In ΔMNO, m = 89 inches, n = 30 inches and o=71 inches. Find the measure of ∠M to the nearest degree.

Answers

Answer 1

Answer:118

Step-by-step explanation:

Trust me

Answer 2

In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the measure of angle ∠M, we need to use the law of cosines, which states that:

c² = a² + b² - 2ab cos(C)

To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:

m²= n² + o² - 2no cos(∠M)

Substituting the given values, we get:

89² = 30² + 71² - 2(30)(71) cos(∠M)

Simplifying and solving for cos(∠M), we get:

cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))

cos(∠M) = -0.4402

To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:

∠M = 118.7 degrees

Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

To learn more on trigonometry click:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Bill is making accessories for the soccer team. He uses 777.35 inches of fabric on headbands for 32 players and 3 coaches. He also uses 301.76 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches

Step-by-step explanation:

Let fabric used on each headband = [tex]h[/tex] inches

Let fabric used on each wristband = [tex]w[/tex] inches

Number of players for which headband is made = 32

Fabric used on 32 players = 32[tex]h[/tex] inches

Number of coaches for which headband is made = 3

Fabric used on 3 coaches = 3[tex]h[/tex] inches

As per question statement:

Total fabric used on headbands = 777.35 inches

[tex]32h + 3h = 777.35\\\Rightarrow 35h = 777.35 inches \\\Rightarrow h = 22.21\ inches[/tex]

Number of players for which wristband is made = 32

As per question statement:

Fabric used on wristbands = 301.76 inches

[tex]32w = 301.76\\\Rightarrow w = 9.43\ inches[/tex]

Therefore, the answer is:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches

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Answers

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Step-by-step explanation:

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Answers

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