Answer:
The area of the riders field of view is 987.5 square yards.
Step-by-step explanation:
The human has a 180° arc view. If the rider can see only 25 yards, the area of the riders field of view is a semi-circle (180° arc) of 25 yards of radius.
The semi-circle of 25 yards of radius has an area of:
![S=\dfrac{1}{2}\pi r^2=\dfrac{1}{2}\cdot3.16\cdot (25)^2=\dfrac{1}{2}\cdot3.16\cdot625=987.5](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7B1%7D%7B2%7D%5Cpi%20r%5E2%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot3.16%5Ccdot%20%2825%29%5E2%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot3.16%5Ccdot625%3D987.5)
The area of the riders field of view is 987.5 square yards.
Answer:
x = - 7
Step-by-step explanation:
Given
4(1 - x) + 2x = - 3(x + 1) ← distribute parenthesis on both sides
4 - 4x + 2x = - 3x - 3, that is
4 - 2x = - 3x - 3 ( add 3x to both sides )
4 + x = - 3 ( subtract 4 from both sides )
x = - 7
the answer is c it is circled for you already
Answer: ![SA=2,564\ cm^2](https://tex.z-dn.net/?f=SA%3D2%2C564%5C%20cm%5E2)
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
Where "l" is the length and "w" is the width.
The area of a triangle can be found using the following formula:
![A=\frac{bh}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bbh%7D%7B2%7D)
Where "b" is the base of the triangle and "h" is the height.
You can observe that the figure is formed by three different rectangles, Using the formulas, you ge that the area of each rectangle is:
![A_1=(10\ cm)(36\ cm)=360\ cm^2\\\\A_2=(36\ cm)(26\ cm)=936\ cm^2\\\\A_3=(36\ cm)(28\ cm)=360\ cm^2=1,008\ cm^2](https://tex.z-dn.net/?f=A_1%3D%2810%5C%20cm%29%2836%5C%20cm%29%3D360%5C%20cm%5E2%5C%5C%5C%5CA_2%3D%2836%5C%20cm%29%2826%5C%20cm%29%3D936%5C%20cm%5E2%5C%5C%5C%5CA_3%3D%2836%5C%20cm%29%2828%5C%20cm%29%3D360%5C%20cm%5E2%3D1%2C008%5C%20cm%5E2)
The triangles are equal, then, using the formula shown above, you get that the area of each of them is:
![A_4=A_5=\frac{(26\ cm)(10\ cm)}{2}=130\ cm^2](https://tex.z-dn.net/?f=A_4%3DA_5%3D%5Cfrac%7B%2826%5C%20cm%29%2810%5C%20cm%29%7D%7B2%7D%3D130%5C%20cm%5E2)
Adding all the areas, you get that the surface area of the figure is:
![SA=360\ cm^2+936\ cm^2+1,008\ cm^2+2(130\ cm^2)\\\\SA=2,564\ cm^2](https://tex.z-dn.net/?f=SA%3D360%5C%20cm%5E2%2B936%5C%20cm%5E2%2B1%2C008%5C%20cm%5E2%2B2%28130%5C%20cm%5E2%29%5C%5C%5C%5CSA%3D2%2C564%5C%20cm%5E2)
Answer:
y = -1/2x - 8
Step-by-step explanation:
y = mx + b
y = -1/2x - 8