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3 years ago

7

Convert the following fraction to decimal

rmula1" title=" \frac{13}{20} " alt=" \frac{13}{20} " align="absmiddle" class="latex-formula">

2 answers:

Rus_ich [418]3 years ago

4 0

Answer:

0.65

Step-by-step explanation:

13/20 * 5 = 65/100 = 0.65

Schach [20]3 years ago

3 0

Answer:

0.65

Step-by-step explanation:

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The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as b

noname [10]

Answer:

C. 40 cm

Step-by-step explanation:

length of side of square = s

perimeter = s + s + s + s = 4s

We use the formula P = 4s

P = 4 * 10 cm

P = 40 cm

Answer: The perimeter is 40 cm.

Notice that the perimeter is a sum of lengths, so its units are linear units such as cm, inches, feet, a unit of length.

An area has square units such as cm^2, in.^2, ft^2, etc.

3 0

3 years ago

Read 2 more answers

Use De Moivre's theorem to write the complex number in trigonometric form: (cos(3pi/5) + i sin (3pi/5))^3

docker41 [41]

By De Moivre's theorem,

$\left(\cos\dfrac{3\pi}5+i\sin\dfrac{3\pi}5\right)^3=\boxed{\cos\dfrac{9\pi}5+i\sin\dfrac{9\pi}5}$

We can stop here ...

# # #

... but we can also express these trig ratios in terms of square roots. Let $x=\dfrac\pi5$ and let $c=\cos x$ . Then recall that

$\cos5x=c^5-10c^3\sin^2x+5c\sin^4x$

$\cos5x=c^5-10c^3(1-c^2)+5c(1-2c^2+c^4)$

$\cos5x=16c^5-20c^3+5c$

On the left, $5x=\pi$ so that

$16c^5-20c^3+5c+1=(c+1)(4c^2-2c-1)^2=0$

Since $c=\cos\dfrac\pi5\neq1$ , we're left with

$4c^2-2c-1=0\implies c=\dfrac{1+\sqrt5}4$

because we know to expect $\cos x>0$ . Then from the Pythagorean identity, and knowing to expect $\sin x>0$ , we get

$\sin x=\sqrt{1-c^2}=\sqrt{\dfrac58-\dfrac{\sqrt5}8}$

Both $\cos$ and $\sin$ are $2\pi$ -periodic, so that

$\cos\dfrac{9\pi}5=\cos\left(\dfrac{9\pi}5-2\pi\right)=\cos\left(-\dfrac\pi5\right)=\cos\dfrac\pi5$

and

$\sin\dfrac{9\pi}5=\sin\left(-\dfrac\pi5\right)=-\sin\dfrac\pi5$

so that the answer we left in trigonometric form above is equal to

$\cos\dfrac\pi5-i\sin\dfrac\pi5=\boxed{\dfrac{1+\sqrt5}4+i\sqrt{\dfrac58+\dfrac{\sqrt5}8}}$

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3 years ago

About how many feet of fencing are needed to enclose a rectangular garden with a 30 ft long side and a 40 ft long side diagonal.

yan [13]

Answer:

i think the answer is d

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4 years ago

Solve for x.<br>– 6 = - 4/x

Law Incorporation [45]

Answer:

2/3 or in decimal form which is 0.6

Step-by-step explanation:

7 0

3 years ago

Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)

ANEK [815]

Answer:

Step-by-step explanation:

Remark

This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.

Equation

(f - g)x = f(x) - g(x)

Solution

(f - g)x = 9 - x - (3 - x) remove the brackets

(f - g)x = 9 - x - 3 + x

(f - g)x = 6

5 0

3 years ago