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Karolina [17]
3 years ago
7

Trina, James, and Michael are training for a 10-kilometer race. After 30 minutes of a training run, Michael lead the group, and

James had run 1/2 of Michael's distance. Trina had run 2/3 the distance James ran. Which fraction of Michael's distance did Trina run?
Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

1/3

Step-by-step explanation:

1/2 James' fraction of Michael

2/3 Trina's fraction of James

1/2 x 2/3 = 1/3

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6. The following graph can be described using an equation of the form y = A cos(x)+C. Determine the
liraira [26]

Answer:

A = 7 and C = 2

Step-by-step explanation:

the constant C represents the average value of the wave. To find its value, we need to calculate the average between the y-coordinates of the highest and the lowest point.

The highest point has y = 9, and the lowest point has y = -5, so we have:

C = (9 - 5)/2 = 4/2 = 2

The value of A represents the increase in the amplitude of the wave.

For A = 1, the amplitude is 2 (lowest point = average - 1, highest point = average + 1)

So, in this case, the amplitude is the difference in the y-coordinates of the highest and the lowest point, and A is equal half the amplitude:

A = (9 - (-5)) / 2 = (9 + 5)/2 = 14/2 = 7

3 0
3 years ago
A company makes an ice-cream treat in the shape of a hemisphere on top of a cone, as shown below.
lesya [120]

Answer:

56/3 pi  cm^3

Step-by-step explanation:

1/2 volume of sphere = 1/2  4/3 pi r^3

volume of cone   1/3 pi r^2 h

r =2   h = 10  

result :  56/3 pi  cm^3

6 0
2 years ago
Which One Doesn't Belong?<br> Why?
Tanya [424]

Answer:

C because the line doesn't touch the x axis

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Please help ! ! I don’t know what I’m doing lol
Liono4ka [1.6K]

Answer:

dont worry im on it bro

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Need help asap please!
Montano1993 [528]

Answer:

  • determinant: -15
  • x = 3; y = 4; z = 1

Step-by-step explanation:

The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.

<h3>coefficient matrix, determinant</h3>

The first attachment shows the coefficient matrix and its determinant.

__

<h3>solution</h3>

The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

  \textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}

This multiplication is shown in the second attachment. It tells us ...

  \textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right]

4 0
2 years ago
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