Answer:
perimeter = 48 in
Explanation:
The perimeter of the shape is the sum of its side lengths.
We are given that the shape is a regular octagon. This means that it has eight equal sides.
Therefore:
perimeter of regular octagon = 8 * side length
Since the side length is given = 6 in, therefore:
perimeter = 8 * 6 = 48 in
Hope this helps :)
Answer:
The most precise name for a quadrilateral ABCD is a parallelogram
Step-by-step explanation:
we have
A(2,3) B(7,2) C(6,-1) D(1,0)
Plot the quadrilateral'
using a graphing tool
The quadrilateral ABCD in the attached figure
Verify the length of the sides
the formula to calculate the distance between two points is equal to
step 1
Find distance AB
A(2,3) B(7,2)
substitute
step 2
Find distance BC
B(7,2) C(6,-1)
substitute
step 3
Find distance CD
C(6,-1) D(1,0)
substitute
step 4
Find distance AD
A(2,3) D(1,0)
substitute
step 5
Compare the length sides
AB=CD
BC=AD
Opposite sides are congruent
<em>Verify the slope of the sides</em>
The formula to calculate the slope between two points is equal to
step 1
Find slope AB
A(2,3) B(7,2)
substitute
step 2
Find slope BC
B(7,2) C(6,-1)
substitute
step 3
Find slope CD
C(6,-1) D(1,0)
substitute
step 4
Find slope AD
A(2,3) D(1,0)
substitute
step 5
Compare the slopes
The slope of the opposite sides are equal, that means, opposite sides are parallel
The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular
therefore
The most precise name for a quadrilateral ABCD is a parallelogram
Answer:
The distance between A and B is 8.5 after rounded to the nearest tenth
Step-by-step explanation:
The formula you always use for distance between points is as pictured.
Point A is (-6, 4), this is x1 and y1
Point B is (2, 1), this is x2 and y2
(2-[-6])^2 + (1-4)^2
since 2 negatives make a positive, 2 - -6 = 8
1 - 4 = -3
This makes 8 squared and -3 squared
8x8 = 64
-3x-3 = 9
64 + 9 = 73
the square root of 73 = 8.544003745
After rounding to the nearest tenth, it is 8.5
I hope this helps you! Good luck :)
Answer:
216 gallon
Step-by-step explanation:
We are given that
Milk in gallon probability week
200 3/30 3
205 4/30 4
210 6/30 6
215 5/30 5
220 4/30 4
225 3/30 3
230 2/30 2
235 2/30 2
240 1/30 1
Total weeks=30
We have to find the average number of gallons of milk consumed per week
The average number of gallons of milk consumed per week
=Total number of gallons of milk/total weeks
Using the formula
The average number of gallons of milk consumed per week
=
=
=gallons/week
Hence, the average number of gallons of milk consumed per week= 216 gallon