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Rzqust [24]
3 years ago
12

A regular heptagon has sides measuring 26mm and is divided into 7 congruent triangles. Each triangle has a height of 27mm. What

is the area of the heptagon?
Mathematics
1 answer:
Yuri [45]3 years ago
6 0
The area of any regular polygon when a side length is know is just:

A(s,n)=ns^2/(4tan(180/n))  in this case:

A(26, 7)=(7*26^2)/(4tan(180/7))

A(26, 7)=2456.5 mm^2 to nearest tenth of a mm^2
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The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee
adoni [48]

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

4 0
3 years ago
Find the area under the standard normal curve between z=0.45 and z=1.13
Law Incorporation [45]

Step-by-step explanation:

the answer is in the above image

8 0
3 years ago
Safie can write a minimum of five questions per hour and a maximum of eleven questions per hour. What is the difference betwwen
Monica [59]

Answer:

<em>The difference is 30 hours</em>

Step-by-step explanation:

<u>Proportions</u>

Safie can write a minimum of 5 questions per hour and a maximum of 11 questions per hour.

To write 275 she takes a maximum of 275/5=55 hours and a minimum of 275/11=25 hours.

The difference is 55 hours - 25 hours = 30 hours

3 0
3 years ago
Help pleaseeeeeeeee​
Doss [256]

Answer:9

Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.

4 0
3 years ago
Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages
lbvjy [14]

9514 1404 393

Answer:

  • Keiko: 17
  • Chang: 24
  • Abdul: 68

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

  c + (c -7) +4(c -7) = 109

  6c -35 = 109 . . . . . . . . . . simplify

  6c = 144 . . . . . . . . . . . add 35

  c = 24 . . . . . . . . . . . divide by 6

  c-7 = 17

  4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.

5 0
3 years ago
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