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m_a_m_a [10]
2 years ago
11

Find the perimeter of the following shape, rounded to the nearest tenth: coordinate plane with quadrilateral ABCD at A 0 comma 0

, B 5 comma negative 1, C 3 comma negative 5, and D negative 2 comma negative 4 19.1 20.39 22.8 24.4
Mathematics
1 answer:
mezya [45]2 years ago
8 0

The perimeter of a figure is the sum of the lengths of the sides used to make the given figure. The perimeter of the shape ABCD is 19.1(5.099+4.4721+5.099+4.4721).

<h3>What is the perimeter?</h3>

The perimeter of a figure is the sum of the lengths of the sides used to make the given figure.

The perimeter of the shape can be found by finding the length of the different sides, therefore,

AB = \sqrt{(5-0)^2+(-1-0)^2} = \sqrt{26} = 5.099

BC = \sqrt{(3-5)^2+(-5+1)^2} = \sqrt{20} = 4.4721

CD = \sqrt{(-2-3)^2+(-4+5)^2} = \sqrt{26} = 5.099

AD=\sqrt{(-2-0)^2+(-4-0)}=\sqrt{20} = 4.4721

Hence, the perimeter of the shape ABCD is 19.1(5.099+4.4721+5.099+4.4721).

Learn more about perimeter here:

brainly.com/question/10466285

#SPJ1

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





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3 years ago
Which quadrilaterals have parallel opposite sides? Select all that apply.
Brrunno [24]
Parallelogram square rectangle
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Step-by-step explanation:

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