Answer:
x = 9
Step-by-step explanation:
ur welcome
Answer:
240 houses
Step-by-step explanation:
Given that:
Number of streets = 4
Length of each street = 3/4 miles long
Street is divided into lots with one house built per lot
1 mile = 5289 feets
3/4 miles = (3/4) * 5280 = 3960 feets
Hence, street is 3960 feets long
Since each lot must have at least 65 feet frontage along the street:
Number of lots per street :
Length of street / frontage length
3960 ft / 65 ft = 60.92
Hence, maximum number of lots per street = 60 lots per street
Maximum number of houses in New neighborhoods :
Number of lots per street × number of streets
= 60 × 4
= 240 houses
Answer: 3:4
Step-by-step explanation:
The solution to the above factorization problem is given as f′(x)=4x³−3x²−10x−1. See steps below.
<h3>What are the steps to the above answer?</h3>
Step 1 - Take the derivative of both sides
f′(x)=d/dx(x^4−x^3−5x^2−x−6)
Step 2 - Use differentiation rule d/dx(f(x)±g(x))=d/dx(f(x))±d/dx(g(x))
f′(x)=d/dx(x4)−d/dx(x^3)−d/dx(5x^2)−d/dx(x)−d/dx(6)
f′(x)=4x^3−d/dx(x3)−d/dx(5x^2)−d/dx(x)−d/dx(6)
f′(x)=4x^3−3x2−d/dx(5x^2)−d/dx(x)−d/dx(6)
f′(x)=4x^3−3x^2−10x−d/dx(x)−d/dx(6)
f′(x)=4x^3−3x^2−10x−1−dxd(6)
f′(x)=4x^3−3x^2−10x−1−0
Learn more about factorization:
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Answer:
The angle is
.
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ = 
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ = 
Sin θ = 0.0875
θ =
0.0875
= 
The angle made by the rope with respect to the ground is approximately
.