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Leto [7]
3 years ago
10

30 POINTS

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

5x

Step-by-step explanation:

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a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks​
Inessa [10]
<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

c^2 = a^2 + b^2 - 2ab\ cos c

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123

Thus, the distance between two landmarks is 123 meters

8 0
3 years ago
Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 wo
Vlad1618 [11]

Dana can type 90 words per minute.

Since, 1 minute = \frac{1}{60} hours

Therefore, number of words she can type = \frac{90}{\frac{1}{60}}

                                                                      = 90×60

                                                                      = 5400 words per hour

If she types 2.6\times 10^5 words in 'x' hours.

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= 5400\times x

Therefore, 5400\times x =2.6\times 10^5

5400x=260000

x=\frac{260000}{5400}

x=48.15 hours

Therefore, Dana types 2.6\times 10^5 words in 48.15 hours.

Learn more,

brainly.com/question/621754

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Answer:

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