Answer:
miles.
Step-by-step explanation:
He bikes 25 miles in 2 hours.
25x2=50.
4 hours is 50 miles.
50+12.5=62.5
62.5 miles.
Answer:
A. Expression
Step-by-step explanation:
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.
I really hope this helps, good luck! <3
-YAND3R3
Answer:
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Step-by-step explanation:
Area of a triangle:
The area of a triangle of base b and height h is given by:
![A = bh](https://tex.z-dn.net/?f=A%20%3D%20bh)
In this question:
We have to derivate the equation of the area implicitly in function of time. So
![\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20b%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20h%5Cfrac%7Bdb%7D%7Bdt%7D)
The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.
This means that:
![\frac{dh}{dt} = 2, \frac{dA}{dt} = -0.5](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%202%2C%20%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20-0.5)
At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?
This is
when ![h = 6](https://tex.z-dn.net/?f=h%20%3D%206)
Area is 24, so the base is:
![A = bh](https://tex.z-dn.net/?f=A%20%3D%20bh)
![24 = 6b](https://tex.z-dn.net/?f=24%20%3D%206b)
![b = \frac{24}{6} = 4](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B24%7D%7B6%7D%20%3D%204)
Then
![\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20b%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20h%5Cfrac%7Bdb%7D%7Bdt%7D)
![-0.5 = 4(2) + 6\frac{db}{dt}](https://tex.z-dn.net/?f=-0.5%20%3D%204%282%29%20%2B%206%5Cfrac%7Bdb%7D%7Bdt%7D)
![6\frac{db}{dt} = -8.5](https://tex.z-dn.net/?f=6%5Cfrac%7Bdb%7D%7Bdt%7D%20%3D%20-8.5)
![\frac{db}{dt} = -\frac{8.5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bdb%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B8.5%7D%7B6%7D)
![\frac{db}{dt} = -1.4167](https://tex.z-dn.net/?f=%5Cfrac%7Bdb%7D%7Bdt%7D%20%3D%20-1.4167)
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Answer:
(8-w) -10
Step-by-step explanation:
fewer than comes after
difference of 8 and 2
(8-w)
10 fewer than
(8-w) -10
Answer:
73.6
Step-by-step explanation:
64x15%=9.6
9.6+64=73.6