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valentinak56 [21]
3 years ago
9

What is the surface area of the triangular prism? A triangular prism. The base is 6 feet by 9 feet. The 2 rectangular sides are

9 feet by 5 feet. The triangular sides have a base of 6 feet and height of 4 feet. _________ square feet
Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer:

  168 ft²

Step-by-step explanation:

The area of the two triangular bases is ...

  total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²

The lateral area of the prism is the product of the triangle perimeter and the height of the prism.

  lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²

The surface area is the sum of the base area and the lateral area:

  surface area = base area + lateral area

  surface area = 24 ft² +144 ft² = 168 ft²

The surface area of the prism is 168 square feet.

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Attached as photo. Please help
Effectus [21]

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a)     (1)

The steps of Euler's method are summarized below:

  1. Define the function seen in the statement by the label f(x₀, y₀).
  2. Determine the different variables by the following formulas:

    xₙ₊₁ = xₙ + (n + 1) · Δx     (2)
    yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ)     (3)
  3. Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

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7 0
2 years ago
8. Solve the measurement conversion problem. 8 ounces=1cup. Multiply 24x4 then convert to cups
taurus [48]
I believe the answer is D

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If it costs $3.50 per square foot, what is the approximate total cost of making this
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The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which state
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From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades. 
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3 years ago
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Given the sequence 8, 12, 16, 20, 24, what is the sum of the 31st and 19th terms?
erica [24]

Answer:

First term (a) =8

Common difference (d)= t2-t1

=12-8

=4

Now, sum of first 31th term (tn31) =n/2{2a+(n-1)d}

= 31/2{2×8+(31-1)4}

=31/2{16+(30×4)

=31/2(16+120)

=31/2×126

=31×63

Step-by-step explanation:

Similarly use 19 as (n) for the 19th term

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