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Over [174]
2 years ago
15

Washington is 44 miles south of Lawrence. and midland is 63 miles east of Lawrence. how far apart are Washington and midland?

Mathematics
1 answer:
gregori [183]2 years ago
3 0
The answer is 21 miles
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A water mill grinds corn to make cornmeal. The water wheel has a radius of 18 feet. The wheel is rotating at 8 revolutions per m
Genrish500 [490]

Answer:

904.9 feet per minute

Step-by-step explanation:

The Angular distance can be calculated using below expression

S= r θ ..............eqn(1)

Where

θ = angular distance travelled

r= Radius= radius of 18 feet

But angular distance can also be expressed as

θ = wt...................eqn(2)

w= angular speed= 8 rev per minute= (8 × 2π)

t= time

Velocity can also be expressed as

V= s/t............eqn(3)

Where

V= velocity

s= distance

t= time

Substitute eqn(2) into eqn(3)

V=( r θ)/ t................eqn(4)

Substitute eqn(2) into eqn(4)

V=( r w t)/ t

V= r w ..............eqn(5)

V= 18×(8 ×2π)

=288π

= 904.9 feet per minute

Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute

6 0
2 years ago
comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or
ella [17]
Let a set of n elements. 
We can find n! (factorial) of the n element. 
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2 years ago
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Point G is on segment FH such that it partitions segment FH into a ratio of 2:3.Point F is located at (5, 7) and point H is loca
Margarita [4]

Answer:

G = (9.4, 9,4)

Step-by-step explanation:

The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH

x-distance:

x2 - x1 = 16 - 5 = 11

11/5 = 2.2

y-distance:

y2 - y1 = 13 - 7 = 6

6/5 = 1.2

Point G = Point F + (2.2*2, 1.2*2)

Point G = (5, 7) + (4.4, 2.4)

= (9.4, 9.4)

8 0
2 years ago
How many terms are present in the expression (2 + 5 + 8)? A). 1. B). 2. C). 3. D). 15.
Arlecino [84]
In this specific problem each term is separated by an addition sign , so you have a total of 3 terms . The correct answer is " C."<span />
4 0
2 years ago
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A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39).
likoan [24]
To solve this problem you must apply the proccedure shown below:
 1. You have that the hyperbola <span>has a vertex at (0,36) and a focus at (0,39).
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 a=36
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 3. When you susbtitute the values of a^2 and c into </span>y=a^2/c, you obtain:
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 4. When you simplify:

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 Therefore, the answer is: </span><span>y = ±432/13</span>
4 0
2 years ago
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