Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
Answer:
2/3 + 1/5 = 13/15
Step-by-step explanation:
Answer:
Sharon spent a total of 49 minutes yesterday reading the book
Step-by-step explanation:
Step 1: Calculate the rate at which she reads
The total number of pages she reads at any given time interval can be expressed as;
T=P×m
where;
T=Total number of pages she reads
P=the rate at which she reads in number of pages per minute
m=total number of minutes she takes reading a book
In our case;
T=10 pages
P=p
m=35 minutes
replacing;
10=p×35
p=10/35
p=(10/35)
The rate at which she reads=(10/35) pages per minute
Step 2: Calculate the time she spent reading the book yesterday
Yesterdays variables are as follows;
T=14 pages
p=(10/35) pages per minute
m=unknown
replacing;
14=(10/35)×m
m=14×(35/10)
m=49
Sharon spent a total of 49 minutes yesterday reading the book
To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:
<span>2:3:4
2x:3x:4x
2x = 12
x = 6
Therefore, the length of the longest side would be 4x = 4(6) = 24 cm, third option.</span>
<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>
<em><u>Solution:</u></em>
<em><u>Given that, we have to simplify</u></em>
We can simplify the above expression by combining the like terms
Like terms are terms that has same variable ( with same exponent) with same or different coefficient
From given,
Here, like terms are -3y and -5y
And 2x and -7x
Group the like terms
Combine the like terms
Thus the given expression is simplified
