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NNADVOKAT [17]
2 years ago
13

{2}x + 9" alt="y = - \frac{1}{2}x + 9" align="absmiddle" class="latex-formula">
please help me :(.​
Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0
X= -2y +18
y= -x/2+9
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Semicircles
Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is 9.1\ cm^2

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

A=b^2

where

b is the length side of the square

we have

b=4\ cm

substitute

A=4^2=16\ cm^2

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

A=\pi r^{2}

The diameter of the circle is equal to the length side of the square

so

r=\frac{b}{2}=\frac{4}{2}=2\ cm ---> radius is half the diameter

substitute

A=\pi (2)^{2}

A=4\pi\ cm^2

Therefore, the area of 2 "not-shaded" regions is:

A=(16-4\pi) \ cm^2

and the area of 4 "not-shaded" regions is:

A=2(16-4\pi)=(32-8\pi)\ cm^2

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

so

A=16-(32-8\pi)=(8\pi-16)\ cm^2  

---> exact value

assume

\pi =3.14

substitute

A=(8(3.14)-16)=9.1\ cm^2

8 0
3 years ago
4d. Health Survey. In a survey of 1020 adults in the United States, 44% said that they wash their hands after riding public tran
AleksandrR [38]

Answer:

Discrete. See explanation below

Step-by-step explanation:

We need to remember some previous concepts:

We have two types of numerical data: Discrete and Continuous

When we say Discrete data we are refering to data that is countable or can be expressed with integers in a domain.

In the other case when we talk about continuous data we are refering to data that is continuous in a specified domain, it can contain decimals or rational numbers in the Real numbers for example.

For this special case we know that they select a sample size of n=1020 and the sample proportion of people in the United States who wash their hands after riding public transportation was 0.44 or 44% in percentage.

\hat p = \frac{X}{1020}=0.44

X=0.44*1020=448.8 \approx 449

But the number of subjects on this survey needs to be Discrete, since the possible values are 0,1,2,3,4,.....,n and never we have decimals or continuous data in order to express this.  

3 0
2 years ago
If you have a 2% pay rise on £7 an hour, how much will you get paid an hour?
lidiya [134]
First you need to multiple 7X0.02 and then add that number to 7
8 0
3 years ago
I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?
Contact [7]

Answer:

105.4º

Step-by-step explanation:

supplementary angles total 180º

180 - 74.6 = 105.4º

8 0
2 years ago
Which equation demonstrates the additive inverse property?Select one of the options below as your answer:
Naddik [55]
<span>D. r + (-r) = 0
</span>
The additive inverse<span> of a number a is the number that, when added to a, yields zero. This number is also known as the opposite.</span>
5 0
3 years ago
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