Answer: bus stop #2, by 6.5 minutes
Step-by-step explanation: Took the quiz on edge2020
13+(-12-(-5)
13+(-12+5)
13+(-7)
13-7=6
The equation for surface area of a sphere is SA=4*pi*r^2
We can plug in what we know to solve for r
400=4*pi*r^2
100=pi*r^2 (divide out the 4)
100/pi=r^2 (divide out the pi)
√(100/pi)=r (square root of both sides)
r=5.6 rounded to the nearest tenth
Answer:
Each steamer costs $2.5 and each party hat costs $1.5
Step-by-step explanation:
Let the cost of 1 steamer =x
Let the cost of 1 party hat =y
Three rolls of streamers and 15 party hats cost $30
Two rolls of streamers and four party hats for $11.
We solve the two equations simultaneously.
Multiply equation 1 by 2 and equation 2 by 3
6x+30y=60
6x+12y=33
Suntract
18y=27
y=1.5
From 6x+30y=60
6x+30(1.5)=60
6x+45=60
6x=60-45=15
x=2.5
Since x=2.5 and y=1.5
Each steamer costs $2.5 and each party hat costs $1.5
Using the
solver function of the calculator, we can find the roots of the polynomial.
x1
= 9.72484
x2 = −5.36242+8.74882i
x3 = −5.36242−8.74882i
<span>
Since
dimension cannot be imaginary, therefore the height of the cylindrical hole is
9.72 mm.
Calculating
for radius r:
r
= 9.72 mm – 8 mm
r
= 1.72 mm
The
volume of cylinder is given as:
V
= π r^2 h
V
= π (1.72)^2 (9.72)
<span>V
= 90.34 mm^3</span></span>
