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Oksana_A [137]
3 years ago
8

If the volume of the pyramid shown is , what is the area of its base?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0

Answer:36 square inches

Step-by-step explanation:

Svet_ta [14]3 years ago
8 0

Answer:

36

Step-by-step explanation:

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Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati
Helen [10]

Step 1.

Calculate measure of angle α:

47^o-38^o=9^o

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

\dfrac{9^o}{360^o}=\dfrac{1}{40}

Step 3.

Calculate the circumference of the Earth (circle):

C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi

Step 4.

The length of arc is equal 1/40 of the circumference:

\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi

\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi


<h3>Answer: A) 628 miles</h3>

7 0
3 years ago
The question is in the pic
Len [333]

Answer:

reflection on the y axis

Step-by-step explanation:

it flips from side to side

4 0
3 years ago
An archer has a mean distance of 1.6 inches and a MAD distance of 1.3 inches in the first round. In the second round, the archer
schepotkina [342]
I think it’s 1.5 cause it shows it
7 0
3 years ago
In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near
Basile [38]

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

8 0
3 years ago
The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.84   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

3 0
3 years ago
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