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Tanzania [10]
2 years ago
10

12. Make a hexagonal pyramid with a base edge of 6 cm, base apothem of 4 cm and pyramid height of 10 cm. You can do it in clay,

porcelain or cardboard. (40%) It is supported by the following information • Side area • Total area • Volume • Used material • Elements of the figure outlined or marked.
Mathematics
1 answer:
Nonamiya [84]2 years ago
3 0

the volume of the hexagonal prism is 184. 75 cm^3

<h3>How to determine the volume of the hexagonal prism</h3>

It is important to note that the volume of a hexagonal prism is given as;

V = (2/√3) × ap2 × h

Where

  • ap is the apothem
  • h is the height of the prism

From the information given, we have the values of the following parameters;

height = 10cm

apothem = 4cm

base edge = 6cm

Now, let's  substitute the value of the parameters

Volume = (2/√3) × ap^2 × h

Volume = 2/√3 × 4^2 × 10

Multiply through

Volume = 1. 1547 × 16 × 10

Volume = 184. 75 cm^3

Thus, the volume of the hexagonal prism is 184. 75 cm^3

Learn more about a hexagonal prism here:

brainly.com/question/10171109

#SPJ1

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ms. eskew's class had a class average of 77 % on their math test. how would this be written as a ratio? a. 23:100 b. 77:100 c. 5
valina [46]
Writing in percentages is actually writing a fraction with 100 on its denominator.
By doing so, we can easily compare data.
For example 1/2 may be written as 50/100 and it is denoted by 50%.

So, in your question, 77% means 77/100.
Since fractions represent ratios, writing in ratio form, we get 77:100. The answer is (b)77:100
3 0
3 years ago
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
NeTakaya

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

BC=400\ ft

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

\tan\theta=\frac{Opposite\ side}{Adjacent\ side}

\tan C=\frac{AB}{BC}

Plugging in values.

\tan 55\°=\frac{AB}{400}

Multiplying both sides by 400.

400\tan 55\°=\frac{AB}{400}\times 400

571.26=AB

∴ AB\approx 571\ ft

Height of flagpole = 571 ft

6 0
3 years ago
You make $8.95 an hour working at a coffee shop. If you earn $107.40 how many hours did you work?
puteri [66]
12 hours (107.40 / 8.95)
7 0
3 years ago
Read 2 more answers
Kiera pays $1.95 per song<br> she downloads.
Step2247 [10]

Answer:

1 song = $1.95

2 songs = $3.90

3 songs= $5.85

4 songs= $7.80

Explanation:

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6 0
3 years ago
Marjorie bought 24 bottles of juice. Each day she opens and drinks 2 of these bottles of juice. Which inequality represents the
Anika [276]

Answer:

2d≤24

Step-by-step explanation:

Total number of bottled juice bought = 24 bottles

Amount she drank each day = 2 bottles

To get the inequality to represent greatest number of days she can continue before she has to replenish her stock, we will say;

1 day = 2 bottles

d days = 24 bottles

Cross multiply

2 * d = 1 * 24

2d = 24

Since we want to know the greatest number of days she can continue before she has to replenish her stock, the <u>equal to </u>to sign will be replaced with<u> less than or equal to</u> sign as shown;

2d≤24

<em>This shows that the maximum number of days she can continue before replenishing is 12days. It cannot exceed</em>

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3 years ago
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