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Makovka662 [10]
2 years ago
11

Solve 7k+17=30 give your answer as a fraction in its simplest form

Mathematics
1 answer:
sdas [7]2 years ago
3 0
7k+17=30
7k=13
k= 7/13
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Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50
Mandarinka [93]

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

7 0
3 years ago
What is the area of the composite shape?
yuradex [85]

Answer:

the ...ha answer is =99 in.^3

5 0
2 years ago
Chọn phát biểu đúng trong các phát biểu sau đây :
noname [10]

Step-by-step explanation:

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4 0
3 years ago
The bus fare for 8 passesngers is Rs. 384, how many more passengers can travel in the bus if the bus fare amounts to Rs. 576?​
Scilla [17]

Answer:

12 passengers so four more can travel in the bus.

Step-by-step explanation:

384/8= rs 48 per person.

amount= 576

576/48 = 12 passengers.

8 0
3 years ago
Read 2 more answers
The absolute value of the sum of -7 and twice a number is 23 . find the number
cestrela7 [59]
The absolute value of a number is the opposite so -7 = 7

23- 7 = 16 * 2= 32+ 7= 39.

Hope this helped!
8 0
3 years ago
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