8 through 10 thank you answers only

The missing coordinates are listed below:

According to the polar coordinate system, a vector in standard position is defined by this parametric formula:

(x, y) = (r · cos t, r · sin t), where t is in radians.

If we assume that r = 1, then we proceed to determine the location of the seven points remaining:

(x₁, y₁) = (cos π/2, sin π/2)

(x₁, y₁) = (0, 1)

(x₂, y₂) = (cos 3π/4, sin 3π/4)

(x₂, y₂) = (- √2 /2, √2 /2)

(x₃, y₃) = (cos π, sin π)

(x₃, y₃) = (- 1, 0)

(x₄, y₄) = (cos 5π/4, sin 5π/4)

(x₄, y₄) = (- √2 /2, - √2 /2)

(x₅, y₅) = (cos 3π/2, sin 3π/2)

(x₅, y₅) = (0, - 1)

(x₆, y₆) = (cos 7π/4, sin 7π/4)

(x₆, y₆) = (- √2 /2, √2 /2)

(x₇, y₇) = (cos 2π, sin 2π)

(x₇, y₇) = (1, 0)

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Given the length of the ladder and the angle it made with the ground, it will reach 16.7 ft up the wall.

Given that;

To determine the length wall from the tip of the ladder to the ground level, we use trigonometric ratio since the scenario forms a right angle triangle.

Sinθ = Opposite / Hypotenuse

Sin( 71° ) = x / 17ft

x = Sin( 71° ) × 17ft

x = 0.9455 × 17ft

x = 16.1 ft

Given the length of the ladder and the angle it made with the ground, it will reach 16.7 ft up the wall.

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Answer:

10

Step-by-step explanation:

Answer:

10 apples

Step-by-step explanation:

20% of 50 = 10

10 apples

Answer:

10.26 I believe you wanted me to divide 7.39/0.72. If so, you get 10.2638 that rounds to 10.26

Step-by-step explanation:

Can u give me brainliest please

The value of the expression 7.39 ÷ 0.72 is 10.26 to the nearest hundredths.

We have,

Expression:

7.39 ÷ 0.72

Now,

The expression can be written as,

= 7.39 / 0.72 ______(1)

Simplify the numerator and denominator.

Numerator = 7.39 = 739/100 _____(2)

Denominator = 0.72 = 72/100 ______(3)

Now,

From (1), (2), and (3).

7.39 / 0.72

= (739/100) / (72/100)

= 739/100 x 100/72

100 is the common factor so it gets canceled.

= 739/72

= 10.2638888.....

Rounding to the nearest hundredths.

= 10.26

Thus.

The value of the expression 7.39 ÷ 0.72 is 10.26 to the nearest hundredths.

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The polynomial function is P(x) = x^3(x + 1)^3(x -1)

The zeros of the polynomial and the multiplicities are given as:

The degree is given as

Degree = 7

The polynomial is represented as:

P(x) = (x - zero)^multiplicity

Using the above format, we have

P(x) = (x + 1)^3(x - 0)^3(x -1)

This gives

P(x) = x^3(x + 1)^3(x -1)

Hence, the polynomial function is P(x) = x^3(x + 1)^3(x -1)

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Option B. The estimate that would most likey come from the small sample is going to be B. 59 % (+-21%).

The sample space can be gotten rom the margin of error. A smaller sample space would be gotten by dividing with a larger number.

This would give a margin of error that is large. In the second option, we can see that the largest margin of error is ± 21%.

Hence this is the answer to the question.

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Answer:

subtract 11.3 from 15.9 and b is 4.6

Step-by-step explanation:

Answer:

166 2/3 meters/sec.

Step-by-step explanation:

1/1 =1  12 inches/1 foot =1  you are looking for equivalents that will cancel out the unit until you can get to meters and seconds.  See work in the picture.

The height of candle 4 is twice that of candle B after 2.4 hours.

For candle, A time is taken for 100% bearning=4hour.

For 1 hour, it burns for 25%(100/4)

After 1 hr.[tex]\frac{25}{100}[/tex]

After x hours, the amount burnt[tex]=\frac{x}{4}[/tex]

Amount left[tex]=1-\frac{x}{4} =\frac{4-x}{4}[/tex]

Let's not presume that candle B's height will be half that of candle A after x hours.

After x hours, part vemacing [tex]=1-\frac{x}{3} =\frac{3-x}{3}[/tex]

[tex]\frac{4-x}{4} =1\frac{3-x}{3}[/tex]

Height of candle A[tex]=2[/tex]×Height of candle B.

