Let's assume
length of rectangle =L
width of rectangle =W
You enclose 3 sides of the garden with 40 feet of fencing
so, we get

now, we can solve for L

we know that
area of rectangle is


now, we can plug

now, we can solve for W

we can use quadratic formula


we can take anyone value ..because both are giving positive value
first dimensions:

now, we can find L


so, length is 34.142feet
width is 2.929 feet
Second dimensions:

now, we can find L


so, length is 5.858feet
width is 17.071 feet
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.
Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is = 5/8
this fraction means and shows that there are 5 students are boys from 8 students.
An angle bisector is basically a bisector that divides an angle into two congruent parts. So, since one part of the angle is 61°, then the other part of the angle is also 61° by the definition of an angle bisector. The answer is C) Definition of Bisect. Hope this helps and have a great day!
Answer:
The correct option is;
The situation shows correlation without causation
Step-by-step explanation:
The given data are;
Weight y
Miles Per Gallon
42
18
36
12
30
6
.
x
24
0
The first difference of the data = 42 - 36 = 36 - 30 = 30 - 24 = 6
18 - 12 = 12 - 6 = 6 - 0 = 6
The first difference of the data is constant and equal to 6
Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;
The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;
(42 - 24)/(18 - 0) = 1
Therefore, the points of the data fit into the straight line and the data of the situation shows correlation
In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.