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Nadusha1986 [10]
2 years ago
5

The angle of rotation at which point A’ coincidences point

Mathematics
1 answer:
anygoal [31]2 years ago
8 0

Answer:

216 degrees

Step-by-step explanation:

Given that ABCDE is a regular pentagon.

Hence each angle would equal = {2(5)-4}/5 right angles

=6(90)/5 =108 degrees

Since regular pentagon rotation will not disturb the shape.

When counterclockwise rotated, if 108 degrees rotated A would become E.

For another 108 degrees A would come to D

Hence angle required for rotation for A to coincide with D = 2(108)

=216 degrees

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Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet
belka [17]
Answer: 3.4 h

Explanation:

1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.

This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.

2) Speed of Cody

Cody can complete the project in 8 hours => 1 project / 8 h

3) Speed of Kaitlyn

Kaitlyn can complete the project in 6 houres => 1 project / 6 h

4) Speed working together:

1 / 8 + 1 / 6  = [6 + 8] / (6*8  = 14 / 48 = 7 / 24

7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.

Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.
7 0
3 years ago
Read 2 more answers
Plz help meeeeeeeeeee
PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

                = 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

           = 27/12

           = 9/4

           = 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

         = 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

          = 3/2

          = 1.5

Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

8 0
2 years ago
What number times 3 is 18?
kobusy [5.1K]

Answer: 6

Step-by-step explanation:

6+6=12 12+6=18 thus 6 times 3 is 18

7 0
3 years ago
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Which situation CANNOT be represented by this equation? -1\4x + 14 = 8
ahrayia [7]
Probably C)
it starts with 8-foot diameter, and it is supposed to get smaller

This is just a theory
6 0
3 years ago
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Find the distance between 13/3 and the square root of 16/9
Ainat [17]

Answer:

Root 16=4

Root 9=3

Therefore it becomes 4/3

Now distance between the two= 13/3-4/3 which is equal to 9/3 and 9 divided by 3 is 3.

Therefore the distance between the two on a number line is 3

3 0
3 years ago
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