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vovikov84 [41]
3 years ago
14

A circle has a diameter of 7.2 inches.

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

22.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 7.2 inches

Approximating pi by 3.14

C = 3.14 * 7.2

C = 22.608

Rounding to the nearest tenth

C = 22.6

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Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.
djyliett [7]
An=a1+d(n-1)
an=nth term
a1=first term, when n=1
d=common differnce=amount each term increases by
n=which one


so
when n=1, an=40
so a1=40
it seems to increas by 7 each time

an=40+7(n-1)
explicit formula is expanded
an=40+7n-7
an=33+7n is the formula

the domain is natural numbers because you can't have the -3rd term or the 0th term or the 3.24th term

domain is natural numbers
the formula is a_n=33+7n or a_n=7n+33
6 0
3 years ago
If 2 variables have a negative correlation, then the slope of the line of best fit will be ______.
Lana71 [14]
Negative, because Correlation and slope have the same direction (Sxy will be negative)
5 0
3 years ago
Pls help there are 5 pics with multiple questions inside of them pls thank you
Bogdan [553]

Answer:

12. The second one

13. The first one

14. The last one

15. The first one

16. 30 degrees

Step-by-step explanation:

7 0
3 years ago
Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
3 years ago
Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16,
Levart [38]

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

4 0
3 years ago
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