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
matrenka [14]
3 years ago
14

6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

You might be interested in
What is the answer cos75 degrees=10/x
vova2212 [387]
To find the answer we simply work out the equation.
cos (75) = 10/x

cos (75) * x = 10. Here, I simply multiplied both sides by x to move x to the left hand side of the equation.

x = 10 / cos (75) Here, I divided cos (75) on both sides to move cos (75) to the right hand side of the equation.

The cosine of 75 is 0.92175127, so, 10 / 0.92175127 = 10.8489137
4 0
3 years ago
A movie is 2 hours and 28 minutes long it starts at 7:20pm at what time will the movie end
umka2103 [35]
Movie starts 7:20 PM
2 hours = 02:00
28 minutes = 00:28

1.) 2 hours and 28 minutes = 02:28
2.) Movie starts 7:20 PM

You want to find out what time the movie will end

      07:20 PM (start time)
   + 02:28       (movie time)
-------------------------------------
      09:48 PM (movie end)

The movie will end at 9:48 PM
6 0
3 years ago
Read 2 more answers
If y varies directly as x, and y is 12 when x is 1.2, what is the constant of variation for this relation?
laila [671]
If you multiply 12 by 0.1, you get 1.2.   To write this as a function you would say y is x multiplied by 0.1.
y=0.1x
6 0
3 years ago
Read 2 more answers
The price of an item has risen to $152 today. Yesterday it was $95. Find the percentage increase.
Oksanka [162]

Answer:

60% increase

Step-by-step explanation:

152 - 95 = -57

57 / 95 = 0.6

0.6 x 100 = 60

5 0
2 years ago
if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?​
kozerog [31]

Answer:

P(x) =  (x-1)² (x-3)

Step-by-step explanation:

P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)

P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)

3 0
3 years ago
Other questions:
  • How to write 5/10 as a decimal
    8·2 answers
  • 6 times a number plus 3 times a second number is 27. the second number is 1 more than 2 times the first number what is the secon
    15·1 answer
  • Find the area of each circle. Use 3.14 for pi. 22m
    12·1 answer
  • Complete the synthetic division below.
    7·1 answer
  • Geometry question please help
    6·1 answer
  • Solve: 6x+1=2(3x-2)+5​
    6·1 answer
  • Jacob bought some bulbs for a total of $18. The cost of each bulb was $3. How many bulbs did Jacob buy?
    11·2 answers
  • Weird math question.
    10·1 answer
  • Can<br> you make a square out of 56 blocks?
    9·1 answer
  • Sk...
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!