Answer:
The answer to your question is p = 27.7 q = 29
Step-by-step explanation:
Process
1.- Calculate the value of all the angles of the triangle
The angle of 50° and the one to the right are supplementary
x + 50 = 180
x = 130°
- The sum of the internal angles in a triangle equals 180°
30° + y + 130° = 180
y = 180 - 130 - 30
y = 180 - 160
y = 20°
- The angle of the right triangle
50 + 90 + z = 180
z = 180 - 90 - 50
z = 40°
If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90
2.- Calculate q using the trigonometric function tangent
tan Ф = q / 55
solve for q
q = 55 tan 30
q = 28.9 ≈ 29
3.- Calculate the hypotenuse of the biggest triangle
h² = 55² + 29²
h² = 3866
h = 62,12
4.- Use law of sines to find p
solve for p
p = 
p = 27.74
Answer:
lesser x = -6
greater x = 12
Step-by-step explanation:
(x - 3)^2 - 81 = 0
(x - 3)^2 = 81
x - 3 = +/- 9
x - 3 = 9 or x - 3 = -9
x = 12 or x = -6
Answer: 9.85 inches
Step-by-step explanation:
Each point on the graph represents the total rainfall in one month in this desert. For instance, the 2 points on top of 1.0 inches indicates that there were two months in the year where rainfall was 1.0 inches.
The total rainfall in this desert was therefore:
= 0.4 + 0.5 + 0.5+ 0.6 + 0.85 + 0.85 + 0.95 + 1.0 + 1.0 + 1.05 + 1.05 + 1.1
= 9.85 inches
The distance Tim drives is 300 kilometers
Average speed= 80 km
Time= 3 hours 45 minutes (15/4 hours)
Distance= Average speed/time
= 80 × 15/4
= 1200/4
= 300 kilometers
Hence the distance Tim drives is 300 kilometres
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Answer:
$495
Step-by-step explanation:
This is because Gross income is the total amount without taxes or deductions
So all you have to do is 11x45 which gives you 495.
