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san4es73 [151]
4 years ago
6

A pyramid composed of four equilateral triangles, called a tetrahedron, has a one-side length of 5 meters. What is its surface a

rea? Round the answer to the nearest tenth.
____ square meters.

A) 125.0
B) 43.3
C) 68.3
Mathematics
1 answer:
natulia [17]4 years ago
8 0
The surface area of a regular tetrahedron is computed as the product of  √3 and the square of the length of one side. The length given is 5 meters, by evaluating, we will have A = √3 (a²) = √3 (25) = 43.30. The answer is B.
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A casino wants to offer a new game with (potentially) spectacular prizes:The player flips a fair coin until they flip heads.The
MissTica

Answer:

The casino should charge for this game at least $1 to break even.

Step-by-step explanation:

We can define the prize function as

M(n)=2^{ n+1}

where M is the prize money and n is the number of tails in continous flips.

The probability of n consecutive tails can be calculated as p^n=0.5^n. The probaility of getting a head after the n consecutive tails is p=0.5, so the probability of having n consecutive tails and a head is p^{n+1}=0.5^{n+1}

Then we can calculate the expected value of M as

E(M)=p_i*M_i=(0.5)^{n+1}*2^{n+1}=1^{n+1}=1

The expected money prize for this game is $1, so the casino should charge to play at least $1 to break even.

4 0
4 years ago
Use the properties of real numbers to simplify the expression:<br> If m=18, then m−4=
Alinara [238K]
14

18-4=14

Mark brainliest please
8 0
3 years ago
Read 2 more answers
Whoever answers this will get brainlyest and 20 points!!
Goryan [66]

Answer:

7, -3/4, -3

Step-by-step explanation:

Note that all three of the given functions are linear.  We can read the slopes directly from these functions:  7, -3/4, -3.  Between any two values of x, the slope is exactly the same in each of these three functions.

Thus,

1) the average rate of change of f(x) = 7x - 4 over the interval [2,4] is 7.

2) the average rate of change of g(x) over the given interval is -3/4.

3) the average rate of change of h(x) over the given interval is -3.

5 0
3 years ago
Use the functions a(x)=4x+9 and b(x)=3x-5 to complete the function operations listed below. Part a: find (a+b)(x) show your work
ddd [48]
Parts a and b are straight-forward. You add them in part a: 4x + 9 + 3x - 5 and you get 7x + 4. For part b, you are multiplying them (4x + 9)(3x - 5) by FOILing them: 12 x^{2} -20x+27x-45 which simplifies to 12 x^{2} +7x-45
The last one is a composite; you are told to find a of b of x.  The way you do that is to take your inside function and put that whole function into the other function every place you see an x, like this:
a(b(x))= 4(3x-5) + 9.  Now distribute the 4 into the parenthesis to get 12x - 20 + 9, which simplifies to 12x - 11.  And that's it!
5 0
4 years ago
How do u write 0.8 times 1 to the power of 2 our of scientific notation
vovangra [49]
6.4 *10^-1
6.4 times ten to the negative one, or divided by 10
7 0
3 years ago
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