The answer is A. 21.6 just add, 9.2+0.5+6+5.9=21.6
I hope this helps!
Answer:
B
Step-by-step explanation:
e is the base of the natural log system.
take the natural log of both sides.
ln(e^a) = ln(60) The power can come down
a ln(e) = ln(60) The natural log of e = 1
a * 1 = ln (60)
a = ln(60)
Step-by-step explanation:
Since, y varies directly as x:
![\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k = \frac{21}{7} = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \: \: y = - 5 \: in \: (2)\\ - 5 = 3x \\ x = \frac{ - 5}{3} \\ \: \: \: \: \: \: \huge \red{ \boxed{x = - \frac{5}{3} }}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20y%20%3D%20kx..%281%29%20%5C%5C%20%28k%20%3D%20constant%20%5C%3A%20of%20%5C%3A%20proportionality%29%20%5C%5C%20at%20%5C%3A%20y%20%3D%2021%20%5C%3A%20and%20%5C%3A%20x%20%3D%207%20%5C%5C%2021%20%3D%20k%20%5Ctimes%207%20%5C%5C%20k%20%3D%20%20%5Cfrac%7B21%7D%7B7%7D%20%20%3D%203%20%5C%5C%20plugging%20%5C%3A%20k%20%3D%203%20%5C%3A%20in%20%5C%3A%20equation%20%5C%3A%20%281%29%20%5C%5C%20y%20%3D%203x..%282%29%20%5C%5C%20plugging%20%5C%3A%20%20%5C%3A%20y%20%3D%20%20-%205%20%20%5C%3A%20in%20%5C%3A%20%282%29%5C%5C%20%20-%205%20%3D%203x%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B3%7D%20%20%5C%5C%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5Chuge%20%5Cred%7B%20%5Cboxed%7Bx%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20%7D%7D)
Answer:
The base is 19.5.
Step-by-step explanation:
The given question is, "The perimeter of a rectangle is 58 and its base exceeds its width by 10, how long is the base?"
Perimeter = 58
Base, l = 10+b
The perimeter of a rectangle is :
P = 2(l+b)
58 = 2(10+b+b)
29 = (10+2b)
29-10 = 2b
19 = 2b
b = 9.5
Base, l = 10 + 9.5
= 19.5
Hence, the base is 19.5.