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2 years ago

Please help!! ill give BRAINLIEST!!!

Mathematics

2 answers:

devlian [24]2 years ago

4 0

1. Right Isosceles
2. Right Scalene
3.Acute Equilateral
4.Acute Scalene
5.Acute Isosceles
6.Obtuse Scalene
7. Obtuse Scalene
8. Obtuse Scalene
9.Acute Equilateral
10. Obtuse Isosceles

that’s all of them!! :)☺️

kenny6666 [7]2 years ago

3 0

1. Isosceles, right.

2. Scalene, right.

3. Equilateral, acute.

4. Scalene, acute.

5. Isosceles, acute.

6. Scalene, obtuse.

7. Scalene, obtuse.

8. Scalene, obtuse.

9. Equilateral, acute.

10. Isosceles, obtuse.

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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

10 months ago

Algebra 1 question : Solve for x : 3 - 5x + 6 = 14x - 32 + 10(2-x)

Zepler [3.9K]

Hi there!

$3 - 5x + 6 = 14x - 32 + 10(2 - x)$
Work out the parenthesis.

$3 - 5x + 6 = 14x - 32 + 20 - 10x$
Combine like terms.

$9 - 5x = 4x - 12$
Subtract 9 from both sides.

$- 5x = 4x - 21$
Subtract 4x from both sides

$- 9x = - 21$
Divide both sides by -9

$x = \frac{ - 21}{ - 9} = \frac{21}{9} = 2 \frac{3}{9} = 2 \frac{1}{3}$

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2 years ago

Read 2 more answers

(-2-√3) (-2+√3) when simplified is

Ksivusya [100]

Answer:

Step-by-step explanation:

(-2-√3)(-2+√3)

=-2(-2+√3)-√3(-2+√3)

=4-2√3+2√3-√9

=4-3

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2 years ago

What is 1.1428571429 as a what is fraction

polet [3.4K]

11428571429/10000000000 because all you have to do is say the number as a decimal and count the place values

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2 years ago

Tanzania [10]

Answer:

$45.50

Step-by-step explanation:

1. $65.00 ÷ 100 = 0.65

2. 0.65 x 30 = $19.50

3. $65.00 - $19.50 = $45.50

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1 year ago