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kakasveta [241]
3 years ago
14

A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches long

.
Compute the volume of the triangular pyramid if the height is 14 inches.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0
The formula for a triangular pyramid is 1/3AH. A is the area of the base. H is the height of the pyramid. So to find the area of a right triangle, you would use the formula (a x b)/2. So (10 x18)/2 is 90 inches^2. Now you can fill in the first formula. 1/3(90 x 14), which equals 420 inches^3. I hope you find this helpful (if correct.)
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An observational study found that the amount of sleep an employee gets each night is associated with job performance. The correl
blagie [28]

Answer:

The correct option is D.) Causation cannot be determined from an observational study.

Step-by-step explanation:

The conclusion is not correct because

D.) Causation cannot be determined from an observational study.

Causation determined from an observational study is speculative and cannot be confirmed without data from a real experiment.

6 0
3 years ago
Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x
zvonat [6]

The general formula for exponential growth and decays is:

y=y_0e^{kx}

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0
1 year ago
A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $3 for children. The total co
dmitriy555 [2]

Answer:

There are 6 adults. <em>My mistake! I had the wrong equation. 3 + 9a = 57.</em>

Step-by-step explanation:

  • <u>There is only 1 child in the group.</u>
  • Cost for children is 3$.
  • <u>The cost for adults is 9$.</u>
  • 9 * 6 = 54
  • 3 * 1 = 3
  • 3 + 9a = 57
  • Simplify:
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8 0
2 years ago
Read 2 more answers
The radius of a circle is 2 centimeters. What is the circles circumference?
Salsk061 [2.6K]

Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for <em>r</em> in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

approximately equal to 12.56 cm.

5 0
3 years ago
What is 0.02% of 40 million pounds?
DanielleElmas [232]
0.02% of 40 million pounds is 8000 (pounds)

5 0
2 years ago
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