The radius of a circle is 4 feet. What is the area?

r=4ft

Give the exact answer in simplest form.

Answer:

54 sq ft

Step-by-step explanation:

6ft x 3 ft = 18 sq ft

9 ft x 4 ft = 36 sq ft

18 sq ft + 36 sq ft = 54 sq ft

The choices should be in sq ft, not in sq cm

The value of area in sq cm would be far greater than the value of area in sq ft.

Answer:

Circumference ~ 53.4

Step-by-step explanation:

Use the distance formula to get the radius of the circle. The radius is about 8.5. Now put 8.5 into the formula 2(pi)r for the Circumference. Rounding to the nearest tenth the answer is 53.4

The probability P(Z < -2.33 or Z > 2.33) is approximately 0.0198.

To find the probability P(Z < -2.33 or Z > 2.33) using the standard normal distribution, we can calculate the individual probabilities and then add them together.

Using a standard normal distribution calculator

The value for P(Z < -2.33) is approximately 0.0099.

P(Z < -2.33), which is approximately 0.0099.

we can add the two probabilities together

P(Z < -2.33 or Z > 2.33) = P(Z < -2.33) + P(Z > 2.33)

= 0.0099 + 0.0099

= 0.0198

Therefore, the probability P(Z < -2.33 or Z > 2.33) is approximately 0.0198

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Answer: x=15

Step-by-step explanation:Step 1: Cross-multiply.

5

4

=

x

12

(5)*(12)=x*(4)

60=4x

Step 2: Flip the equation.

4x=60

Step 3: Divide both sides by 4.

4x

4

=

60

4

x=15

Answer:

x=15

Answer: h = 6

explanation:

first u get h by itself

4h + 6 = 30

subtract 6 from both sides

4h = 24

divide by 4 on both sides

h = 6

Answer:h=3/13

Step-by-step explanation: Subtract 6  from both sides of the equation 4h+6-6=30h-6 you simplify 4h=30h-6. Subtract 30h  from both sides of the equation then you get -26h=-6 then you divide both sides of the equation by the same term -26h/-26=-6/-26 and your answer is 3/13.

Using the Mean Value Theorem, sin xsin y ≤ x − y| for all real numbers x and y, sinx is uniformly continuous on R.

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) where the derivative of the function is equal to the average rate of change of the function over [a, b].

Applying this theorem to the function f(x) = sin x on the interval [x, y], we can find a point c between x and y where the derivative of f(x) is equal to the average rate of change of f(x) over [x, y].

Since the derivative of sin x is cos x, we have cos c = (sin y - sin x) / (y - x). Rearranging the inequality, we get sin y - sin x ≤ cos c (y - x). Now, using the fact that |cos c| ≤ 1, we can rewrite the inequality as sin y - sin x ≤ |y - x|. Thus, sin xsin y ≤ x - y| for all real numbers x and y.

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Answer: x=17 and 98

Step-by-step explanation:

Those two angles are supplementary so just add them together and make it equal to 180.

Answer:

x=49

Step-by-step explanation:

Using the law of sines, the value of q is: D. 72.7.

The law of sines is given as: sin A/a = sin B/b = sin C/c.

Thus, given △PQS, where:

m∠Q = 22°

m∠S = 65°

s = 176

Applying the law of sines, we have:

sin Q/q = sin S/s

Substitute

sin 22/q = sin 65/176

q = (sin 22 × 176)/sin 65

q = 72.7

Therefore, using the law of sines, the value of q is: D. 72.7.

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Answer:

P'(0, -4)

Step-by-step explanation:

when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees

Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)

Answer:

x=1 and y=1

Step-by-step explanation:

see attachment

Answer:

No

Step-by-step explanation:

Use the Pythagorean Theorem to check on this.  

Does 8^2 + 8^2 = 12^2?  Does 64 + 64 = 144?  NO.  So this is not a right triangle.

Answer:

9 students is the correct answer :(

Answer:

(7, - 1 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

(- 1, 7 ) → (7, - 1 )

If the discount rate is 7 ​percent, then the​ project's NPV is $13,950,300.

Total expenditure = $10,500,000

Cost of operations = $3,500,000

Time = 9 years

Cash inflows = ​$4,400,000.

