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Contact [7]
2 years ago
14

The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangl

e. Show all work.
Mathematics
2 answers:
nadezda [96]2 years ago
8 0
You can divide 87 by 3 which is 29, so each angle will be 29 degrees.
Since they are consecutive, that means they will all measure the same.

Hope this helps! :)
sashaice [31]2 years ago
5 0
X = smallest side length
x+1 = midsized side length
x+2 = largest side length

Add up the three sides. Set the sum equal to 87 and then solve for x
(x)+(x+1)+(x+2) = 87
(x+x+x) + (1+2) = 87
3x+3 = 87
3x = 87-3
3x = 84
x = 84/3
x = 28

If x = 28, then
x+1 = 28+1 = 29
x+2 = 28+2 = 30

So the triangle has the three sides: 28, 29, 30
Check: 28+29+30 = 87

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The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the
bekas [8.4K]

Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

4 0
3 years ago
Hellllp me with this plz thaks
Oksana_A [137]
The answer is 64 fluid ounces
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What are the zeros of (x-2)(x^2-9)
SashulF [63]
So because the factors of the equation are (x-2), (x+3) and (x-3), you set them equal to zero and you get x=2, -3, and 3
4 0
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The population of a small town in central Florida has shown a linear decline in the years 2005-2013. In 2005 the population was
n200080 [17]

Answer:

Step-by-step explanation:

the population 761.B

5 0
3 years ago
Tilda buys a shirt for d dollars. She uses a $50 gift card and receives $22.50 in change Write an equation for this.
luda_lava [24]

Answer:

$50 - d = $22.50

Step-by-step explanation:

Since she's receiving a change, it means that d is smaller than $50, therefore, it will be deducted from it to give the change.

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2 years ago
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