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3 years ago

I need help on finding the height of a triangular pyramid

Mathematics

1 answer:

Mashcka [7]3 years ago

7 0

Answer:

20 in

Step-by-step explanation:

The formula for the volume of a triangular pyramid is V=1/3 x B x H, in which B is the area of the base and H is the height. You're given the volume and area of the base so you can just plug that into the formula. You will get 120 = 1/3 x 18 x H. You can multiply the 1/3 and 18 so you will get 120 = 6H. In this case, you are solving for H so you need to isolate the variable. You can do this by dividing both sides by 6. You will end up eith 20 = H.

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What is the median of this set of data? 1,2,5,6,9

nexus9112 [7]

Answer: 5

Step-by-step explanation:

The median is the middle number in the set.

{1, 2, 5, 6, 9} - there are five numbers.

The middle number is the 3rd one.

{1, 2, 5, 6, 9}

The median is 5.

8 0

2 years ago

A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the f

Kipish [7]

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

5 0

3 years ago

The number of fruit flies in a population doubles everyday. Everett collected 6 fruit flies for an experiment. After a certain n

Mandarinka [93]

Answer: So, our required linear equation will be

$6\times 2^{x-1}=48$

Explanation:

Since we have given that

the number of fruit flies = 6

According to question, we have that the number of fruit flies in a population doubles everyday,

it becomes geometric progression, as it rises with common ratio, i.e.

$6,12,24.......$

Let the number of days be x

so, our required equation becomes ,

$ar^{x-1}=48\\\\6\times 2^{x-1}=48\\\\2^{x-1}=\frac{48}{6}\\\\2^{x-1}=8\\\\2^{x-1}=2^3\\\\x-1=3\\\\x=4$

So, our required equation will be

$6\times 2^{x-1}=48$

7 0

3 years ago

What is X if line a and b are parallel

uranmaximum [27]

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ldentify the domain and range of each function.

sattari [20]

Answer:

The domain of this function is:

C.) Negative infinity to infinity

The range of this function is:

A.) 0 to infinity

Y=4^x-5+3

The domain of this function is:

C.) Negative infinity to infinity

The range of this function is:

B.) 3 to infinity

Answer:

Domain : R

Range : R

Step-by-step explanation:

The given function is or it can be written as y = 15x.

So, the function is valid for all real values of x and we will get the real value of y for each real value od x.

Hence, all the real numbers or R is the domain of the function.

And all the real numbers or R is the range of the given function. (Answer)

4 0

3 years ago

Read 2 more answers