Answer:
9*√3
Step-by-step explanation:
The exact value of Sin60 = √3/2
Sin(60) = opposite side/ hypotenuse
hypotenuse = 18
√3/2 = x / hypotenuse
√3 / 2 = x / 18 multiply by 18
18 √3 /2 = x divide by 2
9 √3 = x
Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
I=prt,,5.00=.0125*1212p,,p=5.00/.0125*1212=?? Use the calculator
Answer: The second option and the third option are true.
Step-by-step explanation:
The formula of the line in slope-intercept form is:
Where <em>m </em>is the slope and <em>b </em>is the y-intercept.
By definition, the y-intercept in a direct variation is 0.
Therefore, substituting 
and 
into the equation, you obtain:
Then, the equation is:
As this is a line, it is a linear function.
Therefore, the second option and the third option are true.
Answer:
1. For a cube, volume = 
2. ![\sqrt[3]{volume}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bvolume%7D)
= edge
3. Volume of the cube = 216 so, the edge = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
4. 1st blank = 6
2nd blank = 6
3rd blank = 216
4th blank = 216
5. 6 is the edge
6. As the room is a square and we have to find the side
Area = 121
Edge = ![\sqrt[2]{121}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B121%7D)
= 11
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