Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions.) The word unique in this context means there is a solution, and it's the only one.
The total amount that was raised for charity is £75.
<h3>What is the total amount raised?</h3>
Here is the sample space
1 2 3 4 5 6
Heads 1 4 9 16 25 36
Tails 1 8 27 64 125 216
Probability of getting a number greater than 30 = 4/12 = 1/3
1/3 x 450 = 150
Total value of people getting more than 30 : 150 x £1 = £150
Total amount paid = 50 x 450 = £225
Amount raised = £225 - 150 = £75
To learn more about probability, please check: brainly.com/question/13234031
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This strategy works because you would want to make sure that the two numbers add up to the number you subtracted it from. Hope this helped and have an awesome day!
Answer:
25.6 ft
Step-by-step explanation:
Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.
But you can use trigonometry.
The broken tee and trunk form a right triangle with the ground.
The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.
So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.
You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).
Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:
h+=+10%2FSin%2840%29
h+=+10%2F0.643
h+=+15.6ft.
Now add this to the 10-ft stump:
10+15.6 = 25.6 ft.
The tree was 25.6 ft originally.