On a coordinate map,a pizzeria is located at (9,3).A pizza is being delivered to a house located at (9,-3).Each unit represents 1 mile.How far is the pizzeria from the house?
Answers
distance=√[(x₂-x₁)²+(y₂-y₁)²]
In this case:
(9,3)
(9,-3)
distance=√[(9-9)²+(-3-3)²]=√36=6
Answer: The distance between the house and the pizzeria is 6 miles.
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Jennifer had $30 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket at the museum, and 1/2 of it on a book. How much money does Jennifer have left over? Show all your work.
Answers
8 = 3/4 w Divide by 3/4
w = 8/(3/4)
w = 8/ (3/4) = 8 x 4/3 Multiply by the numerator and divide by the denominator.
w = (8 x 4) / 3
w = 32 / 3
w = 10 2/3
8(4)=3w
32=3w
Now you want to divide both sides by 3
32/3=w
10.67=w
This should be your answer :)
Answers
Ribbon: 4/ 5/ 6/ leftover 3
Kites: 3/ 3/ 3/ 3
Leftover: 1/ 2/ 3/ 0
Make a graph like that that solves the problem.
Answer:
12 kites because 12 is the least common multiple of 3 and 4
Answers
Answers
x + 65 = 120
Thanks!
Answers
-65 -65
x = 55
x + 65= 120
x = ?
120 - 65 = x
120 - 65 = 55
x = 55
CHECK OUR WORK:-
x + 65 = 120
x = 55
55 + 65 = ?
55 + 65 = 120
We were RIGHT!!!!
So, x = 55.
Hope I helped ya!! xD
B. 25.8 square units
C. 26.3 square units
D. 27.5 square units
Answers
Answer:
Option D.
Step-by-step explanation:
we know that
The area of the image is equal to the area of the complete square minus the area of triangle 1, minus the area of triangle 2, minus the area of triangle 3, minus the area of trapezoid 4
see the attached figure to better understand the problem
Find the area of the complete square
Find the area of triangle 1
Find the area of triangle 2
Find the area of triangle 3
Find the area of triangle 4
The area of the image is equal to
The area of the given image, calculated using the Shoelace Formula based on the coordinates of its vertices, is 27.5 square units.
The correct answer is option D.
To determine the area of the provided image formed by the points H(0,0), L(1,5), K(4,8), J(-1,8), and I(-4,5), we can employ the Shoelace Formula. This formula calculates the area of a polygon based on the coordinates of its vertices. For a polygon with vertices (x₁, y₁), (x₂, y₂), ..., (xₙ, yₙ), the formula is:
Area = 1/2 * |x₁y₂ + x₂y₃ + ... + xₙy₁ - y₁x₂ - y₂x₃ - ... - yₙx₁|
Applying this formula to the given points:
Area = 1/2 * |(0 * 5 + 1 * 8 + 4 * 8 + (-1) * 5 + (-4) * 0) - (0 * 1 + 5 * 4 + 8 * (-1) + 8 * (-4) + 5 * 0)|
Area = 1/2 * |(0 + 8 + 32 - 5 - 0) - (0 + 20 - 8 - 32 + 0)|
Area = 1/2 * |35 - (-20)|
Area = 1/2 * 55
Area = 27.5 square units
Therefore, the correct answer is D. 27.5 square units.
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