Option three is correct one
Answer:
see below
Step-by-step explanation:
<em><u>sin(a+b) = sin(a)cos(b) + cos(a)sin(b)</u></em>
sin(π+q) = sin(π)cos(q) + cos(π)sin(q)
sin(π) = 0
cos(π) = -1
therefore
sin(π+q) = 0*cos(q) -sin(q) = -sin(q)
Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
Y equals 48 because it’s a rise of 1 over 4
Answer:
= 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, since the order in which the students are chosen is important, the permutations formula is used to solve it.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
Desired outcomes:
Drake then Todd, so only one outcome, which means that 
Total outcomes:
Two students from a set of 16, so:
What is the probability that the first 2 presentations will be by Drake and Todd, in that order?
= 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
