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rusak2 [61]
2 years ago
13

A tree has a shadow that is 9 feet long Otis is 4 feet tall and is standing next to the tree Otis has a shadow that is 4.5 feet

long how tall is the tree

Mathematics
2 answers:
Scilla [17]2 years ago
8 0

The tree is 8 feet tall.

Triss [41]2 years ago
5 0

Answer: 8 feet.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. First, you can draw the diagram shown in the image attached.

3. Now, you must use proportions and solve for x, which is the height of the tree:

\frac{x}{9}=\frac{4}{4.5}\\x=\frac{(4)(9)}{4.5}\\x=\frac{36}{4.5}\\x=8

4. As you can see, the height of the tree is 8 feet.


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Answer:

Step-by-step explanation:

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Marat540 [252]
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2 years ago
Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A fo
jeka94

Answer:

(a) F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

Step-by-step explanation:

(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either

A is heads and the others are tails (AB'C')

B is heads and the others are tails (A'BC')

C is heads and the others are tails (A'B'C)

Hence, as a minterm expansion,

F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) To get the corresponding maxterm expansion, we convert to binary.

F(A, B, C) = \sum (100, 010, 001) = \sum(4,2,1)

The maxterm is the product of the complements.

F(A, B, C) = \prod (0, 3, 5, 6, 7) = \prod(000, 011, 101, 110, 111)

Expanding,

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3 years ago
Question
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Given:

(2, 4) and (3, 3) are on the line.

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The equation of line in point slope form.

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y-y_1=m(x-x_1)

(2, 4) and (3, 3) are on the line. So, slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

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m=\dfrac{-1}{1}

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y-4=-1(x-2)

Therefore, an equation of the line in point slope form is y-4=-1(x-2).

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2 years ago
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Step-by-step explanation:

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2 years ago
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