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1 year ago

Find the distance from A to C across the gorge illustrated in the figure

Mathematics

1 answer:

emmasim [6.3K]1 year ago

4 0

Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.

<h3>What is Tangent Ratio?</h3>

The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.

Given the following:

∅ = 25°
Adjacent length = 130 ft
Opposite length = AC

Apply the tangent ratio:

tan 25 = AC/130

AC = (130)(tan 25)

AC = 60.6 ft

Learn more about the tangent ratio on:

brainly.com/question/4326804

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2 years ago

Can someone please help me?

Vladimir79 [104]

Answer:

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

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Using elimination method

y + 2x = - 3

y - 3x = 2

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$\frac{5x}{5} = \frac{ - 5}{5}$

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$y = 3x + 2$

plug the value of x

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Therefore, The possible solution of the system is the ordered pair ( x , y )

$(x \:, y \: ) = ( - 1 \:, - 1)$

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Check if the given ordered pair is the solution of the system of equation

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$- 1 = 3 \times ( - 1) + 2$

Simplify the equation

$- 1 = - 1$

Since all the equalities are true, the ordered pair is the solution of the system.

Hope this helps..

Best regards!!

7 0

3 years ago

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3 years ago

A circle is drawn within a square as shown.

Vinil7 [7]

<h3>Area of shaded region is 21.5 square centimeter</h3>

<em><u>Solution:</u></em>

The area of the shaded region is equal to the area of the square minus the area of the circle

<em><u> Find the area of the square</u></em>

$Area\ of\ square = a^2$

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

$Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2$

<em><u>Find the area of circle </u></em>

The area of the circle is given as:

$Area\ of\ circle = \pi r^2$

Where, "r" is the radius of circle

Diameter = 10 cm

$r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5$

Thus,

$Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2$

<em><u>Find the area of the shaded region</u></em>

Area of shaded Region = Area of Square - Area of Circle

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Thus area of shaded region is 21.5 square centimeter

7 0

3 years ago