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2 years ago

How many 12-inch rulers will be about the same length as a flag

Mathematics

1 answer:

Sladkaya [172]2 years ago

3 0

How long is the flag

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Which number line represents the solution set for the inequality -1/2 > 4

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5g + 7g and g(5 + 7) when g=6

oksian1 [2.3K]

Answer:

Value of equation = 144

Step-by-step explanation:

Given:

5g + 7g + g(5 + 7)

when g = 6

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Value of equation

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5g + 7g + g(5 + 7)

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2 years ago

Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

Arada [10]

Answer:

$RS=2.4\ units$

Step-by-step explanation:

<em>The complete question is </em>

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{QR}{sin(S)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}$

Solve for sin(S)

$sin(S)=\frac{sin(80^o)}{3.1}(2.4)$

$S=sin^{-1}[sin(80^o)}{3.1}(2.4)]$

$S=49.68^o$

step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

$m\angle Q+m\angle R+m\angle S=180^o$

substitute the given values

$m\angle Q+80^o+49.68^o=180^o$

$m\angle Q+129.68^o=180^o$

$m\angle Q=180^o-129.68^o$

$m\angle Q=50.32^o$

step 3

Find the length of segment RS

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}$

$RS=\frac{3.1}{sin(80^o)}{sin(50.32^o)}$

$RS=2.4\ units$

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2 years ago