The length of the rectangle is 10 cm and perimeter of the rectangle is 32 cm.
Step-by-step explanation:
Given,
The area of rectangle = 60 sq cm
Width (b) of the rectangle = 6 cm
To find the length and perimeter of the rectangle.
Formula
The area of the rectangle = l×b
The perimeter of the rectangle = 2(l+b)
According to the problem,
l×b = 60
or, l×6 = 60
or, l = 60÷6 = 10
Length (l) = 10 cm
Perimeter = 2×(10+6) cm = 32 cm
Answer: -5 < x + 1 < 3
Step-by-step explanation:
Let x be the number.
-5 < x + 1 < 3
Given:


To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are


On comparing these equations with (i), we get


Angle between two lines whose slopes are
is

Putting
and
, we get



Now,
and 
and 
and 
, so it is an obtuse angle and
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
Answer:
2
Step-by-step explanation:
Take any 2 points on the graph,
(50, 10) & (90, 90)
Use the slope formula:

= (90-10)/(90-50)
= (80)/(40)
= 2
Hence, the slope is 2.
<em>Feel free to mark this as brainliest! :D</em>
We have:
Initial velocity (u) = 32 m/s
Final velocity (v) = 0 m/s ⇒ The value is zero because the car comes to stationary position when it stops
Time = 14 seconds
We can use one of the constant acceleration equation:

where

is the acceleration



The acceleration is 2.3 m/s⁻² and the negative sign shows deceleration