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oee [108]
3 years ago
10

Divide (3 5/9) by negative( 2 2/3)

Mathematics
2 answers:
MrMuchimi3 years ago
8 0

Answer:

- 1 \frac{1}{3}

Step-by-step explanation:

3 \frac{5}{9}  =  \frac{9 \times 3 + 5}{9}  =  \frac{27 + 5}{9}  =  \frac{32}{9}

- 2 \frac{2}{3}  =  -  \frac{3 \times 2 + 2}{3}  = -   \frac{6 + 2}{3}  =   - \frac{8}{3}

3 \frac{5}{9}  \div ( - 2 \frac{2}{3} ) =  \frac{32}{9}  \div ( -  \frac{8}{3} ) =  \frac{32}{9}  \times ( -  \frac{3}{8} ) =   - \frac{32 \times 3}{9 \times 8} =  -  \frac{4}{3}  =  - 1 \frac{1}{3}

Nostrana [21]3 years ago
6 0
I’m pretty sure it’s 1 1/3
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Divide. Write the quotient in the lowest terms 12 divided by 1 and 1 over 5
IgorLugansk [536]

you turn 1 and 1 over 5 into 6 over 5. then divide.

12 divided by 6 over 5 equals 10

6 0
3 years ago
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
Answer all please, thank you :)
prisoha [69]

The angles in a triangle add up to 180 degrees.  That's the same sum as a linear pair, which we get when two lines cross.

1. 180 - 65 - 45 = 70

Answer: 70°

2. 180 - 90 - 35 = 55

Answer: 55°

3. 180 - 120 = 180 - 50 - x

x = 70

Answer: 70°

6 0
3 years ago
Read 2 more answers
Solve for x<br> Please help
Igoryamba

Answer:

3. A; 4. C; 5. D; 6. D

Step-by-step explanation:

3. By Pythagorean theorem, x^2=100-64=36, x=6

4. By Pythagorean theorem, x^2=81-36=25, x=5

5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4\sqrt{2}. (the ratio is 1:1:\sqrt{2} by Pythagorean theorem)

6. Like Question #5, the ratio is 1:1:\sqrt{2} since it is an isosceles triangle, the leg is 8.

4 0
3 years ago
Jennifer began an exercise program in which she ran 4 blocks the first day and then two blocks more than the previous day for ea
Andrews [41]

Answer:

84 blocks.

Step-by-step explanation:

If you are adding 2 to each day (which already has 4) in a 2 week period (14 days) than you would have to time 2(14) and 4(14) and add them. Thus would make the answer 84 blocks.

5 0
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