Calculating the present value (PV) of the annual net cash inflows -

[tex]PV = Cash inflow / (1 + Discount rate)^n[/tex]

[tex]PV = $3,500,000 / (1 + 0.07)^1 + $3,500,000 / (1 + 0.07)^2 + ... + $3,500,000 / (1 + 0.07)^9[/tex]

[tex]PV = $3,500,000 * [1 - (1 + 0.07)^-9] / 0.07[/tex]

= $24,450,300

Calculating the present value of the investment -

[tex]= $4,400,000 / (1 + 0.07)^9[/tex]

= $2,835,607

Calculating NPV -

NPV = PV of cash inflows - Initial investment cost

= $24,450,300 - $10,500,000

= $13,950,300

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Answer:

10.29 km

Step-by-step explanation:

Given that,

A ship sails 9 km due West, then 5 km due South.

We need to find the distance of the ship from its initial position. Let the distance be d. We can find it as follows :

[tex]d=\sqrt{9^2+5^2} \\\\d=10.29\ km[/tex]

So, the required distance of the ship from its initial position is equal to 10.29 km.

i think your answer is B. 27x

Answer:

1/3

Step-by-step explanation:

From the figure, we know that the median of Amy is 40 and the median of Megan is 35.

Therefore the difference in their medians is = 40 - 35

                                                                         = 5

We see that Q1 of Megan is 25 and Q3 is 40. Therefore, her interquartile range is given by Q3 - Q1 = 40 - 25

                                           = 15

So, the difference of the medians is the multiple of the interquartile range.

So the multiple is = 5/15

                             = 1/3 (IQR of Megan)

Answer:

Yes, I can describe the difference of the two medians as a multiple of the interquartile range as shown below.

Step-by-step explanation:

The difference of the medians for the two data sets is 69 − 60 = 9. The interquartile ranges for the data sets are 9 ounces and 8 ounces.

This shows that the difference of the medians is about 1 times, or nearly equal to, the interquartile range of either data set.

For Genivieve, the multiple is 1:

9 = m(9)

m = 1

For Mindy, the multiple is 1.125:

9 = m(8)

m = 1.125

(This is the answer on edumentum)

The standard deviation of the distribution of sample means is approximately 2.331.

The mean of the distribution of sample means, also known as the sampling distribution mean, is equal to the population mean. In this case, the population mean (μ) is given as 31.3. Therefore, the mean of the distribution of sample means is also 31.3.

The standard deviation of the distribution of sample means, also known as the standard error, can be calculated using the formula:

Standard Error = Population Standard Deviation / √(Sample Size)

In this case, the population standard deviation (σ) is given as 18.4, and the sample size (n) is 62. Plugging these values into the formula, we get:

Standard Error = 18.4 / √(62)

Standard Error ≈ 2.331

Therefore, the standard deviation of the distribution of sample means is approximately 2.331.

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Answer:

1. d

2. c

3. b

4. f

5. a

6. e

Step-by-step explanation:

Good Luck

Answer: 608

Step-by-step explanation: multiply by 2

Answer:

Legs - the sides that form the right angle of a right triangle.

Hypotenuse - the side opposite the right angle of a right triangle.

Step-by-step explanation:

Every triangle has 3 sides.

Certain special triangle have specific names assigned to their sides.

A right triangle has one right angle and two acute angles. The two sides that form the right angle of a right triangle are called legs. The third side of the right triangle is called hypotenuse. The hypotenuse is opposite the right angle and does not help form the right angle.

Answer: B

Step-by-step explanation:

4.2 / 0.25 = 21

0.4 · 21 = 8.4

8.4 + 2.5 = 10.9

Answer:

y=x^28x+31

Step-by-step explanation:

Answer:   y= x 4 − 6 y = 1 x − 2

Step-by-step explanation:

Answer:

−4x2−2

Step-by-step explanation:

Answer: 3, The initial velocity of the rocket

Answer:

the initial velocity of the rocket

Step-by-step explanation:

Answer:

y= 100,000*(1.042^x)

Step-by-step explanation:

Giving the following information:

Present Value= 100,000 people

Growth rate (g)= 4.2% per year

To calculate the future value (y) of the in any given year (x), we need to use the following formula:

y= PV*(1 + g)^x

y= 100,000*(1.042^x)

For example, for 5 years:

y= 100,000*1.042^5

y= 122,839.66 = 122,839

Multiply the length by width by the height/3

7 x 6 x 8/3 = 112 in^2

The answer is 112 in^2

Answer:

112

Step-by-step explanation: