X = first integer, y = second integer (right after x)
since y is right after x, we can say
y = x+1
If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6
The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6
If x = 6, then
y = x+1
y = 6+1
y = 7
The two consecutive numbers are 6 and 7
The final answer is 6
Sure enough, 6*7 = 42 checks out
The value of x in the figure is 9.72
<h3>How to determine the value of x?</h3>
The given shape is a triangle, and the value of x can be calculated using the following laws of cosine
a^2 = b^2 + c^2 - 2bc * cos(a)
So, the equation becomes
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * cos(44)
Evaluate the value of cos(44)
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * 0.7193
Evaluate the product
x^2 = 296 - 201.404
Evaluate the difference
x^2 = 94.596
Evaluate the exponent
x = 9.72
Hence, the value of x in the figure is 9.72
Read more about laws of cosine at
brainly.com/question/4372174
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Answer:
Sample space= 1, 2, 3, 4, 5, 6
Outcomes= 2, 4, 6
Probability= Number of outcomes/ total number of outcomes
= 3/6 times 2( as 2 dices are rolled)
=6/12
=1/2
Therefore, the probability of getting 2 even number is 1/2
Answer:
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Step-by-step explanation:
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