Given:
circular pool with a diameter of 25 meters.
find: area of the bottom of the pool.
It is safe to assume that the diameter of the pool is the same from the top of the pool to the bottom of the pool.
Area of a circle = π r²
where:
π = 3.14
r = diameter / 2 = 25 meters / 2= 12.5 meters
Area of a circle = 3.14 * (12.5m)²
= 3.14 * 156.25 m²
Area of a circle = 490.625 m²
490.625 m² round to the nearest tenth is 490.60 m²
We round down because the number after 6 is 2. Whenever a number to be rounded off is followed by 0,1,2,3,and 4. Then, the number is rounded down.
The probability that the team will win the sport is 77%.
Given that an area kicker in pro football incorporates a 77% probability of creating a field goal over 40 yards and every attempt field goal is independent.
Probability is how something is likely to happen. The probability of a happening is calculated by the probability formula by simply dividing the favorable number of outcomes by the overall number of possible outcomes.
So, his team will win the sport if he makes a goal otherwise loses.
Therefore, the Probability that his team will win the sport P[E] =P[making a field goal]
P[E]=77%
Hence, the probability that the team will win the sport when making a field goal is 77%.
Learn more about probability from here brainly.com/question/993963
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Answer:
Her speed on the summit was 35 mph.
Step-by-step explanation:
Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:
time uphill = distance uphill / speed uphill = 55 / (x - 10)
time summit = distance summit / speed summit = 28 / x
total time = time uphill + time summit
3 = [55 / (x - 10)] + 28 / x
3 = [55*x + 28*(x - 10)]/[x*(x - 10)]
3*x*(x - 10) = 55*x + 28*x - 280
3x² - 30*x = 83*x - 280
3x² - 113*x + 280 = 0
x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph
x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph
Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.
x+4
___________
(x+2)|(x^2+6x+9)
-x^2-2x
__________
4x+9
-4x-8
__________
1
so the quotient is:
(x+2)(x+4)+1/(x+2)
