Answer:
24,26,28
Step-by-step explanation:
78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers
Answer:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Step-by-step explanation:
This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:

Given that resulting expression is a second order polynomial of the form
, there are two real and distinct solutions. Roots of the expression are:
and
.
Now, it is also required to determine which part of the interval
is equal to a number greater than zero (positive). That is:


and
.
Therefore, exists two sub-intervals:
and
. Besides,
in each sub-interval. The definite integral of the region between the two curves over the x-axis is:




The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Answer:
25.25
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
The angle formed by the two chords is (180 -x)
We need to find x first
x = 1/2 (54+204)
x = 129
The angle formed by the two chords is (180 -129) = 51
51 = 1/2 ( z+3z+1)
Multiply by 2
102 = 4z+1
101 = 4x
Divide by 4
101/4 = z
25.25 =z
Slimination
multiply first equaiton by 2
2x+6y=10
add to second equiaotn
2x-2x+6y-6y=10-10
0=0
this is true so therfor they are the same equaiton
so solve
x+3y=5
3y=-x+5
y=-1/3x+5/3
subsituter values for x and get valuse for y
if x=2 then y=1
27.5 / 3.5 = 7.86; The average yearly snowfall was 7.86 inches.