Answer:
11.45mm^2
Step-by-step explanation:
Given data
Circumference= 12mm
The expression for the circumference is
C= 2πr
12= 2*3.14*r
12= 6.28r
r= 12/6.28
r= 1.91mm
Hence the area of each small circle is
A= πr^2
A= 3.14*1.91^2
A= 3.14*3.6481
A=11.45mm^2
Well since you dont have the graphs posted i can tell u the y-intercept and the slope and you can figure it out from there.
8x-y=-4
-y=-8x-4
y=8x+4
the y intercept is 4 and the slope is positive 8
If number of nickel = n
number of dimes = 3n
number of quarters = 2n
Amount of nickel = 5n
Amount of dimes = 30n
Amount of quaters = 50n
Total Amount = <span>5n + 30n + 50n = 510
In short, Your Answer would be Option C
Hope this helps!</span>
Answer:
x = -5 y = -3
Step-by-step explanation:
-3x + 2y = 9
multiply the 2nd equation by 3 to set it up for elimination
3(x - 3y)= 3(4)
3x-9y = 12
so now combine both to add
-3x + 2y = 9
3x - 9y = 12
Adding both gives you
-7y = 21
divide both by -7 and you get
y = -3
and you substitute y back into equation to get x
x - 3 (-3) = 4 gives you
x + 9 = 4
x = 4 - 9
x = -5
Answer: option d. the argument is valid by the law of detachment.
The law of detachment consists in make a conlcusion in this way:
Premise 1) a => b
Premise 2) a is true
Conclusion: Then, b is true
Note: the order of the premises 1 and 2 does not modifiy the argument.
IN this case:
Premise 1) angle > 90 => obtuse
Premise 2) angle = 102 [i.e. it is true that angle > 90]]
Conclusion: it is true that angle is obtuse
