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d1i1m1o1n [39]
1 year ago
10

Help please

Mathematics
1 answer:
Varvara68 [4.7K]1 year ago
3 0

Answer:

Step-by-step explanation:

we can break up the figure into 2 rectangles by extending the 8m side downward until it meets the bottom (see image)

Area of this rectangle = 10 * 2 =20 sq meters

Area of the other rectangle = 8 *2 = 16 sq meters

Total area = 36 sq meters

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Which data set could be represented by the box plot shown below?
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Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

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Each data set has 11 elements, sorted into increasing order.

<h3>extremes</h3>

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

<h3>median</h3>

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

<h3>quartiles</h3>

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

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8 0
2 years ago
Which system of equations corresponds to this matrix multiplication operation
faltersainse [42]

Answer:

Option (B)

Step-by-step explanation:

\begin{bmatrix}5 & 2 & 1\\ 7 & -5 & 2\\ -5 & 3 & 1\end{bmatrix}\times \begin{bmatrix}x\\ y\\ z\end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}

By applying multiplication property of the matrices,

\begin{bmatrix}(5x+2y+z)\\ (7x-5y+2z)\\(-5x+3y+z) \end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}

Therefore, system of equations formed will be,

5x + 2y + z = 16

7x - 5y + 2z = 3

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Option (B) will be the correct option.

3 0
2 years ago
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A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air h = −162 + 24t + 16.
dimulka [17.4K]
That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground

so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds
5 0
3 years ago
Which of these is an Irrational number?
finlep [7]

Answer:

the anser and the

Step-by-step explanation:

6 0
3 years ago
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SCORPION-xisa [38]

Answer:

27,280metres

Step-by-step explanation:

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27,280m

5 0
3 years ago
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