The prime factorization of 18 is: 2 x 3 x 3.
The prime factorization of 45 is: 3 x 3 x 5.
The prime factors and multiplicities 18 and 45 have in common are: 3 x 3.
3 x 3 is the gcf of 18 and 45.
gcf(18,45) = 9.
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.

∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :

Plugging in values.

Multiplying both sides by 400.


∴ 
Height of flagpole = 571 ft
25 is the answer for number 3
Answer:
C. 3⁶
Step-by-step explanation:
Exponents with the same base follow this exponential rule for division:
When the bases are the same, we can subtract the exponents.
The bases are the same in this problem: 3. Therefore, we can subtract the exponents from each other:
The final and correct answer is C. 3⁶.
Answer:
T
Step-by-step explanation: