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
faust18 [17]
3 years ago
7

A wooden box is in the shape of a regular pentagonal prism. The sides, top, and bottom of the box are 1 centimeter thick. Approx

imate the volume of wood used to construct the box. Round your answer to the nearest tenth. brainly
Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Step-by-step explanation:

Given:

Side of regular pentagonal prism = 1 cm

Height of regular pentagonal prism = 1 cm

Find:

Volume of regular pentagonal prism

Computtaion:

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]

Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]

Volume of regular pentagonal prism = (0.25)[√5{9.472}]

Volume of regular pentagonal prism = (0.25)[√47.36]

Volume of regular pentagonal prism = (0.25)[6.8818]

Volume of regular pentagonal prism = 1.72045

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

You might be interested in
38. Express these rates in the lowest terms.
Anni [7]

Answer:

38: is A

39: is A

Step-by-step explanation:

3 0
3 years ago
A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o
Natasha_Volkova [10]

Answer:

<h2>A) 3 cm</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

V=\pi(1^2)(21)=21\pi\ cm^3

The formula of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

\dfrac{1}{3}\pi(r^2)(7)=21\pi        <em>divide both sides by π</em>

\dfrac{1}{3}(7)(r^2)=21         <em>divide both sides by 7</em>

\dfrac{1}{3}r^2=3         <em>multiply both sides by 3</em>

r^2=9\to r=\sqrt9\\\\r=3\ cm

5 0
3 years ago
Read 2 more answers
When solving a system of inequalities, which of the following methods are used? A.guess and check
yarga [219]

Answer:

Option B - graphing is the correct answer.

Step-by-step explanation:

To solve a system of inequalities we need graphing. Inequality tells us about the relative size of two values. When we graph the x and y co-ordinates, the solution is not the drawn line, but the area of the coordinate plane that satisfies the inequality. In inequalities, multiple solutions can be possible.

Plug and chug method does not a complete solution, it only tells where a point belongs. Guess and check does not apply here.

7 0
3 years ago
On a cold February morning, the radiator fluid in Stanley’s car is -18 degrees When the engine is running, the temperature goes
Rasek [7]

Remark

This is an arithmetic progression. You have the first and last terms and the difference.

Givens

a = - 18

L = 60

d = 4.5        

Equation

L = a + (n - 1)d

Solve

60 = -18 + (n - 1) * 4.5   Add 18 to both side

60 + 18 = (n - 1) * 4.5      

78 = (n - 1) * 4.5           Divide both sides by 4.5

78/4.5 = n - 1

17.3333 = n - 1             Add 1 to both  sides.

18.3333 = n

Conclusion

It will that 18 1/3 or 18.33333 minutes to get the from -18 to 60 degrees.


3 0
3 years ago
You buy two packages of almonds. One package is 10.47 kg and the other is 8.23 kg. What is the difference?
fomenos

Answer:

2.04 kg

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the unit rate in the equation: c = 3b
    7·1 answer
  • tomorrow joelle wants to travel a total of 4 miles by walking and running. she plans to run for 20 minutes at a rate of 6 miles
    5·1 answer
  • How do you find the sum of 74.365 and 9.82?
    8·1 answer
  • Really need help on this.
    6·1 answer
  • Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.
    12·1 answer
  • GEOMETRY. PLEASE INCLUDE CLEAR ANSWER AND EXPLANATION
    11·1 answer
  • Gina is buying the t-shirt at $10 the sales tax is 7.5%​
    14·1 answer
  • The sum of the reciprocals of two consecutive integers is 9/20<br> . Find the two integers.
    15·1 answer
  • Work out the number of students at the school
    9·1 answer
  • Please help me with this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!