BC is tanget to the circle centered at A with a radius of 2. What is the length of CD?

Answer:

[tex]V=1071.78\ cm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the cone, r = 8 cm

The height of the cone, h = 16 cm

We need to find the volume of the cone. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 8^2\times 16\\\\V=1071.78\ cm^3[/tex]

So, the volume of the cone is equal to [tex]1071.78\ cm^3[/tex].

Answer:

(3, 5 )

Step-by-step explanation:

Given the 2 equations

2x - 4y = - 14 → (1)

- 8x + 4y = - 4 → (2)

Adding (1) and (2) term by term will eliminate the y- term

- 6x + 0 = - 18

- 6x = - 18 ( divide both sides by - 6 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

- 8(3) + 4y = - 4

- 24 + 4y = - 4 ( add 24 to both sides )

4y = 20 ( divide both sides by 4 )

y = 5

solution is (3, 5 )

Answer:

Circle.among all shapes with the same area, a circle has the shortest perimeter

Answer:

g(x) - f(x) = 3^x - 9 - (5x - 1) = 3^x -5x - 8

Answer:

distance is 2 units

Step-by-step explanation:

9-7=2

Answer:

3$

Step-by-step explanation:

Let x be t-shirts and y socks.

4x + 3y= $37

2y + 5x= $41

x= (37 - 3y) ÷ 4

2y + 5((37-3y)÷4)=41

y=3

Answer:

30

Step-by-step explanation:

Step 1: Find the area of the whole figure

The whole figure is a rectangle with a width of 4cm and a length of 12cm

The area of a rectangle can simply be calculated by multiplying the width by the length

So area = 4 * 12 which = 48

So the area of the whole figure is 48cm²

Step 2: Find the area of the non shaded area

The non shaded area forms a triangle with a base length of 9cm and a height of 4cm

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height

That being said we plug in the values into the formula

[tex]A=\frac{9*4}{2} \\9*4=36\\\frac{36}{2} =18[/tex]

Hence the area of the non shaded region is 18cm²

Final step: Our last step is to subtract the area of the non shaded region by the area of the whole figure

so the answer = 48 - 18 which equals 30

Hence the area of the shaded region is 30 square centimeters.

Answer:

= 69

Step-by-step explanation:

Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.

1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40

2) 5y + 15 / 9 = 40

3) 9 ( 5y + 15 / 9) = 9 40

Answer: see below...

Step-by-step explanation:

a) no: 50% of 4,000 is 2,000. 50% of 2,000 is a 1,000. So the car is not “free”, you will have to pay a $1,000.

b) $1,000

Answer:

The bases are congruent

Step-by-step explanation:

From the question, we understand that the top base and the bottom base are directly opposite one another.

When such a scenario arise, it means that the bases have the same shape, they have the same dimension (i.e. size).

With the above analysis, we can conclude that the bases are congruent.

However, the given information can not be used to determine the shape and congruence of the lateral faces.

Lastly, for the bases to be congruent, they must have the same shape (and not any shape).

Hence, only option (b) is correct

Answer: Yes

Step-by-step explanation:

a right triangle is ... 9, 12, 15, 40, 41. 10, 24, 26. 12, 16, 12, 35, 37. 14, 48, 50. 15, 20, 25. 15, 36, 39. 16, 30, 34. 18, 24,  21, 29, 28, 35, 32, 40. 27, 36, 45. 40, 50

Answer:

c

Step-by-step explanation:

c

Answer:

(-7, 4)

Step-by-step explanation:

Answer:

30° and 12

Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio

(i)

The exterior angle = 30°

(ii)

The sum of the exterior angles of a polygon is 360°

To find the number of sides n divide 360 by 30 , that is

n = 360 ÷ 30 = 12

Answer:

4 and 72

Step-by-step explanation:

Answer:

4 and 72 !

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: Thank you for the points & B

Step-by-step explanation: Hope this help :D

Answer:

a=11

Step-by-step explanation:

set the formula up as

22+7a = 9a

22 = 9a - 7a

22 = 2a

22/2 = a

11 = a

Answer:

2.5x10^4hr

Step-by-step explanation:

Answer:

P (x>5) = 0.5324014=0.523

Step-by-step explanation:

Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3

Number of surgeries= n= 8

Applying the binomial distribution

( p+q) ^n= nC x p^x . q^n-x

More than 5 means  6,7, and 8

( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3

                =56* 0.16807*0.027

                       = 0.254121

( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2

                =  28* 0.1177* 0.09

                    = 0.296604

( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1

                =  8* 0.0824* 0.3

                  = 0.19776

( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0

                =  1* 0.05765* 1

                  =0.05765

Adding the above all probabilities  gives

P (x>5) = P (x=6) + P(x=7) + P(x=8)

               = 0.296604+0.19776+0.05765

                   = 0.5324014

Answer:

1/108

Step-by-step explanation:

Answer:

his mistake is that he didn't need to remove one even number on the spinner so we just need to take 2/5x1/5equals2/25

Answer:

I think it is 33cm...... i hope this helped  

Step-by-step explanation:

Answer:

axis of symmetry: x=1

vertex: (1, -1)

for the sketch, plot these points: (1, -1), (2, 0), (3, 3), (0, 0), (-1, 3)

Step-by-step explanation:

hope this helps :)

Answer:

axis of symmetry= (1,-1)

vertex = (2, -2)

and then I attached a picture of what it should look like on the graph

Answer: 875 people

Step-by-step explanation:

The 375 people seated represent 30% of the total number of people who wanted seats but these ones got them.

This means that the number of people who wanted seats is 70% of the number of people who wanted seats.

Assume the number of people who wanted seats is x:

30% * x = 375

x = 375 / 30%

x = 1,250 people wanted seats.

Those who wanted seats but couldn't get:

= 1,250 * 70%

= 875 people

Answer:

.2778

Step-by-step explanation: