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Setler79 [48]
3 years ago
8

1.what is the value of x? ( 1st pic)

Mathematics
1 answer:
balandron [24]3 years ago
5 0
For the first picture using Pythagorean Theorem, we know that a^2 + b ^2 = c^2 but since we only know c ( 99.2) and b ( 62 ) we need to use the theorem to find a the equation we use for that is : 
A = square root of ( c^2 - B^2 ) 
A = 77.44
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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
Dominic ordered 210 pens. He divided them equally among his 10 friends. One of his friends, Benjamin, already had 27 pens. Then,
photoshop1234 [79]

Answer:

35

Step-by-step explanation:

210/10=21 pens per friend

21+27=48 pens for benjamin

48-13=35 pens left

benjamin has 35 pens now

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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The answer to that is 128.18
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3 years ago
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