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aalyn [17]
3 years ago
6

Sin(3x-16)=cos(4x-6) x=?

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0
sin(3x-16)=cos(4x-6) \\  sin(3x-16)=sin( \frac{ \pi }{2} -(4x-6)) \\ 3x-16=\frac{ \pi }{2} -(4x-6)
3x-16=\frac{ \pi }{2} -4x+6
then :
<u />3x-16=2k \pi +(\frac{ \pi }{2} -4x+6) \\ 7x=2k \pi +\frac{ \pi }{2}+22 \\ x= \frac{2k \pi}{7}  +\frac{ \pi }{14}+ \frac{22}{7}
and \\ 3x-16=2k \pi + \pi -(\frac{ \pi }{2} -4x+6) \\ 3x-16=2k \pi + \pi -\frac{ \pi }{2} +4x-6 \\ -x=2k \pi + \frac{ \pi }{2}+10 \\ x=-2k \pi - \frac{ \pi }{2}-10
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A triangle has angle measures of 47 degrees and 92 degrees. What is the measure of the third angle?
ludmilkaskok [199]

Answer:

The missing angle is 41 degrees

Step-by-step explanation:

First of all, a triangle is measured at 180 degrees in total

To find the missing measurement for the third angle, add the 47 and 92 degrees together which would equal 139 degrees.

47+92=139 degrees

Next just subtract 139 from 180 to get your answer.

180-139=41 degrees

The answer is 41 degrees

<u><em>Hope this helps</em></u>

5 0
3 years ago
claudia is making a gelatin desseert for a party.She plans on making 12 servings for every 5 people.If each pan claudia uses to
prisoha [69]
First we need to find the total amount of servings needed.

(x2) 12 servings/5 people (x2)
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Now we can find the amount of pans needed

24 servings/8 servings (1 pan)
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She needs at least 3 pans
5 0
3 years ago
Find the width of the rectangular prism when the surface area is 208 square centimeters.
ozzi
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
7 0
4 years ago
What is the value of the output when the<br> input is 18?
ludmilkaskok [199]

Answer:

Any number less than greater than or equal to 18

Step-by-step explanation:

4 0
3 years ago
3. In the statement 567 +39 = 606, which number is the sum?
Doss [256]
Answer: D.606 is the sum
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3 years ago
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