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3 years ago

In the figure shown, which part of angles must be complementary?

Mathematics

1 answer:

gladu [14]3 years ago

4 0

Complementary angles are any 2 adjacent angles that make up 90°

knowing this, we see <COB is 90°, so now we just look for the 2 angles inside of it

<COD & <DOB

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Find the percent decrease round to the nearest percent from 93 Fahrenheit to 58 Fahrenheit the percent decrease is what percent

Elden [556K]

Answer:

Step-by-step explanation:

Initial value = 93 F
Final value = 58 F

Decrease

93 - 58 = 35 F

Percent decrease

35/93*100% = 38 % rounded

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3 years ago

The probability of rolling a 2 is 1/6 predict how many times a 2 will be rolled out of 30 rolls.

Anestetic [448]

Answer:

5 times

Step-by-step explanation:

Given that the probability of a 2 is $\frac{1}{6}$ then number of times a 2 will be rolled is

30 × $\frac{1}{6}$ = 5

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3 years ago

A bottom of a 6 foot deep circular pool has an area of 452.4 ft. If the pool is only

inna [77]

Answer:

450.4

Step-by-step explanation:

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3 years ago

Anyone know what 68010+01410 is

alex41 [277]

Put the first number on top then start adding 6+0, 8+1, 0+4, 1+1, 0+0 and the answer is 69420

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2 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