Answer:
Z = 6
Step-by-step explanation:
Z/12 = Cos(60°)
Z/12 = 1/2
Answer:
x = 9
Step-by-step explanation:
Using the rule of exponents
×
⇔ 
Given
=
×
=
= 
Since the bases on both sides are common, then equate the exponents
x = 9
Answer:
A:-18
Step-by-step explanation:
Hopefully this helps!
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:
105 degrees
Step-by-step explanation:
You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.