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spin [16.1K]
3 years ago
11

Solve the proportion.

Mathematics
2 answers:
Solnce55 [7]3 years ago
5 0
13. I hope that helps
masya89 [10]3 years ago
3 0

Answer:

14

Step-by-step explanation:

21 divided by 1.5 from the 3/2 you get 14

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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
A line passes through the point (3,-8) and has a slope of 3. Write an equation in point-slope form for this line.
zepelin [54]

Answer:

y+8 = 3(x-3)

Step-by-step explanation:

The point slope form of the equation for a line is

y-y1 = m(x-x1)

y- -8 = 3(x -3)

y+8 = 3(x-3)

4 0
3 years ago
Please answer correctly.
Murljashka [212]

In order to find the amount left after both sisters ate the cereal, we have to add the amount of cereal the two sisters ate.

Katrina ate 1 3/4 and her sister ate 7/8.

(1 3/4 + 7/8)

(you put a parentheses around it so that you add the two first before subtracting it from the original amount)

Then, we would subtract it from the original amount: 12 1/2.

-> The equation would be: 12 1/2 - (1 3/4 - 7/8).

3 0
3 years ago
What's the area of this triangle
Luda [366]

Answer:

D      A = (1/2) (y₂ - y₁)(x₃ - x₁)

Step-by-step explanation:

b = (y₂ - y₁)

h = (x₃ - x₁)

A = (1/2)bh

A = (1/2) (y₂ - y₁)(x₃ - x₁)

8 0
3 years ago
What is the answer to 0.9 divided by 7.02
Studentka2010 [4]

Answer:

0.128205128 or 1

5 0
3 years ago
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