Answer:
The distance between the docks & island is 44.07 km.
Step-by-step explanation:
Speed of the boat S = 3.4 knot = 6.3 
Time taken by bot to reach the island = 7 hr
We know that the distance is given by
Distance = Speed × Time
Put all the values in above equation we get
D = 6.3 × 7
D = 44.07 km
Therefore the distance between the docks & island is 44.07 km.
Answer:
23.24 feet
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
Answer:
3, 5, 7
Step-by-step explanation:
1st number: (2k+1)
2nd number: (2k+3)
3rd number: (2k+5), k∈Z
3*[(2k+1) + (2k+3)] = 3 + 3*(2k+5)
3*(4k+4)=3+6k+15
12k+12=18+6k
6k=6
k=1
1st number: (2k+1) = 3
2nd number: (2k+3)=5
3rd number: (2k+5)=7
Answer: ¹/₁₂ watermelon
Step-by-step explanation:
Mrs. Parker had a watermelon which she cut into fourths and then gave one of those pieces to her children.
This means that she gave them 1/4 of a watermelon.
There are 3 children and they are to share this piece equally:
= 1/4 ÷ 3
= 1/4 * 1/3
= 1/12
<em>Each child will get 1/12 of the water melon. </em>
Using the definition of vertical angles you can set up the equation 3x+4=115, when solved you get x=37. Hope this helps!
