Answer:
Exact form: 
Decimal form: 
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:

Placing into the desired format, the exact format is:

In the decimal part, we divide 8 by 9. So

Solving for x:
We apply the inverse sine. So




The solution for x is of 10.455º
Answer:
a.y'=-1
b.y'=-1
c.Yes
Step-by-step explanation:
We are given that consider a function

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable
Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.
a.
Differentiate w.r.t x then we get




b.


Differentiate w.r.t x then we get


When we substituting the value of y obtained from part b into a solution of part a then we get

Hence, solutions are consistent.
Answer:
13,363.84 square cm
Step-by-step explanation:
For this question,
The circle table has a radius of 56 cm and the height of the edge of the cloth is 10cm(height) below the tabletop, which is a rectangle
We need to find out the area of a circle, Then the area of the rectangle.
Area of circle FORMULA= πr^2 | Area of rectangle FORMULA = l * h
πr^2
3.14 * 56 * 56 = area of circle = 9,847.04
[(2*3.14*56)Perimeter of circle which is also length of rectangle] * 10 = area of rectangle = 3516.8
9,847.04 + 3516.8 = 13,363.84
Answer:
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Step-by-step explanation:
Answer: 52 square feet
Step-by-step explanation:
The surface area of a rectangular prism is given by :-
, where l is length , w is width and h is height of then prism.
Given: Dimensions of the rectangular prism :
2 feet by 3 feet by 4 feet
Then , the surface area of a rectangular prism will be:-

Hence, the surface area of a rectangular prism= 52 square feet