Answer:
k = 8
Step-by-step explanation:
7(k - 5) = 21
k - 5 = 3
k = 8
Hope this helps!
Answer:
System of equations:
3.5c + 5a = 377
c + a = 85
Solved:
(53, 32)
Step-by-step explanation:
32 children's tickets were sold and 53 adults tickets were sold.
Answer:
(a - b)^2 = 49 - 4b^2 +2ab
Step-by-step explanation:
Given: a^2 + b^2 = 7b (assuming A is really “a”)
b^2 + (2b - a)^2 = 7^2
Find; (a - b)^2
Plan: Use Algebraic Manipulation
Start with b^2 + (2b - a)^2 = 7^2 =>
b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.
a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms
a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>
a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2
(a - b)^2 = 49 - 4b^2 +2ab
Double Check: recalculated ✅ ✅
(a - b)^2 = 49 - 4b^2 +2ab
<h3>What are trigonometric ratios?</h3>
Trigonometric ratios are defined as the ratio of different sides of a right angle triangle with respect to one angle of the right angled triangle.
Length of the wire = Hypotenuse of the triangle = X
Base of the triangle = Distance from the bottom of the tower to the point where wire is attached on ground = 20 m
Angle b/w Hypotenuse and Base of triangle = 46°
cos(θ) = Base / Hypotenuse
cos(46) = 20 / X
X = 20 / cos(46)
X = 28.79 m
Hence, the length of the wire is 28.79 m.
Learn more about trigonometry on:
brainly.com/question/24349828
#SPJ4
