Answer:
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Step-by-step explanation:
Let us represent:
Cost of 1 CD = x
Cost of 1 DVD = y
i. Form a pair of simultaneous equations to represent these two sentences
2 CDs and 9 DVDs cost £69.
2x + 9y = 69.... Equation 1
2 CDs and 6 DVDs cost £48.
2x + 6y = 48..... Equation 2
ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Combining both equations together:
2x + 9y = 69.... Equation 1
2x + 6y = 48..... Equation 2
We substract Equation 2 from Equation 1
3y = 21
y = £7
Solving for x using Equation 1
2x + 9y = 69.... Equation 1
2x + 9 × 7 = 69
2x + 63 = 69
Collect like terms
2x = 69 - 63
2x = 6
x = 6/2
x = £3
Therefore,
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Answer:
The decimal is not a rational number.
REASON:
A decimal can be a rational number if it fulfills any of the two conditions.
It must be Terminating. This means that the decimal should have finite number of digits.
If it is non-terminating decimal it should be Recurring. This means the decimal should repeat itself after some specific digits.
Answer:
1. Sine A = 3/5
2. Cos A = 4/5
3. Tan A = 3/4
4. Sine B = 4/5
5. Cos B = 3/5
6. Tan B = 4/3
Step-by-step explanation:
1. Determination of Sine A
Opposite = 3 in
Hypothenus = 5 in
Sine A =?
Sine A = opposite / Hypothenus
Sine A = 3/5
2. Determination of Cos A
Adjacent = 4 in
Hypothenus = 5 in
Cos A =?
Cos A = Adjacent / Hypothenus
Cos A = 4/5
3. Determination of Tan A
Opposite = 3 in
Adjacent = 4 in
Tan A =?
Tan A = opposite / Adjacent
Tan A = 3/4
4. Determination of Sine B
Opposite = 4 in
Hypothenus = 5 in
Sine B =?
Sine B = Opposite / Hypothenus
Sine B = 4/5
5. Determination of Cos B
Adjacent = 3 in
Hypothenus = 5 in
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 3/5
6. Determination of Tan B
Opposite = 4 in
Adjacent = 3 in
Tan B =?
Tan B = opposite / Adjacent
Tan B = 4/3
Answer:
306.36
Step-by-step explanation:
