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seropon [69]
3 years ago
14

Which of the following points satisfies the inequality 2x - 3y < 1?

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

The answer is 12,0!

Step-by-step explanation:

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Surface area of rectangular prism with square prism on top. 6 cm 7cm 8 cm 8cm
dalvyx [7]

Answer:

It,s 336.

Step-by-step explanation:

6 0
3 years ago
Julie wrote the rate $108 in 6 weeks as a unit rate. Find her mistake and correct it.
Goshia [24]
Julie wants to express $108 in 6 weeks as a unit rate.

Her errors are:
$108 = $54   (Not true)
6 weeks = 3 weeks (Not true).

Instead,
\frac{\$108}{6\,weeks} \\ = \frac{\$54 \times 2}{3\,weeks \times 2} \\ = \frac{\$54}{3\,weeks} \\ =18 \,  \frac{\$}{week}

The correct unit rate is 18 $/week.
6 0
3 years ago
Find the height of the given pyramid.<br><br> 2.3m<br> 4.5m<br> 6m<br> 7m
Alex Ar [27]

Answer:

The height is 7 m.

Step-by-step explanation:

Volume = 1/3 * area of the base * height, so

28 = 1/3 * 3 * 4 * h

4h = 28

h = 7.

4 0
3 years ago
The statement tan theta -12/5, csc theta -13/5, and the terminal point determined by theta is in quadrant 2."​
Harlamova29_29 [7]

Answer:

Answer C:

Cannot be true because csc(\theta)  is greater than zero in quadrant 2.

Step-by-step explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

csc(\theta)=\frac{1}{sin(\theta)}

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because  csc(\theta)  is greater than zero in quadrant 2.

6 0
3 years ago
A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
2 years ago
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