Answer:
The distance between B and lighthouse is 3.8688 km
Step-by-step explanation:
Given:
The angle made from ship to lighthouse is 36.5 degrees
and that of point B is 73 degrees.
To Find:
Distance Between Point B and Lighthouse
Solution:
<em>Consider a triangle LAB(Refer the attachment )</em>
And Point C is on the line AB as A i.e. ship is sailing to B
So C is at 5 km from A.
Now In triangle LAC,
Using Trigonometry Functions as ,
tan(36.5)=LC/AC
LC=tan(36.5)*AC
=0.7399*5
=3.6998 km
Now In triangle LBC,
As,
Sin(73)=LC/LB
LB=LC/(Sin(73))
=3.6998/0.9563
=3.8688 km
LB=3.8688 km
Problem
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.
By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.
Solution
the volume of a cylinder is given by:
We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:
And the new volume would increase about 52%
The correct answer is C !
Answer:
140 ounces of water and 105 ounces of 35% salt solution.
Explanation:
Let be the ounces of water that need to be added and be the ounces of 35% solution that need to to be added.
We know that the total of ounces of water and of 35% solution must be 245 ounces:
35% of is the salt, and since no salt is added with addition of liters of water, this must be equal to the amount of salt in the final 15% solution:
we solve for and get:
We put this value into and solve for to get:
Thus we have 140 ounces of water and 105 ounces of 35% solution.
Answer:
20%
Step-by-step explanation:
or 20 because since there is 5 and 3 you ad them and you get 5, 5+5 =10 and its like 100 but its not so, 2 of 10 is like saying 20% of 100