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
Nezavi [6.7K]
3 years ago
7

The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m long. The distance r from one

corner to the center of the base is 11.5 m. What is the vertical height, h, of the tetrahedron?

Mathematics
2 answers:
Kay [80]3 years ago
7 0

Answer

Find out the  the vertical height (h)of the tetrahedron .

To prove

By using the pythagorus theorem

Hypotenuse² = Perpendicular² + Base²

As given

The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m long.

The distance r from one corner to the center of the base is 11.5 m.

As shown in the diagram given below.

AB² = AD² + DB²

As given in the question

AD = h , AB = 20 m , DB = 11.5 m

Put in the above

(20)² = h² + (11.5)²

h² =  (20)² - (11.5)²

h² = 400 - 132.25

h² = 267.75

h = \sqrt{267.75}

h = 16.36 m (approx)

Therefore the vertical height,h ,of the tetrahedron is 16.36 m (approx) .




Pavel [41]3 years ago
4 0
The answer is 16.36 meters
You might be interested in
Write a function to represent each problem situation Carmen deposits $1000into simple interest account.The rate for the account
kolezko [41]

The function the represent the balance in the account as a function of time t is p(t) = 1000 + 40t

<h3><u>Solution:</u></h3>

Given that,

Carmen deposits $1000 into simple interest account

The rate for the account is 4%

To find: function the represent the balance in the account as a function of time t

Given is simple interest account

The formula for simple interest is given as:

S.I = \frac{ prt}{100}

Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years

In simple interest,

total amount after "t" years = principal + simple interest

Here in this question, Carmen deposits $1000

p_0 = 1000

r = 4 \% = \frac{4}{100} = 0.04

Thus we can frame a function as:

total amount after "t" years = principal + simple interest

p(t) = p_0 + (p_0 \times r \times t )

p(t) = 1000 + (1000 \times 0.04)t\\\\p(t) = 1000 + 40t

Where, p(t) is the amount after "t" years and p_0 is the principal sum

Thus the function is obtained

7 0
3 years ago
Can someone help me plead
andrew-mc [135]

Answer:

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

Step-by-step explanation:

The following equations are given

a. 2 × 2× 2

b. 3 × 3 × 3 × 3

c. 4 × 4 × 4 × 5 × 5

d. 9 × 7 × 9 × 9 × 7 × 9

We need to find the index notation for the above equations

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

In this way it should be done

The same would be relevant

4 0
2 years ago
Please answer with proof/work I give points
Phoenix [80]

Answer:

H. 8.874 hours

Step-by-step explanation:

There is a seven, that has the value of 7/100. 7/100 as a decimal is .07 because there is a 7 in the hundredths place. There has to be a number that contains 7/100, or a value in the hundredths place, and that is 8.874.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Y=7<br> Y=-2x+1<br><br> Find the intersection
stealth61 [152]
I was going to answer but she gave you the answer sooo
3 0
3 years ago
Can you add and subtract integers and surds together?
Ne4ueva [31]

Answer:

Both of these examples are wrong. You cannot add/subtract integers and square roots together, however, you could add square roots together if they have the same number under the square root. For example, 2 - 2√6 will stay as 2 - 2√6 because they aren't like terms. 25 + 5√5 + 5√5 + 5 = 30 + 10√5 because 25 + 5 = 30 and 5√5 + 5√5 = 10√5. We can add 5√5 and 5√5 together because they have the same number under the square root. If we were to compute √2 + √3, we would just leave it as is because they don't have the same number under the square root.

4 0
3 years ago
Other questions:
  • Each half inch of a ruler is divided evenly into eight division what is the level of accuracy of this measurement tool?
    7·1 answer
  • 2.25x=27<br> Addition Property <br> Substraction Property
    5·1 answer
  • Who knows this please!!!
    13·1 answer
  • Simplify (5 + 1)^2- (11 +32) divided by 4
    10·1 answer
  • A realtor earns a 3.25% commission
    7·1 answer
  • Two parallel lines are crossed by a transversal. What is the value of k? k = 9 k = 20 k = 60 k = 71
    11·1 answer
  • For her phone service, Kaitlin pays a monthly fee of $10, and she pays an additional $0.07 per minute of use. The least she has
    10·1 answer
  • Which is the y-intercept of the graph of f ?
    13·1 answer
  • To win a prize in a math contest, an individual must correctly fill in the blank below. (−3)(4−5)= [blank] −−−−−−(−3)(4−5)= [bla
    12·1 answer
  • S is located at (9 -3) point T is located at (4 -3)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!