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BabaBlast [244]
3 years ago
5

The circumference of a circle is 100.48 feet. What is the circle's diameter?

Mathematics
2 answers:
lukranit [14]3 years ago
7 0

Answer:

32 feet

Step-by-step explanation:

Since we know that the formula for finding circumference is C = π · d, and π is equal to 3.14, we reverse the formula so it fits what information we have.

We know that C = 100.48 and we also know that π = 3.14 so all we have to find is the diameter.

To do this, you divide 100.48 by 3.14 to get 32 feet as your final answer.

sweet-ann [11.9K]3 years ago
5 0

Answer:

631.334460 ft

Step-by-step explanation:

i think

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In his first year, a math teacher earned $32,000. Each successive year, he
Ivan

Answer:

Step-by-step explanation:

Each successive year, he

earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence(amount earned in the first year).

r represents the common ratio.

n represents the number of terms(years).

From the information given,

a = $32,000

r = 1 + 5/100 = 1.05

n = 20 years

The amount earned in his 20th year, T20 is

T20 = 32000 × 1.05^(20 - 1)

T20 = 32000 × 1.05^(19)

T20 = $80862.4

To determine the his total

earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as

Sn = (ar^n - 1)/(r - 1)

Therefore, the sum of the first 20 terms, S20 is

S20 = (32000 × 1.05^(20) - 1)/1.05 - 1

S20 = (32000 × 1.653)/0.05

S20 = $1057920

3 0
3 years ago
2 and 4 seemed really confusing , please help :(
artcher [175]
2. This question is basically asking you to factor 6x² - x - 12, so that one bracket is (2x - 3) and the other bracket is your answer. If you do factor 6x² - x - 12, you get (2x - 3)(3x + 4), so your answer would be J. 3x + 4.

4. Again you are factoring, so you would get your answer as (x + 3)(x - 2), which is answer F.

I hope this helps! Let me know if you would like me to show you how I factored :)
7 0
3 years ago
a chef has 5 blocks of butter. Each weights 1 pound. she cuts each block into fourths. how many 1/4 pound pieces of butter does
lianna [129]
The answer would be 20 because you have 5 blocks that are cut into 1/4. It doesn't say anything about any of the pieces disappearing or being used yet so you multiply 4*5 and then you get the answer.
8 0
3 years ago
Find two consecutive numbers with a product of 121
Crank
One number: x
Its consecutive:  x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
6 0
3 years ago
Can somebody please help me solve this
Semenov [28]
I can't see it well sorry
8 0
4 years ago
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