On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2
a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).
You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.
To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10
Now that you know the length of the dotted line is 10 units, you can now solve for x
(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361
A. square root property
it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format
B. factorising
i just felt like this was easier to factorise than the other 2 options left
C. Completing the square
same reason personal preference
D- Quadratic
the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal
Answer:
<u>D.108</u> is correct.
Step-by-step explanation:
6*3 = 18
18*4 = 72
6*6 = 32
72 + 32 = 108
Have a nice day!
Answer:
Step-by-step explanation:
Let the capacity of the bin is x gallons.
1/2 gallon is 2/3 of x
<u>Convert this into equation and solve for x:</u>
- 1/2 = 2/3x
- x = 1/2 : 2/3
- x = 1/2 * 3/2
- x = 3/4
3/4 gallons of water will fill the bin