[tex]12-3x=24-8x[/tex]

   ⇒[tex]5x=12[/tex]

        [tex]x=\frac{12}{5}[/tex]

           [tex]=2.4[/tex]

The height of candle 4 is twice that of candle B after 2.4 hours.

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Answer:

65°

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent, so both angle Q and angle P are congruent.

Since angles in a triangle add to 180°, angle Q measures (180-50)/2 = 65°

The ratio between 28,000 and 14 is 2000 : 1

The numbers are given as:

28,000 and 14

Express as ratio

Ratio = 28000 : 14

Divide each number by 14

Ratio = 2000 : 1

Hence, the ratio between 28,000 and 14 is 2000 : 1

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The value of the definite integral [tex]\int\limits^{10}_5 {g(x)} \, dx = 18[/tex]

The question has to do with definite integrals

Definite integrals are integrals obtained within a range of values (or limits) of the independent variable.

Given that

For any integral  [tex]\int\limits^a_c {g(x)} \, dx = \int\limits^a_b {g(x)} \, dx + \int\limits^b_c {g(x)} \, dx[/tex]

So,  [tex]\int\limits^{10}_3 {g(x)} \, dx = \int\limits^5_3 {g(x)} \, dx + \int\limits^{10}_5 {g(x)} \, dx[/tex]

So,   [tex]\int\limits^{10}_5 {g(x)} \, dx = \int\limits^{10}_3 {g(x)} \, dx - \int\limits^5_3 {g(x)} \, dx[/tex]

Since

Substituting the values of the variables into the equation, we have

[tex]\int\limits^{10}_5 {g(x)} \, dx = \int\limits^{10}_3 {g(x)} \, dx - \int\limits^5_3 {g(x)} \, dx[/tex]

[tex]\int\limits^{10}_5 {g(x)} \, dx = 36 - 18 \\\int\limits^{10}_5 {g(x)} \, dx = 18[/tex]

So, the value of the definite integral [tex]\int\limits^{10}_5 {g(x)} \, dx = 18[/tex]

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Answer:

4.5 tablets.

Step-by-step explanation:

We just divide 9 by 2.

13. The tablets needed is 4 and a half.

14. There are 10 half-gram doses available from the 5 gram vials of medication.

15. Pat's heart beats approximately 58.5 times in 3/4 of a minute.

Given are words problems based on the mixed numbers:

13. To determine the number of tablets needed, we divide the total dosage required by the dosage per tablet.

In this case, the nurse needs to administer 9 milligrams of medication, and each tablet contains 2 milligrams.

So, the number of tablets needed is:

9 milligrams / 2 milligrams per tablet = 4.5 tablets

Hence, the tablets needed is 4 and a half.

14. If the pharmacy has 5 gram vials of medication, we can calculate the number of 1/2 gram doses available by dividing the total amount of medication by the dose size.

The total amount of medication in grams is 5 grams.

To find the number of 1/2 gram doses available, we divide the total amount of medication (5 grams) by the dose size (1/2 gram):

5 grams / (1/2 gram) = 5 grams x (2/1 gram)

= 5 x 2 = 10 doses.

Therefore, there are 10 half-gram doses available from the 5 gram vials of medication.

15. To calculate how many times Pat's heart beats in 3/4 of a minute, you can use a simple proportion:

1 minute = 78 beats

3/4 minute = ? beats

Let's solve for the number of beats in 3/4 of a minute:

Number of beats in 3/4 minute = (3/4) x 78

= 0.75 x 78

= 58.5

So, Pat's heart beats approximately 58.5 times in 3/4 of a minute. Since you can't have half a heartbeat, the closest whole number is 58 beats.

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The rays and lines in the picture are as follows;

rays: BD, AC and AB

lines: AC

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

A ray is named using its endpoint first, and then any other point on the ray

A line segment has two endpoints.

Therefore, the rays and lines are as follows:

rays: BD, AC and AB

lines: AC

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Answer:

5a²b + 7ab² + 9c + 11a²b - 3ab² - 9c

= (5a²b + 11a²b) + (7ab² - 3ab²) + (9c - 9c)

= 16a²b + 4ab²

The formula, solved for r is r = ∛(9V/π)

From the question, we are to solve for r is the given formula

The given formula is

V = 1/9πr³

Multiply both sides of the equation by 9 to get

9V = πr³

Now, divide both sides by π

∴ r³ = 9V/π

r = ∛(9V/π)

Hence, the formula, solved for r is r = ∛(9V/π)

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Answer:

12 inches

Step-by-step explanation:

Perimeter refers to distance around the 2D shape.

