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Neko [114]
3 years ago
13

A 21-foot ladder is leaning against a building. The base of the ladder is 7 feet from the base of the building.

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
X - <span>the measure of the angle that the ladder makes with the ground

</span>\cos{x}= \frac{7}{21} &#10;\\&#10;\\ \cos{x}= \frac{1}{3} &#10;\\&#10;\\ x=\arccos{\frac{1}{3} } \approx 71^o<span>
</span>
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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
malfutka [58]
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 :)
7 0
3 years ago
(8, 1) and (-1, 10)<br> Slope
gizmo_the_mogwai [7]

Answer:

<h2>The answer is 1</h2>

Step-by-step explanation:

The slope of the line between two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}

where

(x1 , y1) and (x2 , y2) are the points

From the question is points are

(8, 1) and (-1, 10)

Substitute the values into the above formula and solve for the slope

That's

m =  \frac{10 - 1}{8 + 1}  \\  =  \frac{9}{9}   = 1

We have the final answer as

<h3>1 </h3>

Hope this helps you

7 0
3 years ago
A scientist planted seeds in 4 sections of soil for experiment. Not alll of the seeds grew into the plant .after 20 days, the sc
Karolina [17]
What is the question? no question has been asked. need more info to solve.
3 0
3 years ago
What is 87.92 rounded to the nearest tenth
alex41 [277]

Answer:

87.92 rounded to the nearest tenth would be 87.9 because you wouldn't round up unless the number after the 9 was 5 or higher.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the simplified form of 2 times 10 squared to the second power in standard notation?
Semmy [17]
<span>2 times 10 squared to the second power in standard notation

2 x(10^2)^2
=2x10^4
=20000</span>
4 0
3 years ago
Read 2 more answers
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