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Tanzania [10]
1 year 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]1 year 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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Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give teachers 1 1
Tamiku [17]

Answer:

\frac{3}{2}t+15\leq 21

Step-by-step explanation:

Let t represent the number of teachers.

We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.

Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.

\text{Number of sheets given to 45 students}=45\times \frac{1}{3}

\text{Number of sheets given to 45 students}=15

So, Noor gave 15 sheets to 45 students.

We have been given that Noor wants to give 1\frac{1}{2}=\frac{3}{2} sheet to each teachers, so the number of sheets given to t teachers will be \frac{3}{2}t.

As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.

We can represent this information in an inequality as:

\frac{3}{2}t+15\leq 21

Therefore, the inequality \frac{3}{2}t+15\leq 21 represents the number of teachers ,t, Noor could give sheets of stickers too.

6 0
3 years ago
Find (2 × 104) − (3 × 103). A) 1.07 × 103 B) 1.07 × 104 C) 1.7 × 103 D) 1.7 × 104
pickupchik [31]
2 \times 10^{4} - 3 \times 10^{3} = 2 \times 10^{4} -0.3 \times 10^{4} = (2.0 -0.3) \times 10^{4} = 1.7 \times 10^{4}

Selection D is appropriate.
4 0
3 years ago
Read 2 more answers
F(x)=2x^3+ax^2-37x-60<br><br> The binomial x-4 is a factor of f(x). Find the value of a.
jekas [21]

Given:

The function is

f(x)=2x^3+ax^2-37x-60

The binomial x-4 is a factor of f(x).

To find:

The value of a.

Solution:

If x-c is a factor of f(x), then f(c)=0.

It is given that, x-4 is a factor of f(x), then f(4)=0.

We have,

f(x)=2x^3+ax^2-37x-60

Substituting x=4, we get

f(4)=2(4)^3+a(4)^2-37(4)-60

f(4)=2(64)+a(16)-148-60

f(4)=128+16a-208

f(4)=16a-80

Now,

f(4)=0

16a-80=0

16a=80

a=\dfrac{80}{16}

a=5

Therefore, the value of a is 5.

6 0
2 years ago
You have been offered a project paying $300 at the beginning of each year for the next 20 years. what is the maximum amount of m
AfilCa [17]
This is a simple problem with some quick addition and subtraction, and a bit of multiplication.

First we figure out how much money you're spending in total, which is $300 each year, for 20 years, so 300 x 20 = 6,000. Now, since the problem is asking for a maximum amount for percentage rate, this means we find the 9% for all 20 years combined and not individually. 9% of 6,000 is of course 540, so if we subtract 540 from 6,000, we get 5,460.

This means your answer is $5,460
8 0
3 years ago
Apply the distributive property to create an equivalent expression.<br> 1/2 (2a - 6b+ 8)
kykrilka [37]
The answer is A-3b+4
7 0
3 years ago
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