Answer:
y=-3x+8
Step-by-step explanation:
Given:
Triangle
height 14 inches
area 245 inches square
Formula in finding the area of a triangle is:
Area = (height * base) / 2
The base is missing, so we need to compute its value using the given figures.
245 = (14 * b) / 2
245 * 2 = 14b
490 = 14b
490/14 = b
35 = b
The base is 35 inches.
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Define length and width
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Let x be the width
width = x
Length = 2x + 4
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Formula
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Perimeter = 2(length + width)
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Find Length and width
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62 = 2(2x + 4 + x)
62 = 2(3x + 4) <em> ← combine like terms </em>
62 = 6x + 8 <em>← remove bracket </em>
62 - 8 = 6x <em>← minus 8 on both sides </em>
6x = 54 <em> ← swap sides </em>
x = 54 ÷ 6 <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>
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Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m
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Answer: Length = 22m
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Answer:
Part (a)
36
Part (b)
Find the filled table in the attachment
Part (c)
1/36
Step-by-step explanation:
The total number of possible outcomes using the multiplicative rule is given by;
6*6 = 36.
There are 6 possible outcomes in rolling each die, we simply find the product.
The probability of rolling double sixes is given by;
pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36
The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.