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:
The amplitude is 4
Step-by-step explanation:
Recall that the amplitude of a harmonic form like this one based on the cosine function is the absolute value of the coefficient that multiplies the function. In our case that coefficient is 4.
So the amplitude of this function is "4".
Based on the given situation, Max final number if his starting number is 7 is -4.5
<h3 /><h3>Algebra</h3>
n + 8
2(n + 8)
So,
2(n + 8) = 7
2n + 16 = 7
2b = 7 - 16
2n = -9
n = -9/2
n = -4.5
Learn more about algebra:
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Answer:
x = 6
Step-by-step explanation:
Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:
The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31
we can write the following equation to find the value of x
5x + 1 = 31 subtract 1 from both sides
5x = 30 divide both sides by 5
x = 6
Answer:
-6 ? I believe so
Step-by-step explanation:
because like a number line shows how much you go and when you count the places from 4 to -10 its 6
