I think you multiply it by 4 on both sides
This question is about Pythagorean theorem, a square + b square = c square
Where a and b represents either leg of the triangle (width or height), and c represents the hypotenuse (the diagonal)
Let height = h
For the question above, the equation will be
36 square + h square = 45 square
Subtract 36 square from both sides
36 square - 36 square + h square= 45 square - 36 square
h square = 2025 - 1296
h square = 729
Find the square root of both sides
Square root of h square = square root of 729
h = 27
The height of the television is 27

first let's name a couples of variable
• the number of adults tickets sold: a
• the number of children tickets sold: c
From the problem we know
a + c = 128
and
$5.40c + $9.20a = $976.20
1) solve the equation to alpha
a+c-c = 128 -c
a+0=128-c
a=128-c
2) substitute (128 - c) for a in the second equation and solve to c
$5.40c + $9.20a = $976.20 become
$5.40c + $9.20(128 - c) = $976.20
$5.40c + ($9.20 × 128) - ($9.20 - c) = $976.20
$5.40c - $9.20c + $ 1177.6 = $976.20
($5.40 - $9.20)c +$1177.6 = $976.20
-$3.80c + $1177.6 = $9.76.20
-$3.80c + $1177.60 - $1177.60 = $976.20 - $1177.60
-$8.30c + 0 = $201.40
-$3.80c = - $201.40
-$3.80c. -$201.40
________. = _________
-$3.80. -$3.80
-$3.80c. -$201.40
________. = _________. - they are 4 cut the no
-$3.80. -$3.80
c = $201.40
________
3.80
c = 53
Answer:
You pay 117% of the bill
Step-by-step explanation:
1+x%
k = 18
the common difference d of an arithmetic sequence is
d = a₂ - a₁ = a₃ - a₂ = ....
a₂ - a₁ = 2k - 1 - k - 9 = k - 10 and
a₃ - a₂ = 2k + 7 - (2k - 1) = 2k + 7 - 2k + 1 = 8, hence
k - 10 = 8 ⇒ k = 8 + 10 = 18
the 3 consecutive terms are
27, 35, 43