1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
3 years ago
15

A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest

tenth. HELP PLEASE!!
Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of \frac{360} 5 = 72°. Each of the other angle is \frac{180-72} {2} =54°. From there, you can calculate the height of each base triangle as in \frac {h} 7 = tan54 or 9.634...cm.

Your volume will be 5 * \frac  {(14 * 9.634)} 2 * 12 = 4046.56 cm^3

You might be interested in
Giving brainlist to whoever answers
Nookie1986 [14]

Answer:

7/12

Step-by-step explanation:

lemon is 5/12

lime is 7/12

6 0
3 years ago
What is the length of arc S?<br> (The angle in the figure is a central angle in radians)
IgorC [24]

Answer:

π/90 or 0.0035 units

Step-by-step explanation:

equation: <em>length of the arc = ∠of the angle/360 * circumference</em>

Substitute: <em>S = 0.4/360 * 10π</em> --> C = 2πr

Simplify: S = 1/900 * 10π

Simplify: S = π/90 ≈ 0.003489 units

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BQuestion%3A%7D" id="TexFormula1" title="\huge\boxed{Question:}" alt="\huge\b
iragen [17]

The equivalent expression for (x + 4)^5 is x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

The expression is given as:

(x + 4)^5

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1  + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5

Evaluate the exponents

(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024

Evaluate the products

(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

Hence, the equivalent expression for (x + 4)^5 is x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

Read more about binomial expressions at:

brainly.com/question/13602562

7 0
3 years ago
Read 2 more answers
Ryan's mother recorded how many donuts he has eaten over the past few months. cake donuts 3 chocolate frosted donuts 48 maple do
maw [93]

Answer:

6

out of the total donuts (90), Ryan ate 12 cream filled donuts. 45 is half of that, therefore he should eat half the cream filled donuts

5 0
2 years ago
Angelo drew a scale model of the flagpole at school. If the actual pole is 15 feet tall, and his drawing is 10 inches tall, what
Darya [45]

Answer: \frac{2}{3}

Step-by-step explanation:

Given

Angelo drew a model with his drawing length 10 inches tall

The actual pole length is 15 feet tall

drawing scale is the ratio of drawing length to the actual length i.e.

\Rightarrow \text{Scale used l=}\dfrac{10}{15}\\\\\Rightarrow l=\dfrac{2}{3}

5 0
3 years ago
Other questions:
  • Explain how you setup your excel worksheet. Make sure to address any formula used by showing an example but avoid using cell ref
    7·1 answer
  • Order the fractions from least to greatest 2/3 2/9 5/6 11/8
    7·1 answer
  • A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is the total
    5·1 answer
  • 90 points PLZ HURRY Express 7 as a fraction. A) 1 7 B) 14 2 C) 2 7 D) 20 3
    12·1 answer
  • Find the greatest common factor of 12m^2 and 9b^4
    12·1 answer
  • I need help.<br> Math is really hard
    11·1 answer
  • If a circle has a radius of 8 units what is its circumference
    5·2 answers
  • Find the slope of the graphed line.
    8·1 answer
  • What is 1200 x 1200?<br><br> (this is just becouse i was bored) <br> Plz answer me <br> thx
    9·1 answer
  • Find the LCM of 14 and 18 using prime factorizations.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!