Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
= 
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
= 
( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = 
≈ 14.7 m ( to 3 significant figures )
Answer:
4 days
Step-by-step explanation:
June starts on Monday
for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday
so we have 5 mondays and tuesdays
4 wed, thu, fri, sat, sun
Aliza played piano on june1 monday
So aliza played basketball on 5 tues + 4 thurs = 9 days
for calculating both basketball and paino
piano day should be on tuesday or thursday
from the below picture u can see pink dots are piano days
and yellow circles are both piano and basketball days
so on alternate weeks they are coinciding
so there are 4 days
Answer:
- 225°
- quadrant 3
- reference angle of 45°
Step-by-step explanation:
585-360= 225
225° is in quad 3
reference angle for quad 3 is
225° - 180°
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
Partitioning means to find the dividing point between two points.
This is done by prorating the difference in x- and y-coordinates, and adding to the first.
We will take the first point (from A to B) as A(16,8).
The difference is B-A, i.e.
(1,3)-(16,8) = (-15,-5)
2/5 of the difference is (2/5)*(-15,-5) = (-6,-2)
Add the difference to the first coordinates (point A) gives
Point of division = (16,8)+(-6,-2) = (16-6, 8-2) = (10,6)
