To solve this problem you must apply the proccedure shown below:
1. You must apply the Law of Cosines, as you can see in the figure attached. Then:
- The first ship travels at 
in for two hours. Therefore, the side 
is:
- The second ship travels at 
for 
. Therefore, the side 
is:
- Now, you can calculate 
:
The answer is: 
Answer: 
Step-by-step explanation:
1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:
Where r is the radius (
)
2. Then:
3. The formula for calculate the suface area of the red part, which is a cylinder, is:
Where h is the height (h=32mm)
4. Then:
5. So, the total surface area is:
y/x = k
6.4/4 = 1.6
11.2 / 7 =1.6
16/10 = 1.6
20.8 /13 =1.6
This is a direct variation and the constant is 1.6
y=1.6x
Answer:
13 cups
Step-by-step explanation:
If the small box has 10 cups, then:
<u> (small) </u> <u> 10 cups </u> = <u> 100% </u>
(medium) x cups = 130%
Now, cross multiply:
10 (130) = x (100)
1300 = 100x
x = 13
Another way to solve this is by turning 30% into a decimal:
30/100 = 0.3
10 (0.3) = 3
Now you have 30% of the 10 cups, but you need <u>30% more</u><em> </em>than the small box, so:
10 + 3 = 13 cups
First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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