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nalin [4]
2 years ago
12

The constant of ________ is the value that relates two variables that are directly proportional or inversely proportional.

Mathematics
1 answer:
krok68 [10]2 years ago
6 0

The constant of <u>p</u><u>r</u><u>o</u><u>p</u><u>o</u><u>r</u><u>t</u><u>i</u><u>o</u><u>n</u> is the value that relates two variables that are directly proportional or inversely proportional.

  • <em>O</em><em>p</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>B</em><em> </em><em>i</em><em>s</em><em> </em><em>c</em><em>o</em><em>r</em><em>r</em><em>e</em><em>c</em><em>t</em><em>!</em><em>!</em><em>~</em>
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Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59
andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree

So, we will use "Sine formula ":

\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet

Similarly,

\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

4 0
3 years ago
Read 2 more answers
When 3 times a number is subtracted from 10, the result is the sum of the number and 22
Arada [10]

Answer:

x = -6

Step-by-step explanation:

Let the number be x

<u>Condition:</u>

=> 10-3x = x+22

<u><em>Let's Solve it:</em></u>

=> -3x-x = 22-10

=> -2x = 12

<em>Dividing both sides by -2</em>

=> x = -6

6 0
3 years ago
Read 2 more answers
Does the point (-9,-4) satisfy the equation y = x + 5?
ozzi

Answer:

Yes it satisfies the equation

Step-by-step explanation:

Let, P(x,y) = (-9,-4)

Then, x = -9

         y = -4

if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)

So, the point satisfies the equation

Hope you have understood this

Pls mark my answer as the brainliest

5 0
2 years ago
How are the two fours related in The 0.044
andreyandreev [35.5K]
The two fours are recurring
6 0
3 years ago
Three numbers X, Y, and Z are in the ratio 2:7:8. If 12 is subtracted from Y, then three numbers form a geometric sequence (in t
Dimas [21]
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if  X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
   16k²= 49k²-168k +144
  33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number  to find the values of X,Y and z,
X= 8, Y= 28 and Z=32 
3 0
3 years ago
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