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8090 [49]
2 years ago
14

Hallar la altura(h) de un triángulo que tiene una base 12 metros y un área de 96

Mathematics
1 answer:
frez [133]2 years ago
3 0

Answer:

Height of triangle = 16 meter

Step-by-step explanation:

Given:

Area of given triangle = 96 squares meter

Base length of triangle = 12 meter

Find:

Height of triangle

Computation:

Area of triangle = (1/2)(b)(h)

Area of given triangle = (1/2)(Base length of triangle)(Height of triangle)

96 = (1/2)(12)(Height of triangle)

96 = (6)(Height of triangle)

Height of triangle = 96 / 6

Height of triangle = 16 meter

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What is the slant height if the surface area is 395.64 square meters? (Use 3.14 for π .) r = 7 of a cone
kodGreya [7K]
1. The formula for calculate the area of a cone is:

 A=πr²+πrl  (1)

 A is the area (A=395.64 m²).
 π=3.14
 r is the radius (r=7).
 l is the height.

 2. The formula for calculate the slant height of the cone, is given by the Pythagorean theorem:

 h²=l²+r²
 h=√(l²+r²)   (2)

 h is the slant height.

 3. We don't know the value of "l", so:

 - We must rewrite the formula (1) and clear "l":

 A=πr²+πrl 
 A-πr²=πrl
 l=A-πr²/πr

 - Now, we must susbtitute l=A-πr²/πr, into the formula (2). Then, we have:

 h=√(l²+r²) 
 h=√[(A-πr²/πr)²+r²]

 A=395.64 m²
 π=3.14
 r=7

 4. When we substitute the values above into the formula h=√[(A-πr²/πr)²+r²], we obtain the slant height:
 
 h=√[(A-πr²/πr)²+r²]
 h=√170
 h=13 
<span>
 What is the slant height?

 The answer is: D.13</span>
6 0
3 years ago
What is the length of EF in the right triangle below?
vazorg [7]

Answer:

EF = \sqrt{120}

Step-by-step explanation:

Since this triangle is right, we can use the pythagorean theorem to find the missing side length. The pythagorean theorem states that the square of the hypotenuse(DE) is equal to the sum of the squares on the legs(DF, EF). We can write:

DE^2 = DF^2 + EF^2

and substitute the values:

17^2 = 13^3 + EF^2

289 = 169 + EF^2

EF^2 = 120

EF = \sqrt{120}

8 0
2 years ago
Read 2 more answers
Document shows question.
yulyashka [42]

Answer:

50

Step-by-step explanation:

4 0
2 years ago
Multipy (2x + 4 (x - 4) <br><br><br><br><br> Zzz
CaHeK987 [17]

Answer:

6x−16

Step-by-step explanation:

7 0
3 years ago
Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data c
slega [8]

The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>The data points </h3>

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

  • x represents years since 2000
  • y represents the annual revenue of a manufacturing company in thousand dollars

<h3>The function of the dataset</h3>

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x  + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>Why the function type was chosen?</h3>

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

Read more about quadratic regression equation at:

brainly.com/question/14786188

#SPJ1

5 0
2 years ago
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