Answer:
5 miles=8 km
=)1 mile=8/5 km=1.6 km
=)40 miles=1.6×40=64 km
So, 40 miles is 64 km.
Step-by-step explanation:
3x + 4 - 5 (x + 2) is an equation ; -6 = 2x
Given,
3x + 4 - 5 (x + 2)
We have to find this is whether an expression, equation or inequality.
First we have to solve this:
3x + 4 - 5 (x + 2)
3x + 4 - 5x - 10
- 2x - 6
-6 = 2x
Here, we can identify this is an equation.
What is an equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
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Answer:
x<-1
Step-by-step explanation:
6x-3 <-9
Add 3 to each side
6x-3+3 <-9+3
6x < -6
Divide by 6
6x/6 < -6/6
x < -1
The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Angle of elevation = 36 degree
Horizontal distance of 275 meters from the base of the skyscraper
From the tan ratio:
tan36 = x/275
x = 275(tan36)
x = 199.79 meters
The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters
Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º
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Let x represent the width of the garden(s). Then the length of the second garden is (3x+3). The area is the product of length and width,
90 = x(3x+3)
30 = x(x+1)
At this point, you can recognize that 5 and 6 are factors of 30 that will satisfy this equation, or you can solve the quadratic
x² +x -30 = 0
(x +6)(x -5) = 0
x = 5 . . . . . . . the negative solution does not apply
The width of the garden is 5 m.
