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Mademuasel [1]
2 years ago
7

Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are standing 140 feet away from th

e tree and the tree casts a 160-foot shadow, how tall could you be and still be completely in the shadow of the tree? x 160 ft 140 ft 32 ft
Mathematics
1 answer:
Ghella [55]2 years ago
3 0

Answer:

Height = 4 feet

Step-by-step explanation:

To determine how tall I can be we take the difference between the shadow cast by the 32-feet tree and the distance away from the tree

But the tree is 32 feet tall but on shadow it's 160

So lemme determine how long I'll be in my shadow first

Distance away from tree= 140 feet

Length of shadow cast by tree

= 160 feet

Length of shadow= 160-140

Length if shadow= 20 feet

My height= x

X/20= 32/160

X= 20*32/260

X = 4 feet

Height = 4 feet

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There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S
Ksju [112]

Answer:

C

Step-by-step explanation:

Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.

6,678,000/126,200,000 ≈ 0.05 = 5%

8 0
3 years ago
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4a-b<br> Evaluate the expression when a=5 and b=-7
stepladder [879]

Answer:

27

Step-by-step explanation:

So first we need to plug in 5 as the variable a and -7 as the variable b

4(5)-(-7)

Next we multiply the 4 and the 5 together to get 20

4(5) = 20   or    4 x 5 = 20

20-(-7)

Now we subtract negative 7 from 20

20-(-7) = 27

This can also be written as 20 plus 7 as a mathematical rule states: two negatives make a positive. So:

20-(-7) = 20 + 7

Both of these are equivalent in every sense of the word and give us our final answer of 27

8 0
3 years ago
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Despite popular belief, investigators have gotten a tip that the Loch Ness Monster is actually being kept as a pet in a Scottish
romanna [79]
<h3>Answer:</h3>

room 3 or 4

<h3>Explanation:</h3>

We assume the inequalities tell the rooms that were checked and found empty.

The solution to 3) is ...

... 2x + 3 > 11

... 2x > 8 . . . . . subtract 3

... x > 4 . . . . . . .divide by 2

The solution to 4) is ...

... -3x > -9

... x < 3 . . . . . . divide by -3

Thus, rooms greater than 4 and less than 3 were found empty. Rooms 3 and 4 were not checked, so either one could hold Nessie.

_____

The other inequalities have solutions that are already covered by the solutions to these.

1) x < -1 . . . . after subtacting 4

2) x > 5 . . . . after multiplying by 5

8 0
2 years ago
Function 1 is defined by the equations r=3/4t +5<br> Function 2 is defined by the following table
Dvinal [7]

Function 2 has a greater y-intercept

<h3>Graphs</h3>

Graphs can be used to represent functions, equations, tables and relations

<h3>Equations</h3>

The equation of function 1 is given as:

r =\frac 34t + 5

To calculate the y-intercept, we set t to 0.

So, we have:

r =\frac 34 \times 0 + 5

r =5

For the table of function 2, the y-intercept is 5.25

By comparison:

5.25 is greater than 5

Hence, function 2 has a greater y-intercept

Read more about graphs and functions at:

brainly.com/question/3939432

7 0
2 years ago
15 _2_3 = 9<br> Fill in the gaps from left to right.
ruslelena [56]
15-2x3=9 following the rule of PEMDAS
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2 years ago
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