1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vichka [17]
3 years ago
9

A tree limb hangs 5 1/4 feet from a telephone wire. The city trims back the branch before it grows within 2 1/2 feet of the wire

. Will the city allow the tree to grow 2 3/4 more feet?
Mathematics
2 answers:
Andreas93 [3]3 years ago
5 0

Answer:

the city will let it grow 2(3/4) more feet but it will be cut if it grows any further

Step-by-step explanation:

Given A tree limb hangs 5(1/4) feet from a telephone wire

If the limb grows 2(3/4) more feet, then its distance from the wire will be:

distance = 5(1/4) - 2(3/4)

Distance = 21/4 - 11/4

Distance = 10/4 = 2(1/2)

Therefore, the city will let it grow 2(3/4) more feet but it will be cut if it grows any further.

Verdich [7]3 years ago
4 0

Answer: The city won't allow the tree to grow 2\frac{3}{4} more feet.

Step-by-step explanation:

We need to make the conversion from mixed numbers to improper fractions:

  • Multiply the whole number part by the denominator of the fraction.
  • The sum of this product and the numerator of the fraction, will be the numerator of the improper fraction.
  • The denominator does not change.

Then:

5\frac{1}{4}\ ft=(\frac{(5*4)+1}{4})\ ft=\frac{21}{4}\ ft\\\\2\frac{1}{2}\ ft=(\frac{(2*2)+1}{2})\ ft=\frac{5}{2}\ ft

We must subtract \frac{21}{4} and \frac{5}{2}.

Since the denominators are different, we must find the Least Common Denominator (LCD):

4=2*2=2^2\\\\2=2\\\\LCD=2^2=4

Finally, subtracting the fractions, we get:

\frac{21}{4}-\frac{5}{2}=\frac{(21)(1)-(5)(2)}{4}=\frac{11}{4}\ ft

To convert this result to mixed numbers:

  • When we divide the numerator 11 by the denominator 4, we get a quotient of 2. This will be the whole number.
  • We also get a remainder of 3. This will be the numerator of the fraction.
  • The denominator does not change.

Then:

\frac{11}{4}\ ft=2\frac{3}{4}\ ft

If the tree grows 2\frac{3}{4} feet more, will be at the limit allowe. According to the exercise, the city  trims back the branch before this limit.

Therefore, the city won't allow the tree to grow another 2\frac{3}{4} feet.

You might be interested in
What is the last thing you do as a check inside the car?
Vitek1552 [10]
I always make sure my hand brake is on
7 0
3 years ago
The conversion of ammonium cyanide to urea is a second-order reaction. This means that the concentration C of ammonium cyanide a
sergejj [24]

Answer:

your answer could be A

Step-by-step explanation:

6 0
3 years ago
What is 657 divided by 2 in long division? ​
Anvisha [2.4K]
The answer is going to 328.5 or 328.50 is the same thing
4 0
3 years ago
PLSSSS HELPPPP I WILLL GIVE BRAINLIEESTTT!!!!!!!!!! PLSSSS HELPPPP I WILLL GIVE BRAINLIEESTTT!!!!!!!!!!
Komok [63]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
Shianne is looking up at the flag on the top of the sailboat she is sailing on. She is sitting 16 feet from the bottom
storchak [24]

Answer:

height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)

Step-by-step explanation:

She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.

A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,

the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.

adjacent side = 16 ft

opposite angle = ?

using tangential ratio

tan 58° = opposite/adjacent

tan 58° = h/16

cross multiply

h = 16 × 1.60033452904

h = 25.6053524647

height of the flag from the bottom of the boat = 25.6053524647  + 6 = 31.6053524647

height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)

7 0
2 years ago
Other questions:
  • Ethan's school has a sports field with an area of 6,450.35 square yards. If the length of the field is 90.85 yards, what is the
    8·2 answers
  • Is h(x)=23 a linear function or no? Explain.
    6·2 answers
  • There are 140 members in a community sports program. Sixty-five percent of these members play soccer.
    15·1 answer
  • At a fair, the Pick-A-Duck game has 119 ducks to choose from, but only 17 of the ducks will win a prize. What is the probability
    14·1 answer
  • How would you get y by it's self​
    11·2 answers
  • Jolene earned a 75% on her last quiz. If there were 8 questions, how many did she answer correctly
    15·1 answer
  • Solve the problem down below:<br><br><br><br> ty :P
    9·1 answer
  • Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
    8·1 answer
  • Jackie bought 15 cookies for $3 . How much will she have to pay for 35?
    13·1 answer
  • 12 Times 12 = 144 right?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!