Slant height is about 8.544.
Lateral area is about 96.93.
Surface area is about 144.93.
Volume is 96^3.
Answer: Problem 3: 20 laps per day,
Inequality: x >=20 per day
Problem 4: minimum of 8 employees
Step-by-step explanation:
Given that the goal is 600 laps in a month
And a month contains 30days, to achieve 600 laps, we divide 600 laps by 30 days
= 600/30= 20
Reem needs to swim a minimum of 20 laps per day to achieve her goal.
Inequality: x should be greater than or equal to 20 laps daily.
x >= 20
Problem 4:
Given that each employee can paint 85square feet per hour
The building has 1360 square feet and to be completed in two hours
Number of employees to complete the job in one hourwill be 1360/85 = 16
If 16 employees will complete 1360 per hour, then 8 employees will complete the work in 2 hours.
Ok assuming that when he buys the fabric, he cuts pieces off to make it fit, but doesn't sow them in other places to make up the lost area
so
first find the area of tablecloth he needs to buy
area=pir^2
diameter=32
d=2r
r=d/2
r=32/2=16
adds 5 inches extra
16+5=21
r=21
area of cloth=pi21^2
are of cloth=441pi
aprox pi=3.14
area=441 tmes 3.14
area=1384.74
buys cloth with width of 50 and legnth of x
so we need 2 things
1. area of cloth bought>area of tablecloth
2. legnth &width must both be greater or equal to the diameter of the tablecloth (so we can make a circle fit)
new diameter=32+5+5=42 (2 sides)
so
l and w must both be greater than or equal to 42
50l>1384.74
divide both sides by 50 to find legnth
l>27.6948
but the legnth must be also greater than or equal to 42
so make l=42 for min legnth
area of cloth bought=lw=42 by 50=42 times 50=2100
so we do
area wasted=area bought-area needed
area needed=area of tablecloth=1384.74
area bought=2100
area wasted=2100-1384.74
area wasted=715.26 in^2
answer is wasted area=715.26 square inches
Answer:
2
Step-by-step explanation:
A geometric sequence means that each term is the previous term multiplied by a certain common ratio. For instance, here, -30 is 2 times -15, and -60 is 2 times -30. Hope this helps!
