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
Multiply 2 by 1/2 to get 1.
Multiply 1 by 2/3 to get 2/3.
Multiply 2/3 by 3/4 to get 6/12 = 1/2.
Multiply 1/2 by 4/5 to get 4/10 = 2/5.
Multiply 2/5 by 5/6 to get 10/30 = 1/3.
Multiply 1/3 by 6/7 to get 6/21 = 2/7. (I suspect there's a typo in the question.)
And so on, so that the <em>n</em>th term in the sequence is multiplied by <em>n</em>/(<em>n</em> + 1) to get the (<em>n</em> + 1)th term.
Recursively, the sequence is given by
We can solve this exactly by iterating:
and so on down to
or
and with lots of cancellation, we end up with
Answer:
5
Step-by-step explanation:
6=20-3x
combine
6-20=-3x
-14 = -3x
divide by -3
-14/-3 = -3x/-3
x = 4.666 repeatedly
x = 5 approximately
Answer:
boys : 36
girls : 24
Step-by-step explanation:
60 - 12 = 48
48 ÷ 2 = 24 (girls)
24 + 12 = 36 (boys)
2 or 2.4 because 3 quarts is 12 cups. Now if you want to make while servings you can make 2 whole servings. But for the usage of all cups you would make 2.4 servings
12/3=2.4
