Answer:
x+6.3
Step-by-step explanation:
x+6.3
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3. The area of a triangle can be given by (just plug and chug as always):
![A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20bh%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283%29%284%29%20%3D%206ft%5E2%20)
The area of the triangle is
6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
![A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20bh%20%3D%20%5Cfrac%7B1%7D%7B2%7D%288%29%283%29%20%3D%2012m%5E2)
![A_r = bh = 12(8) = 96m^2](https://tex.z-dn.net/?f=A_r%20%3D%20bh%20%3D%2012%288%29%20%3D%2096m%5E2)
Now we just add them:
![96+12 = 108m^2](https://tex.z-dn.net/?f=96%2B12%20%3D%20108m%5E2)
So, the area of that pentagon is
108m².
5. You are actually wrong on this one because the area of a triangle is:
![A_t = \frac{1}{2}bh](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7Dbh%20)
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
![A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2](https://tex.z-dn.net/?f=A_t%20%3D%20%5Cfrac%7B1%7D%7B2%7Dbh%20%3D%20%5Cfrac%7B1%7D%7B2%7D%282.5%29%285%29%20%3D%206.25cm%5E2%20)
Multiply by 4 to get total area:
![6.25*4 = 25cm^2](https://tex.z-dn.net/?f=6.25%2A4%20%3D%2025cm%5E2)
So, the area of the given rhombus is
25cm².
Answer: (-0.4, 6.8)
The graph is attached
Step-by-step explanation:
We can find the axis of symmetry using the formula x = -b/2a
x = - -4/2(-5)
x = 4/-10
x = 0.04
Substitute for x and calculate y
y = ![\left(0.4^{2}\right)\left(-5\right)-4\left(-0.4\right)\ +6](https://tex.z-dn.net/?f=%5Cleft%280.4%5E%7B2%7D%5Cright%29%5Cleft%28-5%5Cright%29-4%5Cleft%28-0.4%5Cright%29%5C%20%2B6)
y = 6.8
Answer:
$34.83
Step-by-step explanation:
First convert 3/4 to decimal form: 3/4 = 0.75
Create a proportion using similar rates:
$2.75 / 0.75 lb = x / 9.5 lb
where "x" represents the price of the 9.5 lbs of grapes we need to find.
Solve for x by multiplying both sides by 9.5 lb to isolate x completely
2.75 * 9.5 / 0.75 = x
Therefore x = $34.83
First, you know that she earned a total of 73 dollars for 6 hours of work and how 46 dollars was from tips. So what you do first is to subtract 46 from 73 leaving you 27. Since she worked 6 hours, you would have to divide that with 27. 27 divided by 6 is 4.5 The waitress earns $4.50 for her hourly wage.