Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.
Answer:
<h2>18/√3ft</h2>
Step-by-step explanation:
This is a ratio problem
Step one:
Given the ratio of length:width is <em> "3 space colon space square root of 3"</em>
mathematically it is expressed as
length:width 3:√3 or 3/√3
Step two:
3:√3 or 3/√3
if the built TV has a width of 6ft let the length be x
3/√3=x/6
cross multiply we have
x√3=3*6
x√3=18
x=18/√3ft
therefore the length will be 18/√3ft
A to the middle one
B to the top one
C to the bottom one
The top one is all real numbers because any number in the "l l" absolute brackets will come out to be positive, example: l-3l=3 and l3l=3. Thats going to be equal to and since the sign says "less than or equal to" that will work.
The middle one is only positive solutions because for 7x to be more than lxl it would need to be positive since the sign is "greater than"
The bottom one is none because the absolute of anything will always be more than a negative since the absolute is always positive. Never less or equal to a negative, always more.
If n>4, then n+3<2n<3n-2 (n+3<2n is true because this unequality is equivalent to 3<n and 2n<3n-2 is also true because this unequality is equivalent to 2<n). Hence, the side AC is the smallest one and the side AB is the biggest one.
The largest side is opposite the largest angle, the medium side is opposite the medium angle and the smallest side is opposite the smallest angle.
Then, m∠B<m∠A<m∠C.
Answer: m∠B<m∠A<m∠C.
