Answer:
Miguel: d = 23t + 10
Gabby: d = 28t
Step-by-step explanation:
We can write the equation for each case in slope-intercept form, d = mt + b
Where,
d = total distance
t = time
m (rate) = distance/hr
b = initial value
✔️ Miguel:
m = 23 km/hr
b = 10 mile
Equation: subtitle the values into d = mt + b
d = 23t + 10
✔️ Gabby:
m = 28 km/hr
b = 0 mile
Equation: subtitle the values into d = mt + b
d = 28t + 0
d = 28t
Answer:
happy birthday
Step-by-step explanation:
thank you
We have been given that Circle C has diameter AE with a length of 2 cm, and a central angle with the measure
. We are asked to find the length of arc DE.
We will use arc length formula to solve our given problem.
, where,
= Arc length,
= Central angle in degrees.
r = radius of circle.
Since AE is diameter, so radius will be half of AE.
![r=\frac{2\text{ cm}}{2}=1\text{ cm}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B2%5Ctext%7B%20cm%7D%7D%7B2%7D%3D1%5Ctext%7B%20cm%7D)
![l=\frac{40}{180}\times 3.14 \times (1\text{ cm})](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B40%7D%7B180%7D%5Ctimes%203.14%20%5Ctimes%20%281%5Ctext%7B%20cm%7D%29)
![l=\frac{2}{9}\times 3.14 \times (1\text{ cm})](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B2%7D%7B9%7D%5Ctimes%203.14%20%5Ctimes%20%281%5Ctext%7B%20cm%7D%29)
![l=0.697777\text{ cm}](https://tex.z-dn.net/?f=l%3D0.697777%5Ctext%7B%20cm%7D)
Upon rounding to nearest tenth, we will get:
![l\approx 0.7\text{ cm}](https://tex.z-dn.net/?f=l%5Capprox%200.7%5Ctext%7B%20cm%7D)
Therefore, the length of arc DE is approximately 0.7 cm.
We have to find the volume of the cylinder, where: r = 5 m and h = 147 m.
V = r² h π
V = 5² · 147 · 3.14 = 25 · 147 · 3.14 = 11,539.5 m³
Answer:
11,539.5 m³ of soil has to be excavated.