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JulijaS [17]
3 years ago
12

On an amusement park map the wooden rollercoaster is located at 0,4.The hot dog stand is located at 4,4 .And the log flume is lo

cated at 0,-2
A triangle is formed if you connect the three locations

Each unite on the coordinate plane represents 20 feet

There is a plan to put an arcade in the triangular area of the amusement park

What is the area of the new arcade
Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
The area of the new arcade is 12 feet squared.

In order to solve this question, all you have to do is multiply the base of the triangle by the height of the triangle and then divide it by 2.

I hope that this helps.
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Please help 30 points Asap
Andrej [43]

40 units2˛

   Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).

The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.

  The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.

 L = sqrt((2 - -6)^2 + (1 - -1)^2)

 L = sqrt(8^2 + 2^2)

 L = sqrt(64 + 4)

 L = sqrt(68) = 2*sqrt(17)

  W = sqrt((2-3)^2 + (1- -3)^2)

 W = sqrt((-1)^2 + 4^2)

 W = sqrt(1 + 16)

 W = sqrt(17)

  And the area is length * width, so:

 2*sqrt(17)*sqrt(17) = 2 * 17 = 34

  And the total area is the sum of the areas, so

 34 + 6 = 40

  So the area of the figure is 40 square units.

7 0
3 years ago
Read 2 more answers
Jillian is using integer tiles to add 7 + (negative 2). She uses the steps below. Step 1 7 positive tiles. Step 2 7 positive til
raketka [301]

Answer:

<h3>Step 4</h3>

Step-by-step explanation:

Given the expression 7+(-2)

Let 7 be 7 positive tiles since it is a positive number

Let -2 be 2 negative tiles being a negative number

7+(-2) = 7 positive tiles <em>and</em> 2 negative tiles

note that + * - will give minus sigh (-), the expression will become:

7+(-2) = 7-2

7-2 = 5

Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.

Hence Jillian made an error in step 4

7 0
3 years ago
Read 2 more answers
HELP WILL GIVE BRAINLIEST
mina [271]

Answer:

38° po siya

HOPE IT HELPS

6 0
3 years ago
You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses. Your town requires 1/2 acre (one acre
Varvara68 [4.7K]

Answer:

You have 1.07 acres in this building lot and you can only build 2 houses.

Step-by-step explanation:

You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses.

We are given that 1 acre = 43,560 square feet.

In this building plot (260 foot by 180 foot), the area is:

260 * 180 = 46,800 square feet

Hence, the number of acres we have in this lot is:

\frac{46800}{43560} = 1.07

Since your town requires 1/2 acre to build a house, the number of houses that you can build on it will be:

\frac{1.07}{\frac{1}{2} } = 1.07 * 2 = 2.14

Since the number of houses can only be whole number, we approximate to nearest whole number ≅ 2 houses.

You have 1.07 acres in this building lot and you can only build 2 houses.

4 0
4 years ago
Write the word sentence as an inequality. Thank you!<br> 13 less than a number M is at most 7
Stella [2.4K]

Answer:

13 < M = ≤7

Step-by-step explanation:

8 0
3 years ago
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