The inequality that represents the possible length of the patio is √A < 625.
<h3 /><h3>How to represent an inequality?</h3>
Maddie's backyard is 25 meters by 25 meters.
Therefore,
area of the backyard = 25 × 25 = 625 m²
Hence,
She wants to put a square cement patio in her backyard.
A = area of the patio, in square meters.
Hence,
area of the backyard = 625 m²
Therefore, the inequality that represents the possible length of the patio is √A < 625.
learn more on inequality here: brainly.com/question/23919881
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Answer: $5,828.28
<u>Step-by-step explanation:</u>
Use the Compound Interest formula:
where
- A is the accrued amount (balance)
- P is the principal (initial amount invested)
- r is the interest rate (in decimal form)
- n is the number of times compounded each year
- t is the time of the investment (in years)
Given: P = 4,900
r = 3.5% (0.035)
n = 2
t = 5

Similar triangles may or may not be congruent
- The height of the peak is 72 feet
- The triangles are similar by AA similarity postulate
<h3>How to determine the similarity statement</h3>
First, we determine the height of the peak using the following equivalent ratios
P B : B M = T F : F M
So, we have:

Express the units in inches

Express as fractions

Multiply both sides by 240


Express as feet

So, the height of the peak is 72 feet
The ratio also means that the triangles are similar by AA similarity postulate
Read more about similar triangles at:
brainly.com/question/14285697
Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
Answer:
(B) 
Step-by-step explanation:
(A) The given expression is: 
=
The value of this expression is 8 which is greater than the base of the expression that is 2.
(B) The given expression is: 
=
=
The value of this expression is 0.09 which is smaller than the base of the given expression that is 0.83.
(C) The given expression is: 
=
The value of this expression is 9 which is greater than the base of the given expression that is 3.
(D) The given expression is: 
=
The value of this expression is 256 which is greater than the base of the given expression that is 4.
Hence, Option B is correct.