The circumference of a circle is 12 π cm. What is the circle's area?
6 π cm^2
12 π cm ^2
36 π cm^2
144 π cm^2

Answer:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Step-by-step explanation:

We have the following probabilities given:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Answer:

0.62

Step-by-step explanation:

Answer:267.9 in³? Dk if it's right or wrong, forgive me.

Answer:

V = 267.9 in.³

Step-by-step explanation:

Diameter reduced by half = 16/2 = 8 inches

Radius = 4 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 4

=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]

=> V = 804.2/3

=> V = 267.9 in.³

Answer:

23

Step-by-step explanation:

87=x+(x+12)+(x-3)

87=3x+9

3x=78

x=26

This is Colin's age. Caroline is 3 years younger than Colin, so she is the youngest, and we need to find her age. Subtract 3 from 26, and you get your final answer, 23.

Answer:

16

Step-by-step explanation:

15x = 240 x stands for number of students at 1 table

To solve this we divide by 15 both sides for the "x" to remain alone on one side of the equality sign.

(15/15) x = 240/15

So, x = 16.

Answer: 450 watches

Step-by-step explanation:

Given the following :

Let Initial number of watches = n

Total number sold in January and February = 342

Total sold in march = 25% of (n - 342) = 0.25(n - 342) = 0.25n - 85.5

Total watches left = 18% of n = 0.18n

Therefore,

Initial number of watches = (watches left + total watches sold)

n = 0.18n + (0.25n - 85.5) + 342

n = 0.18n + 0.25n - 85.5 + 342

n = 0.43n + 256.5

n - 0.43n = 256.5

0.57n = 256.5

n = 256.5 / 0.57

n = 450

n = Initial number of watches = 450

Answer:

b=1/4a+1

Step-by-step explanation:

Step 1: Add -2b to both sides.

2a+6b−4+−2b=3a+2b+−2b

2a+4b−4=3a

Step 2: Add -2a to both sides.

2a+4b−4+−2a=3a+−2a

4b−4=a

Step 3: Add 4 to both sides.

4b−4+4=a+4

4b=a+4

Step 4: Divide both sides by 4.

4b/4 = a+4/4

b=1/4a+1

Please mark brainliest

Hope this helps.

Answer:

the answer is A

Step-by-step explanation:just took the test

Answer:

y=-6x+1

Step-by-step explanation:

Answer:

Here,

The length of an arc of a sector with theta nag radius'r' is:

[tex] \frac{theta}{360} 2\pi \: r[/tex]

CD=?

Radius=7.9 cm

theta=66.4

Length of CD

[tex] \frac{66.4}{360} \times 2 \times \pi \times 7.9 \\ = \frac{66.4}{360} \times 2 \times 3.14 \times 7.9 \\ = 9.1506 \\ = 9.2 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

n=-5

Step-by-step explanation:

y^5*y^n= y^5+n when multiply , add exponents

y^5+n/y^2= y^(5+n)-2 divide, subtract exponents

y^(5-5-2) =y^-2

Answer:

Cost of loaf of bread in 1983 is 90 cents

Step-by-step explanation:

Mathematically;

CPI = Cost of market in given year/cost of market in base year * 100

From the question,

CPI = 323

cost of market in given year =2.89

cost of market in base year = ?

323 = 2.89/c * 100

323c = 289

c = 289/323

c = 0.8947

which is approximately 90 cents

Step-by-step explanation:

C=2×pi×r

8.61=2pi*×r

8.61÷2pi=13.52 radius

A=pi×r^2

pi×13.52^2=574.25 area

Answer:

A

Step-by-step explanation:

the triangles share one angle and they have two equal sides

Step-by-step explanation:

v = 1/3πr²h

1/3×314/100×4×4×7

11,722.666round off

11722.67

formula =v= 3.14×radius×radius ×height ×3

Step-by-step explanation:

pie×radius×squared ×7×3

=117.29

when we round it to the nearest hundredth

its=117.29m squared

Answer:

[tex]C =8t+16\\7\ hours[/tex]

Step-by-step explanation:

Given that, Fixed charge = $16

Per hour charge for renting the bike = $8/hour

To find:

If Matt paid $72 to rent a bike, for how many hours did he rent the bike?

Solution:

Let 't' be the time for which Matt rents the bike.

1 hour charge for the bike rent = $8

't' hour charge for the bike rent = $8 [tex]\times t[/tex]

Total Charge for the bike = Charge for renting the bike for t hours + fixed charge

Let 'C' be the total charge, so the equation becomes:

[tex]C = 8t + 16[/tex]

Given that C is $72, we need to find t:

[tex]72 = 8t+16\\\Rightarrow 8t=72-16\\\Rightarrow 8t=56\\\Rightarrow t = 7\ hours[/tex]

So, he rented the bike for 7 hours.

The equation is: [tex]C = 8t + 16[/tex]

Answer:

B; Subconjunto

Step-by-step explanation:

Aquí, se nos pide que seleccionemos el término que define un conjunto con sus elementos que pertenecen a un conjunto más grande.

La respuesta correcta es que el conjunto más pequeño es un subconjunto del conjunto más grande.

