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Ratling [72]
3 years ago
12

What is the volume of this figure?

Mathematics
1 answer:
AysviL [449]3 years ago
4 0
What figure , are you trying to figure the volume for
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Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

sin(\frac{x}{2} + 2x) = cos(2x +\frac{3x}{2})

Or, cos(90° - (\frac{x}{2}+2x)) =  cos(2x +\frac{3x}{2})

SO, (90° - (\frac{x}{2}+2x)) = 2x+\frac{3x}{2}

Or, 90° =  2x+\frac{3x}{2} + \frac{x}{2}+2x

or, 90° = \frac{4x}{2} + 4x

Or,  90° =  \frac{12x}{2}

So, x =  \frac{90}{6} = 15°

∴ sin(\frac{x}{2} + 2x) = sin(\frac{15}{2} + 30)

So, sin(\frac{x}{2} + 2x) = sin\frac{75}{2}

∴  The value of Ф_1 = \frac{75}{2} = 37.5°

Similarly  cos(2x +\frac{3x}{2}) =  cos(30 +\frac{45}{2})

So ,The value of Ф_2 = \frac{105}{2} = 52.5°

∵ β   α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5°  Answer

7 0
3 years ago
Solve for x. Show your work.<br><br> -1/2 x &lt; -12
lesantik [10]
All you need to do is divide -1/2 onto the other side.

-1/2x<-12

-12/ (-1/2)= 6 (a negative and a negative equals a positive)

Also, since you are dividing a negative, you flip the sign.

x>6

I hope this helps!
~cupcake
3 0
3 years ago
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If a publisher of nontechnical books takes great pains to ensure that its books are free of typos, so that the probability of an
Troyanec [42]

Answer:

(a) 0.2707

(b) 0.8576

Step-by-step explanation:

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What is 100 ÷ 5 × 4 + 43 <br> A. 69<br> B. 144<br> C. 0.3<br> D. 1.2
inn [45]
123 - Use PEMDAS but since you have both division and multiplication you can just go from left to right
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3 years ago
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Please answer and thank you
Aleksandr [31]
5.945 is the answer, can i get brainliest
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