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serg [7]
3 years ago
7

A kite is flying 12 ft off the ground. Its line is pulled taut and casts an 8 -ft shadow. Find the length of the line. If necess

ary, round your answer to the nearest tenth.
Mathematics
1 answer:
LenKa [72]3 years ago
6 0
Answer

14.4 ft~

Step-by-step explanation

A kite is flying 12 feet off the ground, therefore the height is 12 (assuming the line is tied to the ground if a person is holding the line then the height would be less)

Assuming the sun is positioned in such a way that the shadow represents a horizontal distance. Horizontal distance of shadow = 8

Use Pythagoras Theorem

Where a^2 + b^2 = c^2

8^2 + 12^2 = 208

Square root 208 = 14.4~

~ Hoodini, here to help :)
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Find the stated lengths in each parallelogram
alexandr1967 [171]

Answer:

40/3, 172/3, respectively

Step-by-step explanation:

x + 9 = 2y

2x = 2y + 2

x + 9 = 2(2x - 2)

4x - 4 = x + 9

3x - 13 = 0

x = 13/3

y = 40/6

RT = 13/3 + 9 = 40/3

QS = 160/3 + 4 = 172/3

8 0
3 years ago
Please help !!!!!!! Will mark brainliest for the correct answer !!!!!!!!
Sholpan [36]

Answer:

Step-by-step explanation:

-2m - 5n = 7m - 3n

-9m - 5n = -3n

-9m = -2n

m = 2n/9

g(m)= 2n/9

7 0
3 years ago
Read 2 more answers
A father is 32 years older than his son. In four years,
sergiy2304 [10]

Answer:

  • father: 36
  • son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

  5(s+4) = (s+32)+4

  5s +20 = s +36 . . . . . eliminate parentheses

  4s = 16 . . . . . . . . . . . . subtract s+20

  s = 4

The son is now 4 years old; the father, 36.

_____

<em>Alternate solution</em>

In 4 years, the ratio of ages is ...

  father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

  father : son = 40 : 8

So, now (4 years earlier), the ages must be ...

  father: 36; son: 4.

5 0
3 years ago
Round to the nearest thousand 16,051<br>​
djverab [1.8K]

Answer:

16,000

Step-by-step explanation:

to round to the nearest thousand you must look at the thousands place and then look to the number next to it

if the number is 0 1 2 3 or 4 the thousands place stays the same

if the number is 5 6 7 8 or 9 the thousands place goes up one

in this case it is 0

so it stays the same

16,000 is your answer

5 0
2 years ago
Read 2 more answers
Watch help video
CaHeK987 [17]

The probability the next customer pays using a debit card based on the last three weeks is 30% or 0.3.

<h3>What is a probability?</h3>

This is the chance or likelood for an event to occur. For example, if in a city it has snowed every year on December 25th, there is a high probability it will snow this year and in the next years.

<h3>How to calcuate the probability?</h3>

Total of a specific outcome/ total of outcomes

Based on this, let's calculate the probability the next customer pays using the debit card:

  • Total that pay with debit card: 21 customers
  • Total of customers: 70 customers
  • 21/ 70 =0.3 or 30%

Learn more about probability in: brainly.com/question/11234923

#SPJ1

4 0
2 years ago
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