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
vesna_86 [32]
3 years ago
15

The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha

t is the perimeter of the base?
Mathematics
2 answers:
nadezda [96]3 years ago
4 0
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5

side^2 =240 * 0.72654 / 5

side^2 = <span> <span> <span> 174.3696 </span> </span> </span> / 5
side^2 = <span> <span> <span> 34.87392 </span>
</span></span>
side = <span> <span> <span> 5.9054144647 </span></span></span>
Pentagon Perimeter = <span> <span> <span> 5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter = 29.5270723235 </span> </span> </span>




Maksim231197 [3]3 years ago
4 0

Answer:

30

Step-by-step explanation:

You might be interested in
How many centimeters are there in 1 yard if there are 2.54 centimeters per inch?
mars1129 [50]
There are 36 inches in a yard so 36*2.54 = 91.44 centimeters
4 0
3 years ago
Find the ratios for the trig functions below<br><br> sin A =<br><br> cos C =
kondor19780726 [428]

Answer:

Sin A: 35/37

Cos C: 35/37

Step-by-step explanation:

Sin A: 35/37

Cos C: 35/37

Using acronym SohCahToa we know

Sin is Opposite/Hypotenuse

Cos is Adjacent/Hypotenuse

With each problem we mark by the letter given to create adjacent side.

I hope this helps!

5 0
3 years ago
21x^3 + 6x^2 - 28x - 8 factor this expression with work please?
marusya05 [52]
21x^3 + 6x^2 - 28x - 8 \\ \\ 3x^2 (7x + 2) - 4(7x + 2) \\ \\ (7x + 2)(3x^2 - 4) \\ \\

The final result is: (7x + 2)(3x<span>² - 4).</span>
3 0
3 years ago
Read 2 more answers
What is the value of y when x=7?
Gwar [14]
The value of y would be 60

The way you would solve this is by plugging in 7 for x.
After you plug in the 7 for x you would have to multiply 7 by 4 to get 28.
Next you would add 28 to 32 to get 60.
Your final answer should be y=60
5 0
3 years ago
Read 2 more answers
What is the image of the point (2, -3) after a rotation of 180° counterclockwise
horsena [70]

Answer:

(-2, 3)

Step-by-step explanation:

  • <em>When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative</em>

<u>Point (2, -3) becomes:</u>

  • Point (-2, 3)
5 0
3 years ago
Other questions:
  • Convert 21 99 to a decimal using long division.
    9·1 answer
  • The music store is having a 15% off sale on all classical music cds. Lyell has a coupon for 20% off any classical music cd. How
    15·1 answer
  • -16= 27 + 3b + c<br> How do I find b and c
    13·1 answer
  • What is the value of 63,108 divide by 72
    9·2 answers
  • WILL GIVE BRAINLIEST!! FINALS!
    15·1 answer
  • The average density of the material in intergalactic space is approximately 2.5 × 10–27 kg/m3. what is the volume of a lead samp
    8·1 answer
  • Is y=6x+4 one solution?
    12·1 answer
  • I need help with this so could you give me the answers with an explanation if you can.​
    7·1 answer
  • URGENT!! <br><br> Please divide this polynomial
    8·1 answer
  • Help asap plz I can’t fail this test again
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!