Answer:
243
Step-by-step explanation:
If there is one question that has three choices a1, a2, and a3, then there will be 3 i.e. 3¹ different ways of answering which are a1 or a2 or a3.
If there are two questions that have answer choices a1, a2, a3 and b1, b2, b3 then there will be 9 i.e. 3² different ways of answering which are a1-b1, a1-b2, a1-b3, a2-b1, a2-b2, a2-b3, a3-b1, a3-b2, and a3-b3.
Similarly, when there are 5 questions that have three choices each, then there will be 3⁵ i.e. 243 ways of answering options. (Answer)
Answer: The answer is 9
Step-by-step explanation:
3p + 6 = 5p − 12
3(9) + 6 = 5(9) − 12
27 + 6 = 45 − 12
33 = 33
Answer:
A ≈ 12.57
Step-by-step explanation:
You have to take the formula: A = πr^2
1) Plug in what you know: A = π•2^2
2) π = 3.14 and 2^2 = 4
3) Multiply to get: 12.56637
4) Round
A ≈ 12.57
Answer:
∠Q = 53.13 degrees
Step-by-step explanation:
Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle
Hence using the notation
SOH CAH TOA
where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides
Considering ∠Q and the given sides
PR=16cm is the opposite side,
PQ= 12 cm is the adjacent side hence we use TOA
Tan Q = 16/12 =
Q = Arc tan 16/12
= 53.13 degrees