Answer:
5.57 feet
Step-by-step explanation:
In this problem, the light string, the height of the mast and the distance between the base of the mast and the end of the string form a right triangle, in which:
- The hypothenuse is the string
- The height is the mast
- The base is the distance between the base of the mast and the end of the light string
Here in this problem, we have:
(length of the string, hypothenuse)
(height of the mast, height)
So we can find the distance between the base of the mast and the end of the string just by applying Pythagorean's theorem:
It will take 2 years.
Year 1 :
4% 2.5k = 2.5k/100 × 4 = $100 in interest
$2.5k + $0.1k = $2.6k
Year 2 :
4% 2.6k = 2.6k/100 × 4 = $104 in interest
$100 + $104 = $204 > $200
There may be a simpler way to solve this using a formula for example, but I just solved this step by step. Please feel free to ask if you have any questions
Answer:
y = 23/16.
Step-by-step explanation:
I believe that when you say "4(2y + 4) = 18)", you mean "4(2y + 4 - 18)". With that in mind...
6(4y – 3) – 7 = 4(2y + 4) - 18
24y - 18 - 7 = 8y + 16 - 18
24y - 7 - 18 = 8y + 16 - 18
24y - 7 = 8y + 16
16y = 23
y = 23 / 16.
Hope this helps!
Answer:
10÷5 = 2, 2+2 =4, answer is 4