Answer:Richard is 20 and Teo is 8
Step-by-step explanation: I attached a picture of the process I followed to solve. Hope this helps!
Answer:
36¢ per pound
Step-by-step explanation:
In 1995, the price per pound was ...
($24.7 million)/(15 million lb) = $1.6467/lb
In 2000, the price per pound was ...
($31,297,583)/(15,616,728 lb) = $2.0041/lb
The difference was ...
$2.0041 -1.6467 = $0.3574 ≈ 36¢ . . . per pound
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In a calculation such as this, you want to keep enough significant digits so that you can appropriately round the final answer. Here, the result would be different if intermediate values were rounded to whole cents.
Is there supposed to be a picture??
Answer:
1 in : 50 mi . . . or . . . 1 : 3,168,000
Step-by-step explanation:
Dividing the areas by 10, you get 1 square inch corresponding to 2500 square miles. Those areas are equivalent to 1 inch square and 50 miles square. Hence the scale factor is 1 inch : 50 miles.
Sometimes map scales are expressed as a dimensionless ratio. The number of inches in 50 miles is
... (50 mi)×(5280 ft/mi)×(12 in/ft) = 3,168,000 in
so, the map scale can be expressed as 1 : 3,168,000.
Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
