Answer:
4.67 ft
Step-by-step explanation:
An arc is simply a portion of the circumference of a circle.
To find the length of an arc, we simply need to apply the formula:
![L = \frac{\alpha }{360} * 2\pi r](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B%5Calpha%20%7D%7B360%7D%20%20%2A%202%5Cpi%20r)
where α = angle subtended by the arc =
rads =
degrees = 38.2°
r = radius of the circle = 7 ft
Hence, the length of the arc is:
![L = \frac{38.2}{360} * 2*\pi *7](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B38.2%7D%7B360%7D%20%20%2A%202%2A%5Cpi%20%2A7)
![L = 4.67 ft](https://tex.z-dn.net/?f=L%20%3D%204.67%20ft)
The length of the arc is 4.67 ft
I am sure that the answer is 38.35
Answer:
14 miles.
Step-by-step explanation:
The First street, the Main street, and the Oak street forms a right triangle and the angle between the First street and the Oak street is x such that, tan x = 7/5. {Given}
The distance from the intersection point of the First street and the Main street to Oak street along the First street is 10 miles and we have to calculate the distance (d) of Oak street from the same intersection point along the Main street.
Now, using trigonometry on the above mentioned right triangle
![\tan x = \frac{7}{5} = \frac{d}{10}](https://tex.z-dn.net/?f=%5Ctan%20x%20%3D%20%5Cfrac%7B7%7D%7B5%7D%20%3D%20%5Cfrac%7Bd%7D%7B10%7D)
⇒ d = 14 miles. (Answer)
1=63
3=163
4=325
I hope this answered your question
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15