Answer:
Width of the Rectangular Tin=8 inch
Length of the Rectangular Tin= 16 inch
Step-by-step explanation:
Let the Width of the Rectangle=W
The length of the piece of tin is twice the width, Length = 2W
Since Squares of 3 inch are cut from all four corners of the rectangle
Length of the box = 2W-(3+3)=(2W-6) inches
Breadth of the Box = W-(3+3)=(W-6) inches
Height = 3 inches
Volume of the box = 60 cubic inches
Now, Volume of a cuboid=lbh
3(2W-6)(W-6)=60
Divide both sides by 3
(2W-6)(W-6)=20
Expanding the brackets

Factorizing

Since the Width cannot be less than 6,
Width of the Rectangular Tin=8 inch
Length= 2 X 8 = 16 inch
Answer:
x = 8
Step-by-step explanation:
We can use PEMDAS to solve algebraic equations:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
First, we have parentheses in this equation, so distribute
3(11x) + 3(5) = 279
Next, because there are no exponents, multiply
33x + 15 = 279
To isolate x, subtract 15 from both sides
33x + 15 - 15 = 279 - 15
33x = 264
Then divide both sides by 33
x = 8
Answer:
x=1.5y
Step-by-step explanation:
4(x/y+1)=10
x/y+1=10/4
x/y+1=2.5
x/y=2.5-1
x/y=1.5
x=1.5y
Answer:
He will take 60 seconds to move from one end of the sidewalk to other.
Step-by-step explanation:
Given:
A person on a moving sidewalk,
21 feet in 7 seconds
Then 180 feet
To Find:
Total time =?
Solution:
Speed:
Speed is defined as the rate of distance covered in per unit time.
It is given as

Substituting the given values we get

Now, With this speed if he walk 180 feet then the time is

Substituting Speed and Distance we get

He will take 60 seconds to move from one end of the sidewalk to other.
The correct answers are:1) sin(x) =
2) tan(x) =
Explanation:Given:

Step 1:
Since, according to the Trigonometric identity:

-- (1)
Step 2:
Plug in the value of cos(x) in equation (1):

Step 3:
Take square-root on both sides:

sin(x) =

Now to find the tan(x), we would use the following formula:
tan(x) =

--- (2)
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =

Hence tan(x) =