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Mama L [17]
2 years ago
13

On a map with a scale of 1cm = 15 km, two towns are 7.5 cm apart. How far apart are they in real life?

Mathematics
1 answer:
Nataly [62]2 years ago
6 0

Answer:

112.5 km apart

Step-by-step explanation:

Multiply 7.5 by 15:

7.5(15)

= 112.5

So, in real life, they are 112.5 km apart

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The image represents a rectangular patio that has a length equal to 4 feet more than the width. What is the perimeter of the pat
IrinaK [193]

Answer:

  4w+8 feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of its sides. Since opposite sides are identical in length, it can be computed as double the sum of adjacent side lengths. Here, the lengths are in feet.

  P = 2(L+W)

  P = 2((w+4) +w)

  P = 4w +8

The perimeter of the patio is 4w+8 feet.

4 0
1 year ago
Using the formula C=2TTr, find the circumference of a circle with a diameter of 28 in. round your answer to the nearest inch
slava [35]

radius = diameter/2

so 28/2=14

 using 3.14 for PI

2*3.14*14 = 87.92 = 88 inches

3 0
3 years ago
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Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your
lilavasa [31]

We have the equation:

y=a\cdot b^x

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}

Now, we use the point (2, 108/25) to calcualte b:

\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}

Then, we can write the equation as:

y=3\cdot(\frac{6}{5})^x

5 0
9 months ago
1.The amount of space around an object.
Mekhanik [1.2K]

Answer:

  1. Mass
  2. Surface area
  3. Volume

Step-by-step explanation:

The size of a surface. The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle, or surface of a solid (3-dimensional) object

<u>Mass </u>

A property of a physical body and a measure of its resistance to acceleration when a net force is applied.

<u>Surface </u>

The area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

<u>Volume </u>

The Measure of the amount of space that a substance or an object takes up.

8 0
2 years ago
Which of the following series is equal to the repeating decimal 0.353535…?
jolli1 [7]

Answer: 2.

Step-by-step explanation: This is because 35 is repeating forever.

6 0
2 years ago
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