Answer:
A: the proposed route is 3.09 miles, so exceeds the city's limit
Step-by-step explanation:
The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...
a^2 = (12-6)^2 +3^2 = 45
a = √45 = 3√5
and
b^2 = (6 -2)^2 +4^2 = 32
b = √32 = 4√2
Then the total length, in grid squares, is ...
3√5 + 4√2 = 6.7082 +5.6569 = 12.3651
If each grid square is 1/4 mile, then 12.3651 grid squares is about ...
(12.3651 squares) · (1/4 mile/square) = 3.0913 miles
The proposed route is too long by 0.09 miles.
Answer: Origin, 8,0, 8,3,and 0,3
Step-by-step explanation:
Firstly, it tells us that we need to rotate it around the origin, so no matter what, the origin will always be one of our coordinate. After that -10 and -2 has an 8 difference, so if it is 180 degrees, the co-ordinate must be 8 since the origin and 8 is also a difference of eight.
Secondly, now when we need to find out the height, we know that 5 and 2, which are the heights of D and C, the difference is 3. So x-0=3, well, we already know that x is 3 because 3+0=x. That means DC on the other side is 0,3 since we always read the x axis first and then the y. And there you go! You now know the 4 co-ordinates! They are 0,0 , 8,0 , 8,3 and 0,3
Hope this helps :>
Answer:
1.- $20 dollars.
2.- 12 degrees.
3.- 30 feet.
Step-by-step explanation:
1.- 5×4=20
2.- 2×6= 12
3.- 3×10=30
A theorem is the statement that is provided by deductive logic.......
Answer:
She sold 5.775 kilograms of pears at the farmer's market.
Step-by-step explanation:
Let's first determine the information that the question gives us, and what we need to find.
Given:
The farmer sold 7.7 kilograms of apples and pears
1/4 of the weight is apples
The rest of the weight is pears
Find:
Kilograms of pears that the farmer sold
Start by finding the fraction of the whole weight that was pears...
Now, find 3/4 of 7.7...
She sold 5.775 kilograms of pears at the farmer's market.