Set up an equation 5x+6x+7x=40 and solve for x
Answer:
580.75
Step-by-step explanation: 11.50 * 40 =460
11.50 * 1.5 =`17.25*7= 120.75
120.75+460=580.75
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Find Length of the square :
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Given that the area of the square is 32 cm²:
Area = Length²
![\text {Length =} \sqrt{32}](https://tex.z-dn.net/?f=%5Ctext%20%7BLength%20%3D%7D%20%20%5Csqrt%7B32%7D%20)
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Find Radius :
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Using Pythagorus Theorem to find the radius of the circle:
a² + b² = c²
![( \sqrt{32})^2 + (\frac{ \sqrt{32} }{2} )^2 = ( \text {radius} )^2](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B32%7D%29%5E2%20%2B%20%28%5Cfrac%7B%20%5Csqrt%7B32%7D%20%7D%7B2%7D%20%29%5E2%20%3D%20%28%20%5Ctext%20%7Bradius%7D%20%29%5E2)
![(\text {radius} )^2 = 32 + \dfrac{32}{4}](https://tex.z-dn.net/?f=%28%5Ctext%20%7Bradius%7D%20%29%5E2%20%3D%2032%20%2B%20%5Cdfrac%7B32%7D%7B4%7D%20)
![(\text {radius} )^2 = 40](https://tex.z-dn.net/?f=%28%5Ctext%20%7Bradius%7D%20%29%5E2%20%3D%2040)
![\text { Radius = } \sqrt{ 40 }](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Radius%20%3D%20%7D%20%20%5Csqrt%7B%2040%20%7D%20)
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Find Area of the semi-circle :
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![\text {Area of the semi-circle = } \dfrac{1}{2} \pi r^2](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%20of%20the%20semi-circle%20%3D%20%7D%20%20%20%5Cdfrac%7B1%7D%7B2%7D%20%5Cpi%20r%5E2)
![\text {Area of the semi-circle = } \dfrac{1}{2} \pi ( \sqrt{40}) ^2](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%20of%20the%20semi-circle%20%3D%20%7D%20%5Cdfrac%7B1%7D%7B2%7D%20%5Cpi%20%28%20%5Csqrt%7B40%7D%29%20%5E2)
![\text {Area of the semi-circle = } 20 \pi](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%20of%20the%20semi-circle%20%3D%20%7D%2020%20%5Cpi%20)
9514 1404 393
Answer:
y = 4/3x -7
Step-by-step explanation:
The marked points differ in their y-values by +4, and their x-values by 3. The slope of the line is ...
m = rise/run = 4/3
There is a marked point on the y-axis at y = -7. This is the y-intercept. Then the desired equation is ...
y = mx +b . . . . . line with slope m and y-intercept b
y = 4/3x -7
A dot plot is showing how many numbers are the same and a frequency chart shows the same thing just without dots.