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forsale [732]
3 years ago
12

A 10 foot pole casts a 15 ft shadow. At the same time, a tree casts a 24 foot shadow. How tall is the tree

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

1. Set up a ratio for the pole comparing height to shadow length:

   10 feet tall / 15 feet shadow

2. Set this ratio equal to a similar ratio for the tree:

    \dfrac{10 \text{ feet tall}}{15 \text{ feet shadow}}  =\dfrac{x \text{ feet tall}}{24 \text{ feet shadow}}

 

3. Solve the equation by multiplying by 24 on both sides of the equation:

    24 \cdot \dfrac{10}{15}  = x

   

      x = 16 feet

hichkok12 [17]3 years ago
4 0

Answer:

41

Step-by-step explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41

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Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

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3 years ago
Graph x&lt;2.
bazaltina [42]

Answer:

A graph showing a range of negative three to two on the x and y axes. A dotted line with arrows at both ends that passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.

Step-by-step explanation:

The inequality given is x < 2. This means x is less than two are the values that satisfy the equation.

The equation can be written as x=2 to identify the position where the line will pass. The line is dotted and will pass through x=2 to be parallel with the y-axis.

The second and third answers are not correct because the line should not be solid.

The first answer is not correct because the shaded part should be to the left of the line.

5 0
3 years ago
Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay
Anna71 [15]

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

\frac{26,000-7,352.24}{12}

Now all we have to do is solve!

\frac{26,000-7,352.24}{12}

  • Subtract.

\frac{18,647.76}{12}

  • Divide.

1,553.98

Answer:

Latoya will get paid $1,553.98 with each paycheck.

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2 years ago
What does rigid mean? (geometry wise)
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Answer:

A shape that can be pushed to make a different shape

Step-by-step explanation:

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2 years ago
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