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DiKsa [7]
3 years ago
10

What is the value of X and Y?

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Answer:

Y=20

X=10

Step-by-step explanation:

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The open tray shown in the illustration is to be manufactured from a 18-by-19-inch rectangular sheet of metal by cutting squares
defon
Answer: You should cut out squares that are 4 inches by 4 inches.

One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.

The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.

Length = 19 - 2x
Width = 18 - 2x
Height = x

Volume = LWH

So our equation could be: y = (19 - 2x)(18 - 2x)x

If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
8 0
3 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24?
Ivenika [448]

Answer:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

And, those are the solutions to the equation.

7 0
3 years ago
Read 2 more answers
What is the simplified form?
MAVERICK [17]

Answer:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

Step-by-step explanation:

6 0
3 years ago
I’m really stuck<br> Can. Someone help?
const2013 [10]

Answer:

-2\leq x < 8

Step-by-step explanation:

Notice that the leftmost endpoint, 2, has a closed circle, which means that it is included in the inequality. Also, the rightmost endpoint, 8, has an open circle, which means that is NOT included in the inequality.

Because the inequality only includes what is between the two numbers, you write the inequality as -2\leq x < 8 to show that -2 is included and 8 is not included.

8 0
2 years ago
An 11 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet from the side of the house. How high is
Mariulka [41]
Using Pythagoras Theorem,
(b is the length of the ladder from the ground)
11x11=6x6+(b^2)
121-36=(b^2)
85=(b^2)
b= 9.219544457292887
b is approximately 9.2
5 0
3 years ago
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