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3 years ago

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.

Given:

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

Find:

height of the triangle

Solution:

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.

Given:

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

(years after 2010, students using the hotline)

Find:

a linear model for the data

the number of students predicted for 2019

Solution:

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:

Tom's speed upstream would be:

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

The distance traveled in 30 min:

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

Triangle area formula:

A = 1/2bh

A and b given, substitute values to find the value of h:

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

Change in number of students over 5 years:

345 - 110 = 235

Rate of change per year:

235/5 = 47

Predicted number of students in 2019

345 + 47*(2019 - 2015) =
345 + 47*4 =
533 students

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Answer:

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Step-by-step explanation:

Add the square of half the x-coefficient to complete the square.

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3 years ago

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Step-by-step explanation:

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Answer:

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3 years ago

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SpyIntel [72]

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3 years ago

Please help me solve for x =

Sladkaya [172]

Answer:

x = 13

Step-by-step explanation:

Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:

$\frac{ML}{NM} = \frac{ST}{PS}$

$\frac{8}{10} = \frac{x - 1}{x + 2}$

Cross multiply:

8(x + 2) = 10 (x - 1)

8x + 16 = 10x - 10

Subtract 8x from both sides:

8x - 8x + 16 = 10x - 8x - 10

16 = 2x - 10

Add 10 to both sides:

16 + 10 = 2x - 10 + 10

26 = 2x

Divide both sides by 2:

$\frac{26}{2} = \frac{2x}{2}$

13 = x

Verify whether x = 13 is the correct value:

$\frac{ML}{NM} = \frac{ST}{PS}$

$\frac{8}{10} = \frac{x - 1}{x + 2}$

$\frac{8/2}{10/2} = \frac{4}{5}$

$\frac{x -1}{x+2} = \frac{13 - 1}{13 + 2} = \frac{12}{15} = \frac{12 / 3}{15 /3} = \frac{4}{5}$

This shows the proportional relationship between $\frac{ML}{NM} = \frac{ST}{PS}$ , and that ΔNML and ΔPST are indeed similar right triangles.

Therefore, the correct answer is x = 13.

4 0

3 years ago

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

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