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Crank
2 years ago
9

tmara is making a medium length necklace. write an expression that shows how nuch it will cost tamara for the chain,pendant,and

b beads that cost $0.25 each.Then find the total cost of the necklace if tamara uses 30 beads.
Mathematics
1 answer:
erastova [34]2 years ago
8 0

Answer:

1/4(n), $7.50

Step-by-step explanation:

Expanded: cost = 0.25 * chains + 0.25 * pendants + 0.25 * beads

Simplified: c = (1/4)(total number of items)

Expression only: 1/4n where n = # chains + # pendants + # beads purchased

Total cost of 30 beads = 1/4(30) = 7.5 = $7.50

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Step-by-step explanation:

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1.25 minutes, or 1 minute 15 seconds

Step-by-step explanation:

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Round 2.8962 do not add extra zeros
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3 years ago
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There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

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3 years ago
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2, 5, 8, 11, 14 is an arithmetic sequence

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