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
attashe74 [19]
3 years ago
15

Find the volume of a regular tetrahedron whose altitude measures 10cm.

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0
H = 10 cm,  a - edge;
V = 1/3  a²√3  / 4   * h
h² = ( 2/3 * a√3 / 2 )² + a²
100 = a²/3  + a²
100 = 4 a² / 3
a² = 75
a = √75
a = 5 √3  cm
V = 1/2 * 75√3 / 4 * 10 = 250√3 / 4 = 62.5√3 cm³ ≈ 108.25 cm³
You might be interested in
Show work and answer #9
Kisachek [45]
(4/5)-(3/8)=17/40 or 0.425 mile
6 0
3 years ago
How do you solve a proof?
ziro4ka [17]
To solve a proof, you need to distinguish which is the hypothesis and which is the conclusion. The hypothesis is the starting point and the conclusion is the ending point. We go from hypothesis to conclusion. A conditional statement can be written as If A, then B. Where A is the hypothesis and B is the conclusion.

For example, take this theorem.

If two sides of a triangle<span> are congruent, then the angles opposite those sides are congruent.
</span>
We go from Two sides of a triangle are congruent to the angles opposite those sides are congruent.

The first statement's reason is pretty much always Given.
 
                                                         Statement | Reason
1. Two sides of a triangle are congruent         1. Given
....                                                                        After a bunch of steps
3. the angles opposite those sides are congruent. 3. Your postulate of definition of what reason you need to complete the last step.

Sorry if this is a little confusing.


6 0
3 years ago
The graph of F(x), shown below, has the same shape as the graph of G(X) =
defon

Answer: (X-3)^4

Step-by-step explanation:

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shifted b units to the right.

Therefore, the equation is F(x) = G(x-3) = (X-3)^4

7 0
3 years ago
(2+ 3)(8-13) write answer in simplest radical form.<br>​
denis-greek [22]

Looks like a good question, using the mathematical term of "radical."

7 0
4 years ago
Read 2 more answers
Which number line shows the solution set for 1h-21 = 4?
Dafna11 [192]

Answer: Option 2

Step-by-step explanation:

|h-2|=4\\\\h-2=\pm 4\\\\h=-2, 6

8 0
2 years ago
Other questions:
  • There are 1500 bees in a colony. Each month, the number of bees decreases by 12%. There are 800 flowering plants in a garden. Ea
    11·1 answer
  • Ms.Cubaj uses a piece of rope that is 40 meters long to make a rectangular garden. The perimeter of the rectangle must be 40. Wr
    6·1 answer
  • An electronics store is deciding how to price one of its products. The equation P=-25d^2+500d predicts the total profit P as a f
    13·1 answer
  • Find the value of 5x and 3x+60
    14·1 answer
  • The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width.
    15·1 answer
  • The products of 0.42 with 0.2 can be written in fraction?
    10·2 answers
  • Myka bought a shirt that was originally priced at $40 and on sale for $34. What was the percent discount?
    9·1 answer
  • Fatima opened a savings account with $7,500. She decided to deposit that same amount semiannually. This account earns 3.975% int
    7·1 answer
  • I need help with this
    5·1 answer
  • Consider the cylinder below. Which statements are true?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!