Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?
1 answer:
Answer:
They won £117 in total.
Step-by-step explanation:
There are two methods to solve the question.
- Finding the total amount directly
- Finding Dan's share and adding it to Colin's share
It is given that the ratio is 4:5
Let x be the share of Dan
The ratio between Colin and Dan's share will be 52/x and it should simplify to 4/5
The total amount will be:
Hence,
They won £117 in total.
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Answer:
Step-by-step explanation:
To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.
is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.
We can use Pythagorean's Theorem to find the hypotenuse (let represent the length of the hypotenuse):
Thus, we know the adjacent is 10, and the hypotenuse is . This means
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Hope this helps!
Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is
Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
