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
Gre4nikov [31]
4 years ago
7

Need help finding the volumes of this pyramid please

Mathematics
1 answer:
o-na [289]4 years ago
7 0
Volume of pyramid = 1/3*AH, where A is the area of the base and H is the height

Since we are given three sides of the triangle (the base of the pyramid), we should use Heron formula: Area of a triangle = sq.root of(s(s - a)(s - b)(s - c)), where s is the semi-perimeter (ie. the perimeter divided by 2) and a, b and c are side lengths.
s = (5 + 12 + 13)/2
= 30/2 = 15
A = sq,root of(15(15 - 5)(15 - 12)(15 - 13))
= sq.root of (15*10*3*2)
= sq.root of 900
= 30 m^2

Volume = 1/3*AH
= 1/3*30*9
= 90 m^3
You might be interested in
Travis has a budget of $300 that he can spend on perennial flowers and at least 6 annual flowers. Perennial flowers are 18 dolla
boyakko [2]

Answer:

  • 18x + 15y ≤ 300
  • x ≥ 0; y ≥ 6

Step-by-step explanation:

Variables are defined in the problem statement.

  18x +15y ≤ 300 . . . . total budget

  y ≥ 6 . . . . . . . . . . . .  minimum number of annuals

  x ≥ 0 . . . . . number of perennials cannot be negative

This system of inequalities describes the situation.

6 0
3 years ago
Triangle XYZ has been enlarged and P as the center of dilation and scale to form a triangle X’ Y’ Z’
Maksim231197 [3]

Distances from the center of dilation are multiplied by the dilation factor. The appropriate choice is ...

... A. X'P/XP = Y'P/YP = Z'P/ZP

_____

We don't know what selection B means in this context.

Selection C will only be true if the dilation is by a factor of 2.

Selection D will only be true if P is the center of the circumscribing circle for both X'Y'Z' and XYZ.

6 0
4 years ago
The sum of two numbers is 12 and their difference is 6. What are the two numbers?
wolverine [178]

Answer:

The two numbers are 9 and 3.

Step-by-step explanation:

x+y=12

x-y=6

---------

2x=18

x=18/2

x=9

9-y=6

y=9-6

y=3

4 0
3 years ago
True or false.4liters=4000milliliters
Ronch [10]

Answer:

TRUE

Step-by-step explanation:

there are 4000 milliliters in 4 liters

×║hope this helps║×

7 0
3 years ago
-11 - 5a = 6(5a + 4) but I really need it in mathematical form. ​
ella [17]

Answer:

Step-by-step explanation:

In this equation what is strange is probably using the letter a as the unknown, but this is a matter of choice we could have calle y or z for that matter. Then we will treat it ans any other equation and solve it.

-11 -5a = 6(5a+4)

-11 -5a= 30a + 24

-11 - 24 = 30a + 5a   (placing the unknown a in the rght side and the numbers in the left to solve the equation)

- 35 = 35a

-35/35 = a

- 1= a

6 0
3 years ago
Other questions:
  • What is 54/3 in simplest form
    7·2 answers
  • JUST GIVE ME THE ANSWER !!!! PLS HELPPPP
    14·2 answers
  • |3x-4|+5<27 how do you work this?
    13·1 answer
  • Answer the following questions:
    14·1 answer
  • Two points are located at (2,3) and (8,-5) complete the equations below to show how you can use the pythagorean theorem to find
    15·1 answer
  • Find the time required for an investment of $5000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly.
    6·1 answer
  • Fill in the two blank boxes!!! help plzzz<br><br>sorry this is not math lol its science
    6·1 answer
  • The drama teacher wants to determine where the drama club should go to celebrate their final performance. Which of the following
    15·2 answers
  • I'm confused can you please help me
    15·1 answer
  • 4 times a number is 44 less than 6 times the number. Find the number.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!