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mamaluj [8]
3 years ago
15

Help with trigonometry Use pythagorean theorem to find the length of x

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

x =√969

Step-by-step explanation:

AC²=AB²+BC². (Formula)

(35)²=(16)²+BC²

1225-256=BC²

969=BC²

BC=√969

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A construction crew is lengthening a road. The road started with a length of 59 miles, and the crew is adding 2 miles to the roa
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The answer is L = 59 + 2(d). If we plug in our numbers, we will get L = 59 + 2(32). 2*32 is 64, and if you add 59 you get 123 miles.

This isn’t apart of the question, but 59 would be the y-intercept. 2 miles per day (2/1) is the slope.
7 0
2 years ago
s(t) = 0.29t2 − t + 25 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007. Use a Riemann sum with n
Sav [38]

Answer: The answer is 300 gallons.

Step-by-step explanation: Riemann sum is a method of calculating the total  area under a curve on a graph, which is also known as Integral.

To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δx_{k} = \frac{b-a}{n}

If a function is defined on the closed interval [a,b] and c_{k} is any point in [x_{k-1},x_{k}], then a Riemann Sum is defined as ∑f(c_{k})Δx_{k}.

For this question:

Δx_{k} = \frac{7-0}{5} = 1.4

Now, we have to find s(t) for each valor on the interval:

s(t) = 0.29t^{2} - t +25

s(0) = 25

s(1) = 24.29

s(2) = 24.16

s(3) = 24.61

s(4) = 25.64

s(5) = 27.25

s(6) = 29.44

s(7) = 32.21

Now, using the formula:

∑f(c_{k})Δx_{k} = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)

∑f(c_{k})Δx_{k} = 1.4(212.6)

∑f(c_{k})Δx_{k} ≅ 300

With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.

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3 years ago
Please help me with math work pol Mrs
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Identify the vertex, axis of symmetry, maximum, or minimum, domain and range of each function.
Fynjy0 [20]

Answer:  see below

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is:    y = a(x - h)² + k     where

  • "a" is the vertical stretch (positive = min [U], negative = max [∩])
  • (h, k) is the vertex
  • Axis of Symmetry is always: x = h
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a) y = 2(x - 2)² + 5

        ↓       ↓      ↓

      a= +   h= 2   k= 5

Vertex: (h, k) = (2, 5)

Axis of Symmetry: x = h  →  x = 2  

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range:  y ≥ k → y ≥ 5

b) y = -(x - 1)² + 2

        ↓       ↓      ↓

      a= -   h= 1   k= 2

Vertex: (h, k) = (1, 2)

Axis of Symmetry: x = h  →  x = 1  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ 2

c) y = -(x + 4)² + 0

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      a= -  h= -4   k= 0

Vertex: (h, k) = (-4, 0)

Axis of Symmetry: x = h  →  x = -4  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ 0

d) y = 1/3(x + 2)² - 1

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      a= +  h= -2   k= -1

Vertex: (h, k) = (-2, -1)

Axis of Symmetry: x = h  →  x = -2  

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range:  y ≥ k → y ≥ -2

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It will tell you if the wall meet at a perfect right angle.

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