The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the nearest hundredth of an inch? A.100.49 inchesC.50.24 inchesB.89.03 inchesD.25.12 inches

Answer:

D. 221.7 cm

Step-by-step explanation:

Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]

'r' - radius

We are given the radius of 4.2 centimetres.

[tex]SA=4\pi 4.2^2\\4 * \pi * 4.2^2\\\rightarrow 4.2^2 =17.64\\\text {Using 3.14 for pi: }\\4 * 3.14 *17.64\\12.56*17.64\\\boxed {221.5584}[/tex]

221.5584 ≈ 221.6

The closest answer is Option D, therefore it should be the correct answer.

Answer:

y = 1/2x - 5

Step-by-step explanation:

I'm going to use slope-intercept form. Your y-intercept is already shown when x is zero, which is (0,-5). Your slope is defined as rise over run, so 1/2 in this case. This gives you an equation of f(x) = 1/2x-5

Step-by-step explanation:

(11.99+23.98+9.95)= 45.92

she has to pay = 45.92 - 20/100 (45.92)

= 45.92 - 9.18 = 36.74

so option

about 37 is right

Answer:

[tex]144 $ Square feet[/tex]

Step-by-step explanation:

The given triangular prism comprises of two equal right triangles and three rectangles.

The Surface Area of the Prism

=Area of Two Triangles + Area of Three Rectangles

[tex]=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet[/tex]

Answer: 144

Step-by-step explanation:32+24+4-+48=144

Answer:

D understand the problem.

Step-by-step explanation:

Answer:

gathering of resources is the main first thing .....

Answer:

D

If you put the equation into a calculator, it will show a graph of it.

Answer:3.3

Step-by-step explanation:

Circumference=8

Φ=288

π=3.14

Radius=r

Circumference=2 x π x r

8=2 x 3.14 x r

8=6.28 x r

Divide both sides by 6.28

8/6.28=(6.28 x r) /6.28

1.3=r

r=1.3

Length of arc =Φ/360 x 2 x π x r

Length of arc =288/360 x 3.14 x 1.3

Length of arc =0.8 x 3.14 x 1.3

Length of arc =3.3

Answer:32/5

Step-by-step explanation: did it in khan

Answer:

  6

Step-by-step explanation:

If we place no restrictions on the values of the variables, there are an infinite number of possible solutions.

In this scenario, it is reasonable to require all variables have non-negative integer values. That restricts the solutions to ...

  (x, y, z) ∈ {(15, 20, 0), (12, 22, 1), (9, 24, 2), (6, 26, 3), (3, 28, 4), (0, 30, 5)}

There are 6 solutions to her problem.

Answer:

not a solution

Step-by-step explanation:

p > -5

Let p = -11

-11 > -5

This is a false statement

It is not a solution

Answer:

a = 27

b = 81

Step-by-step explanation:

3^{3} = 27

3^{4} = 81

Answer:

Probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

Step-by-step explanation:

We are given that the amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds.

Let X = amount a Niffler can hold in their pouch

So, X ~ Normal([tex]\mu=25,\sigma^{2} =6.8^{2}[/tex])

The z score probability distribution for normal distribution is given by;

                                Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 25 pounds

            [tex]\sigma[/tex] = standard deviation = 6.8 pounds

Now, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is given by = P(X > 32 pounds)

  P(X > 32 pounds) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{32-25}{6.8}[/tex] ) = P(Z > 1.03) = 1 - P(Z [tex]\leq[/tex] 1.03)

                                                             = 1 - 0.8485 = 0.1515

The above probability is calculated by looking at the value of x = 1.03 in the z table which has an area of 0.8485.

Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

Answer:

It seems like it is 110 degrees.

Step-by-step explanation:

Answer:

The perimeter of the field is 21 yards

Step-by-step explanation:

See attachment 1 for the coordinates plane.

The question is best solved using an attachment.

To calculate the perimeter of the fence, we simply add the sides of the rectangle.

Attachment 2 is a labelled diagram of attachment 1.

From 2, we have that

Perimeter = A + B + C + D + E + F

Where A to F represent the length of each sides of the fence

From coordinates geometry,

A = 5

B = 4

C = 6½

D = 1½

E = 1½

F = 2½

So,

Perimeter = 5 + 4 + 6½ + 1½ + 1½ + 2½

Perimeter = 21

Hence, the perimeter of the field is 21 yards

Answer:

5m x 5m, 6m x 4m and 7m x 4m

Step-by-step explanation:

in interval of 0.02 and for the same value of m.

