In centre is the centre of a circle that is inscribed in a triangle, called the incircle, i.e. circle is tangent to all three sides AND located inside the triangle. An incircle is roughly sketched in the accompanying diagram.
Since all radii of an incircle are equal, we have
4x-1=6x-5
Solving for x,
6x-4x=5-1
x=2
consequently, distance from incentre to each side of the triangle is
4(2)-1=7
check 6x-5=6(2)-5=7... checks.
Answers:
The value of x = 2
The distance from incentre to side of triangle is 7
Answer:
Answer - a) 1:80
b) 1:80
Step-by-step explanation:
All the ratio should be written in lowest form. these are the answers for both the questions.
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The probability that a 2 or 3 is rolled at least once is 0.14.
<h3>
Probability of not rolling a 2 or 3 in a single die roll of two dice</h3>
when a six die is rolled once there is 11/12 probability of not rolling 2 or 3.
rolling a six sided die two times, p(2 or 3)' = 11/12
rolling a six sided die four times, p(2 or 3)' = (11/12)² = 121/144
the probability that a 2 or 3 is rolled at least once is calculated as follows;
P = 1 - p(2 or 3)'
P = 1 - 121/144
P = 20/144
P = 0.14
Thus, the probability that a 2 or 3 is rolled at least once is 0.14.
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Answer:
The ratios are both identical. (4 over 5 and 4 over 5)
Step-by-step explanation:
Th picture below represent the image you are referring.
sin x = opposite / hypotenuse
opposite side = 4
hypotenuse = 5
sin x° = 4/5
cos y° = adjacent/hypotenuse
adjacent = 4
hypotenuse = 5
cos y° = 4/5
The ratios are both identical (4 over 5 and 4 over 5)