Simplifying
(0.75x + 6) + -1(2.5x + -1.9) = 0
Reorder the terms:
(6 + 0.75x) + -1(2.5x + -1.9) = 0
Remove parenthesis around (6 + 0.75x)
6 + 0.75x + -1(2.5x + -1.9) = 0
Reorder the terms:
6 + 0.75x + -1(-1.9 + 2.5x) = 0
6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0
6 + 0.75x + (1.9 + -2.5x) = 0
Reorder the terms:
6 + 1.9 + 0.75x + -2.5x = 0
Combine like terms: 6 + 1.9 = 7.9
7.9 + 0.75x + -2.5x = 0
Combine like terms: 0.75x + -2.5x = -1.75x
7.9 + -1.75x = 0
Solving
7.9 + -1.75x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7.9' to each side of the equation.
7.9 + -7.9 + -1.75x = 0 + -7.9
Combine like terms: 7.9 + -7.9 = 0.0
0.0 + -1.75x = 0 + -7.9
-1.75x = 0 + -7.9
Combine like terms: 0 + -7.9 = -7.9
-1.75x = -7.9
Divide each side by '-1.75'.
x = 4.514285714
Simplifying
x = 4.514285714
Area of a square is side length ^2
To find the length of the side of a square from the area, that’s the square root of the area:
Length of side = sqrt(81) = 9 meters
Area of wall = length of side x height:
Area of wall = 9 x 5 = 45 square meters
Answer: 45 square meters
The price of the television set before taxes is $400
<h3>How to find the price of the television set before taxes.?</h3>
The given parameters are:
Price after tax = $428.00
Tax rate = 7%
The price of the television set before taxes is calculated as:
Price after tax = Price before tax * (1 + tax rate)
This gives
$428.00 = Price before tax * (1 + 7%)
Express the percentage as decimal
$428.00 = Price before tax * (1 + 0.07)
Evaluate the sum
$428.00 = Price before tax * (1.07)
Divide both sides by 1.07
Price before tax = $400
Hence, the price of the television set before taxes is $400
Read more about sales tax at:
brainly.com/question/9437038
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Search up a fraction calculator but the answer is 7/34
Answer:
89.0°
Step-by-step explanation:
The measure of arc CD is the same degree measure as the central angle.
To find the central angle use the right triangle.
The segment from the centre to the chord is a perpendicular bisector, thus
the third side of the triangle = 12.7 ÷ 2 = 6.35
Calculate one half of the central angle using the sine ratio and multiply by 2 for the whole central angle
sin( one- half ) =
= 
, hence
central angle = 2 × 
( ) ≈ 89.0°
Hence measure of CD ≈ 89.0°
