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LenaWriter [7]
1 year ago
7

Bilal's fishing line was on a spool with a radius of 4 \text{ cm}4 cm4, start text, space, c, m, end text. Suddenly, a fish pull

ed on the line, and the spool spun 161616 times before Bilal began to reel in the fish. What is the distance the fish pulled the fishing line?
Mathematics
1 answer:
Fantom [35]1 year ago
3 0

Answer:

The distance the fish pulled the fishing line is <u>401.92 cm.</u>

Step-by-step explanation:

Given:

Radius of fishing spool = 4 cm.

Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.

Now, to find the distance the fish pulled the fishing line.

So, to get the circumference of the spool first we put formula:

Radius(r) = 4 cm.

Value of π = 3.14.

Circumference = 2\pi r

Circumference=2\times 3.14\times 4

Circumference=25.12\ cm.

<em>As given, fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.</em>

Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:

16\times 25.12\\\\=401.92\ cm.

Therefore, the distance the fish pulled the fishing line is 401.92 cm.

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In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B.
nekit [7.7K]

Answer:

(2b - 5) + b + (b + 80) = 983

Step-by-step explanation:

Given that,

Total score of three teams = 983

Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.

So,

The scores of Team A = (2 * b) - 5

The scores of Team B = b

The scores of Team C = (b + 80)

Thus,

The equation for determining the total points of Team B would be:

(2b - 5) + b + (b + 80) = 983

On solving,

(2b - 5) + b + (b + 80) = 983

⇒ 2b + b + b = 983 + 5 - 80

⇒ 4b = 908

⇒ b = 908 ÷ 4

⇒ b = 227

Team B's score = 227

Team A's score = (2 * 227 - 5)

= 449

Team C's score = 227 + 80

= 307

Total ⇒ 449 + 227 + 307 = 983

Hence proved.

6 0
1 year ago
Tennessee has a population of about 6,495,978. Its territory can be modeled as a trapezoid, as shown in the figure. Each unit on
kotegsom [21]

Answer:

The population density is 150 persons per square mile

Step-by-step explanation:

Firstly, we need to calculate the area of the trapezoid.

Mathematically, the area of a trapezoid is

(a+b)/2 * h

from the grid, we can obtain the lengths

on the x-axis , each line is 40(200/5 thin lines)

on the y-axis, each thin line also is 40(200/5 thin lines)

thus a = (8 * 40) = 320

b = (10* 40) = 400

h = (3 * 40) = 120

Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units

since each unit = 1 mile, the area of Tennessee = 43,200 units

The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile

3 0
2 years ago
Which table represents a linear function?
Nana76 [90]

Answer: table 1.

Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount

4 0
1 year ago
Mario has a 500 page novel which he is required to read over summer break for his upcoming language arts class if Mario read 24
KonstantinChe [14]

Answer:

p(d) = 24p + 500d

Step-by-step explanation:

p(d) = 24p + 500d

hopefully this helps ;)

Can you answer my question pleaseeee?

3 0
2 years ago
Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld?
lapo4ka [179]
It will be minus $129.04
7 0
2 years ago
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