Answer:
1/9
Step-by-step explanation:
probability of rolling a 6 = 1/6
probability of rolling a number less than 5 = 4/6
1/6 x 4/6 = 4/36 = 1/9
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the required perimeters are 26 inch, 48 inch, 34 inch and 64 inch respectively.
<h3>What is the perimeter?</h3>
Perimeter, is the measure of the figure on its circumference.
1. perimeter for a cross section parallel to base of right rectangular prisms that is 10 inches long, 3 inches wide and 14 inches high:
length = 10 inches and width = 3 inch
The perimeter of that cross section is given by.
= 2 x length + 2 x width
= 2 x 10 + 2 x 3
= 20 + 6
= 26 inches
2. perimeter of cross section perpendicular to the base of a cube with 12 inch edge is given by.
= 4 x length
= 4 x 12
= 48 inches
3. perimeter of a cross section perpendicular to the base and passing through the diagonal of the base the right rectangle is given by.
length = 5; width = 12; height = 4; diagonal = 13;
perimeter = 2 x height + 2 x diagonal
= 2 x 4 + 2 x 13
= 34 inches
4. perimeter of a cross section of a cube having edges of 16 inches each.
perimeter = 4 x edge
= 4 x 16
= 64
Thus, The required perimeter of the cross section are 26, 48, 34, 64 all in inches.
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Since the triangles are congruent, m<ACB = m<CAD = 2x + 8
m<B = m<D = 3x
m<CAB + m<B + m<ACB = 180
37 + 3x + 2x + 8 = 180
5x + 45 = 180
5x = 135
x = 27
m<CBA = m<B = 3x = 3(27) = 81
m<CBA = 81 deg
Option 3: is the right answer
Step-by-step explanation:
Given expression is:
In order to simplify the expression we have to convert the radicals in exponents
As he base is same, the powers can be added
Hence,
Option 3: is the right answer
Keywords: Exponents, radicals
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<u><em>Answer: </em></u>12.75
<em><u>Explanation-</u></em>
Add them all together and divide by how many numbers there are. Hope this helped!!!