What is the surface area of a square pyramid with a base perimeter of 60 inches is and a slant height of 13 inches

Mathematics

1 answer:

pentagon [3]2 years ago

3 0

Answer:

615 in^2

Step-by-step explanation:

The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in. One triangle = .5bh = .5(15)(13) = 97.5. The lateral area = 4(97.5) = 390. The area of the square base is 15(15) = 225. The total area = 390 + 225 = 615 sq. in.

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I need a answer to this question please help

Burka [1]

Since the triangles are similar, the slope of line segment AD and line segment BD are the same.
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

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<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?