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azamat
2 years ago
9

Find the area of ABC to the nearest tenth, if necessary

Mathematics
1 answer:
ElenaW [278]2 years ago
4 0

Answer:

  29.7 m²

Step-by-step explanation:

The relevant area formula is ...

  A = 1/2ab·sin(C)

  A = 1/2(12.6 m)(8.9 m)sin(32°) . . . . use given values

  A = (1/2)(12.6)(8.9)(0.52992) m² ≈ 29.7 m²

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Step-by-step explanation:

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3 years ago
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Gala2k [10]
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3 years ago
The population of two different villages is modeled by the equations shown
vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

y=x^2-30x+540

y=20x+15

The population of both villages are same after x years after 1980 if

x^2-30x+540=20x+15

x^2-30x+540-20x-15=0

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Splitting the middle term, we get

x^2-15x-35x+525=0

x(x-15)-35(x-15)=0

(x-15)(x-35)=0

x=15,35

It means, after 15 or 35 years, the population will same.

For x=15, years is 1980+15=1995 and population is  

y=20(15)+15=315

For x=35, years is 1980+35=2015 and population is  

y=20(35)+15=715.

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0
3 years ago
180 °<br> 35 °<br> X °<br><br> X = ? °
just olya [345]

Answer:

x=145°

Step-by-step explanation:

180 = 35 + x

x = 180-35

x= 145°

3 0
3 years ago
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