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3 years ago

What is the arc length of a semicircle with a radius of 11?

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

Answer:

The arc length of the semicircle is: $11 \pi$ , which is approximately 34.5575

Step-by-step explanation:

Recall that the length of a circumference of radius R is given by:

$length = 2\,\pi \,R$

therefore, the arc length of a semicircle (half of the circle) would be given by half of the previous expression:

$length\,\,of \,\,semicircle= \pi\,R$

So, in our particular case of radius 11, the formula for the arc length of the semicircle becomes:

$length\,\,of \,\,semicircle= \pi\,R\\length\,\,of \,\,semicircle= 11 \pi\\length\,\,of \,\,semicircle= 34.5575$

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3 years ago

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property t

Tamiku [17]

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

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Here, the sample size is 18 and the population is 1500. Therefore,

$\frac{18}{1500} * 100 = 1.2$

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The correct option is C, because only I & III were satisfied.

4 0

3 years ago

Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati

Assoli18 [71]

Answer:

$\vec l = (-4, 11) + t\cdot (-3,8)$ , $x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

Step-by-step explanation:

The vector equation of the line is:

$\vec l = \vec P + t \cdot \vec A$

$\vec l = (-4, 11) + t\cdot (-3,8)$

The parametric equations of the line are:

$x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

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3 years ago

The circumference of a circular table top is 283.48 inches. Find the area of this table top. Use 3.14 for piπ

velikii [3]

$\pi \times r {}^{2} \\ 3.14 \times {283.48}^{2} =$

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I think something is wrong here

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3 years ago

Help please ASAP please

Pavel [41]

What is the question?

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3 years ago

Read 2 more answers