<span>4x^2 - 36 = 0 ( Original equation )
4x^2 = 36 ( Add 36 to both sides )
x^2 = 9 ( Divide by 4 on both sides )
x = 3 , -3 ( Take the square root of 9 )
Solution set: { +3 , -3 } answer is x = +3 , x = -3</span>
Complete question :
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.
Answer:
24.43 feets
Step-by-step explanation:
Using trigonometry :
Sinθ = opposite / hypotenus
Opposite = height, h
Hypotenus = 26
Sin 70° = h / 26
0.9396926 * 26 = h
height, h = 24.43 feets
Just draw a triangle(front view) and the slant/inclined sides of it are known to be 8 and you found out radius as 3.26. so mark the diameter by doubling radius.
so the material required would be a slice(like pizza slice) of a circle of radius= 8 and arc length = circumference given ,that is 20.5
now using this find the area of sector/slice. its the answer to the last bit.
now coming to next question, go to the kitchen and take any can and measure its dia and height by using a scale. and you might already know the formula to find the suface area of cylinder.
To find the percentage, you divide the new price ($39.90) by the original price ($38), and the multiply it by 100 to change the answer from a decimal to a percentage:
39.90 / 38 x 100 = 105
So 39.90 is 105% of 38
To get our final answer, subtract this by 100%
105 - 100 = 5%
ANSWER: So the percentage increase of the price is 5% ($1.90)
