Answer:
volume of the tank be when the sensor turns on = 92.316 ft³
Step-by-step explanation:
Volume of a cylinder = πr²h
Pi = π = 3.14
Radius = r = 7 ft
Height = h = 3 ft
Volume of a cylinder = πr²h
= 3.14 × 7² × 3
= 3.14 × 49 × 3
= 461.58 ft³
The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.
volume of the tank be when the sensor turns on = 20% of Volume of a cylinder
= 0.20 * 461.58 ft³
= 92.316 ft³
volume of the tank be when the sensor turns on = 92.316 ft³
Answer:
1) Option A) is correct
The given rational exponent expression is not simplified correctly as a radical expression is
![x^{\frac{7}{4}}=\sqrt[7]{x^4}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B7%5D%7Bx%5E4%7D)
2)Option A) is correct
That is 
Step-by-step explanation:
1) Given that 
![x^{\frac{7}{4}}=\sqrt[4]{x^7}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7Bx%5E7%7D)
is the correct answer but in the given problem they gave the RHS as wrong.
Therefore the given rational exponent expression is not simplified correctly as a radical expression is
2)Given that the rational exponent expression is 
To find it as a radical expression:
Therefore
Therefore Option A) is correct
That is
9514 1404 393
Answer:
- Joe: 57
- Scott: 19
- Laura: 28
Step-by-step explanation:
Let s represent the number of orders Scott served. Then we have Joe served 3s, and Laura served (s+9). The total of orders served is ...
3s +s +(s +9) = 104
5s = 95 . . . . . . . . . . . subtract 9 and collect terms
s = 19 . . . . . . . . . divide by 5
3s = 3×19 = 57
s+9 = 19+9 = 28
Joe served 57 orders, Scott served 19, and Laura served 28 orders.
Use the law of cosines.
a2+b2−2abcosC=c2
Find the measure of angle C. It is the opposite side of c.
c2−a2−b2−2ab=cosC
cosC=13.62−22.52−182−2(22.5)(18)≈0.797
C=cos−10.797=0.649 rad=37.19∘
angle B:
a2+c2−2accosB=b2
cosB=b2−a2−c2−2ac
B=cos−1b2−a2−c2−2ac=cos−1182−22.52−13.62−2(22.5)(13.6)≈0.927 rad=53.13∘
angle A:
b2+c2−2bccosA=a2
A=89.68∘
Answer:
10
Step-by-step explanation:
5x2
