Find k so that the line x+y=k is a tangent to the circle x²+y²=9​

Answer:

  50√3 ≈ 86.6 m

Step-by-step explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

  Sin = Opposite/Hypotenuse

  sin(60°) = (kite height)/(100 m)

  kite height = (100 m)·sin(60°) = (100 m)(√3)/2

  kite height = 50√3 m ≈ 86.6 m

x = 5/3

x = - 5/3

i believe this is the answer

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:

If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.

Step-by-step explanation: pls brain list

Answer:

84.13% of the lots received by the manufacturer will be returned to the supplier

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the mean length of the rods in each lot is 4 meters and standard deviation is 0.04 meter.

This means that \(\mu = 4, \sigma = 0.04\)

Sample of 64:

This means that \(n = 64, s = \frac{0.04}{\sqrt{64}} = 0.005\)

a) What percentage of the lots received by the manufacturer will be returned to the supplier

The proportion is the pvalue of Z when X = 4.005. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{4.005 - 4}{0.005}\)

\(Z = 1\)

\(Z = 1\) has a pvalue of 0.8413

0.8413*100% = 84.13%

84.13% of the lots received by the manufacturer will be returned to the supplier

Answer:

1/8

Step-by-step explanation:

You would need to get the reciprocal of negative eight and then change the sign so you would get 1/8

Answer:

If the packages are the same size and everything and has the same volume, then it would be 1/6 more of a package.

Step-by-step explanation:

1/6

1/6

1/6

1/3 is equal to 2/6 because you can multiply the numerator (the top) and the denominator (the bottom number in a fraction) by 2 to get 2/6. The pepperoni usage of the package was 2/6, while the sausage was 1/6.

2/6 minus (-) 1/6 is equal to 1/6.

The time required for the sloth to travel an 11.5-meter tree is

171.64 seconds.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A sloth is traveling at its top speed of 0.067 m/s.

∴ The time required for the sloth to travel an 11.5-meter tree is,

= (11.5/0.067) secs.

= 171.64 seconds.

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Answer:

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

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

The required simple interest would be the amount of $7500 if invest $30,000 for 10 years in an account that pays 2.5%.

We have been given data:

Principal (P) = $30,000

Rate of Interest (R) = 2.5% = 2.5/100 = 0.025

Time (T) = 10 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest  = 30,000 × 2.5% × 10

⇒ Simple interest  = 30,000 × 2.5/100 × 10

⇒ Simple interest  = 30,000 × 0.025 × 10

Apply the multiplication operation, and we get

⇒ Simple interest  = $7,500

Therefore, the required simple interest would be the amount of $7500.

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Answer:

Simply interest = $750.00.

Step-by-step explanation:

From the question

Principal = $30,000

Time = 10 years

Rate = 2.5%.

Sample interest = ?

Simple interest is give by the formula

= Principal × Rate ×Time

100

= 30,000 × 2.5 × 10

100

=3000 × 2.5 × 1

Note: hundred use it two zero to cancel one zero of 30,000 and one zero of 10 living 3000 and 1

Simple interest = $750.00

Answer:

a. 45/1024

b. 1/4

c. 15/128

d. 193/512

e. 9/256

Step-by-step explanation:

Here, each position can be either a 0 or a 1.

So, total number of strings possible = 2^10 = 1024

a) For strings that have exactly two 1's,

it means there must also be exactly eight 0's.

Thus, total number of such strings possible

10!/2!8!=45

Thus, probability is

45/1024

b) Here, we have fixed the 1st and the last positions, and eight positions are available.

Each of these 8 positions can take either a 0 or a 1.

Thus, total number of such strings possible

=2^8=256

Thus, probability is

256/1024 = 1/4

c) For sum of bits to be equal to seven, we must have exactly seven 1's in the string.

Also, it means there must also be exactly three 0's

Thus, total number of such strings possible

10!/7!3!=120

Thus, probability

120/1024 = 15/128

d) Following are the possibilities :

There are six 0's, four 1's :

So, number of strings

10!/6!4!=210

There are seven 0's, three 1's :

So, number of strings

10!/7!3!=120

There are eight 0's, two 1's :

So, number of strings

10!/8!2!=45

There are nine 0's, one 1's :

So, number of strings

10!/9!1!=10

There are ten 0's, zero 1's :

So, number of strings

10!/10!0!=1

Thus, total number of string possible

= 210 + 120 + 45 + 10 + 1

= 386

Thus, probability is

386/1024 = 193/512

e) Here, we have fixed the starting position, so 9 positions remain.

