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Mumz [18]
3 years ago
7

A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

nce for his farm. From one vertex, it is 435m to the second vertex and 656m to the third vertex. The angle between the lines of sight to the second and third vertices is 49 degrees. Calculate how much fencing he would need to enclose his entire field.
Mathematics
1 answer:
Iteru [2.4K]3 years ago
5 0

Answer:

The amount required is  l_t  =  1586 \ m

Step-by-step explanation:

From the question we are told that

   The length of one side is  l_1 =  435 \ m

    The length  of the second side is  l_2  =  656 \  m

     The angle between the line of sight of second and third side is  \theta  =  49^o \\

Generally using cosine rule the third side is evaluated as

     l_3^2 =  l_1 ^2  + l_2^2  -  2 * l_1  *  l_2  cos  (\theta )

=>    l_3^2  =  435 ^2  +  656^2  -  2 * 453* 656 cos (49)

=>   l_3  =  495 \  m

The total  amount of face required is  mathematically evaluated as

       l_t   = l_1  + l_2 + l_3

   l_t  =  435 +  656 +  495

   l_t  =  1586 \ m

     

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a gardener spends half an hour to mow and weed the lawn which has a measurement of 24 m × 15 m. He is paid $25 per hour. how muc
Ugo [173]

Answer:

$100

Step-by-step explanation:

Half - a - hour = (24*15) =360 m

one hour payment $25

hour(?) =(48*30) = 1440 m

  1440/ 360 =  4 hours

So, 25*4 =$100

6 0
3 years ago
What is the perimeter of khgj?
kaheart [24]

Answer:

  58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

  P = 2(L +W)

  P = 2(18 in + 11 in) = 2(29 in)

  P = 58 in

The perimeter of KHGJ is 58 inches.

3 0
3 years ago
Need help :///////:::::/:/:/:/:::/://:::///:://:;://::::
xz_007 [3.2K]

Answer:

A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.

17°

27°

63°

73°

Step-by-step explanation:

3 0
3 years ago
Type the correct answer in the box. Round off your answer to the nearest integer.
Mkey [24]

Answer:

∠ p ≈ 59°

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD to find DB

DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )

DB = \sqrt{61}

---------------------------------------

Using the cosine ratio in right triangle DBC

cos p = \frac{adjacent}{hypotenuse} = \frac{DC}{DB} = \frac{4}{\sqrt{61} } , thus

p = cos^{-1} ( \frac{4}{\sqrt{61} } ) ≈ 59°

6 0
3 years ago
A furniture store has a chair originally priced at $76 on sale for $58 . what is the percent of decrease rounded to the nearest
neonofarm [45]
So here is how we are going to find the answer. Firstly, we deduct 58 from 76 and we got 18. The decrease is $18. Now, we are going to find out how many percent is 18 of 76. So we divide 18 by 76 multiplied by 100 and we get 23.7%. Hope this answers your question. Have a great day!
8 0
3 years ago
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