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Ahat [919]
3 years ago
7

The sum of EACH interior angle measure of a regular hexagon is:

Mathematics
2 answers:
Sophie [7]3 years ago
7 0

Answer:

120

Step-by-step explanation:

done the topic

Alekssandra [29.7K]3 years ago
3 0
A regular hexagon has 6 edges and vertices, the measure of each angle in the hexagon is 120 degrees, so, the sum of each interior angle will be 120x6=720 degrees
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Which describes the behavior of the function f(x)= tan^-1(x)?
Fantom [35]

Answer:

Third Option

Step-by-step explanation:

We know that the function tan(x) is defined as y=\frac{sin(x)}{cos(x)}. Since the denominator is cos(x) then we know that  cos(x)=0  when x=\frac{\pi}{2}

We also know that the division by 0 is not defined. Therefore, the limit of y=tan(x) when "x" tends to \frac{\pi}{2} is infinite.

The function tan^{-1}(x) is the inverse of tan(x)

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function f^{-1}(x). If f(3)=8, then f^{-1}(8)=3

This also happens for the function tan^{-1}(x)

If when x \to \frac{\pi}{2}, tan(x) \to \infty then when x \to \infty, tan^{-1}x \to \frac{\pi}{2}

Then, the answer is:

x \to \infty, f(x) \to \frac{\pi}{2}

7 0
3 years ago
sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years
Bess [88]

Answer:

£11,904

Step-by-step explanation:

Simple interest = PRT/100 where P = initial investment, R = rate and T = time.

So interest on £9600 = 9600*8*3/ 100

= £2304

So the value after 3 years = 9600 + 2304

= £11,904   (answer)

3 0
3 years ago
Read 2 more answers
The distance between Happyville and Giggleland is 60 miles. how far is this in kilometers?
choli [55]

Answer:

Since 1 mile = 1.60934 km 60 miles =60*1.60934 = 96.5604 km (just multiply the number of miles by 1.60934 to get kilometers.)

Step-by-step explanation:

7 0
2 years ago
Select the graph that represents the given set. (Click on the graph until the correct one is showing.) A = {(1, 2), (2, 3), (3,
fenix001 [56]

Answer:

the 4th graph

Step-by-step explanation:

the x-axis is first (the horizontal line), then the y-axis is next ( vertical line). you have to with the pairs that you are given. {(1, 2)...} you find the 1 on the x-axis then move up 2 space. that will be your first dot. then you do the same with the rest of them

8 0
3 years ago
Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any
alukav5142 [94]

Answer:

y(x)=4+\frac{C}{\sqrt{x^2+10}}

Step-by-step explanation:

We are given that a differential equation

(x^2+10)y'+xy-4x=0

We have to find the general solution of given differential equation

y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0

y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}

Compare with

y'+P(x) y=Q(x)

We get

P(x)=\frac{x}{x^2+10}

Q(x)=\frac{4x}{x^2+10}

I.F=e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}

e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}

y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C

y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C

y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C

y(x)=4+\frac{C}{\sqrt{x^2+10}}

6 0
3 years ago
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