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2 years ago

Normal form [see attachment]

Mathematics

1 answer:

musickatia [10]2 years ago

4 0

I just did one of these. I guessed that normal form is

$x \cos \phi + y \sin \phi - p = 0$

Here' that's

$x (\sqrt{3}/2) + y (1/2) - 10 = 0$

$\sqrt{3} x + y - 20 = 0$

Choice b

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The number of 500g amount in 1 kg is

Y_Kistochka [10]

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500 g = 0.5 kg

Step-by-step explanation:

1 kg = 1000 g

500 g = 0.5 kg

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2 years ago

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What is the sum of the infinite geometric series?<br><br> 120 + 20+ 10/3 + 5/9+...

Sergeu [11.5K]

Answer:

for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

$\frac{a_{1} }{1 - r}$ = $\frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } =$ $\frac{120 \times 6}{5}$ = 144.

Step-by-step explanation:

i) from the given series we can see that the first term is $a_{1 }$ = 120.

ii) let the common ratio be r.

iii) the second term is 20 = 120 × r

therefore r = 20 ÷ 120 = $\dfrac{1}{6}$

iv) the third term is $\frac{10}{3}$ = 20 × r

therefore r = $\dfrac{10}{3}$ ÷ 20 = $\dfrac{1}{6}$

v) for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

$\frac{a_{1} }{1 - r}$ = $\frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } =$ $\frac{120 \times 6}{5}$ = 144.

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2 years ago

The perimeter of a rectangle is 160cm. The rectangle is 4 times longer then wide . What are the length and width of this rectang

tamaranim1 [39]

Answer:

Length = 64 cm , width =16 cm

Step-by-step explanation:

Given Perimeter = 160

Let width = x

Length = 4x

Hence perimeter =2 (length) +2 ( width)

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160 = 8x + 2x

160 = 10x

160/10 =x

16 = x

Hence width = 16 cm

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Length= 4(16)

Length =64 cm

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3 years ago

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krek1111 [17]

Answer:

Step-by-step explanation:

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3 years ago