I need help with these questions(see image). Please show workings.
2 answers:
Answer:
see explanation
Step-by-step explanation:
(a)
The angle around the centre O of the circle = 360°, then
∠ AOB = 360° - 260° = 100°
Δ AOB is isosceles ( the radii OA and OB are congruent )
The altitude from O bisects ∠ AOB , thus
y = 50°
Since the triangle is isosceles the 2 base angles are congruent, so
x = =
= 40°
(b)
∠ POR = 360° - 254° = 106°
Δ POR is isosceles (the radii OP and OR are congruent ) , then
the 2 base angles are congruent , thus
a = =
= 37°
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Answer:
b. One in Five
Step-by-step explanation:
To calculate probability, we need to know the formula:
in this case the probability is given in its decimal form, which is = 0.20
∴ to be able to use our formula easily, we will need to convert the probability to its fraction form.
which is 0.20 = (<em> to do this, just simply put a 1 under the decimal point and replace the remaining values of 20 with zeroes)</em>
reducing to its simplest form gives
.
Hence, relating it to our formula, we can see that the number of possible out comes is = 1
and the total number of outcomes = 5.
This means that the probability that the order will execute before the same of closing is the same as 1 in 5