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4 years ago

The prism shown has a volume

Mathematics

2 answers:

hjlf4 years ago

6 0

Answer:

14cm

Step-by-step explanation:

Multiply the values give which is 12cm and 18cm, which gives you 216. Then with the volume divide 216 from the volume, as you need to figure out how much volume the unknown value is, which is 14.

Ulleksa [173]4 years ago

3 0

Answer:

14 = h

Step-by-step explanation:

V = l*w*h

3024 = 12*18*h

3024 = 216h

Divide each side by 216

3024/216 = 216h/216

14 = h

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Jen has a checking account balance that is less than -$5. Does she owe more or less than $5? Explain your answer.

Shkiper50 [21]

Answer:

She owes more than $5

Step-by-step explanation:

Check balance is -$5. Jen needs to pay $5 to have no debt. -5 + 5 = 0.

She might need to pay more than $5 to have credits on her account balance.

3 0

3 years ago

1. ADEA has vertices D(8,4), E(2, 6), and F(3, 1). What are the vertices of the image after a dilation with a scale factor of 5

lubasha [3.4K]

Answer:

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)

Let us use this rule to solve our question

∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)

∵ ΔDEF dilated by a scale factor 5

∴ k = 5

∵ The origin as the center of dilation

→ That means, multiply the coordinates of every point by 5

∴ D' = (8 × 5, 4 × 5)

∴ D' = (40, 20)

∴ E' = (2 × 5, 6 × 5)

∴ E' = (10, 30)

∴ F' = (3 × 5, 1 × 5)

∴ D' = (15, 5)

∴ The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

3 0

3 years ago

For which intervals is the function increasing?

Nana76 [90]

Answer:

(-pi, 0)

Step-by-step explanation:

From the graph, we have 3 stationary point; the first one at x = 0, the second one at x = 1 and the last one at x = 2.

The function is increasing at two intervals.

The first increase is between x = -1 and x = 0.

The second increase is between x = 1 and x = 2.

From the choices give the interval that represent increase is (-pi, 0)

6 0

4 years ago

Match the formula to the correct figure.

forsale [732]

Given:

The figures cylinder, cube, cone, and pyramid.

To find:

The formula of volume for the given figures.

Solution:

Volume of a cylinder is:

$V_1=\pi r^2h$

Where r is the radius and h is the height.

Volume of a cube is:

$V_2=a^3$

Where a is side length of cube.

It is also written as:

$V_2=l\times w\times h$

Where l is length, w is width, h is height and $l=w=h$ .

Volume of a cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where r is the radius and h is the height.

Volume of a pyramid is:

$V_4=\dfrac{1}{3}Bh$

Where B is the base area and h is the height.

Therefore the table of formulae is shown below:

Figure Volume formula

Cylinder $\pi r^2h$

Cube $l\times w\times h$

Cone $\dfrac{1}{3}\pi r^2h$

Pyramid $\dfrac{1}{3}Bh$

3 0

3 years ago

Which expression is equivalent to 5x-30

creativ13 [48]

Factor out the 5. 5(x - 6)

5 0

4 years ago

The prism shown has a volume ​

The prism shown has a volume