Answer:
15.13cm
Step-by-step explanation:
From that above question:
We are told that:
Lateral surface area of a right circular cone : πr√r² + h²
We are give the following parameters:
Lateral surface area = 236.64cm²
Radius = 4.75cm
We are to find the height
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)²- π ×4.75²]/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
Given that,
A car uses a litre of petrol to travel 4 km.
To find,
How many litres will it use to travel 32 kilometres.
Solution,
We have,
1 litre = 4 km
or
1 km = (1/4) litre
Let it will use x litres to travel 32 km.
32 km = (32/4) litres
= 8 litres
Hence, 8 litres it will use to travel 32 km.
Answer:
- 3x² is a term in the numerator
- x + 1 is a common factor
- The denominator has 3 terms
Step-by-step explanation:
You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.
When you factor the expression, you get ...
This reveals a common factor of x+1.
So, the above three observations are true of this rational expression.
Answer:
0.53333...
Step-by-step explanation:
Answer: She has 21 lira coins.
Step-by-step explanation:
Given, Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins.
Let x = the number of lira coins.
y= the number of drachma coins.
z= the number of peseta coins.
Then, as per given, we have
x+y+z=83 (i)
x+y=53 (ii)
x+z=51 (iii)
From (ii) and (iii)
y=53-x
z=51-x
Put these values in (i) , we get
x+(53-x)+(51-x)=83
⇒ x+53-x+51-x=83
⇒ 104-x=83
⇒104-83=x
⇒x= 21
Hence, she has 21 lira coins.
