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The best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

The area of the circle is the space occupied by that circle in 2 dimensional plane or space. It can be given as,

[tex]A=\pi r^2[/tex]

Here, (r) is the radius of the circle.

The image of the circle is attached below. In the given figure the center of the circle is O and the radius of the circle is 6 cm.

Thus the area of this circle can be find out using the above formula as,

[tex]A=\pi (6)^2\\A=3.14\times6^2\\A=113.04\\A\approx113\rm ft^2[/tex]

Thus, the best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

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Answer:

I see that you have two of your answers correct but I think your second one would be...

Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

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

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Using the z-table, we get the needed probabilities as:

Case 1:

[tex]P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931[/tex]

Case 2:

[tex]P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678[/tex]

Case 3:

[tex]P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957[/tex]

Case 4:

[tex]P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210[/tex]

Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]

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To find the volume of square pyramid, We use the formula that given below.

[tex] {x}^{2} \times \frac{y}{3} [/tex]

where x is base and y is height. So, let's substitute the values.

[tex] {10}^{2} \times \frac{18}{3} [/tex]

It gives

[tex]600 {cm}^{3} [/tex]

‎ㅤ‎ㅤ‎ㅤ~Volume of the given square pyramid is 600cm³

‎ㅤ

Volume of square pyramid is given by:

[tex] \qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}[/tex]

Here, we have:

[tex] \quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }[/tex]

[tex] \quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }[/tex]

[tex] \quad \dashrightarrow \quad \sf {V = 600cm^3 }[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given square pyramid is 600cm³.

[tex] \rule{350pt}{1pt}[/tex]

1. K(x) = (3x)2 -x + 2 -x + 1

k(x) = g(x) ∘ h(x)

2. K(x) = 2 ^3x + 2

k(x) = g(x) × h(x)

3. K(x) = 2^x - 3x - 2

k(x) = h(x) ÷ g(x))

4. K(x) = 3(2 x) + 2

k(x) = h(x) ∘ g(x)

5. K(x) = 2^x + 3x + 2

k(x) = g(x) - h(x)

6. K(x) = 2^x(3x + 2)

k(x) = g(x) + h(x)

Answer:

the answer of cosc= 8/17

6x + 2 and 3x + 1 are both equal to y, so they are both equal to each other.

6x + 2 = 3x + 1

3x = -1

x = -1/3

And plugging -1/3 in for x yields y = 0.

Answer:

[tex]\sf 4\frac{2}{5}[/tex]

steps to solve:

[tex]\sf 2\frac{3}{4} \ / \ \frac{5}{8}[/tex]

[tex]\sf \frac{11}{4} \ / \ \frac{5}{8}[/tex]

[tex]\sf \frac{11}{4} \ * \ \frac{8}{5}[/tex]

[tex]\sf \frac{88}{20}[/tex]

[tex]\sf \frac{22}{5}[/tex]

[tex]\sf 4\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\sf{\implies\frac{11}{4} \div \frac{5}{8} } \\ \sf{\implies \frac{11}{4} \times \frac{8}{5} } \\ \sf{\implies \frac{22}{5} }[/tex]

2 3/4 =11/4

Answer:

94

Step-by-step explanation:

first solve for x:

3x+22+3x+14= 180

6x+36= 180

6x= 144

x= 24

next fill the equation for angle 4 back in with x and solve:

3(24)+22= 94

Step-by-step explanation:

step 1 given

diametre of cylinder 6 cm

height of cylinder 10 cm

using formula

V=Bh

V= 6cm×10cm

V= 60 cm²

Answer:

165

Step-by-step explanation:

5% of 150 british pounds = 7.5 British pounds

2 years = 7.5 BS per year

7.5 + 7.5

= 15 british pounds

15 british pounds + 150 british pounds =

165 british pounds

Answer:

10.72

Step-by-step explanation:

a²+b²=c²

->

25²-16²= y²

625-256=y²

V369=y

y≈ 19.21

x²= 22²-y²

x²= 484-369

x= V115

x≈ 10.72

By using Pythagoras theorem the value of x is, 10.7 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The figure is shown.

