The expressions of the number of radians can be expressed in the ways below.
<h3>How to write the expressions</h3>
The radius = 1.9 km
The angular speed = 3.1 radians per hour
a. The expression of t from the number of radians
θ = π/2 + 3.1t
<h3>b. Expression from the East</h3>
x = rcosθ
= 1.9cos(π/2 + 3.1t)km
<h3>c. Expression from the north of the center</h3>
= rsinθ
= 1.9sin((π/2 + 3.1t)km
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Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :
x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.
Answer: 
Step-by-step explanation:
Given :
re - writing the equation , we have
we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.
The formula for finding the quadratic equation when the roots are known is :
- sum of roots(x) + product of root = 0
sum of roots = -2 + 4 = 2
product of roots = -2 x 4 = -8
substituting into the formula , we have:
, which could be written in inequality form as
comparing with , it means that :
Answer:
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