Ask question

Ask question

All categories

Pachacha [2.7K]

3 years ago

12

Mark wants to find the area of a circle with a diameter of 6 cm. Which expressions can he use to find the area of the circle in

square centimeters? Choose all the correct answers.
a.3^2*pi
b.6*pi
c.2*3*pi
d.3*3*pi
e.6*pi

2 answers:

ANEK [815]3 years ago

8 0

Answer:

B and C

(I'm not sure if b and e are supposed to be the same though) if they are then, b, c, and e

Nata [24]3 years ago

3 0

Answer:

The correct options are Option A and Option D

Step-by-step explanation:

Mark wants to find the area of a circle with a diameter of 6 cm.

We need to find the expressions can he use to find the area of the circle in square centimetres?

The formula used to find area of circle is: $Area=\pi \:r^2$

We are given Diameter = 6 cm

Radius = Diameter/2 = 6/2 = 3 cm

We get radius = 3cm

Now, putting values and finding area

$Area=\pi \:r^2\\Area=\pi \:(3)^2\\Area=3^2\:\pi$

We can also write it as:

$Area=3*3*\:\pi$

So, correct options are Option A and Option D

You might be interested in

Suppose that a box contains r red balls and w white balls. Suppose also that balls are drawn from the box one at a time, at rand

dybincka [34]

Answer: Part a) $P(a)=\frac{1}{\binom{r+w}{r}}$

part b) $P(b)=\frac{1}{\binom{r+w}{r}}+\frac{r}{\binom{r+w}{r}}$

Step-by-step explanation:

The probability is calculated as follows:

We have proability of any event E = $P(E)=\frac{Favourablecases}{TotalCases}$

For part a)

Probability that a red ball is drawn in first attempt = $P(E_{1})=\frac{r}{r+w}$

Probability that a red ball is drawn in second attempt= $P(E_{2})=\frac{r-1}{r+w-1}$

Probability that a red ball is drawn in third attempt = $P(E_{3})=\frac{r-2}{r+w-1}$

Generalising this result

Probability that a red ball is drawn in [tex}i^{th}[/tex] attempt = $P(E_{i})=\frac{r-i}{r+w-i}$

Thus the probability that events $E_{1},E_{2}....E_{i}$ occur in succession is

$P(E)=P(E_{1})\times P(E_{2})\times P(E_{3})\times ...$

Thus $P(E)$ = $\frac{r}{r+w}\times \frac{r-1}{r+w-1}\times \frac{r-2}{r+w-2}\times ...\times \frac{1}{w}\\\\P(E)=\frac{r!}{(r+w)!}\times (w-1)!$

Thus our probability becomes

$P(E)=\frac{1}{\binom{r+w}{r}}$

Part b)

The event " r red balls are drawn before 2 whites are drawn" can happen in 2 ways

1) 'r' red balls are drawn before 2 white balls are drawn with probability same as calculated for part a.

2) exactly 1 white ball is drawn in between 'r' draws then a red ball again at $(r+1)^{th}$ draw

We have to calculate probability of part 2 as we have already calculated probability of part 1.

For part 2 we have to figure out how many ways are there to draw a white ball among (r) red balls which is obtained by permutations of 1 white ball among (r) red balls which equals $\binom{r}{r-1}$

Thus the probability becomes $P(E_i)=\frac{\binom{r}{r-1}}{\binom{r+w}{r}}=\frac{r}{\binom{r+w}{r}}$

Thus required probability of case b becomes $P(E)+ P(E_{i})$

= $P(b)=\frac{1}{\binom{r+w}{r}}+\frac{r}{\binom{r+w}{r}}\\\\$

7 0

3 years ago

Can someone help please?;)

Vikki [24]

Answer:

56.137 Square Unit

Step-by-step explanation:

Rectangle: 7x6=42

1/2 Circle: 1/2x3x3x $\pi$ =14.137

42+14.137=56.137

7 0

2 years ago

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.

expeople1 [14]

Answer:

1. 700 calories

2. 3 servings

3. c = 350s

Step-by-step explanation:

1. 5 servings = 1,750 calories

divide by 5 on both sides

1 serving = 350 calories

multiply both sides by 2

2 servings = 700 calories

2. 1 serving = 350 calories

1050 calories = 350 calories X 3

3 servings = 1,050 calories

3. 1 serving = 350 calories

# of calories = 350 per serving

c = 350s

6 0

2 years ago

What is the measure<br> . of ZBAC?<br> **<br> (x + 10)<br> с<br> E<br> (2x - 10)<br> fo<br> D

Tanya [424]

Answer:

The measure of ∠BAC is 30°

Step-by-step explanation:

<h3><u>Given:</u></h3>

BAC = (x + 10)°

DAE = (2x - 10)°

Here, BAC and DAE are vertical angles, So they are equal

BAC = DAE

(x + 10)° = (2x - 10)°

x + 10° = 2x - 10°

Subtract 10° and 2x from both side we get,

x + 10° - 10° - 2x = 2x - 2x - 10° - 10°

-x = -20°

x = 20°

Here, The value of x is 20°

Now, We want to find ∠BAC

So,

∠BAC = (x + 10)° = 20° + 10° = 30°

Thus, The measure of ∠BAC is 30°

<u>-TheUnknownScientist</u><u> 72</u>

5 0

2 years ago

PLZ ANSWER...POINTS POINTS

Gekata [30.6K]

The answer to 5 is: 1cm
because 160 inches equals 406.4cm and that is over 1 which equals 406.4.
the second fraction equals 1cm because 1inch equals 2.54 and 2.54 over 2.54 equals 1. The third fraction is 1over 406.4. So, that basically means 406.4 over 406.4 which equals 1.

The answer is 212.5
because 8 1/3= 25/3 and 25 1/2 equals 51/2. So, that equals 1275/6 because 1*21=1275 and 3*2=6. So your answer is 212.5
I hope this helps!! :-)

5 0

3 years ago