126 divided by 7 equals 18
18 m
Answer:
Step-by-step explanation:
1/2 n + 3 = 6
-3 -3
1/2 = 3
Answer is 1.5=n
Answer: the length of string that been let out to fly the kite this high is 172.89 ft
Step-by-step explanation:
The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.
With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.
The height of the kite above the ground represents the opposite side of the triangle
To determine h, the length of the string that has been let out to fly the kite this high, we would apply the
Sine trigonometric ratio which is expressed as
Sine θ = opposite side/hypotenuse
Sin 57 = 145/h
h = 145/Sin57 = 145/0.8387
h = 172.89
If the original side length is "s" and the original slant height is "h", the original surface area is
.. S = (base area) +(lateral area)
.. S = s² +(1/2)*(4s)*h
.. S = s(s +2h)
Now, if we make these replacements: s ⇒ 3s, h ⇒ h/5, we have
.. S' = (3s)(3s +2h/5)
.. S' = 9s² +(6/5)s*h . . . . . . . the formula for the modified area (in terms of original dimensions)
_____
Of course, in terms of the modified dimensions, the formula is the same:
.. S' = s'(s' +2h')
Answer:
4.58 miles
Step-by-step explanation:
The Pythagorean theorem is used to answer such questions. It tells you the relation between the side lengths is ...
AC² = AB² +BC²
In miles, ...
5² = AB² + 2² . . . . . . . fill in the given numbers
25 -4 = AB² . . . . . . . . subtract 2²
√21 = AB ≈ 4.58 . . . . . take the square root
The distance in miles from A to B is about 4.58.
