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ch4aika [34]
4 years ago
9

What is the perimeter, in units, of polygon PQRSTU? Enter your answer in the box.

Mathematics
1 answer:
ololo11 [35]4 years ago
5 0

Answer:

24 units

Step-by-step explanation:

Perimeter of Polygon PQRSTU = sum of all its side lengths = PQ + QR + RS + ST + TU + PU

PQ = |-4 -(-2)| = 2 units

QR = |4 - 2| = 2 units

RS = |-2 - 2| = 4 units

ST = |2 -(-2)| = 4 units

TU = |2 -(-4)| = 6 units

PU = |4 - (-2)| = 6 units

Perimeter of Polygon PQRSTU = 2 + 2 + 4 + 4 + 6 + 6 = 24 units

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From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab
Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
During a promotional weekend, a state fair gives a free admission to every 188th person that enters the fair. On Saturday, there
damaskus [11]

Answer: 81 people

Step-by-step explanation:

Number of people that attended fair on Saturday = 6737

Number of people that got free admission = 6737/188 = 35.8.

Free admission on Saturday = 35

Number of people that attended fair on Saturday = 8669

Number of people that got free admission = 8669/188 = 46.1

Free admission on Sunday = 46

The people who received a free admission over the two days will be:

= 35 + 46

= 81 people

6 0
3 years ago
Quadrilateral WXYZ is on a coordinate plane. Segment XY is on the line x − 3y = −12, and segment WZ is on the x − 3y = −6. Which
Nostrana [21]

Answer:

Equation shown

Step-by-step explanation:

Eq(1): x-3y=-12

X=-12+3y

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Eq(2): x-3y=-6

X=-6+3y

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4 0
3 years ago
Read 2 more answers
If 10 miles=16km, about how many miles would be equal to 76 km?​
Shalnov [3]

it would be 7 lolz dheisns

6 0
3 years ago
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Please show work<br> 26 lbs of onion cost $127.40. How much would 18 lbs cost\
Irina18 [472]
127.40/26 = $4.90 per pound
18 * 4.9 = $88.20
It would cost $88.20
5 0
3 years ago
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