See the attached picture:
To find the x intercept of this line, we simply need to set y equal to 0 and solve for x.
8x = 4
Divide both sides by 8.
x = 1/2
<h3><u>The x-intercept of this line is equal to 0.5, or 1/2.</u></h3>
Answer:
Circumference: C = 7.5π m. This is approximately 23.56 m
Total fencing cost: $215.76
Step-by-step explanation:
Ashton walks along the diameter of the garden, which is 7.5 m.
The circumference formula C = πd yields C = 7.5π m. This is approximately 23.56 m, which we must round up to 24 m, and which calls for 24 - 1 m pieces at $8.99 each.
The desired fencing would cost (24 m)($8.99/m), or $215.76
Answer:
no
Step-by-step explanation:
a natural number has to be a whole number
Step 1.
Calculate measure of angle α:
![47^o-38^o=9^o](https://tex.z-dn.net/?f=47%5Eo-38%5Eo%3D9%5Eo)
Step 2.
Calculate what fraction of the angle 360° is the angle α:
![\dfrac{9^o}{360^o}=\dfrac{1}{40}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Eo%7D%7B360%5Eo%7D%3D%5Cdfrac%7B1%7D%7B40%7D)
Step 3.
Calculate the circumference of the Earth (circle):
![C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%5Cto%20C%3D2%5Cpi%5Ccdot4000%3D8000%5Cpi%5C%20mi)
Step 4.
The length of arc is equal 1/40 of the circumference:
![\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B40%7DC%3D%5Cdfrac%7B1%7D%7B40%7D%5Ccdot8000%5Cpi%3D200%5Cpi%5C%20mi)
![\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi](https://tex.z-dn.net/?f=%5Cpi%5Capprox3.14%5Cto%5Cdfrac%7B1%7D%7B40%7DC%5Capprox200%5Ccdot3.14%3D628%5C%20mi)
<h3>Answer: A) 628 miles</h3>