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Alisiya [41]
3 years ago
12

Which kind of triangle is shown

Mathematics
1 answer:
leva [86]3 years ago
4 0

obtuse isosceles is the triangle that is shown. Hope that helps.

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The Smith family made a 12-pound turkey for dinner. If each person will eat of a pound, how many
postnew [5]
It will take 12 people to finish the turkey
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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!

5 0
3 years ago
(12 ÷ 3 + 6) -4 Math help
LekaFEV [45]

Answer:

Well, we have to remember that we must use PEMDAS, or the order of operations, to solve the expression.

<em>Therefore, we must first either divide or multiply anything that is inside of the parentheses. (In this case divide)</em>

12/3=4

(4+6)-4

<em>Now solve what remains in the parentheses.</em>

4+6=10

10-4

<em>Finally, subtract 4 from 10 and get your answer:</em>

6


4 0
2 years ago
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What else would need to be congruent to show that ABC = XYZ by ASA
andre [41]

Answer: Choice C.

Explanation: ASA stands for "angle side angle". To use ASA, we must have two pairs of congruent angles, as well as a pair of congruent sides. The sides must be between the angles in question

7 0
3 years ago
Use a pattern to answer the question.
weeeeeb [17]
4069
1st week 4x4=16
2nd week 4x16=64
3rd week 4x64=256
4th week 4x256=1024
5th week 4x1024=4096
6th week =4096
3 0
3 years ago
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