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kow [346]
3 years ago
9

How many equal sections divide a directed line segment if it is to be partitioned with a 7:10 ratio?

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0
The midpoint formula is x1+x2 over 2 and y1+y2 over 2. When you use it to find the midpoint of (0,-8) and (-4,10), you get (-2,1).

Slope formula is y2-y1 over x2-x1, which will give you -6.

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Omar has 2 3/4 cups of dough to make Dumplings. If he uses 3/16 cup of dough for each dumpling,how many whole dumplings can Omar
Brrunno [24]

Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.



5 0
4 years ago
Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ
Anit [1.1K]

Double angle identity for sine:

\sin(2x) = 2 \sin(x) \cos(x)

\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)

Factorize the left side.

2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)

Pythagorean identity:

\cos^2(x) + \sin^2(x) = 1

\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)

so that

\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}

8 0
2 years ago
A house was valued at $292,000 . Over several years, the value increased by 8%, giving the house a new value.
kkurt [141]

Answer:

315,360 I had to assume you needed that number, 292000+8%=315360

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3 years ago
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