whats the pigeonhole principa?
Answer:
6x
Step-by-step explanation:
The area is given by the formula ...
A = LW
Fill in the given values and solve for width.
24x^3 = (4x^2)W
W = (24x^3)/(4x^2) = 6x
The width of the rectangle is 6x.
Answer:
3 hours
Step-by-step explanation:
You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.
The Surface area of the figure is 520 square centimeters
<h3 /><h3>How to calculate the surface area of a figure</h3>
The figure is made up of rectangular prisms
The formula for calculating the surface area of rectangular prism is expressed as:
SA = 2(lw + wh + lh)
l is the length
w is the width
h is the height
Surface area of the figure = 2(2(8) + 2(14) + 8(14)) + 2(6(8) + 6(4) + 8(4))
Surface area of the figure = 2(16+28+112) + 2(48 + 24+32)
Surface area of the figure = 312 + 208
Surface area of the figure = 520 square centimeters
Hence the Surface area of the figure is 520 square centimeters
Learn more on surface area of composite figure here: brainly.com/question/26736468
Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.