Answer:
$0.42
Step-by-step explanation:
create a proportion:
13/.78 = 7/x
cross-multiply to get:
13x = 7(.78)
13x = 5.46
x = 5.46/13
x = .42
Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³
Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes
The factorization of the numbers is obtained as
(a) 36 = 2² x 3²,
(b) 60 = 2² x 3 x 5,
(c) 84 = 2² x 3 x 7,
(d) 99 = 3² x 11 and
(d) 180 = 2² x 3² x 5
<h3>Factor of the numbers</h3>
To factorize the numbers we use their factors as show below;
<h3>Factors of 36</h3>
36 = 2² x 3²
<h3>Factors of 60</h3>
60 = 2² x 3 x 5
<h3>Factors of 84</h3>
84 = 2² x 3 x 7
<h3>Factors of 99</h3>
99 = 3² x 11
<h3>Factors of 180</h3>
180 = 2² x 3² x 5
Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.
Learn more about factorization here: brainly.com/question/25829061
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Answer:
x = 60°
Step-by-step explanation:
since, the triangles are complementary the sum of their measures will be 90°
now,
Answer:
B) x = (-3/5)y + 3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
first, subtract 3y from btoh sides:
5x + 3y (-3y) = 15 (-3y)
5x = -3y + 15
Next, divide 5 from both sides:
(5x)/5 = (-3y +15)/5
x = (-3/5)y + 3
B) x = (-3/5)y + 3 is your answer.
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