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zmey [24]
2 years ago
12

Please help i'm really stuck

Mathematics
1 answer:
sweet [91]2 years ago
3 0

how will apply the lesson i have learned in real life scenari

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The circumference of a circle is 9π m. What is the area of the circle? ASAP!
liubo4ka [24]

Answer:

20.25 m²

Step-by-step explanation:

the area (A) and circumference (C) of a circle are calculated using the formulae

C = 2πr and A = πr² ( where r is the radius )

calculate the radius using the formula for circumference

2πr = 9π ( divide both sides by 2π )

r = \frac{9\pi }{2\pi } = \frac{9}{2} = 4.5, hence

A = π × 4.5² = 20.25π m²


4 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}

OR

\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
HELP ASAP<br>Find the volume of the corner, R measures 10 feet, height measures 30 feet​
vazorg [7]

Answer:

3141.59

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I will make you brainliest pls help me
Licemer1 [7]

1) 8

2) 6(5x+2y) factor out greatest common factor

3) 10.8 just move over decimal two places to the left.

4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.

4 0
2 years ago
The diagram shows how 44 people figured out how to share 33 oranges. Which equation does NOT match the diagram? A)3÷4=3/4 B)3÷4=
Verizon [17]
The Answer Is D. 3÷4=4x1/3
8 0
2 years ago
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