A circle of radius 10cm had a hole cut out of its centre to form a ring. Find the radius of the hole if the remaining area is 50% of the original area. Round to one decimal place

Answer:

The answer is 252 square inches

Answer: StartFraction 1 Over 64 EndFraction

Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.

(I could be wrong, hopefully I'm Not)

The required value of a is 1/64.

Table is given y = [tex]2^x[/tex]
X =   -1     -2     -3    -4     -5      -6
Y =  1/2    1/4   1/8  1/16   1/32     a
Value of a tube determine.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

For a
y = [tex]2^x[/tex]
put 6 in above equation
a = 2^-6
a = 1/2^6
a = 1/64

Thus, The required value of a is 1/64.

Learn more about geometric progression here: https://brainly.com/question/4853032

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Answer:

two hundred seventy four thousand seventy-five

Answer: Step-by-step explanation: 274,075 written in words is:

Two Hundred Seventy Four Thousand Seventy-Five

Answer:

Actually the Answer is B

Step-by-step explanation:

The reason, cause I just chose C and got the answer wrong. Here’s further proof.

Answer: it’s D

Step-by-step explanation: got it wrong and it’s D

Answer:

100

Step-by-step explanation:

x = 5 × 20 = 100

.........................

He have to buy 4 bags to put all the dirt at once.

Step-by-step explanation:

Radius = 17 inches

Height = 28 inches

Volume of dirt from the cylindrical hole = π(r x r) h

= π(17 x 17) 28

= (3.14) (289) 28

= 25408.88 cubic inches

1 foot = 12 inches

Volume of dirt the bag can hold= 24 x 18 x 48

= 20736 cubic inches of dirt

The man fills only one third of the bag.

The volume of dirt the man fills = (1/3)20736

= 6912 cubic inches

Total bags = 25408.88/6912

= 3.69

= appx. 4 bags

He have to buy 4 bags to put all the dirt at once.

Given:

Given that the radius of the semicircle is 4 units.

We need to determine the area of the semicircle.

Area of the semicircle:

The area of the semicircle can be determined using the formula,

[tex]A=\frac{\pi r^2}{2}[/tex]

Substituting π = 3.14 and r = 4, we get;

[tex]A=\frac{3.14 \times (4)^2}{2}[/tex]

Simplifying, we get;

[tex]A=\frac{3.14 \times 16}{2}[/tex]

Multiplying, we get;

[tex]A=\frac{50.24}{2}[/tex]

Dividing, we get;

[tex]A=25.12[/tex]

Thus, the area of the semicircle is 25.12 square units.

20th term= 119

Step-by-step explanation:

Let the first term of AP be a

and common difference be d

nth term is given by,

= a+(n-1)d

6th term = 35

a+(6-1)d= 35

a+5d=35 -----------------(i)

13th term = 77

a+12d= 77----------------(ii)

Now, equation (ii) - (i)

a+12d-(a+5d)= 77-35

a+12d-a-5d= 42

7d=42

d=6

Now, from equation (i)

a= 35-5d= 35-5(6)= 35-30 = 5

20th term= a+19d= 5+19(6)= 119

In an arithmetic progression, the difference between any two successive terms is constant. By using this rule and the term numbers and values given, we can determine that the 20th term of the arithmetic progression is 119.

We have two pairs of term number and term value in the arithmetic progression (AP), which are (6, 35) and (13, 77). In an arithmetic progression, the difference between any two successive terms is constant, known as the common difference.

We can calculate the common difference (d) as (77-35)/(13-6) = 42/7 = 6.

Next, we find the first term (a) using the formula for the nth term of an AP, which is a = An - (n-1)*d. Using 6th term values, a = 35 - (6-1)*6 = 5.

Finally, we find the 20th term (A20) using the formula An = a + (n-1)*d. This gives us A20 = 5 + (20-1)*6 = 119.

So, the 20th term of this arithmetic progression is 119.

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[tex]V = \pi r^{2} \times h[/tex]

[tex]r = 11 \div 2 = 5.5 \\ h = 14 \\ \pi = 3.14[/tex]

[tex]V = 3.14 \times 5.5 ^{2} \times 14 = 1,329.79[/tex]

Answer: V=1,329.8

Answer:

Step-by-step explanation:

Given

diameter (d) = 11 cm

Height(h) = 14 cm

first calculating the radius

radius = d/2 = 11/2 = 5.5 cm

Now

Volume of the cylinder

=[tex]\pi r^{2}h[/tex]

= 3.14 * (5.5)^2 * 14

= 1329.8 cm^3

Hope it will help

Answer:

50%

Step-by-step explanation:

In dice, there are 6 numbers, and less than 4 is 1, 2, or 3. 3/6=50%

Answer:

intersecting

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have slopes that are negative reciprocals

Answer:

a.) Let the total number be : x

∴(73.7÷x) ×100 = 55%

∴x= (73.7×100) ÷ 55

=> 7370÷55

∴x=134

Thus, Option-A.

----------------------------------------------------

b.) Let the percentage  be : x

∴x= (46÷65) ×100  

∴x= (0.707) × 100

∴x=70.7%

Thus, Option-B.

MARK AS BRAINLIEST.

