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3 years ago

Each exterior angle of a regular polygon measures 60 degree how many sides does a polygon have ?

Mathematics

2 answers:

slega [8]3 years ago

8 0

The polygon has 6 sides.

The exterior angles of any polygon add up to 360 degrees total.

algol133 years ago

6 0

360/60=6
The polygon has 6 sides.

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deahawn has a box of crackers shaped in a rectangular prism. The volume of crackers is 432 inches the area of the base 32 inches

iogann1982 [59]

432/32 = 13.5 inches cubed

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2 years ago

Plzzzzzzzzzzzzzzzzzzzzzzzz help me worth 30 points

marshall27 [118]

Answer:

A. 1 > -1

B. 1 < 2

C. 16 > 14

D. 16< 14

Step-by-step explanation:

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2 years ago

Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

$k=0$

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

$\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}$

Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

Simplify:

$1= e^k$

Anything raised to zero (except for zero) is one. Therefore:

$k=0$

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

$\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}$

By definition, ln(e) = 1. Hence:

$\displaystyle k = \ln 2$

Therefore:

$2k+1 = 2\ln 2+ 1 \approx 2.3863$

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

$\displaystyle \frac{1}{2} = e^k$

Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

3 0

2 years ago

Does this graph represent a function? Why or why not?

Yuliya22 [10]

Answer:

It’s D because no lines overlap so it passes the vertical line test

Step-by-step explanation:

5 0

2 years ago

Solve.

Furkat [3]

Answer:

-0.03

Step-by-step explanation:

-59x+3.2=5

-59x=5-3.2

-59x=1.8

x=1.8/-59

x=-0.03

3 0

1 year ago