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Vlad1618 [11]
3 years ago
8

Please help me with these problems. This is not multiple choice. Part 3​

Mathematics
2 answers:
Ivan3 years ago
5 0

9514 1404 393

Answer:

  5. 8 ft

  6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See brainly.com/question/21087377.

__

5.

<u>Given</u>:

  triangular garden with base 7 ft and area 28 ft^2

<u>Find</u>:

  height of the triangle

<u>Solution</u>:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

  h = 2A/b

We can let h represent the height, and fill in the given data.

  h = 2(28 ft^2)/(7 ft)

  h = 8 ft

The height of the triangle is 8 feet.

__

6.

<u>Given</u>:

  (0, 110), (5, 345) . . . . . where the points represent ...

     (years after 2010, students using the hotline)

<u>Find</u>:

  a linear model for the data

  the number of students predicted for 2019

<u>Solution</u>:

The 2-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

  y = (345 -110)/(5 -0)(x -0) +110

  y = 47x +110 . . . . the linear model, where ...

     y is the number of students using the hotline

     x is the number of years after 2010

__

In 2019, x = 9, so y = ...

  y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

stira [4]3 years ago
4 0

Answer:

  • Q4. 2.5 miles
  • Q5. 8 ft
  • Q6. 533 students

Step-by-step explanation:

Q4

<u>Tom's speed upstream would be:</u>

  • 8 - 3 = 5 mph as he is moving against the current

<u>The distance traveled in 30 min:</u>

  • 30 min = 1/2 h
  • 5 mph*1/2 h = 2.5 miles

Q5

<u>Triangle area formula:</u>

  • A = 1/2bh

<u>A and b given, substitute values to find the value of h:</u>

  • 28 = 1/2*7h
  • h = 28*2/7
  • h = 8 ft

Q6

<u>Change in number of students over 5 years:</u>

  • 345 - 110 = 235

<u>Rate of change per year:</u>

  • 235/5 = 47

<u>Predicted number of students in 2019</u>

  • 345 + 47*(2019 - 2015) =
  • 345 + 47*4 =
  • 533 students
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Step-by-step explanation:

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               Statements                                  Reasons

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4 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="
ANEK [815]

The formule is about area of a circle.

\pi x^{2} = a

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In order to solve it for x, we need isolate it for x on left side.

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\frac{\pi x^2}\pi}=\frac{a}{\pi}

x^2=\frac{a}{\pi}

Taking square root on both sides, we get

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Answer:

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Step-by-step explanation:

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