3(4x +12)=180
12x + 36 =180
-36. -36
180-36= 144
12x = 144
——. ——-
12. 12
X = 12
We know that
surface area=area of the base+4*[area of one lateral triangle side]
area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²
area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height
h=15 cm
area of one lateral triangle side=14*15/2----> 105 cm²
surface area=196+4*[105]------> 616 cm²
the answer is
the surface area is 616 cm²
The domain of the third piece of the graph is contained in interval <u>B. (12, 20)</u>.
<h3>What is the domain of a graph?</h3>
The domain of a graph consists of all the input values shown on the x-axis.
The input values (domain) are shown on the x-axis, unlike the range, whose output values are shown on the y-axis.
Therefore, the domain comprises the independent variables or values, which can be determined using the function, y = f(x).
Thus, the domain of the third piece of the graph can be determined in interval <u>B. (12, 20)</u>.
Learn more about domain and range at brainly.com/question/10197594 and brainly.com/question/2264373
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The domain of g(x) is [4, 7)
<h3>How to determine the domain of g(x)?</h3>
The function is given as:
g(x) = f(x + 3)
Since f(x) is a function, then g(x) is also a function
The domain of f(x) is given as:
[1, 4)
The equivalent of these values in g(x) are
x = 1 + 3 = 4
x = 4 + 3 = 7
Hence, the domain of g(x) is [4, 7)
Read more about domain at
brainly.com/question/1770447
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