In these 9 positions, there must be exactly two 1's, which means there must also be exactly seven 0's.

Thus, total number of such strings possible

9!/2!7!=36

Thus, probability is

36/1024 = 9/256

Answer:

x = 9

Step-by-step explanation:

first, you would subtract 1 from 80 and get -9x = -81 then you can just divide -81 by -9 or 9 from 81, either way, you'll have x = 9

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\boxed{x=9}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving the Equation for 'x':}}\\\\-9x+1=-80\\---------\\\rightarrow -9x+1-1=-80-1\\\\\rightarrow -9x=-81\\\\\rightarrow\frac{-9x=-81}{-9}\\\\\rightarrow \boxed{x=9}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

B, C, & E

Step-by-step explanation:

The population of Kentucky is nearly 5.9 times that of North Dakota.

To determine how many times larger Kentucky's population is than North Dakota's population, divide Kentucky's population by North Dakota's population:

4.47 x 10^6 / 7.62 x 10^5

We can simplify the fraction by dividing both the numerator and denominator by 7.62 x 10: 4.47 x 106 / 7.62 x 105 = 5.87

5.9, rounded to the closest tenth.

As a result, the population of Kentucky is nearly 5.9 times that of North Dakota.

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Answer:

x = 16°

H = 46°

I = 55°

J = 39°

Step-by-step explanation:

Since the whole figure is 180°

Deduct 180 by the numbers mentioned above in order to find x.

180 - 2 - 9 - 9 = 160

3x + 4x + 3x = 10x

10 x = 160

x = 160 ÷ 10 = 16

Since we know what x is, we can find all the angles in the figure.

Angle at H = 3 x 16 - 2 = 46°

Angle at I = 4 x 16 - 9 = 55°

Angle at J = 3 x 16 - 9 = 39°

The value of x is 20.

The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments. When the values of the other two angles are known, one can utilise the angle sum property to determine the measure of an unknown interior angle.

Given:

Angles are: 3x-2, 3x-9 , 4x-9

Using Angle Sum Property

3x-2 + 3x -9 + 4x- 9 = 180

10x - 20 = 180

10x = 200

x= 200/10

x= 20

Hence, the value of x is 20.

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Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

do you have a picture of the question

Answer:

(3,7)

Step-by-step explanation:

Use a system of equations to solve for x and y which would be the only points where the two lines intersect

x+y=10

y=2x+1

since y=2x+1 you can put 2x+1 for y

so x+2x+1=10

3x+1=10

3x=9

x=3

put that back into x+y=10

3+y=10

y=7

So the only point where those two lines intersect is (3,7)

Hope that helps :)

Please give brainliest

Okay, here are the steps to solve this problem:

* The purchase price of the motorcycle is $9,100

* The down payment on the lease is $600

* The monthly lease payment is $250

So to find the function that describes the total cost (p) in terms of time (t) in months:

p(t) = 600 + 250t

* The initial down payment is $600

* Each month, you pay $250

* So the total paid after t months is $600 + $250t

To find how long it will take to pay more than the purchase price:

600 + 250t > 9,100

250t > 8,500

t > 34

So in this case, it will take 35 months or slightly over 2 years of lease payments to exceed the purchase price of the motorcycle.

Does this make sense? Let me know if you have any other questions!

Answer:

p = 600 + 250t

t = 34

Step-by-step explanation:

To find a function that describes how the cost of the lease depends on time, we need to consider the initial cost and the monthly cost of the lease. The initial cost is the down payment of $600, which is paid once at the beginning of the lease. The monthly cost is $250, which is paid every month for the duration of the lease. Therefore, the total cost of the lease after t months is:

p = 600 + 250t

This is the function that models the situation. It is a linear function with a slope of 250 and a y-intercept of 600.

To find how long can the motorcycle be leased before more than the purchase price has been paid, we need to compare the cost of the lease with the purchase price of $9100. We need to find the value of t that makes p equal to 9100. We can do this by solving the equation:

p = 600 + 250t

9100 = 600 + 250t

Subtracting 600 from both sides, we get:

8500 = 250t

Dividing both sides by 250, we get:

t = 34

This means that after 34 months, the cost of the lease will be equal to the purchase price. Therefore, to pay more than the purchase price, the motorcycle must be leased for more than 34 months.

Here's a funny way to remember this:

Why did the motorcycle renter cross the road? To get to his monthly payment!

What do you call a motorcycle that costs more than its worth? A cycle-path!

How do you make seven an even number? Just remove the "s"!

