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lana66690 [7]
11 months ago
14

Find the length of the third side. If necessary, round to the nearest tenth.47

Mathematics
1 answer:
IRISSAK [1]11 months ago
3 0

Given a right angle triangle

The length of the legs are 4 and 7

we will find the hypotenuse using the Pythagorean theorem

So,

\begin{gathered} h^2=7^2+4^2=49+16=65 \\ h=\sqrt[]{65}\approx8.062 \end{gathered}

Rounding to the nearest tenth

So, the answer is the length of the third side = 8.1

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It should be 5√3

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What is the lcd for the fractions 5/12 and 7/18?
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alisa202
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Read 2 more answers
Solve the following system of equations graphically on the set of axes below.
ivann1987 [24]

Step-by-step explanation:

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6 0
2 years ago
I need a answer to this question please help
Burka [1]
  1. Since the triangles are similar, the slope of line segment AD and line segment BD are the same.
  2. The initial value and slope of the graph are 66 and 44 respectively.

<h3>Why are the two slopes the same?</h3>

Considering the two right-angled triangles (ΔABD and ΔBCE) with the following points A(2, 154), B(1, 110), D(2, 110) and E(1, 66).

Since the triangles are similar, the slope of line segment AD is given by:

Tanθ = AD/BE

Tanθ = (154 - 110)/(110 - 66)

Tanθ = 44/44

Tanθ = 1.

Also, the slopes of line segment BD is given by:

Tan∅ = BD/CE

Tan∅ = (2 - 1)/(1 - 0)

Tan∅ = 1/1

Tan∅ = 1.

Therefore, the slope of line segment AD and line segment BD are the same because θ is equal to ∅.

<h3>What are the initial value and slope of the graph?</h3>

By critically observing the graph, we can logically deduce that the initial value of this graph is 66 and it represents the shark's distance at the initial time (0 minute).

For the slope, we have:

Slope = Δy/Δx

Slope = (154 - 66)/(2 - 0)

Slope = 88/2

Slope = 44.

Read more on slope here: brainly.com/question/17601248

#SPJ1

<u>Complete Question:</u>

The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:

Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.

Part B: What are the initial value and slope of the graph, and what do they represent?

6 0
2 years ago
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