Answer:
<h2>width = 7 m</h2><h2>length = 5 m</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 24m
The statement
The length is 30 m less than five times the width is written as
l = 5w - 30
Substitute the expression into the above formula and solve for the width
That's
24 = 2( 5w - 30) + 2w
24 = 10w - 60 + 2w
84 = 12w
Divide both sides by 12
w = 7
Substitute this value into l = 5w - 30
That's
l = 5(7) - 30
l = 35 - 30
l = 5
Therefore the dimensions are
width = 7 m
length = 5 m
Hope this helps you
Answer:
1
/27
1 over 27
Step-by-step explanation:
brainliest please?
Answer:
7.5 m 457.5
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = 
.
Original Cone = = 
= 937.5
Smaller Cone = = 
= 480
Frustum = 937.5 - 480 = 457.5
Answer:
f(n) = 2 + 5n. This is an arithmetic sequence.
Step-by-step explanation:
f(1) = 7
f(2) = 7 + 5
f(3) = 7 + 5 + 5 = 7 +10
f(4) = 7 + 5 + 5 + 5 = 7 + 15
In general,
f(n) = 7 + 5(n -1 )
= 7 + 5n - 5
= 2 + 5n
We have the sequence 7, 12, 17, 22, 27 …
This is an arithmetic sequence, because it is a sequence of numbers in which the <em>common difference</em> between consecutive terms is 5.
