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3 years ago

What is the best approximation for the perimeter of a semicircle with a diameter of 12 cm?

Mathematics

2 answers:

maw [93]3 years ago

6 0

When we speak of the word "perimeter" of a circle, we mean to say the circumference. Since we are only given a semicircle, the perimeter would be,
perimeter = (pi)(radius) + diameter
Substituting the known values,
perimeter = (3.14)(6 cm) + 12 cm
The value of the perimeter is,
perimeter = 30.84 cm

Fittoniya [83]3 years ago

3 0

Answer:

just confirming that the answer is 30.84.

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A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea

Lelu [443]

Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)

Step-by-step explanation:

Let p = population proportion of adults in the U.S. who have donated blood in the past two years.

Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

Sample size: n= 2322

Sample proportion $q=\dfrac{408}{2322}=0.176$

Critical z-value for 90% confidence level : z*=1.645

The confidence interval for population proportion:

$q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})$

A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:

$0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)$

Hence,

6 0

3 years ago

Jamal simplified ...

brilliants [131]

$\bf \sqrt{75x^5y^8}\qquad 
\begin{cases}
75=3\cdot 25\\
\qquad 3\cdot 5^2\\
x^5=x^{4+1}\\
\qquad x^4x^1\\
\qquad (x^2)^2x\\
y^8=y^{4\cdot 2}\\
\qquad (y^4)^2
\end{cases}\implies \sqrt{3\cdot 5^2\cdot (x^2)^2x(y^4)^2}
\\\\\\
5x^2y^4\sqrt{3x}$

4 0

3 years ago

The slope of a line is -4 and Y negative intercept is -3 what is the equation of the line written in slope intercept form

lord [1]

Answer:

y = mx + c

m = -4

at y intercept x = 0

(x,y) =(0,-3)

-3 = -4(0) + c

c = -3

therefore the answer is y = -4x + c

8 0

3 years ago

Identify the factors of x2 + 16y2.

BabaBlast [244]

The way to find the factores is by seeking the polonomial's roots, or zeros!

To find the roots, we set the polinomial equation to zero:

x^2+16y^2=0

Then we solve this equation:

x^2=-16y^2

This is only true, if x=y=0.

3 0

3 years ago

Read 2 more answers

The sum of an infinite geometric series is 1,280, while the first term of the series is 160. What is the common ratio of the ser

Arlecino [84]

The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.

7 0

3 years ago