Answer:
140 routes
Total Number of roads from allen to dodge through baker and Carlson is 140 routes.
Step-by-step explanation:
Given;
Number of roads from Allen to baker = 5
Number of roads from baker to Carlson = 7
Number of roads from Carlson to dodge = 4
Total Number of routes from allen to dodge through baker and Carlson is;
N = 5×7×4
N = 140 routes
Since this is in the Mathematics subject my best answer would be Rational.
Domain values represent possible x values that are allowed to be plugged in and produce a y value. The values (in this case value) that are not allowed to be plugged in are what make the denominator zero (since you cannot divide by zero). Simply set the denominator equal to zero to figure out this value.
3x + 8 = 0
3x = -8
x= -8/3, this value is not in the domain.
Answer:
<h3>B = 48.7° , C = 61.3° , b = 12</h3>
Step-by-step explanation:
In order to find B we must first angle C
To find angle C we use the sine rule
That's

From the question
a = 15
A = 70°
c = 14
So we have



C = 61.288
<h3>C = 61.3° to the nearest tenth</h3>
Since we've found C we can use it to find B.
Angles in a triangle add up to 180°
To find B add A and C and subtract it from 180°
That's
A + B + C = 180
B = 180 - A - C
B = 180 - 70 - 61.3
<h3>B = 48.7° to the nearest tenth</h3>
To find b we can use the sine rule
That's



b = 11.9921
<h3>b = 12.0 to the nearest tenth</h3>
Hope this helps you
Answer:
168
Step-by-step explanation:
Multiply 21 by 8 so
21 × 8 = 168