</u>
<em>Sum of all angles in a triangle = 180°</em>
m∠A+ m∠B + m∠C = 180°
30° + 89° + m∠C = 180°
119° + m∠C = 180°
Subtract 119° from both sides, we get
m∠C = 61°
<u>To find the length of AC:</u>
<em>Using sine formula:</em>

Substitute the given values in the formula.

Multiply by sin 89° on both sides.



The length of AC is 16 km.
Answer:
For the first picture, the y-intercept is the height the pebble was dropped from. The x-intercept is the amount of seconds it took for the pebble to hit the ground.
For the second picture, the y-intercept is the height of the soccer ball (ground level). The x-intercept is the amount of seconds it took for the soccer ball to hit the ground.
Let the mean number of cars passing through intersection 1 be μ1 and that of intersection 2 be μ2. Then the appropriate test of the city planner's hypothesis is
H0: μ1 - μ2 = 0
H1: μ1 - μ2 ≠ 0
Answer:
The distance between 2 points is 16.1 units.
Step-by-step explanation:
You have to apply distance formula using coordinates,

Let (x1,y1) be (-6,2),
Let (x2,y2) be (8,10)





Answer:
I believe the answer is 4 inches long
Step-by-step explanation: