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IceJOKER [234]
3 years ago
10

A rope with a length of 3.5 meters is tied from a stake in the ground to the top of a tent. It forms a 17 degree angle with the

ground. How tall is the tent?
Mathematics
1 answer:
Alika [10]3 years ago
3 0

Answer:

The tent is 1.0233 m tall.

Step-by-step explanation:

The rope, the ground and the tent form a right triangle, where the rope is the hypothenuse and the height of the tent is the opposite side to the angle of 17 degrees. We can apply the sine relation on a right triangle to determine the height of the tent, as shown below:

sin(angle) = opposite side / hypothenuse

sin(17) = h / 3.5

h = 3.5*sin(17)

h = 3.5*0.2923 = 1.0233 m

The tent is 1.0233 m tall.

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I need help finding the answer to this question on edge.
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6

Step-by-step explanation:

We need to evaluate :-

\rm\implies \displaystyle\rm\sum^4_n   (-1)^n (3n + 2 )

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\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2)

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Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,

\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}

<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>6</u><u>.</u>

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2 years ago
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3 years ago
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
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