Answer: A = ≈28.55 cm²
Step-by-step explanation:
It is drawn as if it should be a triangle minus a rectangle with an area of
½(10)(13) - (7)(6) = 23 cm²
However it is not to scale.
The angle on the right side is
θ = arctan10/13 = 37.56859...°
Meaning the right triangle has a height of
h = 4tan37.56859 = 3.07692 cm
So the right triangle has an area of
Ar = ½(3.07692)(4) = 6.15384... cm²
The left hand side consists of a triangle over a rectangle
The height of the triangle is 4, the base is is 4/tan37.56859 = 5.2 cm
so the left area is
(2)(6) + ½(5.2)(4) = 22.4 cm²
So the sum of the areas of the two enclosed shapes is
A = 22.4 + 6.15384... = 28.55384... ≈28.55 cm²
80(miles) x 52(weeks in a year) = 4160(miles in a year)
4160 / 4(tunes in a year) = 1040(miles to go before a tune)
Now for Christine
100(miles) x 52(weeks in a year) = 5200(miles in a year)
5200 / 1040(miles to go before a tune) = 5(tunes in a year)
Answer C. 5
No, it does not and it's not supposed to. A trend line is drawn to go through in the best way possible, to go through the "center" of the points as best as it can. It may hit some of the points, but not all of them. Generally, the idea is to try to get the trend line to have as many points "above" it as it does "below" it to say you've gone through them evenly.
Answer:
62.000124 in. cubed
Step-by-step explanation:
cm to inches: 0.3937007874 to 1
the side edges are 3.937007874
Since it's a square pryramid, all of the side lengths are equal. 3.937007874^2 is 15.500031.
The formula for a pyramid: base*height/3
15.500031*12/3 = 62.000124 in. cubed
Answer:
600 ft
Step-by-step explanation:
Alice's Average Speed=280 ft/min
Dave's Average Speed=320 ft/min.
Distance = Average Speed X Time
In 1 minute, their distances from their starting point is determined below.
Alice's Distance=280 X 1=280ft
Dave's Distance= 320 X 1=320ft
Since they walk in opposite direction, their distance from each other will be the sum of their distances from the starting point.
Distance of Alice from Dave=280+320=600 ft
In 1 minute, they were 600 ft apart.