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olya-2409 [2.1K]
3 years ago
10

10 points

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0
Real and rational and integer?
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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
Which equations show that the set of whole numbers is closed under multiplication?
irina1246 [14]
C and D.............................
3 0
3 years ago
(10n-5)÷(5)=2n-1 the left of the parentheses has to equal the right
daser333 [38]
(10n-5)/(5)= 2n-1
just divide
10/5 = 2 and -5/5 =-1
and you get the answer
2n-1= 2n-1
8 0
3 years ago
Chico is financing a car for $9,550 and an APR 8.9 percent for 3 years. What is his monthly payment if the monthly payment per $
Alik [6]

Answer:

the monthly payment is $303.69

Step-by-step explanation:

this is how i got it:

9,550 divided by 100= 95.5

95.5 x 3.18= 303.69

so the monthly payment it $303.69

5 0
3 years ago
See picture below. What is the difference between 4∑n=1 2n+1 and 4∑i=1 (2i+1)?
kondor19780726 [428]

Answer:

3

Step-by-step explanation:

\sum 2n+1= \boxed{\big( \sum_{i=1} ^{4}2n \big) +1}

And,

$ \sum (2i+1)= \sum (2i)+ \sum_{i=1} ^{4} (1) $

$=\sum_{i=1} ^{4}(2i) + 1+1+1+1 $

$=\boxed{\Big(\sum_{n=1} ^{4}(2n)\Big) +4}.... \text{Variable in Summation doesn't matter}$

Hence the difference is 3.

8 0
3 years ago
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