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pentagon [3]
1 year ago
15

NO LINKS!! Please help me with these graphs​

Mathematics
1 answer:
Stella [2.4K]1 year ago
7 0

Answer:

  • square: 9 square units
  • triangle: 24 square units

Step-by-step explanation:

Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.

<h3>Square</h3>

The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.

For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.

The area of the square is 9 square units.

<h3>Triangle</h3>

The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.

The area of the triangle is 24 square units.

__

<em>Additional comment</em>

We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.

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jeremiah is eating at a restaurant he decides too tip the waiter 18% of his meal. if his meal cost $15.00 how much did he pay in
Slav-nsk [51]

Answer:

$17.70

Step-by-step explanation:

$15.00×18%=$2.70

$15.00+$2.70=$17.70

7 0
3 years ago
A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in o
sergeinik [125]

Answer:

The distance in one sweep is 100 cm approximately

Step-by-step explanation:

Here, we want to calculate the distance the wiper covers in one sweep

Mathematically;

we have a structure like an arc of a circle. It is the length of this arc we want to calculate.

The formula for the length of an arc is;

theta/360 * 2 * pi * r

r is the radius which in this case is 50 cm

We have ;

115/360 * 2 * 3.1412 * 50 = 100 cm approximately

4 0
3 years ago
These are the heights of 20 plants.
12345 [234]

Answer:

te mean is 5

median is 12

avarae is 6

Step-by-step explanation:

6 0
3 years ago
Hi there. I am having trouble with calculating in base 4. The problem is 2014-324=
Arlecino [84]

Answer:

The required answer is (201)_4-(32)_4=(103)_4.

Step-by-step explanation:

Consider the provided numbers:

We need to subtract in base 4.

(201)_4-(32)_4

The place value of 201 is:

1 is at units place, 0 is at four's place and 2 is at 4 squared place.

The place value of 32 is:

2 is at units place and 3 is at four's place.

201

- 32

Start subtracting the numbers from the unit place.

Here, we need to subtract 2 from 1, which is not possible so borrow 4 from the four's place but there is 0 at four's place so borrow from 4 squared place and change 2 to 1.

Also change 0 to 4 because we have borrow 4 from squared place.

Now 1 can borrow 4 from the four's place which will become 1+4=5 and change 4 at four's place to 3.

Now the number will look like this:

135

- 32

Now subtract the number as shown.

135

<u>- 32</u>

103

Hence, the required answer is (201)_4-(32)_4=(103)_4.

4 0
3 years ago
in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by
Len [333]

We can use this equation to solve this problem:

<span>t=p+<span>(p⋅r)</span></span>

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as <span>19100</span> or 0.19.

Substituting and solving for p gives:

<span>58.31=p+<span>(p⋅0.19)</span></span>

<span>58.31=1p+0.19p</span>

<span>58.31=<span>(1+0.19)</span>p</span>

<span>58.31=1.19p</span>

<span><span>58.311.19</span>=<span><span>1.19p</span>1.19</span></span>

<span>49=<span><span>1.19p</span>1.19</span></span>

<span>49=p</span>

<span>p=49</span>

Now, we can find how much the VAT was by taking 19% of 49:

<span>19%×49=0.19×49=9.31</span>

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

<span>58.31−49=<span>9.31</span></span>

4 0
3 years ago
Read 2 more answers
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