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Fiesta28 [93]
3 years ago
15

-1/3a - 1/2b - 3/4 + 1/2b - 2/3 + 5/6a

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

look at the pic i sent

Step-by-step explanation:

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Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S
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Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

<u>Volume of a cylinder</u>

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

Given:

  • r = 1.5 cm
  • h = 0.25 cm

Substituting given values into the formula to find the volume:

\sf \implies V=\pi (1.5)^2(0.25)

\sf \implies V=0.5625 \pi \:cm^3

Find the density of the coin given it has a measured mass of 18.54 g

<u>Density formula</u>

\sf \rho=\dfrac{m}{V}

where:

  • \rho = density
  • m = mass
  • V = volume

Given:

  • m = 18.54 g
  • \sf V=0.5625 \pi \:cm^3

Substituting given values into the density formula:

\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}

\implies \sf \rho=10.49149385\:g\:cm^{-3}

Given:

  • \textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}
  • \textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}

Therefore, as \sf \rho=10.49\:g\:cm^{-3} the coin is made from silver.

4 0
2 years ago
An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and
blagie [28]

Answer:

  84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

  Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

  tan(30°) = OB/OA

  OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

  OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

  BC = OC -OB = 200 m - 115.47 m = 84.53 m

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3 years ago
A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time
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Step-by-step explanation:

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A rectangular prism has length 2 ft, height 7 ft, and width 4 ft.
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pos no c se suma te amo

Step-by-step explanation:

gracias <3

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