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r-ruslan [8.4K]
1 year ago
8

The circumference of the hub cap of a tire is 80.07 centimeters. find the area of this hub cap. use

Mathematics
1 answer:
NNADVOKAT [17]1 year ago
6 0

The area of this hub cap is about  510.44625 cm².

<h3>What is Area of Circle?</h3>

The area of circle is pi times the square of the radius.

Area of circle =π r²

Circumference (C) = 2π r

80.07 = 2 (3.14) r

76.87/ (2x 3.14) =r

r = 12.75 cm

now, Area be

=π r²

= 3.14*12.5*12.75

=510.44625 cm²

Learn more about this concept here:

brainly.com/question/16866711

#SPJ1

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What is the solution to 4x+6 is less than or equal to 18?
Sunny_sXe [5.5K]

Hey there! :)

Answer:

x ≤ 3

Step-by-step explanation:

Given:

4x + 6 ≤ 18

Subtract 6 from both sides:

4x ≤ 12

Divide both sides by 4:

4x/4 ≤ 12/4

x ≤ 3

6 0
3 years ago
Read 2 more answers
If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have S_1=3\times2^{1-1}+2(-1)^1=3-2=1, which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}

and

S_k=3\times2^{k-1}+2(-1)^k

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}

From the given recurrence, we know

S_{k+1}=S_k+2S_{k-1}

so that

S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)

S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}

S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)

S_{k+1}=3\times2^k-2(-1)^k

S_{k+1}=3\times2^k+2(-1)(-1)^k

\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}

which is what we needed. QED

6 0
3 years ago
Giant is selling Cereal at $8 for 3 boxes.what is the cost per box?
Zolol [24]

Answer:

$2.67

Step-by-step explanation:

you divide to find unit rate

8/3 = 2.666667

7 0
3 years ago
Read 2 more answers
G = 15 - m/32
IRINA_888 [86]

The value of 32 in the equation will serve as the time taken by the driver to travel

<h3>Functions and values</h3>

If Alice fills up the gas tank of her car before going for a long drive, and the equation that shows the amount of gas in gallons in Alice's car when she has driven m (miles). is given as:

g = 15 - m/32

The value of 32 in the equation will serve as the time taken by the driver to travel

Learn more on distance and time here; brainly.com/question/17273444

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6 0
2 years ago
Marketing consultant - Monthly pay: $1,484.25; What is his annual salary?
Kruka [31]
Just mult. this monthly pay by 12 to obtain the annual salary:

12($1484.25) = $17775 per year (answer)
7 0
3 years ago
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