Answer:
The number 32 is part of the solution set
The circle on the graph is closed
The arrow on the graph points to the left
Step-by-step explanation:
The number 32 is part of the solution because it said that water freezes at 32 degrees when it is at or below 32
The circle on the graph is closed because 32 is part of the answer , when the solution is showed then the circle is closed.
Last but not least the arrow on the graph points left because water freezes when it is at 32 or below 32 degrees, so when it points left the numbers become lower.
Hope this helped! :)
If Sachiko lets x represent the length of the side of the square and she wants to find the length of the perimeter of the square, it is appropriate for her to ...
... B. Set the area equal to x², solve for x, and then multiply the value of x by 4.
_____
The area of a square of side length x is x·x = x². The perimeter of a square of side length x is x+x+x+x = 4·x.
Ah...Trigonometry is fun!
The law of sines states:
![\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7BsinA%7D%7Ba%7D%3D%20%5Cfrac%7BsinB%7D%7Bb%7D%20%3D%20%5Cfrac%7BsinC%7D%7Bc%7D%20)
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that
![\frac{sinA}{a}=\frac{sinC}{c}](https://tex.z-dn.net/?f=%5Cfrac%7BsinA%7D%7Ba%7D%3D%5Cfrac%7BsinC%7D%7Bc%7D%20)
We then plug in our given values to find C
![\frac{sin24}{77}=\frac{sinC}{162}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin24%7D%7B77%7D%3D%5Cfrac%7BsinC%7D%7B162%7D%20)
![\frac{162*sin24}{77}=sinC](https://tex.z-dn.net/?f=%5Cfrac%7B162%2Asin24%7D%7B77%7D%3DsinC)
Solving, we get 0.8557316387.
We're not done yet!We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).
arcsin0.8557316387 (arcsin is the same as inverse sin)
=
58.8 (approximate)
So the measure of angle C is 58.8. You could check this by reinserting it into the equation
![\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7BsinA%7D%7Ba%7D%3D%20%5Cfrac%7BsinB%7D%7Bb%7D%20%3D%20%5Cfrac%7BsinC%7D%7Bc%7D%20)
.
:)
Answer:
C) x = 12
Step-by-step explanation:
We can calculate the value of x using similarity ratio
x/8 = 9/6 cross multiply expressions
6x = 72 divide both sides by 6
x = 12
The answer is 16in.
Let the radius and height of cylinder A be Ra and Hb respectively and the radius and height of cylinder B be Rb and Hb respectively.
Using similar shapes:
Ra/Ha= Rb/Hb
5.6/Ha=1.4/4
Ha=(4×5.6)/1.4
Ha=22.4/1.4
Ha=16in