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sdas [7]
2 years ago
11

Explain how the diagram can help find the area of a circle

Mathematics
1 answer:
anastassius [24]2 years ago
3 0

Answer:

Step-by-step explanation:

This is a really famous diagram!  The circle has been divided into many wedges (think slices of pizza!).  The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them.  See how the bottom and top edges of the rectangle look bumpy?

The area of the "rectangle" is approximately \pi r^2 .  The reason is that the height of the rectangle is  <em>r</em> , the radius of the circle.  And the length of the rectangle is about \pi r -- half the circumference of the circle.  It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.

The approximation improves as the number of wedges increases.  In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference.  In other words, making more wedges makes the rectangle less bumpy!

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I need to know question 8 I’m confused
marissa [1.9K]

Remark

Let the pigs = p

Let the chickens = c

Givens

30 heads is another way of saying that there were 30 creatures in the barnyard. In addition each chicken has 2 legs and each pig has 4

c + p = 30

2C + 4P = 100       (2) Divide (2) by 2

C + 2P = 50           (3)  Subtract (1) from (3)

<u>C + P    = 30</u>

       P  = 20

So there were 20 pigs.

3 0
2 years ago
I am stuck on this zearn lesson someone pls help
Mashcka [7]
The answer is 2/1, I think. :)
7 0
2 years ago
Read 2 more answers
In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colle
m_a_m_a [10]

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

p' = \frac{X}{n} = \frac{210}{800} = 0.2625

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

-Z_0.05 = -1.645

The critical value = -1.645

c) Calculating the test statistic, we have:

Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}

Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

5 0
3 years ago
How are percent transmittance and absorbance related algebraically?
statuscvo [17]

Answer:

So, if all the light passes through a solution without any absorption, then absorbance is zero, and percent transmittance is 100%. If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

Absorbance is the inverse of transmittance so,

A = 1/T

Beer's law (sometimes called the Beer-Lambert law) states that the absorbance is proportional to the path length, b, through the sample and the concentration of the absorbing species, c:  


A ∝ b · c

As Transmittance, T =\dfrac{P}{P_0}

% Transmittance, \%T=100\times T

Absorbance,

A=\log_{10} \dfrac{P_0}{P}\\\\A =\log_{10}\times \dfrac{1}{T}\\\\A=\dfrac{\log_{10} 100}{\%T}\\\\A=(2 - log_{10})\times \%T

Hence, A=\log_{10}\times \dfrac{1}{T} is the algebraic relation between absorbance and transmittance.


8 0
2 years ago
-p(51+z)=dz+84 <br>how do i solve for z​
deff fn [24]

Answer:

Z=53p/d-84/d

Step-by-step explanation:

hope it help's

6 0
3 years ago
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