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shepuryov [24]
3 years ago
15

A library has 167 trees on their property, but they are having trouble growing grass so they need to pay to have trees cut down

each year until the property has less than 50 trees. If they can pay to have only four trees cut down this year, but eight trees cut down every year after that, in how many years will they have less than 50 trees on their property?
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer:

15 years

Step-by-step explanation:

<u>Given:</u>

  • Number of trees = 167
  • This year limit = 4 trees
  • Yearly limit following years = 6 trees per year
  • Target number of trees = 50

<u>Building inequality:</u>

  • 167 - 4 - 8x < 50
  • 8x > 113
  • x > 113/8
  • x > 14.125

Adding current year to 14 we get 15 years as answer

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I need help with pythagoras’ theorem
fomenos

Answer:

Pythagoras’ theorem  is a way to find a side or hypothesis when you have 2 sides.  

The formula is:  a^2 + b^2 = c^2

a and b are sides

c is the hypothesis

<u>Ex:  A triangle has a leg that is 5 inches and a leg that is 7 inches.  Find the hypothesis using Pythagoras' theorem.  </u>

A leg is another way of saying a side.

5^2 + 7^2 = c^2

25 + 49 = x^2

sqrt(74) = sqrt(x^2)

sqrt(74) inches = hypothesis

<u>Ex:  A triangle has a leg that is 9 feet and a hypothesis that is 25 feet.  Find the other leg using Pythagoras' theorem. </u>

9^2 + b^2 = 25^2

81 + b^2 - 81 = 625 - 81

sqrt(b^2) = sqrt(544)

b = sqrt(554)

Do you understand more?

4 0
3 years ago
Which lengths could be the sides of a triangle?
Ugo [173]
The answer is A. 17 cm, 5 cm, 13 cm

For the triangle:
a+b > c
b+c > a
a+c > b

Check all choices:
<span>A. 17 cm, 5 cm, 13 cm
a = 17
b = 5
c = 13
17+5 = 22
22 > 13
5+13= 18
18 > 17
17+13=30
30>5

If you check other choices, you will see they are incorrect.</span>
5 0
3 years ago
Read 2 more answers
A plane flies from Houston to New York City in 4 hours the distance I traveled was 1627 miles what is the average speed of the p
Nikolay [14]
1627 / 4 = 406.75 miles per hr
5 0
3 years ago
X/x^2-16-7/x^2+5x+4  simplify
Lana71 [14]
<u>5x³ - 12x² + -7</u>
         x²
Simplified answer.
4 0
3 years ago
Which calculation could not be used to find the percentage change
bogdanovich [222]

Answer:

Option (B).

Step-by-step explanation:

Percentage change between two numbers a and b can be calculated by the formula,

% change = \frac{|b-a|}{a}\times 100

Where, (b - a) = Change in values

a = Initial value

If a = 16 and b = 20

Percentage change between 16 and 20 will be,

= (\frac{20-16}{16})\times 100

= \frac{4}{16}\times 100

= 25%

If a = 20 and b = 16,

Percentage change = \frac{|16-20|}{20}\times 100

                                 = 20%

Therefore, %change between 16 and 24 may be 16% or 20%.

Option (A),

\frac{20-16}{16}\times 100 = 25%

Option (B),

\frac{20}{16}-1\times 100 = 1.25 - 1 × 100

                   = 1.25 - 100

                   = -98.75%

Option (C),

100\times \frac{1}{4} = 25%

Option (D),

\frac{(20-16)}{20}\times 100 = 20%

Therefore, we can not use the calculation used in Option (B).

6 0
3 years ago
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