Answer:
x = 0 .
-20/19 (see below).
Step-by-step explanation:
√(x + 1) + √5x = √(7x + 1)
Squaring both sides:
x + 1 + 5x + 2√(x + 1)√5x = 7x + 1
2√(x + 1)√5x = 7x +1 - 1 - x - 5x = x
Squaring both sides:
4(x + 1)(5x) = x^2
20x^2 + 20x - x^2 = 0
19x^2 + 20x) = 0
x(19x + 20) = 0
x = 0, -20/19.
If we substitute x = 0 into the original equation we get
√(0 + 1) + √5*0 = √(7*0 + 1)
1 = 1 so this is a true solution.
-20/19 :- √(-20/19 + 1) is not real so unless we allow complex square root this is extraneous.
Answer: 7.7%
Step-by-step explanation: First find the increase in height by subtracting 52 from 56. 56-52=4.
To find what percent this is of 52, divide 4 by 52. 4/52=0.0769. Then convert this from a decimal to a percent by multiplying by 100. 0.0769*100=7.69.
I just rounded it to the nearest tenth, you can change it how you need to.
Answer:
33.14 ft^2
Step-by-step explanation:
First find the area of the circle
The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft
A = pi r^2 = pi ( 10)^2 = 100 pi
The central angle is 38
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth
33.14 ft^2
Stop and Shop has the better deal, as it is 0.24 cents for each apple if you divide 0.96 by 4, while Path Mark is 0.25 cents.
Answer:
In 5 year it will be worth 2575000
