Ok Ben runs at 7 metres per second. He runs 210 metres. How long does it take him?
1 answer:
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Answer:
perimeter = 28.68 cm
area = 15.48 cm^2
Step-by-step explanation:
1. complete the angles in the triangle. sum of all the angles in a triangle is 180 degrees.
therefore 180 - (60 +45) = 75
angle at B is 75 degrees
2. find the sides of the triangle using the sine formula for triangle
sin A/a = sin B/b = sin C/c
we have the angle at C and the side opposite C is also give, we can use that with any other
3. sin A/a = sin C/c
sin 60/a = sin 45/8
make a subject
a = 9.78 cm
4. sin A/a = sin B/b
sin 60/9.78 = sin 75/b
make b subject
b = 10.90 cm
with the three sides, we know that perimeter is the length around an object
adding all the lengths together will give the perimeter
perimeter = 10.90 + 8 + 9.78
= 28.68 cm
5. to find the area we need to find the high of the triangle since the expression for the area of a triangle is
6. bisecting the side BC will give have as 4.89 cm
7. using Pythagoras theorem we can find the height of the traingle
c^2 = a^2 + b^2
8^2=(4.89)^2 + b^2
64 - 23.9121 = b^2
b=
b =6.33 cm
insert this into the formula above will give the value for area
which is 15.48 cm^2
area = 1/2 (4.89)(6.33)
Given:
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
To find:
The theoretical and experimental probabilities of the coin landing tails up and compare them.
Solution:
We know that, the coin landed either heads up or tails up. So, the theoretical probabilities of the coin landing tails up is
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
Total = 80
Tails =36
The experimental probabilities of the coin landing tails up is
Therefore, the theoretical and experimental probabilities of the coin landing tails up are 0.5 and 0.45 respectively. The theoretical probability is greater than the experimental probability.
we have
to find the solution let's factor the equation
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
the answer is
the solutions of the equation are