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Butoxors [25]
2 years ago
15

The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.

How many square feet of paint are needed to completely cover each pillar? (Do not include the bases.) A. about 100.5 ft2 B. about 1206 ft2 C. about 1608 ft2 D. about 3 ft2
Mathematics
1 answer:
GREYUIT [131]2 years ago
7 0

Answer:

  • <u>Option A. about 100.5ft²</u>

<u />

Explanation:

Since the <em>bases</em> must not be painted, their areas are <em>not included</em> in the calculation.

The <em>surface</em> to paint, of each pillar, is equal to the lateral area of a<em> cylinder </em>with he dimensions given.

The formula for the laeral area of a cylinder is:

        Lateral\text{ }area=2\pi \times radius \times height

Substitute including the conversion factor to convert inches to feet:

        Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2

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Why might the triangulation method not always produce an exact point (other than any measurement errors)
Rufina [12.5K]

Answer:

The triangulation method might not always produce an exact point (other than any measurement errors) because:

The method uses different data sources, researchers, and theories or perspectives.

Step-by-step explanation:

Research Triangulation uses multiple methods, data sources, different investigators, and varied theories for the purpose of developing a more comprehensive understanding of the underlying situations.  Triangulation validates the qualitative research by obtaining information from different sources, investigators, viewpoints, or methods.

3 0
2 years ago
The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that austin has in his
pickupchik [31]
5q + 2d = 270
The intercepts can be calculated by first putting d equal to 0 and then q equal to 0. These will be:
5q = 270
q = 54; (0 , 54)
2d = 270
d = 135; (135, 0)
The equation represents the total number of coins in the piggy bank and (0 , 54) shows the number of quarters in the piggy bank when there are no dimes and (0 , 135) shows the number of dimes when there are no quarters.
3 0
2 years ago
Read 2 more answers
Jay is letting her bread dough rise. After three hours, her bread dough is \dfrac{11}{5} 5 11 ​ start fraction, 11, divided by,
timama [110]

Answer:

Jay's bread size is 220% of the original size.

Step-by-step explanation:

The question is incomplete.

The complete question is as follows.

Jay is letting her bread rise. After 3 hours,her bread is at 11/5 of its original size. What percent of its original size is jays bread dough?

Solution:

Let the original bread size be = 100 units

After 3 hours the bread rises = \frac{11}{5} of the original size

New size of bread =  \frac{11}{5}\times 100=220 units

Percent of original size the new bread is

⇒ \frac{New\ bread\ size}{Original\ bread\ size}\times 100

⇒ \frac{220}{100}\times100

⇒ 220\%

6 0
2 years ago
2 triangles have identical side lengths and angle measures. The second triangle is rotated slightly to the left. Which statement
aleksklad [387]

Answer:

It is rigid because all side lengths and angles are congruent.

Step-by-step explanation:

2 triangles have identical side lengths and angle measures. The second triangle is rotated slightly to the left. It is a rigid motion.

Definition of rigid motion : -

The performance of any combination of the following actions, namely - translation, rotation or/ and reflection keeping the size and shape of a geometric body constant  is called performing 'Rigid motion'.

5 0
2 years ago
Read 2 more answers
Suppose that on a certain examination in advanced mathematics, students from univer sity A achieve scores that are normally dist
harkovskaia [24]

Answer:

P(z>-1.768)=1-P(z

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 scores for the univerisity A, and we know that:

X \sim N (\mu = 625,\sigma =\sqrt{100}= 10)

Let Y the scores for the univerisity B, and we know that:

Y \sim N (\mu = 600,\sigma =\sqrt{150}= 12.25)

We select a sample size of size n=2, and since the distirbution for X is normal then the distribution for the sample mean would be given by:

\bar X \sim N(\mu=625, \frac{\sigma}{\sqrt{n}}=\frac{10}{\sqrt{2}}=7.07)

And for the univeristy B we select a sample of n=3

\bar Y \sim N(\mu=600, \frac{\sigma}{\sqrt{n}}=\frac{12.25}{\sqrt{3}}=7.07)

Since both sample means are normally distributed then the difference Z= \bar X- \bar Y is also normal distributed with the following parameters:

Z= \bar X -\bar Y \sim N(\mu_Z=625-600=25, \sigma_z= \sqrt{100+100}=14.14)

And we want this probability:

P(Z>0)

And we can use the z score given by:

Z= \frac{z -\mu_z}{\sigma_z}

And if we replace we got :

Z= \frac{0-25}{14.14}=-1.768

And if we find the probability using the normla standard table or excel we got:

P(z>1.768) =1-P(Z

3 0
2 years ago
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