Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem
⇒ 
⇒ 
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
For that case the new circumference is:
C = 9 - 2
C = 7 inches
By definition, the circumference is:
C = 2 * pi * r
Where,
r: radio
Substituting values:
7 = 2 * pi * r
Clearing the radio:
r = 7 / (2 * pi)
Then, the diameter is:
d = 2 * r
Substituting:
d = 2 * (7 / (2 * pi))
d = 2.228169203
Round to the hundredth:
d = 2.23 inches
Answer:
The diameter of the roll after the decrease is:
d = 2.23 inches
Answer: Five cats ate 1 and a quarter of cat food.
Step-by-step explanation
Given:-
Cat food ate by one cat = 1/4 cup
Cat food ate by five cats =![5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%20%5Ctext%7B%20%5BMultiplying%20both%20sides%20with%205%20%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7B4%2B1%7D%7B4%7D%3D%5Cfrac%7B4%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%3D1%2B%5Cfrac%7B1%7D%7B4%7D)
=1 and 1/4 cup.
Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]
I need to find the x pls help and show work
That's simple the answer is 23 over 93.
