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1 year ago

Trigonometry Question, check pic.

Mathematics

1 answer:

Lynna [10]1 year ago

3 0

$\text{AD is a bisector of angle BAC, so}\\\\\angle DAC = \angle BAD = 17^{\circ}~ \text{and}~ \angle BAC = 17^{\circ} + 17^{\circ}=34^{\circ}\\\\\text{In}~ \triangle ADB\\\\~~~~~~~\tan \angle BAD = \dfrac{DB}{AB}\\\\\implies DB = AB\tan \angle BAD \\\\~~~~~~~~~~~~=21 \tan 17^{\circ}\\\\$

$\text{In}~ \triangle ABC\\\\~~~~~~~\tan \angle BAC = \dfrac{CB}{AB}\\\\\implies BC = AB \tan \angle BAC\\\\\implies DB+CD = AB\tan \angle BAC\\\\\implies CD = AB \tan \angle BAC - DB\\\\\implies CD=21\tan 34^{\circ}-21 \tan 17^{\circ}\\\\\implies x\approx8 ~ \text{cm}$

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2 years ago

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Inessa05 [86]

Answer:

Step-by-step explanation:

The area of a rectangle can be found with the formula $A = l*w$ , where $l$ is the length of the rectangle and $w$ is the width.

From the given problem statement, we know that $l = 14$ and $A = 161$ , so we can fill in those values in the formula anbd solve for $w$ to get the width:

$A = l*w$

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Divide both sides by $14$ to isolate $w$ by itself:

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2 years ago

Read 2 more answers

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Oksana_A [137]

The perpendicular bisector theorem gives the statements that ensures

that $\overleftrightarrow{FG}$ and $\overleftrightarrow{AB}$ are perpendicular.

The two statements if true that guarantee $\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ are;

$\overline{CE} = \overline{CD}$

$\overline{DF} = \overline{EF}$

Reasons:

The given diagram is the construction of the line $\mathbf{\overleftrightarrow{FG}}$ perpendicular to line $\mathbf{\overleftrightarrow{AB}}$ .

Required:

The two statements that guarantee that $\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ .

Solution:

From the point C arcs E and D are drawn to cross line $\overleftrightarrow{AB}$ , therefore;

$\overline{CE} = \mathbf{\overline{CD}}$ arcs drawn from the same radius.

$\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ , given.

Therefore;

$\overline{DF} = \overline{EF}$ by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

brainly.com/question/11357763

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2 years ago

What is the approximate distance between points A and B?

Aleks04 [339]

Answer:

$\displaystyle d \approx 7.62$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(1, 4)

Point B(-2, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

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2 years ago

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motikmotik

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2 years ago