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Sati [7]
2 years ago
13

ABC Awards is making a new trophy shape. The trophy will be composed of a rectangular prism having a square base with 4.5-inch s

ides and a height of 6 inches. The prism will be topped with a pyramid with the same base and a slant height of 5 inches. When the trophy is assembled, it will receive a coat of gold glassy paint. What is the surface area to be coated on the final trophy?
Mathematics
1 answer:
Anettt [7]2 years ago
8 0

Answer:

135

Step-by-step explanation:  6x7x4.5=135 YOUR WELCOME

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Translate the Verbal phrase into a Math Expression: Four more than twice a number
alukav5142 [94]

Answer:

2x+4 or 4+2x

Step-by-step explanation:

3 0
3 years ago
Hey math can you help
HACTEHA [7]
So if we’re talking about meters per second, you would need to divide.

-17.5/5 = -3.5

NOW YOU THINK THATS YOUR ANSWER BUT NOO. You CANNOT have a negative second. So you take the absolute value of -3.5 and your answer would be 3.5

The rate of the anchor is 3.5 meters per second.
3 0
3 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
Round 45,621 to the nearest hundred.
Schach [20]

Answer:

The answer is 45600 as 621 is less than 650 and should be rounded down.

4 0
2 years ago
Read 2 more answers
Find the surface area of the prism 4cm 5cm 12cm 13cm
inysia [295]
The answer would depend on where the numbers you gave us are on the pyramid. but here is the formula  to find the surface area of a prism; 
surface area= base x height + 2 x length x side + length x base
i will do the equation for you if you specify which numbers are the base, length, side, and height. or if you attach a photo.
7 0
3 years ago
Read 2 more answers
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