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Mrrafil [7]
2 years ago
10

A ferry transports passengers to three different ports. from port a, the ferry travels east 3.5 miles to port b. the ship then t

urns 75° south and travels for 6 miles to reach port c. what is the distance d from port c to port a? approximate to the nearest tenth of a mile. miles
Mathematics
1 answer:
lora16 [44]2 years ago
7 0

The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.

<h3>How to calculate bearing distance? </h3>

We are given;

Ferry travels east 3.5 miles from Port b.

Then it turns 75° south and travels for 6 miles till it gets to Port c

To get the distance d from port c to port a, we would make use of cosine rule which is;

c = √(a² + b² - 2ab*cos C)

Thus;

d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))

d = 7.7 miles

Read more about bearings at; brainly.com/question/17612866

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Madison went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 500 mg of sodium and each
vovangra [49]

Madison purchased 5 cans of soup and 7 frozen dinners.

Step-by-step explanation:

Given,

Quantity of sodium in each soup can = 500 mg

Quantity of sodium in each frozen dinner = 700 mg

Total quantity = 7400

Let,

Number of soup cans purchased = x

Number of frozen dinners purchased = y

According to given statement;

500x+700y=7400        Eqn 1

y = x+2        Eqn 2

Putting value of y from Eqn 2 in Eqn 1

500x+700(x+2)=7400\\500x+700x+1400=7400\\1200x=7400-1400\\1200x=6000

Dividing both sides by 1200

\frac{1200x}{1200}=\frac{6000}{1200}\\x=5

Putting x=5 in Eqn 2

y=5+2\\y=7

Madison purchased 5 cans of soup and 7 frozen dinners.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10710410
  • brainly.com/question/10717746

#LearnwithBrainly

4 0
4 years ago
Please helpp with my math hw I’ll give brainlest
-Dominant- [34]

Answer:

20 percent

40 percent

20 percent

20(.008) percent

Step-by-step explanation:

6) 54 - 45 = 9

45 / 9 = 5

100 / 5 = 20

20 percent

7) 60 - 36 = 24

60 / 24 = 2.5

100 / 2.5 = 40

40 percent

8) 30 - 24 = 6

30 / 6 = 5

100 / 5 = 20

20 percent

9) 24.99 - 19.99 = 5

24.99 / 5 = 4.998

100 / 4.998 approx. = 20.008

20.008 percent (or rounded 20 percent)

4 0
2 years ago
I am 21 years old my father is 3 times my age how old eill i be when my father is 40
DENIUS [597]

Answer:

Well the answer is 13.3 so 13 years old

Step-by-step explanation:

(F,Y) = (63,21)

Y3=F so F/3=y

so

F= 40

Y=?

40/3=Y

40/3=13.3

4 0
3 years ago
Read 2 more answers
Unit Test / 16 of 25
Rzqust [24]

Answer:

30

Step-by-step explanation:

For the minimum free throws, he must put every throw to the basket.

So, let n be the number of throws for Tuesday, in which all the throws are successful.

So, over both the days, total free throws he makes= 15+n.

Total numbers of throws that went in the basket= 6+n.

As he wants at least 80% of his balls to go in the basket.

So, 6+n is greater than or equal to 809% of 15+n, i.e

6+n\geq \frac{80}{100}\times (15+n)

\Rightarrow 30+5n\geq 60+4n

\Rightarrow n\geq 30.

Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.

7 0
3 years ago
The daily attendance at a bowling alley was recorded for 15 days. The scatterplot
katrin [286]

Answer:

I am gonna assume 4.

Step-by-step explanation:

As we can see the more people who rent out a lane, there are more people bowling.

4 0
3 years ago
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