Answer:
The area of the brick border is
Step-by-step explanation:
we know that
The area of the brick border is equal to
Answer: x=70, y=30
Step-by-step explanation:
The area A of polygon ABCDEFG with the given vertices is 10 square units
The vertices are given as
A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)
The area of the polygon is calculated using
Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|
So, we have
Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|
Evaluate the sum of products
So, we have
Area = 1/2 * |-20|
Remove the absolute bracket
So, we have
Area = 1/2 * 20
Evaluate the products
So, we have
Area = 10
Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units
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Answer:
Albuquerque is 345 miles away from Flagstaff.
Step-by-step explanation:
We are given three cities:
The journey took place as:
L.A.--to-----Flagstaff-----to-----Albuquerque.
The distance between L.A. to Albuquerque is 810 miles.
Let the distance between Flagstaff to Albuquerque be 'x' miles.
Also we are given that the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque.
i.e. distance from L.A. to Flagstaff is 120+x.
therefore, 120+x+x=810
⇒ 120+2 x=810
⇒ 2 x=690
⇒ x=345.
Hence, the distance between Flagstaff and Albuquerque is 345 miles.
Answer
3
Explanation
When looking for the quartiles of any data, you first arrange the data in ascending order.
The lower quartile of a data is the median of the lower half of that data.
The data in the question is already in ascending order.
The lower quartile is the value that is in (1/4)th position.
1/ 4 × 11 = 2.75th position.
This digit is between 2nd position and 3rd position but nearer 3rd position.
0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8.
So we take the lower quartile to be in the 3rd position.
Answer is 3.
Answer:
3 is the answer
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation: