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Savatey [412]
2 years ago
15

If a 25-meter flagpole casts a shadow that is 50 meters long, how long is the shadow cast by a tree that is 40 meters tall

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
7 0

Answer:

The shadow cast by the tree is 80 meters long.

Step-by-step explanation:

Flagpole:

object/shadow

25/50 = 1/2

Tree:

object/shadow

40/x

Solve for x:

1/2 = 40/x

x = 80

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Interest earned = rate charged × amount invested

Interest = 3/100 × $3000 = $90

Account balance after one year = Amount invested + Interest earned

Account balance after one year = $3000 + $90 = $3090

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3 years ago
A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes,
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Answer:

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6 0
3 years ago
(12x + y + z = 26
mel-nik [20]

Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

The linear system A is represented as

\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}26\\17\\23\end{array}\right].

Step 3:

The linear system B is represented as

\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}23\\17\\26\end{array}\right].

Step 4:

The linear system C is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}4\\11\\12\end{array}\right].

Step 5:

The linear system D is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}12\\11\\4\end{array}\right].

Step 6:

Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.

4 0
3 years ago
This system has one solution, what is the y-coordinate of the solution.
Lyrx [107]
The coordinates would be -3, 10.
This Website helps a lot. www.meta-calculator.com
5 0
2 years ago
The table below shows 10 data values 125 138 132 140 136 136 126 122 135 121 What values of minimum, Q1, median, Q3, and maximum
Troyanec [42]
We have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)

minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140
4 0
3 years ago
Read 2 more answers
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