Answer:
Real word Problem:- Jean is working in a pizza shop. She has 60 kg of flour. She has used one-fifth of it for making pizzas. How much flour she used for making pizzas?
Solution:- Quantity of flour she has= 60 kg
The quantity she used in making pizzas=
hence, she used 12 kg of flour for making pizzas.
Here the multiplication of a fraction and a whole number and its answer is between 10 and 15, since 10<12<15.
The only way the expression can be factored is if a -3 is pulled out...
-3(5t+2)
Answer:
Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,
Thus,
Consider isosceles triangle MSC. In this triangle
The area of this triangle is
Consider right triangle PTS. The area of this triangle is
The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:
Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)
............(2)
...........(3)
...........(4)
Now we adding equation 2 and 4, we get the value of x.
Now we are putting the value of x in 4, we get the value of y.
Therefore, the value of x and y is 8 and 10 respectively.