Answer:
0.88m²
Step-by-step explanation:
Area of a trapezium = 1/2(a+b)h
a and b are the parallel sides
h is the height
Given
a = 1m
b = 1.2m
h = 0.8m
Substitute
Area of the trapezium = 1/2(1+1.2)(0.8)
Area of the trapezium = 1/2(2.2)(0.8)
Area of the trapezium = 1.1 * 0.8
Area of the trapezium = 0.88m²
Answer:
See graph
+ 
= 9
(-3 , -1) is the center.
= 3 = radius
Step-by-step explanation:
center (h,k)
radius = r
The answer is 180mm^2. (B)
First, we can decompose the shape into a rectangle and a parallelogram. Let’s start with the rectangle.
Formula for a rectangle: bh
The base is 6 while the height is 12. You multiply like so. 6*12=72.
The area of the rectangle is 72.
The formula of a parallelogram is the same as the rectangle. (Bh)
To identify the base in this parallelogram, you would subtract the whole base length, 15 by half of the base length, 6.
15 - 6 = 9.
So the other half base length is 9.
You can simply transform a parallelogram into a rectangle by decomposing the parallelogram into two right triangles and a rectangle. You would take the right triangle at the bottom of the figure and move it to the top of the parallelogram in the photo. Thus, becoming a rectangle.
Now, we can identify the base and the height. The base of the parallelogram is 9 while the height is 12.
You would then multiply 9 by 12 like so to get 108.
After finding the area of the rectangle and parallelogram, you would add them up.
72 + 108 = 180mm^2
Therefore, making the answer choice B.
Answer:
We need a sample of at least 752 students.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error of the interval is:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
How large of a sample must she have to get a margin of error less than 0.03
We need a sample of at least n students.
n is found when M = 0.03.
We have no information about the true proportion, so we use 
.
Rounding up
We need a sample of at least 752 students.
