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uranmaximum [27]

3 years ago

10

Sophia’s vegetable garden is divided into 12 equal sections. She plants carrots in 8 of the sections. Write two fractions that a

re equivalent to the part of Sophia’s garden that is planted with carrots.

1 answer:

givi [52]3 years ago

4 0

Answer:

Sophia's Vegetable garden - 1 thats divided into 12 sections

the carrots are planted in 8 of the sections making

8/12 or 2/3

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Shkiper50 [21]

1. (1/3) * (3/5) = 3/15
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3. So 3 1/3 * 2 1/4 = 6 1/2 C

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The smallest number that is divisible by 2, 3, 4, 5, 6, 8, and 10 is...

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I don't think a number like that exists :/

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In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin

Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

$r {}^{2} = {x}^{2} + {y}^{2}$

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

$\tan(x) = \frac{y}{x}$

Remeber since we are trying to find the angle measure, use inverse tan function

$\tan {}^{ - 1} ( \frac{y}{x} ) =$

Answers For 2,5

${2}^{2} + {5}^{2} = \sqrt{29} = 5.4$

So r=sqr root of 29

$\tan {}^{ - 1} ( \frac{5}{2} ) = 68$

So the answer is (sqr root of 29,68).

For -3,3

${ -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2}$

$\tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45$

Use the identity

$\tan(x) = \tan(x + \pi)$

So that means

$\tan(x) = 135$

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

${5}^{2} + {3.5}^{2} = \sqrt{37.25}$

$\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35$

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

${0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4$

So r=5.4

$\tan {}^{ - 1} (0) = undefined$

So our points are (5.4, undefined)

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3 years ago

Jill ran X Miles yesterday, today she ran 2 miles more than yesterday , with a total greater of 6 miles . Circle the numbers bel

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3 years ago

Read 2 more answers

IgorLugansk [536]

Answer :

Option B

Step by step explanation :

As we can see in figure, Triangle is right angled at A

In ∆ABC

By Pythagoras theorem,

BC² = AC² + AB²

=> BC² = (3)² + (4)²

=> BC² = 9 + 16

=> BC² = 25

=> BC = 5 cm

We know,

$\:\mathsf{Area \:of\: triangle}$ = $\:\mathsf{\frac{1}{2}\: x\: base\: x\: height}$

Here,

base = AC = 3cm

height = AB = 4cm

=> $\:\mathsf{Area \:of\: triangle}$ = $\:\mathsf{\frac{1}{2} \:x\: 3cm\: x\:4cm}$

=> $\:\mathsf{Area \:of\: triangle\: = \:3cm\: x\: 2cm}$

=> $\:\bf\boxed{Area \:of\: triangle\: = \:6cm²}$

As BC = DE

And then BD = EC

it shows the property of rectangle

So BD = 6 cm

Now,

$\:\mathsf{Area \:of\: rectangle\: =\: length \:x\: width}$

=> Area of rectangle = 6cm x 5cm

=> $\:\bf\boxed{Area\: of\: rectangle\: = \:30cm²}$

Now,

Area of the figure = Area of rectangle + Area of triangle

=> Area of the figure = 30cm² + 6cm²

=> $\:\bf\boxed{Area\: of\: the\: figure\: = \:36cm²}$

Therefore, <u>option B</u> is the correct answer for this question.

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3 years ago