Answer: A
Step-by-step explanation:
Because to find if proportional you need to divide
Answer:
- Length of diagonal 1: 8 meters
- Length of diagonal 2: 10 meters
Step-by-step explanation:
Let d1 be the first diagonal and d2 be the second diagonal.
Given
Area = 40 square meters
And one diagonal is 2 meter longer than other
![d_2 = d_1+2](https://tex.z-dn.net/?f=d_2%20%3D%20d_1%2B2)
The formula for area of kite is;
![Area = \frac{1}{2} * d_1 * d_2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20d_1%20%2A%20d_2)
Putting the known values
![40 = \frac{1}{2} * d_1 * (d_1+2)\\80 = (d_1)^2+2d_1\\d_1^2 +2d_1-80 = 0\\](https://tex.z-dn.net/?f=40%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20d_1%20%2A%20%28d_1%2B2%29%5C%5C80%20%3D%20%28d_1%29%5E2%2B2d_1%5C%5Cd_1%5E2%20%2B2d_1-80%20%3D%200%5C%5C)
The expression is a quadratic polynomial
Factorizing
![d_1^2 + 10d_1-8d_1-80 = 0\\d_1(d_1+10)-8(d_1+10) = 0\\(d_1+10)(d_1-8) = 0\\d_1 + 10 = 0\\d_1 = -10\\d_1-8 = 0\\d_1 = 8](https://tex.z-dn.net/?f=d_1%5E2%20%2B%2010d_1-8d_1-80%20%3D%200%5C%5Cd_1%28d_1%2B10%29-8%28d_1%2B10%29%20%3D%200%5C%5C%28d_1%2B10%29%28d_1-8%29%20%3D%200%5C%5Cd_1%20%2B%2010%20%3D%200%5C%5Cd_1%20%3D%20-10%5C%5Cd_1-8%20%3D%200%5C%5Cd_1%20%3D%208)
As the value of length cannot be negative so discarding the negative value
![d_1 = 8d_2 = d_1+2 = 8+2 =10](https://tex.z-dn.net/?f=d_1%20%3D%208d_2%20%3D%20d_1%2B2%20%3D%208%2B2%20%3D10)
Hence,
- Length of diagonal 1: 8 meters
- Length of diagonal 2: 10 meters
Answer:
2
Step-by-step explanation:
do 9 plus negative 5 then divide by 2 to get your answer
From the given above, we calculate for the total cycle time by adding up all the durations given for the yellow light, red light, and green. That is,
total time = 30 s + 10 s + 50 s = 90s
Hence, the total time is equal to 90 s. From this, we calculate for the probability that the first light that will be seen is a red light by dividing the duration of the red light in the cycle by the total time.
Probability = (30 seconds) / (90 seconds)
= 1/3
Therefore, the probability that the red light will be seen first is equal to 1/3. The answer is second choice.