Step-by-step explanation:
The question is wrong. The correct equation is :
![C=\frac{5}{9}F-\frac{160}{9}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7DF-%5Cfrac%7B160%7D%7B9%7D)
We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.
Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.
So for the incise (a) we answer Yes, C is a function of F.
For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.
Dom (C) = ( - ∞ , + ∞)
For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.
Therefore the range will be
Rang (C) = (0,100)
Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :
For C = 0 :
⇒ ![F=32](https://tex.z-dn.net/?f=F%3D32)
And for C = 100 :
⇒ ![F=212](https://tex.z-dn.net/?f=F%3D212)
Therefore, the domain as relating temperatures of water in its liquid state is
Dom (C) = (32,212)
For (d) we only need to replace in the equation by
and find the value of C ⇒
⇒
![C=(\frac{5}{9})(71)-\frac{160}{9}](https://tex.z-dn.net/?f=C%3D%28%5Cfrac%7B5%7D%7B9%7D%29%2871%29-%5Cfrac%7B160%7D%7B9%7D)
≅ 21.67
C(71) = 21.67 °C
Answer:
Ice Cube, Liquid Water, and Steam
Step-by-step explanation:
An example of a solid is a ice cube, the particles are compacted together and there's very little movement.
An example of a liquid is water, the particles are more spread around and the movement is more frequent.
An example of a gas is steam, the particles are anywhere, moving fast and sporadic.
Answer:
A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other.
The correct answer for the question that is being presented above is this one: "The reason for the difference can not be determined with the information that is given." Looking at the scatter plot of pages versus amazon price, it appears that the data might be clustered around two separate regression lines. The cause of the split in the data is that <span> the difference can not be determined with the information that is given</span>
Lets get started :)
The First question:
Diameter = 20 ft
Radius =
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
of 20 (diameter) = 20 ft
Area formula of a circle is
A =
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r²
=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(10)²
=100
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
ft²
≈ 314 ft²The answer will be the second optionThe Second question:
radius of circle = 12mm divided into 20 sectors area
A =
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r²
=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(12)²
= 144
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
ft²
Divide into 20 equal sector areas =
≈ 22.6 mm²Your answer will be the third optionThe Third Question:
90°, sector area = 36
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
, Radius = ?
![\frac{angle}{360} = \frac{sector}{ \pi (r)^2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bangle%7D%7B360%7D%20%3D%20%5Cfrac%7Bsector%7D%7B%20%5Cpi%20%28r%29%5E2%7D%20)
![\frac{90}{360} = \frac{36 \pi }{ \pi r^2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B90%7D%7B360%7D%20%3D%20%5Cfrac%7B36%20%5Cpi%20%7D%7B%20%5Cpi%20r%5E2%7D%20)
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
and
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
cancels out
We can now cross multiply
360 × 36 = 90r²
12960 = 90r²
Divide by 90 on either side
![\frac{12960}{90} = \frac{90r^2}{90}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12960%7D%7B90%7D%20%3D%20%5Cfrac%7B90r%5E2%7D%7B90%7D%20)
144 = r²
Take squareroot
x = 12 inYour answer will be the third option