Answer:
13. 9.77 inches (rounded to 3 s.f.)
14. 249m² (rounded to 3 s.f.)
Step-by-step explanation:
13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2
× pi × 7 × 2 = 3
pi
= 9.77 inches (rounded to 3 s.f.)
14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r
× pi × 10 × 10 = 79
pi
= 249m² (rounded to 3 s.f.)
Answer:
![y-2=\displaystyle -\frac{3}{4}(x-1)](https://tex.z-dn.net/?f=y-2%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29)
OR
![y=\displaystyle -\frac{3}{4}x+\frac{11}{4}](https://tex.z-dn.net/?f=y%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B11%7D%7B4%7D)
Step-by-step explanation:
Hi there!
Point-slope form:
where <em>m</em> is the slope of the line and
is a given point
Given that the slope is -3/4, we can plug it into
as <em>m</em>:
![y-y_1=\displaystyle -\frac{3}{4}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-x_1%29)
We can also plug in the given point (1,2):
![y-2=\displaystyle -\frac{3}{4}(x-1)](https://tex.z-dn.net/?f=y-2%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29)
Slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
To write the equation in slope-intercept form, isolate <em>y</em>:
![y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}](https://tex.z-dn.net/?f=y-2%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29%5C%5C%5C%5Cy%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7D%28x-1%29%2B2%5C%5C%5C%5Cy%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B3%7D%7B4%7D%2B2%5C%5C%5C%5Cy%3D%5Cdisplaystyle%20-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B11%7D%7B4%7D)
I hope this helps!
Answer:
no it would equal ANE
Step-by-step explanation:
Answer:
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