Answer:3.677 miles
Step-by-step explanation:
First we have to know that the distance between two consecutive milestone is 1mile, I have attached a diagram representing the problem, point C being the point of the balloon and point A and point B being the points of the consecutive milestones
I labelled the horizontal length between the balloon and the first milestone x and the height of the balloon h
From the diagram, we use the tan rule for right angle triangles to find x and h
Tan22=h/x
Making her the subject of formula
h=xtan22 (1)
Similarly
Tan20=h/(x+1)
h=(x+1)tan20 (2)
Putting (1) and (2) together
We solve for x, and then input our value for in (1) to get the value for h, the solution is in the second picture I sent
Note: tan rule says the tan of an angle is equal to the opposite side of the triangle(side directly facing the angle) divided by the adjacent side of the triangle( side of the triangle the angle is resting on)
Angle of depression from C to B is also angle of elevation from B to C( alternate angle are equal)
Answer:
The answer to your question is there were 88 children
Step-by-step explanation:
Data
Total number of people = 188
total cost = $5040
12 more adults than seniors
number of children = ?
adults = a
children = c
Process
1.- Write equations that help to solve this problem
a + c = 188 Equation l
a = c + 12 Equation ll
2.- Solve by substitution. Substitute equation equation ll in equation l
(c + 12) + c = 188
-Solve for c
c + 12 + c = 188
2c + 12 = 188
2c = 188 - 12
2c = 176
c = 176 / 2
c = 88
3.- Conclusion
There were 88 children
Answer:
Step-by-step explanation:
A theatre has 4 chair in a row; lets draw that out
Let's pretend that this is a chair: ♦
So we have 4 chairs in a row
♦ ♦ ♦ ♦
And there are 5 rows
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
Let's find the perimeter;
4 + 5 + 4 + 5
=18
The perimeter is 18 rows.
Answer:
hat: $12
t-shirt: $8
Step-by-step explanation:
Let the price of 1 hat = h.
Let the price of 1 t-shirt = t.
Julie: h + 2t = 28
Raj: 2h + t = 32
We have a system of 2 equations in 2 variables.
h + 2t = 28
2h + t = 32
Let's use the substitution method to solve the system of equations.
Solve the first equation for h.
h = 28 - 2t
Substitute 28 - 2t for h in the second equation.
2(28 - 2t) + t = 32
56 - 4t + t = 32
56 - 3t = 32
-3t = -24
t = 8
h = 28 - 2t
h = 28 - 2(6)
h = 12
Answer:
hat: $12
t-shirt: $8
Answer:
16:24,
4:6
24:36
Step-by-step explanation:
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