Esto significa que el conjunto más pequeño es parte del conjunto más grande, lo que lo convierte en una subdivisión del conjunto más grande

Answer:

a = -1

b = 1

Step-by-step explanation:

Step 1: Isolate x's

x² + 2x = -2

Step 2: Complete the Square

x² + 2x + 1 = -2 + 1

(x + 1)² = -1

Step 3: Move everything to 1 side

(x + 1)² + 1 = 0

And we have our answer.

Answer:

A=1 and b=1

Step-by-step explanation:

Step-by-step explanation:

sss similarity theorem

Answer: a.) (3x +1)(2x +3)

Step-by-step explanation:

The factors that work to get the middle term, 11x, are 3×3x = 9x and 1×2x=2x. 2x +9x = 11x

Answer:

Distance = 10 km

Step-by-step explanation:

Let x be the number of hours taken from school to town and y be the number of hours taken back to the school

Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.

=> 10x = 8y  

Dividing both sides by 2

=> 5x = 4y

=> 5x-4y = 0   ------------------(1)

The total time for both the trips is:

=> x + y = 2.25 -------------------(2)

Multiplying eq (2) by 5

=> 5x+5y = 11.25  ---------------(3)

Subtacting (3) from (1)

=> 5x-4y-5x-5y = 0-11.25

=> -4y-5y = -11.25

=> -9y = -11.25

Dividing both sides by -9

=> y = 1.25 hrs

Putting in (2)

=> x + 1.25 = 2.25

=> x = 2.25 - 1.25

=> x = 1 hr

Now, Calculating the Distance

=> Distance = 10x

=> 10 ( 1 )

=> Distance = 10 km

Answer:

f = 10, g = 4.8 cm

Step-by-step explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where Area = 12 cm², Base = 4 cm

12 = [tex]\frac{1}{2}(4)(Height)[/tex]

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, AD is parallel and equal to BC[tex](f)[/tex]

So,

f = 10 cm

Now, Finding g

Area of ABCD = [tex]Base * Height[/tex]

Where Area = 48 cm², Base = 10 cm

48 = 10 * Height

Height = 48/10

Height = 4.8 cm

Whereas, Height is g

So, g = 4.8 cm

Answer:

x=8.5

y=-3.5

Step-by-step explanation:

lets say  x=5-y

substituting x in the other equation gives -3(5-y)+2y=5

-15+3+2y=5

2y=5+15-3

2y=17

y=8.5

from equation 1    : x+8.5=5

x=5-8.5

x=-3.5

Answer:

Please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment...

Answer:

4(7+3)

Step-by-step explanation:

28 and 12 are both divisible by 4.

28 ÷ 4 = 7

12 ÷ 4 =  3

Answer:

4(7+3)

Step-by-step explanation:

4(7) = 28

4(3)= 12

28+12=28+12

Hope this helps!

Answer:

Circumference

(22÷7)×14.7×2 = 92.4cm

The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195

Answer:

y = 5x + 8

Step-by-step explanation:

If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.

5x - y = 4 and solving for y:

-y = -5x + 4 and solving for positive y:

y = 5x - 4

So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:

y - (-2) = 5(x - (-2)) and

y + 2 = 5(x + 2) and

y + 2 = 5x + 10 so

y = 5x + 8

Answer:

The correct answer to the following question will be Option B (15).

Step-by-step explanation:

The given values is:

LN = 30 cm

Although the diagonals of that same rhombus bisects or bend one another, this implies that P seems to be the midpoint of both the LN.

So that,

⇒  [tex]LP=\frac{1}{2}\times LN[/tex]

On putting the estimated value, we get

⇒        [tex]=\frac{1}{2}\times 30[/tex]

⇒        [tex]=15[/tex]

Therefore, Option B seems to be the appropriate one.

Answer:

24

Step-by-step explanation:

4m = 4 * m = 4 * 6 = 24

Answer:

[tex] 3\frac{5}{6} [/tex]

solution,

[tex]5 \frac{3}{4} \div 1 \frac{1}{2} \\ = \frac{5 \times 4 + 3}{4} \div \frac{2 \times 1 + 1}{2} \\ = \frac{20 + 3}{4} \div \frac{2 + 1}{2} \\ = \frac{23}{4} \div \frac{3}{2} \\ = \frac{23}{4} \times \frac{2}{3} \\ = \frac{23}{6} \\ = 3 \frac{5}{6} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

23/6=3 5/6

Step-by-step explanation:

5  3/4=(4*5+3)/4=23/4

1 1/2=(2*1+1)/2=3/2

23/4:3/2=23/4*2/3=23*2/4*3=23/2*3=23/6

Answer: 57°

Step-by-step explanation:

Bisecting makes angle ZXY=ZXW. So 58+58=116.

Then solve. 2x+2=116.

2x=114

x=57

Answer:

(x+1)(2x+3)=0 is the answer

Step-by-step explanation:

2x²+5x=-3

2x²+5x+3=0

2x²+3x+2x+3=0

x(2x+3)+1(2x+3)=0

(x+1)(2x+3)=0

i hope this will help you :)