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2 years ago

A circular garden has a circumference of 42.3 feet. Find the approximate diameter of the garden. Use 3.14 for π.

Mathematics

1 answer:

tamaranim1 [39]2 years ago

6 0

Answer:

13.5

Step-by-step explanation:

c = 2πr

42.3 = 2(3.14)r

42.3 = 6.28r

6.74 = r

d = r + r

d = 6.74 + 6.74

d = 13.5

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Write the first five terms of the sequence defined by the explicit formula

denis-greek [22]

Answer:

The correct answer option is: 19, 13, 3, -11, -29.

Step-by-step explanation:

We are given the following explicit formula for an arithmetic sequence:

$a_n=21-2n^2$

So to find the first five terms of this sequence, we will substitute the values of $n$ (num here in the given formula:

$a_1=21-2(1)^2\\\\a_1=19$

$a_2=21-2(2)^2\\\\a_2=13$

$a_3=21-2(3)^2\\\\a_3=3$

$a_4=21-2(4)^2\\\\a_4=-11$

$a_5=21-2(5)^2\\\\a_5=-29$

Therefore, the first five terms of the sequence defined by the explicit formula $a_n=21-2n^2$ are 19, 13, 3, -11, -29.

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3 years ago

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What is the answer??!!!!

Sveta_85 [38]

Answer cant help you

Step-by-step explanation:

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3 years ago

Which equation is equivalent to 2(3x-5)=5-2(1-x)

aniked [119]

Answer:

6(x-10)=5-2(1-x)

Step-by-step explanation:

I divided by 3 the parenthesis, and multiplied by 3 the first number, which makes an equivalent equation.

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3 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

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babunello [35]

The expression (n+3) represents the measure of an exterior angle of a regular octadecagonal.

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