14. the length of the arc is found by using the formula 2*PI*r*angle/360
the circle has a radius of 2 and the known angle is 90 degrees
so you now have: 2 * pi * 2 * 90/360, since the answer needs to be in terms of PI, remove pi from the equation for now:
2*2 *90/*360 = 1
the arc length = 1PI, or just PI
16. the area of the parallelogram is L x W : 9 *6 = 54
the area of the circle is: PI *r^2 = pi * 3^2 = 28.26
area of shaded region is subtracting the area of the circle from the parallelogram: 54 - 28.26 = 25.74 square inches
Answer: It is tripled.
Since x and y are proportional, whatever happens to x must happen to y in order for the two values to stay proportional.
Letter E is correct.
Area of equilateral trianlge= (1/2) tiime a^2 square root 3
Equation for the base is = x^2+y^2 =9
at x ,
y= square root (9-x^2)
Side of triangle a= 2y
d times Volume = (1/2)a^2 square root 3 dx
d times V= (square root 3) (9-x^2) dx
V= square root 3 INT (9-x^2) dx
-3V= 2square root INT (9-x^2) dx
0
V= 2 square root 3 ( 9x-x^3/3)
V=2 square root 3 ( 27-9)
V= 36 square root 3
The answer is E.
Answer:
Matt has 7 cards.
Step-by-step explanation:
Let K, M and Z represent number of cards that Kate, Matt and Zach have.
We have been given that together Kate and Matt have 47 cards. We can represent his information in an equation as:
We are also told that Kate and Zach combine cards they have 126. We can represent his information in an equation as:
Further, Matt and Zach combine they have 93. We can represent his information in an equation as:
Upon subtracting equation (3) from equation (2), we will get:
Upon substituting this value in equation (1), we will get:
Therefore, Matt has 7 cards.