Answer:

Score: 0 - 100

Frequency: 5

Score: 100 - 200

Frequency: 6

Score: 200 - 300

Frequency: 5

Score: 300 - 400

Frequency: 3

Score: 400 - 500

Frequency: 1

Step-by-step explanation:

[tex]{x}^{2} + 4x - 7 = 0[/tex]

Take -7 to the other side making it +7

Half the coefficient of x and square it

[tex] \frac{1}{2} \times 4 = 2[/tex]

Square the answer

[tex]{2}^{2} = 4[/tex]

Join your answers

[

[tex](x + 2) - 4 = 7[/tex]

Take -4 to the other side making it +4

[tex](x + 2) = 7 + 4 \\

(x + 2) = 11

[/tex]

Square root both sides

[tex] \sqrt{x + 2}= \sqrt{11} [/tex]

[tex]x + 2 = \sqrt{11} [/tex]

Take +2 to the other side

[tex]x = - 2 \ + or - \sqrt{11} [/tex]

[tex]x = - 2 + \sqrt{11} [/tex]

or

[tex]x = - 2 - \sqrt{11} [/tex]

This can be your answering surd form if required or in decimals

Step-by-step explanation:

[tex] \frac{1000}{ \frac{1}{4} } [/tex]

Doing reciprocal we get

= 1000 * 4

= 4000

Hope it will help you.

Answer:

4000

Step-by-step explanation:

If you divide by a fraction, you get the reciprocal of the fraction, and multiply by it

The reciprocal of 1/4 is 4

1000 * 4 is 4000

Answer:

B

Step-by-step explanation:

[tex]x_0 = \frac{ - b}{2a} = 0 \\ y_0 = {0}^{2} + 3 = 3[/tex]

Answer:

x = 6

Step-by-step explanation:

Given

x - 2 = [tex]\sqrt{x+10}[/tex]

Square both sides to clear the radical

(x - 2)² = x + 10 ← expand left side using FOIL

x² - 4x + 4 = x + 10 ( subtract x + 10 from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 1

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 1 : left side = - 1 - 2 = - 3

right side = [tex]\sqrt{-1+10}[/tex] = [tex]\sqrt{9}[/tex] = 3 ≠ - 3

---------------------------------------------------

x = 6 : left side = 6 - 2 = 4

right side = [tex]\sqrt{6+10}[/tex] = [tex]\sqrt{16}[/tex] = 4

----------------------------------------------

Thus x = 6 is the solution, x = - 1 is an extraneous solution

Answer: FBE

Step-by-step explanation:

EDGE

Answer:

the answer is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 10a - 7a = 3a     {10a & 7a are like terms. So we can subtract}

5a + 2a - 4a = 7a - 4a = 3a        {5a, 2a, 4a are like tems}

So, 10a - 7a and 5a + 2a  - 4a are equivalent expressions

2) 9 - 4y and 4y - 9 are not equivalent

3)  6 + s means 6 is added to s

  6s means 6 is multiplied by s.

6 + s  and  6s are not equivalent expressions

4)  2c + 6c +9 - c - 4 = 2c + 6c - c + 9 - 4

                                 = 8c - c + 5

                                 = 7c + 5

7c + 5

2c + 6c +9 - c - 4  and 7c + 5 are equivalent expressions

Answer:

8

Step-by-step explanation:

I know its 8 because of using PEMDAS

well first in the equation you can divide and add so in PEMDAS diving comes before adding so 12/2=6 and 2+6=8

Answer:43

Step-by-step explanation:118+15+x=180

x=43

Answer:

Angle F is 47°

Step-by-step explanation:

The measure of all the angles on a triangle is 180°, so you subtract the 2 given angles (A and B) to find the 3rd angle (C). That third angle is equal to the corresponding angle (F) on the similar triangle (DEF).

Given:

The two angles A and B are vertical angles.

The measure of ∠A is x and the measure of ∠B is 5x - 20.

We need to determine the measure of ∠A.

Value of x:

Since, the angles A and B are vertical angles and the vertical angles are always congruent.

Thus, we have;

[tex]\angle A=\angle B[/tex]

Substituting the values, we have;

[tex]x=5x-8 0[/tex]

[tex]0=4x-80[/tex]

Adding both sides of the equation by 80, we have;

[tex]80=4x[/tex]

[tex]20=x[/tex]

Thus, the value of x is 20.

Measure of ∠A:

The measure of ∠A can be determined by substituting x = 20 in the measure of angle A.

Thus, we get;

[tex]\angle A=20^{\circ}[/tex]

Thus, the measure of ∠A is 20°

Answer:

2. a) 0.80a + 1.25c =i

   b) 4 x 0.80 = 3.2

       2 x 1.25 = 2.5

       3.2 + 2.5 = 5.7

4. a) 30

   b) 9

   c) 50

   d) 22.4

Answer:

You can graph it doing either first, trick question

Step-by-step explanation:

Answer:

The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.

Step-by-step explanation:

Answer:

FG = 9.7ft

Step-by-step explanation:

Find the diagram in the attachment.

The diagram is a right angled triangle since one of its angle is 90°

Using SOH CAH TOA to calculate the length FG which is the hypotenuse.

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)

Answer:9.7

Step-by-step explanation:

Cos 18= 9.2/X

Cross multiple

Divided each side by 18

9.2/cos18

Answer:

answers below

Step-by-step explanation:

1. no

2. yes

3. no

4. yes

5. no

6. yes

7. no

8. no

9. no

10. no

11. no

12. yes

Answer:

Below.

Step-by-step explanation:

1. No because there is a one-to-many relation in the diagram ( 8 maps to 3 and also to 4.

2. Yes. It is a one-to-one mapping.

3. Yes. It consists of on-to-one and many to one mapping.

4. No. Because it fails the vertical line test.

5. No.  As number 4.

6. Yes . this passes the vertical line test.

7.  Yes.

8.  No.   Input 1 maps to output 4 and output 7.

9.  Yes.

10. No. Because of the (3, 7) and the  (3, 6).

11.  No , because 1 maps to 8, 2 and 7.

12. Yes.

Answer:

The number is 6902

Step-by-step explanation:

Is means equals and of means multiply

What = 145% * 4760

Change to decimal form

What = 1.45 *4760

What =6902