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Ket [755]
2 years ago
5

Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the

nearest tenth.
Mathematics
2 answers:
natulia [17]2 years ago
5 0

Answer:

261 cm²

Step-by-step explanation:

The area of the hexagon is 6 times the area of one of the triangles. The area of a triangle is base × height ÷ 2.

A = 6(8.7)10 ÷ 2

A = 261 cm²

ludmilkaskok [199]2 years ago
4 0

Answer:

Step-by-step explanation:

A regular hexagon is made up of six triangles having a height of 8.7cm and a base of 10cm. So the area of the hexagon is 6 times the area of one of the triangles. Since the area of a triangle is bh/2 we have

A=6(8.7)10/2

A=261cm^2

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Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus
Licemer1 [7]

Answer:

Let the complaints by Industry be CbI

CbI               Frequency

Bank            26

Cable           44

Car               42

Cell               60

Collection     28

b) Percentages

CbI               percentage (%)

Bank              13

Cable            22

Car                21

Cell               30

Collection     14

c) The industry with the highest number of complaints is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

b) The percentage for each industry is done in comparison to the the total amount of complaints received.

Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

For the Cable Industry,

Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

For Cell industry,

Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

7 0
3 years ago
There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunch
OverLord2011 [107]

Answer:

The number of students that bring their lunches is 12        

Step-by-step explanation:

Let

x -----> the number of students that bring their lunches

y -----> the total number of students in a class

we know that

The number of students that bring their lunches divided by  the total number of students in a class must be equal to 3/8

\frac{x}{y}=\frac{3}{8}

x=\frac{3}{8}y  -----> equation A

y=32 -----> equation B

substitute the value of y in equation A and solve for x

x=\frac{3}{8}(32)

x=12

therefore

The number of students that bring their lunches is 12

6 0
3 years ago
A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= - to find how many
Andre45 [30]

Answer:

6.1 seconds

Step-by-step explanation:

<u><em>The correct question is</em></u>

A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= √h/4 to find how many  seconds it takes for the package to reach the lifeboat. Round your answer to the nearest tenth of a second

we have

t= \frac{\sqrt{h}}{4}

substitute the value of h in the formula

h=600\ ft

t= \frac{\sqrt{600}}{4}=6.1\ sec

8 0
3 years ago
Nancy had 16 chocolate candies in a bag. Her mother put a handful of candies in the bag. When Nancy counts her chocolate candies
ryzh [129]

The equation should look something like:


x+16 = 32


or



16+x = 32

5 0
3 years ago
Read 2 more answers
I have no congruent sides. One of my angles has a measure of 100 degrees.
aliina [53]
The answer is a scalene triangle
5 0
3 years ago
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