A hexagon is a polygon with 6 sides. The formula for the perimeter of a hexagon is P=6s

72=6s

The hexagon is 12 inches long

A hexagon has 6 sides. This means that 72 divided by 6 sides = 12 in.

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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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Answer:

5)

rise over run so

5/5 = 1

6)

-2/4 = -0.5

The best sampling method that Is most appropriate for the town planner is called Stratified Sampling.

The best sampling method that I would recommend for the town planner is called Stratified Sampling.

The reason for using stratified sampling is because it is a method of sampling that involves dividing a population into smaller groups–called strata and in this case, the rows of houses can be used as a strata.

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The point has a real part of 0 and an imaginary part of 18, and thus corresponds to the point (0,18) in the complex plane.

Answer:

  31√2 feet

Step-by-step explanation:

The height can be found using the Pythagorean theorem. The height of the pyramid will be the height of the right triangle whose sides are half the diagonal of the square base, the distance from the base to the peak, and the edge from the peak back to the corner of the base.

Let h represent the height of the pyramid. The diagonal of the square base will be √2 times the side of the base. So, half the diagonal will be 17√2 ft. The Pythagorean theorem tells us ...

  h² +(17√2)² = 50²

Subtracting the constant on the left gives ...

  h² = 2500 -578 = 1992

  h = √1992 = 31√2

The height of the square pyramid is exactly 31√2 feet.

__

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Using the z-distribution, it is found that a sample size of 3,385 is required.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.

We have no prior estimate, hence [tex]\pi = 0.5[/tex] is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.02\sqrt{n} = 2.327 \times 0.5[/tex]

[tex]\sqrt{n} = \left(\frac{2.327 \times 0.5}{0.02}\right)[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.327 \times 0.5}{0.02}\right)^2[/tex]

n = 3,385.

A sample size of 3,385 is required.

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The true statement is that Alex is 50% taller than Dan.

They both measured themselves against a tree in their backyard.

Therefore, the tree is 80% taller than Dan and 20% taller than Alex.

Hence,

let

Dan height = x

Tree's height = x + 0.8x

Tree's height = 1.8x

let

Alex height = y

Tree's height = y + 0.2y

Tree's height = 1.2y

Therefore, if we use Dan height as 100, the height of the tree will be 180.

Then,

180 = 1.2y

y = 150

This means Alex is 50 percent taller than Dan.

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Answer:

A $1950

Step-by-step explanation:

Food, camper rental and camp site will cost 1350

(120 + 65 + 85)5 = 1350

The trip is 2500 and the car gets  8 miles per gallon  2500/8 = 31.5.  The will need to buy 31.5 gallons of gas at 1.92 a gallon or $600 (31.5 x 1.92).

When we add the cost of gas to the other costs, we get a total of 1950 (1350 + 600)

Answer:

=

Step-by-step explanation:

{0}={} because 0 means that there is nothing and in null set too, there is no elements.

Using conditional probability, there is a 0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

For this problem, the events are given as follows:

The parameters are given as follows:

Hence the conditional probability is:

[tex]P(B|A) = \frac{0.33}{0.495} = 0.6667[/tex]

0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.

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The value of x in 2^x - 2 when x = 0, x = 1 and x = 2 are -1, 0 and 2 respectively. option A

2^x - 2

when x = 0

2^x - 2

= 2^0 - 2

= 1 - 2

= -1

when x = 1

2^x - 2

=2^1 - 2

= 2 - 2

= 0

when x = 2

2^x - 2

= 2^2 - 2

= 4 - 2

= 2

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The points on the circumference are (3, 5), (3, -9), (8, -2 + √24) and (8, -2 - √24))

The circle equation is given as:

(x-3)^2 +(y+2)^2= 49

Rewrite as:

(y+2)^2= 49 -(x-3)^2

Take the square root of both sides

y+2= ±√[49 -(x-3)^2]

Subtract 2 from both sides

y = -2 ± √[49 -(x-3)^2]

Next, we determine the points

Set x = 3

y = -2 ± √[49 -(3-3)^2]

Evaluate

y = -2 ± 7

Solve

y = 5 and y = -9

So, we have

(x, y) = (3, 5) and (3, -9)

Set x = 8

y = -2 ± √[49 -(8-3)^2]

Evaluate

y = -2 ± √24

Solve

y = -2 - √24 and y = -2 + √24

So, we have

(x, y) = (8, -2 + √24) and (8, -2 - √24)

Hence, the points on the circumference are (3, 5), (3, -9), (8, -2 + √24) and (8, -2 - √24)

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