Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
93/5 turned into a decimal is 18.6
Answer:
15
Step-by-step explanation:
Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:
(y2 - y1)/(x2 - x1)
=> Rate of change of the line passing (1,15) and (3,45):
(45 - 15)/(3 - 1) = 30/2 = 15
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Answer with explanation:</h2><h2 />
The confidence interval for population mean is given by :-
Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.
Sample mean : 
Standard deviation: 
Significance level : 
By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-
Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-
Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)
so basically what you would have to do is set up your numbers. it would look something like this. 68
× 49
-------------
and would then multiply 9 by 8, 9 by 6. put it down below the line while making sure to carry the numbers if need be. then do the same with the 4 times 8, and 4 by 6.
