Answer
Find out the how long did they rest in 8 hours.
To prove
As given
contestants in a dance-a-thon rest for the same amount of time every hour.
A couple rests for 25 minutes in 5 hours .
As
25 mintues = 5 hours
1 hours = 5 mintues
Thus in 1hours a the dance -a-thon rest for 5 mintues.
Now for 8 hours.
8 hours = 8 × 5 mintues
= 40 mintues
Therefore in 8 hours a dance-a-thon rest for 40 mintues.
Given exponential expression : .
<em>According to exponents of exponent rule, we need to distribute whole exponent over exponents of inside terms of parenthesis.</em>
We are given whole exponent 2 there.
We can apply exponents of exponent rule.
Therefore,
Therefore,
The maximum length of the prism is highest length of the hexagonal prism
The maximum length of each prism is 8.0 cm
<h3>How to determine the maximum length of each prism?</h3>The surface area of the hexagonal prism is calculated using:
A = 6al + 33 a^2
Where:
a represents the edge length; a = 4 cm
l represents the length (or height) of the prism
The surface area costs $0.04 per square centimeter.
So, we have:
C = 0.04 * [6al + 33 a^2]
The maximum cost is $11.
So, the equation becomes
11 = 0.04 * [6al + 33 a^2]
Substitute 4 for a
11 = 0.04 * [6 * 4l + 33 * 4^2]
Evaluate the products and exponents
11 = 0.04 * [24l + 483]
Divide both sides by 0.04
275 = 24l + 483
Subtract 483 from both sides
24l = 275 - 483
Evaluate the difference
24l = 191.9
Divide both sides by 24
l = 8.0
Hence, the maximum length of each prism is 8.0 cm
Read more about surface areas at:
9514 1404 393
Answer:
x = √(w(w+z))
Step-by-step explanation:
The idea with a right-triangle figure of this sort is that all of the triangles are similar. Here, x is the short side of ∆ABC, and the hypotenuse of ∆BDC. This suggests you want to write a similarity statement involving the short side and hypotenuse.
BC/AC = DC/BC . . . . . short side/hypotenuse
BC² = AC·DC . . . . . . cross multiply
x² = (w+z)w . . . . . . substitute letter values
Taking the square root and rearranging to the form of the applicable answer choice, this is ...
Answer:
Step-by-step explanation:
Use the distributive property.
<h3>What is a distributive property?</h3>Distributive property is a serving to distribute or allot or disperse.
<u>Distributive property:</u>
A(B+C)=AB+AC
A(B-C)=AB-AC
-10(1-9x)+6(x-10)
<u>Expand.</u>
-10(1-9x)
-10*1=-10
-10*9x=90x
6(x-10)
6*x=6x
6*10=60
6x-60
<u>Rewrite the problem down.</u>
= -10+90x+6x-60
<u>Combine like terms.</u>
90x+6x-10-60
<u>Add the numbers from left to right.</u>
90x+6x=96x
96x-10-60
<u>Finally, subtract the numbers from left to right.</u>
-10-60=-70
Therefore, the final answer is<u> 96x-70.</u>
I hope this helps, let me know if you have any questions.
To learn more about distributive property:
#SPJ1
