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Simora [160]
3 years ago
11

Solve the question. ​

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0

Answer: 1

(\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2}  } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2}  } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2}  } }{x^{bc-ab} }      \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2}   } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1

Step-by-step explanation:

Serggg [28]3 years ago
5 0
Wow the person who answered above me is smart
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Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0
2 years ago
At the grocery store there are two different options for buying Coke. You can buy a 12 pack for $5.49 or an 18 pack for $8.59. W
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Step-by-step explanation:

The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.

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2 years ago
Choose the answer that gives both the correct solution and the correct graph.
Anna007 [38]

Answer:

A is the correct answer

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How do you write 0.3 in word form
Marizza181 [45]
Its three tenths my guy
8 0
3 years ago
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A sphere has a radius of 4 in. Which equation finds the volume of the sphere? V = four-thirds pi (4) cubed V = four-thirds (4) c
andrey2020 [161]

Answer:

If the sphere has a radius of 4, you can use the equation: V=4/3(pi)(r)^3

Step-by-step explanation:

V=4/3(pi)(r)^3

V=4/3(pi)(4)^3

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3 years ago
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