Let the unknown side = y

Now, For upper triangle, we can use Pythagoras theorem as;

⇒ 25² = y² + 16²

⇒ 625 = y² + 256

⇒ y² = 369

⇒ y = √369

⇒ y = 19.2

Hence, The value of x is find as by using Pythagoras theorem as;

⇒ 19.2² + x² = 22²

⇒ 368.6 + x² = 484

⇒ x² = 484 - 368.6

⇒ x² = 115.4

⇒ x = √115.4

⇒ x = 10.7 units

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Answer:

I believe the answer is IQR

Step-by-step explanation:

Answer:

approximately 1 1/2 cups of sugar

Step-by-step explanation:

6 1/2 divided by the 4 gallons is the easiest way to get your answer

Answer:

the answer should be 49,773.3 $

Step-by-step explanation:

Cost of a gallon of gas=3829.10 $

Cost of 13 gallons =?

Cost of 13 gallons of gas ⛽=3829.10$ * 13

=49773.3 $

THEREFORE:The cost of 13 gallons of gas is= 49773.3 $

thank you

The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.

Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.

From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.

In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.

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Answer:

The correlation would stay the same because the change in units for time would have no effect on it.

Step-by-step explanation:

Answer:

∠ 4 = 130°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle , so

∠ 4 = ∠ 1 + ∠ 2 ( substitute values )

11x + 9 = 6x + 6 + 4x + 14 , that is

11x + 9 = 10x + 20 ( subtract 10x from both sides )

x + 9 = 20 ( subtract 9 from both sides )

x = 11

Then

∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°

your friend may have only calculated ∠ 1

∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

Answer:

apples= 15

oranges = 12

Step-by-step explanation:

5+4=9

27/9=3

therefore

apples=3*5=15

oranges=4*3=12

Awnser: I don't think you can try asking a parent or teahcer

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

The dashes on the lines show they are equal in length.

Therefore, by inspection of the diagram, we can see that the measures of the sides of the smaller triangle (with base 5x) are half the measures of the sides of the larger triangle (with base 70).

Therefore, creating an equation with this information:

    5x = 1/2 x 70

⇒ 5x = 35

⇒ x = 7

Solution:

Note that:

This means that...

Simplify the equation and solve for x.

The value of x is 7.

Step-by-step explanation:

All you need to do is divide cost by mile since they already factored in the additional $3 for you.

1. 8/5 = $1.60

2. 11/8 = $1.375 = $1.38

3. 23/20 = $1.15

Answer:

Given:-

Volume=lwh

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

[tex]= \displaystyle{ \frac{5}{2}m \times 4m \times \frac{9}{4} m }[/tex]

[tex] = \displaystyle{ } \frac{180 }{8} {m}^{3} [/tex]

[tex]= \displaystyle{ 22 \frac{4}{8} {m}^{3} }[/tex]

Step-by-step explanation:

Let the number of peas in Doris plate be x

now,

x = 40-13

or, x = 37

Therefore there are 37 peas in Dori's plate (would love if you could mark me the brainliest :))

Answer:

-(8,-1)

Step-by-step explanation:

Answer:

c. -8,-1

Step-by-step explanation:

Hope this helps.

~Learning with Natalia~

Answer:

17

Step-by-step explanation:

16,16,17,17,17,17,18,18,19

You first have to arrange the numbers if it's even, divide by two and if it's odd and the answer is always a whole number.

Answer:

11 and 12

Step-by-step explanation:

If you mean between which consecutive integers does [tex]\sqrt{125}[/tex] lie....

Find the square numbers either side of 125:   121 and 144.

Therefore, the consecutive integers between which  [tex]\sqrt{125}[/tex] lies are:

√121 and √144 ⇒ 11 and 12

Answer:

2nd choice

Step-by-step explanation:

hope this helps