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11Alexandr11 [23.1K]
3 years ago
10

Find the correct values for the variables that make the statement cos(h)=x/y true.

Mathematics
2 answers:
Stels [109]3 years ago
5 0

Answer:

The sum of the measures of the angles in a triangle is equal to 180 degree.

In triangle FGH;

\angle F + \angle G + \angle H = 180^{\circ}

or

\angle H = 180^{\circ} -{\angle F + \angle G}

Substitute the given values from the given figure we have;

\angle H = 180^{\circ} -{33^{\circ} + 90^{\circ}}

\angle H = 180^{\circ} -{123^{\circ}}

Simplify:

\angle H = 57^{\circ}

Given that:

\cos H = \frac{x}{y}

Using Cosine ratio:

\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}

In a given figure:

Base = GH = x and Hypotenuse = FH = y = 80 cm

Then;

\cos 57^{\circ}= \frac{x}{80}

or

x = \cos 57^{\circ} \cdot 80  

x = 0.54463903501 \cdot 80 \approx 43.57 cm

Therefore, the value of :

H = 57^{\circ}

x = 43.57 cm

y = 80 cm





Bogdan [553]3 years ago
3 0

Answer:

On edgeunity H=57 , X=GH , Y=80

the second part is 43.57 cm

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3 years ago
A survey asked 40 students If they play an instrument and if they are in band.
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Answer:

352x^2

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(40)1.25x2.20x3.20

+ − .   ln > <

× ÷ /   log ≥ ≤

( )    logx = %

1 Take out the constants.

(40\times 1.25\times 2.20\times 3.20)xx(40×1.25×2.20×3.20)xx

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​a

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​b

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