Answer: length = 8cm; width = 6cm
Step-by-step explanation:
The dimensions of a rectangle are the length and width:
Let x be the length of rectangle, and
y, the width of rectangle
Perimeter equals 2x+2y=28, divide through by 2: x+y=14
Make y the subject, y=14-x, input the value of y into the equation and solve by pythagorean theorem:
x^2 + y^2= 10^2 = 100
x^2 + (14-x)^2 =100
x^2 +196-28x + x^2= 100
2x^2- 28x +196= 100
2x^2 -28x +96 =0
x^2 -14x + 48= 0
(x- 8) (x- 6)= 0
x= 8; or x = 6
The length of rectangle is 8 cm
The width of rectangle is 6 cm
I hope this helps.
Answer:
175262
Step-by-step explanation:
The slope of the line = (13-5) / -1 = -8.
The y intercept is at y = 5
so the equation is y = -8x + 5
Answer:
Step-by-step explanation:
Using Pythagoras in 3D.
(The distance between two points in a direction)
For the x-plane.
For the y-plane.
Finding the shortest distance between those two points.
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
