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fiasKO [112]
3 years ago
13

A trapezoid has base lengths of 36cm and 60cm. the area is 768^2. Find the height.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

if you mean 768 centimeters squared then the height is 16.38 cm. but just in case, if you did mean 768 squared then the height is 12288.21.

Step-by-step explanation:

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One out of every 25 workers at Dean Shipyard filed for Workers' Compensation this year. What percent of the workers filed for Wo
Len [333]
4% of workers filed for Workers' Compensation because 1/25 is equal to 4%.
6 0
2 years ago
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Factorise-              6y-15y^2<br>     HELP
Citrus2011 [14]
We will take the common terms in the expressions-

Here in the expression, 3y is a common term.
So,

6y - 15y^{2}

3y(2 - 5y)

So, the answer is 3y(2 -5y)
7 0
3 years ago
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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
Liam is going on a vacation to Australia. His flight leaves at 3:15 P.M. It takes 1 hour and 35 minutes to get to the airport, a
Leni [432]

Answer:

12:40 is the anwser

Step-by-step explanation:

If his flight leaves at 3:15 and it takes and hour and 35 minutes to gett there than you would have to subtract 1 hour and 35 minutes from 3:15 so

3:15 minus 1 hour is 2:15

2:15 minus 35 minutes is 1:40

so now he wants to be and hour and 35 minutes earlier so the anwser would be

2:15 minus 1 hour is 1:15

1:15 minus 35 minutes is 12:40

8 0
2 years ago
When x = 5 and y = 6, x2 + 3(x+y)= (Type an integer<br> or a decimal
Marta_Voda [28]

Answer:

43

Step-by-step explanation:

We are given everything we need, all you need to do is plug in <u>5 for x</u> and <u>6 for y.</u>

(5)2 + 3(5+6) =

= 10 + 3(11)

= 10 + 33

= 43

6 0
2 years ago
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