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Slav-nsk [51]
3 years ago
7

Two rectangular pyramids are similar. The smaller pyramid has a volume of 12 cubic feet, and

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0

Volume of Big Pyramid= 324 cubic feet

Volume of small pyramid= 12

Volume of a pyramid is given as V=⅓xBasexheight

For the big pyramid

324=⅓xbasexheight

But 324= 27x12

Then for the big pyramid,

12=1/3x1/27xbasexheight

For the small pyramid

12=1/3xbasex6

Since both base are similar and from the equations derived so far

1/3x1/27xheight=1/3x6

Height=27x3x1/3x6=162feet

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What is the value of 2 1/5 +3 4/5=
navik [9.2K]

Answer:

6

Step-by-step explanation:

I like to line up my addition problems vertically

2  1/5

+ 3 4/5

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5 5/5

but 5/5 = 1

5 + 1

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5 0
3 years ago
The figure shows a construction completed by hand.
Tresset [83]

Based on the construction, we can logically deduce that: A. yes; the compass was kept at the same width to create the arcs for points C and D.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In Geometry, a line segment can be measured by using the following measuring instruments:

  • A scale (ruler)
  • A divider
  • A compass

<h3>What is an arc?</h3>

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

Based on the construction with arcs created above and below the line segment from points A, we can infer and logically deduce that it is true that the compass was kept at the same width to create the arcs for points C and D.

In conclusion, yes, the construction demonstrated how to bisect a line segment correctly by hand.

Read more on arcs here: brainly.com/question/11126174

#SPJ1

Complete Question:

The construction has a given segment AB. Arcs have been created above and below the segment from points A that are equidistant from point A. The compass was kept at the same distance, placed on point B, and two additional arcs were created above and below the segment that intersect with the first arcs created. The intersection of the arcs above the segment created point C. The intersection of the arcs below the segment created point D. A line was drawn from point C to D through the segment.

Does the construction demonstrate how to bisect a segment correctly by hand?

A. Yes; the compass was kept at the same width to create the arcs for points C and D.

B. Yes; a straightedge was used to create segment CD.

C. No; the compass was not kept at the same width to create the arcs for points C and D.

D. No; a straightedge was used to create segment CD.

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2 years ago
4=(1/2)^× solve for x
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Is the confidence interval affected by the fact that the data appear to be from a population that is not normally​ distributed?
sp2606 [1]

Answer:

D. No, because the sample size is large enough.

Step-by-step explanation:

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

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".

If the sample size is higher than 30, on this case the answer would be:

D. No, because the sample size is large enough.

And the reason is given by The Central Limit Theorem since states if the individual distribution is normal then the sampling distribution for the sample mean is also normal.

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

If the sample size it's not large enough n<30, on that case the distribution would be not normal.

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3 years ago
A block of gold has a mass of 9,660 kilograms has a volume of 0.5 cubic meters. What is the density of gold
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