Answer:
9.7
Step-by-step explanation:
tan=opposite/adjacent
tan=9/adjacent
tan 43=9/x
x tan 43=9
0.9325x=9
0.9325x/0.9325=9/0.9325
=9.65
hence;
x=9.7
Answer: 45 years old
Step-by-step explanation:
<u>Given:</u>
- Father's age is thrice the sum of ages of his two children
- After five years, his age will be twice the sum of their ages
Let x be the two children's current age and 3x be the father's current age
<u>Solve:</u>
Set equation
3x + 5 = 2 ( x + 10 )
Expand parenthesis
3x + 5 = 2x + 20
Subtract 5 on both sides
3x + 5 - 5 = 2x + 20 - 5
3x = 2x + 15
Subtract 2x on both sides
3x - 2x = 15
x = 15
15 × 3 = 45 years old
Hope this helps!! :)
Please let me know if you have any questions
If the scale factor of the small pool to the large pool is equal to 0.12, the ratio of their volumes should be equal to 0.12^3 or equal to 1.728 x 10^-3. We multiply this value to the given volume of the large pool to get the volume of the small pool.
volume of small pool = (1.728 x 10^-3)(15,000 m^3)
volume of small pool = 25.92 m^3
Hence, the answer is the first choice.
30.16 - 17.56 is 12.6 then 12.6/5 = 2.52
Answer:
Step-by-step explanation:
Given data
Length= 2x-7
Width= 3x+5.
Area= L*W
substitute
Open bracket
collect like terms
Hence the area is
