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yKpoI14uk [10]
3 years ago
12

Which of the following shows a gain of $430? A. $4.30 B. $430 C. -$430 D.-$4.30

Mathematics
2 answers:
sertanlavr [38]3 years ago
6 0

Answer:

a because it's a positive number

trasher [3.6K]3 years ago
6 0
B because that is the only number which is positive and 430
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Option C

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When the team gains yards we use a positive value, and when the team loses yards we use a negative value.

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First play = +2

<em><u>Given that football team loses 5 yards on the second play</u></em>

Second play = -5

<em><u>Given that football team loses 3 yards  on the third play</u></em>

Third play = -3

<em><u>Given that football team gains 4 yards on the fourth play</u></em>

Fourth play = +4

Put the yards from four plays together, we get

⇒ 2 -5 -3 + 4

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⇒ -3 -3 + 4 = -6 + 4 = -2

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If the distance from the boat to the lighthouse is 120 meters and the angle of elevation is 40°, which of the following equation
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You can use the fact that lighthouses are usually standing perpendicular to the ground that smaller distance on earth surface(planes or water bodies like sea or ocean or calm river) acts as if they a straight plane.

The length (y) of the lighthouse is given by:

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<h3>What is angle of elevation?</h3>

What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

<h3>How to calculate the height of the considered lighthouse?</h3>

See the figure attached below to understand the symbols used in calculations.

Let the boat is on point C, and let the light house be AB.

Then we have:

Length of CA = 120 meters

∠ ACB = 40°

To find: length of AB

By using the trigonometric ratio tangent, we get:

tan(\angle ACB) = \dfrac{AB}{AC}\\\\tan(40^\circ) = \dfrac{h}{120}

Since here h is denoted by y, we have h = y, or

The equation to find the height of the lighthouse is

tan(40^\circ) = \dfrac{y}{120}

Thus,

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Learn more about angle of elevation here:

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