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2 years ago

9

I’m stuck on this problem plz help

1 answer:

Furkat [3]2 years ago

7 0

Answer:

408 in²

Step-by-step explanation:

A rectangular prism has 6 rectangular faces.

Opposite faces are congruent

2 faces at (6 × 9) = 2 × 54 = 108 in²

2 faces at (9 × 10) = 2 × 90 = 180 in²

2 faces at (6 × 10) = 2 × 60 = 120 in²

surface area = 108 + 180 + 120 = 408 in²

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3 years ago

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2 years ago

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2 years ago

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2 years ago

For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?

konstantin123 [22]

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

$x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)$

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

$From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1$

After solving we get value of y=-1

Now putting in eq(1) to get value of x

$x+2y=0\\x+2(-1)=0\\x-2=0\\x=2$

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

$5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3$

So, After solve the equations we get value of k=3

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2 years ago