Answer:
The rational form of the given number 0.1777 = 
Step-by-step explanation:
The rational number is expressed as a number on the form of 
Now,here the given number in decimal form = 0.1777
To remove the decimal, firstly count the number of digits AFTER DECIMAL.
Here, number of digits after decimal = 4
SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.

Hence, the rational form of the given number 0.1777 = 
Answer:(f*g)(x)= 21x^2 -29x -10
Step-by-step explanation:
(3x-5)(7x+2)
21x^2-35x+6x-10
21x^2-29x-10
Answer:
P = 42.84 cm
Step-by-step explanation:
A half-circle is joined to an equilateral triangle with side lengths of 12 units.
We need to find the perimeter of the resulting shape.
The perimeter of the half cirle is πr.
The diameter of the circle is 12. It means radius is 6 units.
An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :
P = πr + 12 +12
= 3.14(6) + 24
= 42.84 cm
Hence, the perimeter of the resulting shape is 42.84 cm.
Answer:
-36/15
Step-by-step explanation:
If the indefinite integral of f(x)dx is F(x), then your integral from 1 to 5 is ...
F(5) -F(1) = 36/15
The integral in the reverse direction is ...
F(1) -F(5) = -(F(5) -F(1)) = -36/15
Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
= 1 * 4 dollars
= 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
= 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and
the total amount that Steve had to pay was $44.