Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
Answer:
-0.329
Step-by-step explanation:
The formula for Geometric ratio is
an = ar^n - 1
Where
a = First term = 18
r = Common ratio = ?
n = Number of term= 6
Hence
a6 = 18 × r^6-1
From the question
a6 = -2/29
Hence:
-2/29 = 18 × r^6-1
-2/29 = 18 × r⁵
Divide both sides by 18
-2/29 ÷ 18 = 18 × r⁵/18
-2/29 × 1/18 = r⁵
r⁵ = -1/261
Take the fifth root of both sides
⁵√(r⁵) = ⁵√(-1/261)
r = -0.3286032834
Approximately = -0.329
Therefore, Common ratio = -0.329
Answer:
12i + 2
Step-by-step explanation:
Combine like terms.
-1 + 3 = 2
5i + 7i = 12i
12i + 2 is your answer.
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A multiple of 4 is a 12/50 chance and a multiple of 5 is a 10/50 chance or simplified 1/5 chance
The expression can be simplified as:
k^3(k7/5)^-5
= k^(3+-5) * (7/5)^-5
(Collecting the powers of k at one side and the constants at other side)
= k^-2 * (5/7)^5
(Solving thr integer powers)
= k^-2 * (3125/16807)
