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Use the Law of Sines to find the measure of angle J to the nearest degree.

rjkz [21]

$\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-----------------------------\\\\
\cfrac{sin(J)}{9.1}=\cfrac{sin(97^o)}{11}\implies sin(J)=\cfrac{9.1\cdot sin(97^o)}{11}
\\\\\\
\textit{now taking }sin^{-1}\textit{ to both sides}
\\\\\\
sin^{-1}\left[ sin(J) \right]=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)
\\\\\\
\measuredangle J=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)$

8 0

4 years ago

How do u teach long division

zavuch27 [327]

Explanation:

To do long division, follow the method pattern "DMS down".

D for divide.

M for multiply.

S for subtract.

Down is to bring down.

Use an example:

52 ÷ 2?

Divide 2 by the first digit of 52.

2 Whenever you divide, put the answer at the top.

2∫52

Multiply answer by number you are dividing by.

2

2∫52

4 When not dividing, put the work under the question.

Subtract.

2

2∫52

4

1

Bring down the next digit.

2

2∫52

4

12

Divide into the new difference 12.

26

2∫52

4

12

Multiply the new digit.

26

2∫52

4

12

Subtract.

26

2∫52

4

12

12

0 You stop when you get to 0. If you ran out of digits to bring down, write this as a remainder.

7 0

4 years ago

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Find the indicated side of the right triangle. 45° 6 45° 1 x X = ?1

LenKa [72]

X is 6 because it’s a 45 45 90 triangle. X and Y are the same length and Y is whatever y is *square root of 2.

7 0

3 years ago

500,000,000,000 in scientific notation

Alex Ar [27]

500,000,000,000 in scientific notation:
First you count to 0 zeros behind the 5 which is 11 zeros.
the scientific notation of 500,000,000,000 is:

₁₁
Answer: 5 x 10

I hop this helps :)

5 0

3 years ago

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The volume of this cube is 27 cubic meters. What is the value of m?

ladessa [460]

Hey ! there

Answer:

n is equal to 3 meters

Step-by-step explanation:

In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .

For finding the value of n we need to know the volume of cube. So ,

$\: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}$

Where ,

a refers to edge of cube

SOLUTION : -

Substituting given volume that is 27 m³ and value of a as n in formula :

$\quad \longrightarrow \qquad \: n {}^{3} = 27$

Applying cube root on both sides :

$\quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27}$

We get ,

$\quad \longrightarrow \qquad \:n= \sqrt[3]{27}$

We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,

$\quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar$

Henceforth , value of n is ❝ 3 meters ❞

Verifying : -

Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,

a³ = 27 ( where a is equal to n )

Substituting values :

( 3 )³ = 27

3 × 3 × 3 = 27

9 × 3 = 27

27 = 27

L.H.S = R.H.S

Hence, Verified .

Therefore, our answer is correct .

<h2>#Keep Learning</h2>

6 0

2 years ago

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