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Nonamiya [84]
3 years ago
8

To protect an elm tree in your​ backyard, you need gypsy moth caterpillar tape around the trunk. The diameter of the tree is 1.7

ft. Round the diameter to the nearest foot in order to estimate the length of tape needed. Use 3.14 for pi.
Mathematics
1 answer:
Vlad [161]3 years ago
8 0

Answer: 5 ft

Step-by-step explanation:

I believe you take the 1.7 ft and multiply it by pi and you get 5.338 so rounded it would be 5 ft.

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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
____ [38]

Answer: 70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

DE=AD+AE

<em />

Both triangles are right triangles. Therefore, you can calculate the distance  between the walls as following:

- Calculate the distance AD:

cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m

- Calculate the distance AE:

tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m

Therefore the distance between the walls is:

DE=30m+40m=70m

6 0
2 years ago
Read 2 more answers
How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

5 0
2 years ago
Read 2 more answers
A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f
viva [34]

Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = \frac{1}{4} hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       \frac{x}{6} =  Time taken while going

\frac{x}{4} = Time taken while coming back

    Substituting in (1) we get

      \frac{1}{4} =  \frac{x}{6} + \frac{x}{4}

      \frac{1}{4} =  \frac{2x + 3x}{12}

       \frac{1}{4} =  \frac{5x}{12}

      x= \frac{12}{20}

    x = 0.6 miles

Thus home is 0.6 miles away from the store

Learn more about time related  here :

brainly.com/question/12759408

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6 0
1 year ago
A graph is drawn with output on the vertical axis and input on the horizontal axis. What does a straight or “flat” segment indic
padilas [110]
When a graph is drawn with output on the vertical axis and input on the horizontal axis, this indicates that the straight or "flat" segment on the graph is the representation of a region where the output doesn't change in response to the input.
4 0
3 years ago
Can someone pls help me with this problem
VLD [36.1K]

Answer:

Rule= Y × 10

or

X ÷ 10

Step-by-step explanation:

7 0
3 years ago
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