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zaharov [31]
3 years ago
12

What angle has the same sine value between 0-180? as Sin 24

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

Sin156

Step-by-step explanation:

Given

Sin24

Required

Find equivalent between 0 to 180;

Let 24 be represented by \theta

So, \theta = 24

From Trigonometry ratios;

Sin\theta = Sin(180 - \theta) where 0\leq \theta \leq 180

Recall that \theta = 24

So, we have to substitute 24 for \theta in the above expression.

This gives

Sin24= Sin(180 - 24)

Subtract 24 from 180

Sin24= Sin156

Hence, the equivalent of Sin24 is Sin156

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If y = 124 and x = 12, find y when x = -24.
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Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

\displaystyle\frac{124}{12} =\frac{y}{-24}

Cross-multiply:

12y=(-24)(124)\\12y=-2976\\y=-248

I hope this helps!

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2 years ago
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
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If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the
pogonyaev

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

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3 0
2 years ago
Please help me with this question
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Answer:

A

Step-by-step explanation:

Remark

f and d are equal (and acute) because they are corresponding angles.

82 and f are supplementary, so we can find f

Finding f

f + 82 = 180

f = 180 - 82

f = 82

Finding d

d = f

d = 82

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2 years ago
The length of a rectangle 1.6 times longer with the sum of width and length being 130 feet
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<span>Let  be the length, and  be the width.
If the length is 1.6 times the width, then

If the sum of the length and with (in feet) is 130, then
</span><span>Substituting in the equation above, the expression  for , we get
 -->  -->  --> 
Ten, substituting the value found for  in  we find
 --> 
The two equations we set up at the start form a system of linear equations:

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