Answer:
252 ft squared
Step-by-step explanation:
Since the radius of the circle is 3, then the diameter would be 6
Split the rectangle into 3
The way I split the shape is like the picture attached (with the blue lines).
Find the area of each rectangle which can be easily found by using the diameter of each circle (picture attached with black lines)
6*18=108
6*12=72
6*12=72
Add the areas of each rectangle.
108+72+72=252
1 mile is equal to 5280 feet.
5/5 - 2/5 = 3/5 of a mile left to walk
3/5m * 5280 ft/1m = (3m*5280ft)/(5*1m) = 15840ft/5 = 3158 feet left to walk to get to work.
Or
5280 feet / 5 = 1056 ft * 2 = 2112 ft walked to get to work
5280 - 2112 = 3168 feet left to walk to get to work.
Answer:
The square root of x will be evaluated first before the addition of 5. Hence (-3)^2 = 9 and 9 +5 = 14, as per your teacher's answer, which is correct. The answer would not be -4.
Answer:
0.0159
Step-by-step explanation:
Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight.
Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)
The plane is overbooked if more than 150 show up
i.e. less than 2 do not show up
Hence the probability that the airline overbooked this flight
=
Answer:
Area A = 12 = 1/2 × x × (5x-2)
5x^2 - 2x -24 = 0
Solution;
Base x = 2.4
Height h = 10 ft
Step-by-step explanation:
Given;
base of the triangle is x feet;
Base = x
The height of a triangle is 2 less than 5 times it's base;
Height = 5x - 2
the area of the triangle is 12 square feet;
Area A = 12 ft^2
The area of a triangle is;
Area A = 1/2 × base × height
Substituting the base and height;;
Area A = 1/2 × x × (5x-2)
Area A = 1/2 × (5x^2 - 2x)
Area A = 12
12 = 1/2 × (5x^2 - 2x)
Multiply through by 2.
24 = (5x^2 - 2x)
5x^2 - 2x -24 = 0
Solving the simultaneous equation;
x = 2.4 or -2
Since the base cannot be negative;
x = 2.4 ft
Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft
Base x = 2.4
Height h = 10 ft
