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zaharov [31]
3 years ago
14

A vessel sails 41 miles S 35° E. How far south has it sailed?

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Option A: The vessel has sailed 34 miles South

Explanation:

Given that the vessel sails 41 miles S 35° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

cos \ \theta=\frac{adj}{hyp}

Substituting \theta=35^{\circ} , adj=x and hyp=41

Hence, we get,

cos \ 35=\frac{x}{41}

Simplifying, we have,

0.82=\frac{x}{41}

Multiplying both sides by 41, we have,

33.62=x

Rounding off to the nearest integer, we have,

34=x

Thus, the vessel has sailed 34 miles South.

Therefore, Option B is the correct answer.

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If 35+(16x-8)+(2x+9)=180 what does x equal
Mnenie [13.5K]

Answer:

x = 8

Step-by-step explanation:

combine like terms:

18x + 36 = 180

18x = 180-36

18x = 144

x = 144/18

x = 8

3 0
3 years ago
Idk wat to do.....<br>........​
oksano4ka [1.4K]

Answer:

Mean : 95

Median : 85

Mode : 90

Part B : Impossible

Step-by-step explanation:

We can make an equation to find the mean using the first 5 history test scores.

85=\frac{80+75+90+75+95+n}{6} \\ \\ 85=\frac{415+n}{6} \\ \\ 510=415+n \\ \\ n=95

So a 95 would be needed to have a mean of 85.

Next, the median.

First, we sort the first 5 history scores from least to greatest.

We get 75, 75, 80, 90, 95.

Since, 80 is the middle value, it will be used in the calculation of the median.

We can make an equation with this.

82.5=\frac{80+n}{2} \\ \\ 165=80+n \\ \\ n=85

So a score a 85 would be needed to have a median of 82.5

Thirdly, the mode.

Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).

Finally, Part B.

We can use the equation we had for the first mean calculation but change 85 to 90.

90=\frac{80+75+90+75+95+n}{6} \\ \\ 90=\frac{415+n}{6} \\ \\ 540=415+n \\ \\ n=125

So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.

8 0
3 years ago
Let c = 10.Which expression makes the comparison true.
den301095 [7]

Answer:

c² - 63

Step-by-step explanation:

4c - 10 = 30

3c ÷ 3 = 10

c² - 63 = 37

c² ÷ 10 = 10

Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.

c + 25 < 37

I hope this helps you :D

3 0
3 years ago
Choose the equation that represents the graph below.
alekssr [168]
The equation is y = -2/3x + 6
5 0
3 years ago
Read 2 more answers
At another school they sell a different brand of gift wrap which costs $2 per package and cards for $5 per package. Your friends
zhenek [66]
Hi there,

5x?=110 ?=22

how? 110/5=22

now 2x?=110

110/2=55    ?=55'

so we know now that people bought 22 packages with card and 55 w/th out cards!

so no we need to divide 695/both

695/5=139 packages with cards 

695/2=347 packages without cards 

SO

139 packages with card 

347 packages without card
8 0
3 years ago
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