Answer: The number of pieces of the ribbon she can cut = yards
Step-by-step explanation:
Given: The length of the ribbon = yards
yards
Length of each piece = yards
The number of identical pieces can be cut from the entire ribbon = (Length of the ribbon ) ÷ (Length of each piece )
Hence, the number of pieces of the ribbon she can cut = yards
Answer:
Part a)
Part b) IHG is a semicircle and GJI is a semicircle
Part c) HIJ is a major arc and HIJG is a major arc
Part d)
Part e)
Step-by-step explanation:
Part a) Give an inscribed angle
we know that
The inscribed angle measures half that of the arc comprising
so
in this problem m<HIG is an inscribed angle
----> by central angle
substitute
Part b) Give a semicircle
we know that
The diameter divide the circle into two semicircles
so
GI is a diameter
therefore
IHG is a semicircle
GJI is a semicircle
Part c) Give a major arc
we know that
The measure of a major arc is greater than 180 degrees
therefore
HIJ is a major arc
HIJG is a major arc
Part d) Measure of arc GH
we know that
----> by central angle
so
Part e) Measure of arc GJI
we know that
----> the arc represent a semicircle
You divide left to right so you start at the three, hope this helps.
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