Answer:
160 ft
Step-by-step explanation:
the length of one side would be √1600 which is 40 so 40• 4 is 160
The equivalent expression is
.
We have the following expression -

We have to find its equivalent value.
<h3>What is the equivalent expression of the following expression-</h3>

In order to divide two exponents with same base, we use the 'Quotient property of exponents.
The equivalent expression can be written as -
f(x, y) = 
In the question given we have -
Using the property discussed above -
=
= 
Hence, the equivalent expression is
.
To solve more questions on exponents, visit the link below -
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Answer:
Nethan made 8 rose bouquets and 6 daffodil bouquets.
Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total.
Let x represents the number of more rose bouquets.
Let y represents the number of more daffodil bouquets.
The maximum bouquets that can be made = 20
And the number of bouquets made are = 14
So, additional bouquets are = 
In equation form we can show like :

or 
or 
Putting values of x as 0,2,4 and 6 we get:
When x = 0 then y = 6
When x = 2 then y = 4
When x = 4 then y = 2
When x = 6 then y = 0
You can see the graph attached.
Answer:
1. CYNARG
Step-by-step explanation:
This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:

In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.
Finding the offset:
O is coded B
O is the 15th letter in the alphabet, so
.
B is the 2nd letter in the alphabet, so 




So

PLANET:
P
P is the 16th letter in the alphabet.

So P is coded C.
L
L is the 12th letter in the alphabet:

L is coded Y(25th letter in the alphabet)
A
A is the 1st letter in the alphabet

A is coded N
N
N is the 14th letter in the alphabet

N is coded A
E
E is the 5th letter in the alphabet

E is coded R
So the correct answer is:
1. CYNARG
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