The neighbor will donate $0.25 for every 40ft run.

The aunt will donate $18 for every mile run.

To determine how much he will raise if he runs 5miles, you have to calculate the amount per donor and then add them:

Neighbor

1 mile is equal to 5280 feet

To determine how many feet correspond to 5 miles, multiply the distance by 5280

Next, calculate how much we will make:

40ft → $0.25

26400ft → $x

For running 5miles, Dustin will raise $165 from the neighbor.

Aunt

The aunt will donate $18 per mile run, to determine how much she will donate, multiply $18 by 5

For running 5 miles, Dustin will raise $90 from the neighbor.

Next, add both amounts:

Dustin will raise $255 for running 5 miles.

Step-by-step explanation:

if there were 10 tables at the company's luncheon and the company ordered 25 pizzas then each table should have 2.5 pizzas or 2 whole number

1/2 pizza or 5/2 pizza .

Answer:

27 64 213 1004

Step-by-step explanation:

its 3 by 3 so its 213

Answer:  5

Step-by-step explanation:

3(2x-3)=21

6x-9=21

6x=30

x=5

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

To determine the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\), we need to consider the situation and the constraints given.

The function A(t) represents the area of the rectangular garden as a function of the length of one of its sides, which is denoted by t.

We are also told that Marama plans to fence the garden with 28 feet of wired fencing.

Now, let's break down the problem and find the appropriate values for the domain.

We know that the perimeter of a rectangle is the sum of all its sides. In this case, since we have a rectangular garden, the perimeter can be represented as:

\(Perimeter = 2t + 2w\),

where t is the length of one side (the width) and w is the length of the other side (the width).

The problem states that Marama plans to use 28 feet of wired fencing. Therefore, the perimeter of the garden must equal 28 feet:

\(2t + 2w = 28\).

Simplifying this equation, we have:

\(t + w = 14\).

We can express w in terms of t as \(w = 14 - t\).

The area of a rectangle is given by the product of its length and width:

\(Area = t \times w\).

Substituting the expression for w from step 2, we have:

\(A(t) = t \times (14 - t)\).

Simplifying further:

\(A(t) = 14t - t^2\).

To determine the appropriate values of the domain, we need to consider the context of the problem. Since we are dealing with a physical garden, both the length and width must be positive numbers. Additionally, the values of t must be feasible given the constraints of the perimeter.

We know that \(t + w = 14\), so \(t + (14 - t) = 14\), which simplifies to \(14 = 14\).

This shows that the value of t can range from 0 to 14, inclusive.

Therefore, the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\) are \(t \epsilon [0, 14]\).

To illustrate this graphically, we can plot the function \(A(t) = -t^2 + 14t\) and mark the appropriate values of the domain on the x-axis (representing t):

   ^

   |

A(t)|

   |

   |_______________________________

   0              t             14

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

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Answer:

None of them, the answer is 250

Step-by-step explanation:

Answer:

(4)^-3 or 1/64

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Answer:

\(x = \frac{3}{2} \)

Step-by-step explanation:

\( \frac{x + 6}{x + 1} = \frac{6}{2} \)

\( \frac{6}{2} = 3\)

so, the solution of the equation will be as follows:

\( \frac{x + 6}{x + 1} = 3\)

3(x+1) = x + 6

3x + 3 = x + 6

3x - x = 6 - 3

\(x = \frac{3}{2} \)

so, the answer will be x = 3/2

Take a piece of paper and note the following on your diagram. It will be difficult to follow without an annotated diagram.

Label the (horizontal) diameter as CD, with C on the left.

Label the chord 16 units long as PA (P on the left).

Label the chord 12 units long as QB (Q on the left).

Label the centre of the circle as O.

Construct a (vertical) diameter perpendicular to CD. Label the ends as E (on top) and F (at the bottom).

Label the intersection PA and EF as X, and the distance OX=x.

Label the intersection QB and EF as Y, and the distance OY=y.

Label the radius of the circle as r = OD.

Confirm that:

OD=OE=OC=OF=r=10

PX=XA=8

QY=YB=6

We don't know yet the distances x and y.

By the theorem of intersection of chords, we have

PX*XA = FX*XE

8²=(10-x)(10+x)

Solve for x to get 6.

θ1=∠AOD=sin-1(6/10)

Similarly,

QY*YB=(10-y)(10+y)

6²=(10-y)(10+y)

Solve for y to get 8.

θ2=∠BOD=sin-1(6/10)

⇒

φ=∠BOA=θ2-θ1

Arc length of AB

=rφ/2π

=10φ/2π