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Oduvanchick [21]
3 years ago
6

One number is 9 times another. Their product is 27 times their sum. Find the numbers.

Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

Answer:

270 & 30

Step-by-step explanation:

let the number is n,

the equation :

n× 1/9 n= 27(n +1/9 n)

1/9 n² = 27n + 3n

1/9 n² = 30n

1/9n²- 30n = 0

n(1/9n -30)= 0

n = 0 or

1/9n = 30 => n = 30×9 = 270

270 is a number,

the other : 270/9 = 30

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2sin² theta = sin theta for - 270° ≤ 0 ≤180°
sertanlavr [38]

Answer:

θ = 0°

θ = 30°

θ = 150°

θ = 180°

Step-by-step explanation:

2sin² θ = sin θ

Then

2sin² θ - sin θ = 0

Then

sin θ (2sin θ - 1) = 0

Then

sin θ = 0  or  2sin θ - 1 = 0

Then

sin θ = 0  or  sin θ = 1/2

…………………………………………

We have sin θ = 0 and - 270° ≤ θ ≤180°

Then

θ = 0 or θ = π = 180°

On the other hand,

sin θ = 1/2 and - 270° ≤ θ ≤180°

Then

θ = π÷6 or θ = 5π÷6

π÷6 = 30° and 5π÷6 = 150°

3 0
2 years ago
Please help! 7/20, will give brainliest. I do not tolerate spam answers!
PtichkaEL [24]
(X+2)(3x+1) !!!!!!!!!!!!!!!!!!
3 0
3 years ago
Determine the graph of the polar equation r = 25/10-25 sin(theta).
ludmilkaskok [199]

Answer:

  graph A

Step-by-step explanation:

A graphing calculator can plot this function for you.

If you divide numerator and denominator by 25, you get ...

  r = 1/(0.4 -sin(θ))

This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.

The graph of the hyperbola is the appropriate choice.

7 0
3 years ago
The following figure shows a square-based pyramid.
Nesterboy [21]

Answer:

A

Step-by-step explanation:

surface area is solving for the entire surface. Thus, you find the area of the triangles and the square base.

3 0
2 years ago
The area of a square is 625 cm^2. What is the measure of the diagonal to the nearest tenth?
anyanavicka [17]
Area = 625 cm^2


Area = s^2
Diagonal = s*sqrt(2)



625 = s^2
s = sqrt(625)
s = 25 cm.


Diagonal = s*sqrt(2)
= 25sqrt(2)
=35.36 cm.
=35.4 cm.
4 0
4 years ago
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