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3 years ago

What are recriprocals

Mathematics

2 answers:

stepladder [879]3 years ago

8 0

Two numbers are called reciprocals if their product is equal to 1.
Hope this helps~

irga5000 [103]3 years ago

3 0

Reciprocal is another word for flip...... So like, 3/4, when you recriprocal it, it would be 4/3! Hope this helps!

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10. A group of 10 people go to see a movie. The tickets

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6 adults were in the group and 4 children

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3 years ago

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Helpppp me please!! I dont understand.

Dafna1 [17]

Answer:

X = 11

X = 7

Step-by-step explanation:

Part 1:

The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE

158 ÷ 2 = 79

You need to find x so you're going to set your equation of (8x - 9) = 79

Then you're going to add 9 to both sides to get 8x = 88

Divide both sides by 8 to get x = 11

Part 2:

We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90

add 1 to both sides and our equation is (13x = 91)

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x = 7

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3 years ago

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State of the triangles in each pair of similar. If so, State how you know they are similar and complete the similarity statement

Vinil7 [7]

Answer:

b. not similar

Step-by-step explanation:

The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.

____

* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.

However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.

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3 years ago

To calculate theoretical probability, divide the number of ______ outcomes by the total number of outcomes.

Alexandra [31]

Answer:desired

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Is 1/8

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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.

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!

5 0

3 years ago