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aleksandr82 [10.1K]
2 years ago
13

Could you please answer this precisely. Thank you!

Mathematics
1 answer:
OleMash [197]2 years ago
3 0

The mathematical functions (equations) are matched to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:

y = mx ± c.

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = keˣ

Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

Read more on graphs here: brainly.com/question/24298987

#SPJ1

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A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a
viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

\theta = 30 + 10 = 40

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(40) = \frac{BC}{42}

Multiply both sides by 42

tan(40) \times 42 = \frac{BC}{42} \times 42

35.24 = BC

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

\theta = 30

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(30) = \frac{BD}{42}

Multiply both sides by 42

tan(30) \times 42 = \frac{BD}{42} \times 42

24.25 = BD

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0
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What is the length of the shorter base of the Little Trapezoid trail?
valentina_108 [34]

Answer:

The length of the shorter base of the little trapezoid trail is 1 mi.

Step-by-step explanation:

Let the shorter base of the large trapezoid is S and the larger base of the large trapezoid is L.

Similarly, assume that the shorter base of the small trapezoid is s and the larger base of the small trapezoid is l.

Since, the trapezoids are similar, so

\frac{L}{l} = \frac{S}{s}

Now, given that S = 2 mi, L = 8 mi and l = 4 mi and we have to find s.

So, s = \frac{S \times l}{L} = \frac{4 \times 2}{8} = 1 mi. (Answer)

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3 years ago
Please help explanation need it ?
ahrayia [7]

Answer:

Sin(?)=35/48

?=Sin^-1(35/48)

?=46.82

<u>? ≈ 47</u>

<u>OAmalOHopeO</u>

6 0
3 years ago
What two formulas are necessary to find the area of a segment of a circle?
Andrew [12]

Answer:

Step-by-step explanation:

Area of a Segment in Radians A = (½) × r2 (θ – Sin θ)

Area of a Segment in Degrees A = (½) × r 2 × [(π/180) θ – sin θ]

3 0
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it takes 52 minutes for 5 people to paint 5 walls. How many minutes does it takr 20 people to paint 20 walls
777dan777 [17]

Answer:

208 minutes = 3.47 hours

Step-by-step explanation:

It takes each person 10.4 minutes for 1 wall. So 20 people would take 208 minutes for 20 people to paint 20 walls

52/5 = 10.4

20 x 10.4 = 208

5 0
3 years ago
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