Answer:

4/5

Step-by-step explanation:

just divide by 10 since that's the largest number that both numbers can equally be divisible by

Answer:

4/5 because 40/50 simplified is 4/5 bc you knock off the zeros for question like that

Step-by-step explanation:

Answer:

  y = 12

Step-by-step explanation:

Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)

We'll assume we are only interested in the case where the difference is in the order listed.

  [tex]\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}[/tex]

There is one solution.

_____

Comment on the solution

If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.

Answer:

the value of x is in the solution set of 4x-12<16=8x

Step-by-step explanation:

multiply the 4x take away from 12= 8x

Answer:

The number of boys are 64.

Step-by-step explanation:

We have,

The ratio of the boy to girl is 8:9.

Total number of girls are 72.

Let total boys are 8x and total girls are 9x.

According to the question,

[tex]9x=72\\\\x=8[/tex]

Since, number of boys are 8x. So,

[tex]B=8x=8\times 8=64[/tex]

So, the number of boys are 64.

Answer:

19 feet

Step-by-step explanation:

First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:

3 inches * 1 foot / 12 inches = 0.25 feet

Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:

7 inches * 1 foot / 12 inches = 0.583333

Now, we calculate the number of actual feet using the scale.

0.583333 * 8 / 0.25 = 18.66 feet

that is to say that the length of the current Kitchen is 19 feet if we round

Answer:

(0,1)

Step-by-step explanation:

i got it right

Answer:

y=210x+78

Step-by-step explanation:

y=-16x*2+242x+78

y=-32x+242x+78

y=210x+78

Answer:

151 * 17 * 3^4 * 2

Step-by-step explanation:

2567 | 17

151 | 151

1

162 | 2

81 | 3

27 | 3

9 | 3

3 | 3

1

Answer:

415854.

Step-by-step explanation:

A multiplication.

Using a calculator it is:

415854,

Answer:

$118.22

Step-by-step explanation:

Subtract $130.00-$8.00= $122.00

Then subtract $122.00- $3.78 = $118.22

Answer:$118.22

Step-by-step explanation:

the tennis shoes costs 8 dollar less than 130 dollars

Tennis shoes cost=130-8=122

Tennis shoes cost $122

I need $3.78

My money presently=122-3.78

My money presently=$118.22

Step-by-step explanation:

This problem on depreciation of price.

Given data

initial price = $18,250

rate of depreciation = 11%

to solve for the new price we must find 11 percent of the initial price (depreciated value) and subtract from the initial price, we have

depreciation=

[tex]\frac{11}{100} *18250\\0.11*18250= 2007.5[/tex]

Hence the depreciation= $2007.50

the new amount is [tex]= initial amount - depreciation[/tex]

[tex]=18250-2007.50\\= 16242.50[/tex]

the new amount is $16242.50

Answer:

Measure of first angle: 42 degrees,

Measure of second angle: 138 degrees

Step-by-step explanation:

Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle

1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x

2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180

3. In this situation it is convenient to apply substitution as to solve for x, y:

1. x + ( 12 + 3x ) = 180

2. x + 12 + 3x = 180

3. 4x + 12 + 180

4. 4x = 168

5. x = 42 degrees

4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:

1. y = 12 + 3 ( 42 )

2. y = 12 + 126

3. y = 138 degrees

Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.

the two angles are 84° and 96°.

We should start by defining what supplementary angles are.

Two angles a and b are supplementary if:

a + b = 180°.

Now, we also know that one of the angles is 12° larger than the other, so we can write:

a = b + 12°

Now that we have that equation, we can replace it in the first one, so we get:

a + b = 180°

(b + 12°) + b = 180°

Now we can solve this for b.

2*b + 12° = 180°

2*b = 180° - 12°  = 168°

b = 168°/2 = 84°

To find the value of a, we can use the equation:

a = b + 12°

a = 84° + 12° = 96°.

Then the two angles are:

84° and 96°.

If you want to learn more, you can read:

https://brainly.com/question/18164299

Answer:

The area 2730 possible arrangements of first, second, and third place.

Step-by-step explanation:

The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

3 from a set of 15. So

[tex]P_{(15,3)} = \frac{15!}{(15-3)!} = 2730[/tex]

The area 2730 possible arrangements of first, second, and third place.