Answer:
dA/dt = 31 in²/ sec
Step-by-step explanation:
The area of the triangle is:
A(t) = (1/2)*b*h where b is the base and h the height
Differentiation on both sides of the equation we obtain
dA/dt = (1/2)* db/dt * h + (1/2)* dh/dt * b (1)
db/dt = 3 in/sec
dh/dt = 2 n/sec
b = 10 in
h = 14 in
By substitution in (1)
dA/dt = 0,5* 3*14 + 0,5* 2*10
dA/dt = 21 in² /sec + 10 in²/sc
dA/dt = 31 in²/ sec
Notice the picture below
so... a cube has all sides equal, so is just a rectangular prism with equal sides
and a rectangular prism is just 6 rectangles stacked up to each other at the edges
now, notice in the graph at the bottom, one of the rectangles with a thickness of 2inches
so... just get the volume of each, and add them up, that's how much metal is needed
Answer:
(-5, -6)
Step-by-step explanation:
The smaller integer is x.
The larger integer is x + 1.
x + 1 = 7 + 2x
-x = 6
x = -6
x + 1 = -6 + 1 = -5
Answer: (-5, -6)
If the<em> price is $180 per square foot</em>, the price of the lot will be $3,240,000
To calculate Xavier cost, we need to first calculate the area of the lot (trapezium)
Area of the trapzium = 1/2(a+b)h
- h is the height of the trapezium
- a and b are the sides
Area of the trapezium = 1/2(175+185)*100
Area of the trapezium = 1/2(360)*100
Area of the trapezium = 18000 square foot.
If the<em> price is $180 per square foot</em>, the price of the lot will be 18000 * 180 = $3,240,000
Learn more on area of trapezium here: brainly.com/question/16904048
Answer:
(x/3) - 5.
Step-by-step explanation:
Let the number be x.
The quotient of the number and 3 is x/3.
So the expression is:
(x/3) - 5.