Answer:
x ≈ 27.86
Step-by-step explanation:
Supplement means 180 degrees.
7x - 15 = 180
~Add 15 to both sides
7x = 195
~Divide 7 to both sides
x ≈ 27.86
Best of Luck!
Answer:
9/5
Step-by-step explanation:
y=∣x−1∣={
1−x
x−1
x<1
x≥1
}
Similarly y=3−∣x∣={
3+x
3−x
x<0
x≥0
}
The required region is a rectangle with length 2
2
and breadth
2
.
Hence, the area is 4. Hence, all the options are correct
X^2+(y-2)^2=4 is a circle centered at (0,2) with radius 2.
Thus, when you rotate it around the y-axis (around x=0),
you get a sphere with radius 2.
((which is centered at (x,y,z)=(0,2,0), if you take y to be
the vertical axis ... not that you need to know this for volume))
--------------------------------------------------------------
Volume of a sphere formula: V = (4/3)πr^3.
In order to fit only 2 recorders in each box, the teacher will need a total of 12 boxes. She will need 8 more boxes than the amount she currently has.
