Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Answer:
<em>The distance from Bayfield County to Dodge County is 974 miles.</em>
Step-by-step explanation:
Definition of equidistant: equal distance.
Bayfield Marathon Dodge
+---------------------------------------------+---------------------------------------------+
487 miles 487 miles
The three centers of the counties lie along a straight line. Since Marathon County is equidistant from Bayfield County and Dodge County, then Marathon County is exactly at the midpoint of the segment from Bayfield County to Dodge County. The distances from Bayfield County to Dodge County and from Marathon County to Dodge County are equal. The distance from Bayfield County to Dodge County is
distance = 487 miles + 487 miles = 974 miles
Answer:
1. Dave worked for 34 hours.
2. Perimeter of the rectangle is 172 cm.
Step-by-step explanation:
1. Determination of the hours Dave worked.
Let D represent Dave.
Let M represent Mike.
Let J represent John.
Tota time worked by Dave, Mike and John is 56 hours. This can be written as:
D + M + J = 56 ..... (1)
Dave worked 6 more than 4 times as many hours as Mike. This can written as:
D = 6 + 4M .....(2)
John worked 6 less than 3 times as many hours as Mike. This can be written as:
J = 3M – 6 ........ (3)
Substituting the value of F and J into equation 1, we have:
D + M + J = 56
D = 6 + 4M
J = 3M – 6
6 + 4M + M + 3M – 6 = 56
6 – 6 + 4M + M + 3M = 56
8M = 56
Divide both side by 8
M = 56/8
M = 7
Substitute the value of M into equation (2) to obtain the value of D.
D = 6 + 4M
M = 7
D = 6 + 4(7)
D = 6 + 28
D = 34
Therefore, Dave worked for 34 hours .
2. Determination of the perimeter.
Length (L) = 64 cm
Width (W) = 22 cm
Perimeter (P) =?
P = 2(L + W)
P = 2 (64 + 22)
P = 2 (86)
P = 172 cm
Therefore, the perimeter of the rectangle is 172 cm
Answer:a) a=22, b=11
b) m=7
, n= 
Step-by-step explanation:
You should use trigonometry ratios as required and then you should use pythagoras theorem
In a) cosine(30°)= base/hypotenuse,
where 11√3 is the base
"a" is hypotenuse and
"b" is perpendicular
from this you can find the value of perpendicular then you should use pythagoras theorem to find the value of hypotenuse
pythagoras theorem is
base²+perpendicular²= hypotenuse²
Same is applied on (b) right triangle as, sine(45°)=perpendicular/hypotenuse
Answer:
Step-by-step explanation:
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