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An extra-large pizza is circular with a diameter of 12 inches. Pizza sauce is spread on the pizza dough at a rate of 1.1 mL of pizza sauce per square inch (in2) of crust. How much pizza sauce (rounded to the nearest 1 mL) is required to cover the entire pizza, if a 1-inch crust is to be left around the edge of the entire pizza?


1.If a=(i+3j-k) , b=(7i-2j+4k), find the area of the Parallelogram.


2. If 2x - 4y =3, 5y = (-3)x + 10 are two functions. Evaluate the x, y values using graphical method.


3. Evaluate the surfaces in 3 that are represented by the following equations.

i. y = 4

ii. z = 5


4.Following figure shows a Tetrahedron.

Construct an equation to find the volume of the given Tetrahedron using vector methods and if the vectors of the Tetrahedron are a=(i+4j-2k) , b=(3i-5j+k) and c=(-4i+3j+6k), find the volume of the Tetrahedron using the above constructed equation.






A cone has a diameter of 16 units and a height of 11 units. How many cubic units is the volume of the cone?


A square is inscribed in a circle that is inscribed in a square. Find the ratio of the areas of the two squares.


Suppose you are given the side lengths of a right angle triangle, which length is the length of the hypotenuse. How do you know?


A cylindrical silo has a height of 15.5 meters and a diameter of 4.2 meters if 1 can of paint covers 10 square meters how many cans must be bought to paint the curved face with one coat


The scale drawing is 4 cm:5 m. Give the length, width, and area of the actual room. ( 8 cm & 12 cm

If C is the midpoint of AD and CA = 10, find AD.


Find the equation (formula) of a circle with radius r and center C(h,k) and if the Center of a circle is at (3,-1) and a point on the circle is (-2,1) find the formula of the circle.

 

Find the equation (formula) of a sphere with radius r and center C(h, k, l) and show that x2 + y2 + z2 - 6x + 2y + 8z - 4 = 0 is an equation of a sphere. Also, find its center and radius.

 


 



In an isosceles trapezoid the 5- cm altitude drawn from the endpoint of the shorter base to

the larger base divides the larger base in segments of 10 cm and 25 cm long. Compute for

the area of the trapezoid.


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