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3 years ago

Select all the properties of a kite.

Mathematics

2 answers:

drek231 [11]3 years ago

5 0

Answer:

Step-by-step explanation:

<u>Here are the Options verified:</u>

A. Incorrect. Kites can't be parallelograms.
B. Correct. Kites are quads. Quads have 4 sides. A kite has 4 sides.
C. Incorrect. They don't have opposite sides that are congruent.

<u>Correct choice is B.</u>

Marianna [84]3 years ago

3 0

Answer:

•Can have congruent diagonals. •Has one pair of opposite, parallel sides.

Kites:

•Has congruent adjacent sides.

•Has perpendicular diagonals.

Step-by-step explanation:

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maria took 7 hours to read a 259-page book and juanita took 5 hours to read a 175-page book. who read more pages per hour? expla

Temka [501]

Answer: Maria reads more pages per hour

Step-by-step explanation:

Maria - 37 pages per hour

259 = pages read

7 = hours

259/7

Juanita - 35 pages per hour

175 = pages read

5 = hours

175/5

3 0

3 years ago

Find , , and if and terminates in quadrant .

ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

• cos2x

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

$\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}$ $\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}$

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

$\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})$ $=\frac{12}{13}$

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

$\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\ \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}$

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

$\tan 2x=\frac{2\tan x}{1-\tan ^2x}$ $=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}$ $=\frac{\frac{4}{3}}{1-\frac{4}{9}}$ $=\frac{\frac{4}{3}}{\frac{9-4}{9}}$ $=\frac{\frac{4}{3}}{\frac{5}{9}}$ $=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}$

$\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}$

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0

1 year ago

What is the slope of the line through (3,2) and (-3,4)?

NISA [10]

Answer:

slope = - $\frac{1}{3}$

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )

m = $\frac{4-2}{-3-3}$ = $\frac{2}{-6}$ = - $\frac{1}{3}$

3 0

2 years ago

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alina1380 [7]

Answer:

36.8/2.8 = 16

Expression 1 = 368/28

Expression 2 = 3.68/.28

Step-by-step explanation:

If you move the decimal the same on both numbers of a division problem the answer stays the same.

5 0

3 years ago

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F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1

The domain of (f/g)(x) is all real numbers except 1.

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The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.

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3 years ago