What is the length of chord JK?

What Is The Length Of Chord JK?

Answers

Answer 1
The 2 chords are equidistant from the center and are therefore equal.
So, chord JK = LM
3p + 2 = 7p -2
4p = 4
So, p = 1
Since p = 1 then chord JK = 3p +2
JK = 3*1 + 2
JK = 5
Answer is "C"



Related Questions

The volume of a cuboid is 1404cm3. The length is 9cm and the width is 130mm. Work out the height of the cuboid in cm.

Answers

Convert mm to cm:
130mm = 13cm

Formula:
Volume = Length x Width x Height

Substitute known values into the variables:
1404 = 9 x 13 x height

1404 = 117 x height

height = 1404 ÷ 117 = 12 cm

Answer : Height = 12 cm

To calculate the height of the cuboid, we convert the width to centimeters and use the volume formula. After conversion, we find the height by dividing the volume (1404cm³) by the product of the length (9cm) and width (13cm), resulting in a height of 12cm.

To find the height of the cuboid, we can use the formula for calculating volume, which is volume = length x width x height. The question gives us the volume of the cuboid as 1404cm³, the length as 9cm, and the width as 130mm. However, we need to ensure all units are the same, so let's convert the width from millimeters to centimeters: 130mm = 13cm (since 1cm = 10mm).

Now, using the formula for volume:

Volume = length x width x height1404cm³ = 9cm x 13cm x height

To find the height, we divide the volume by the product of the length and width:

height = Volume / (length x width)height = 1404cm³ / (9cm x 13cm)height = 1404cm³ / 117cm²height = 12cm

Therefore, the height of the cuboid is 12cm.

PLEASE HELP I NEED SOMEBODY TO PARAPHRASE THIS FOR ME! I'LL MARK BRAINLIEST!! 50 POINTS!!!


if the variables cancel out leaving u with an untrue statement, like 0 = 4 or 2 = 6, then u will have no solutions
if the variables cancel out leaving u with a true statement, like 2 = 2 or 4 = 4, then u will have infinite solutions
if u end up with a variable equaling a number, then u have 1 solution

Answers

3x + 4 = 2x + 2
3x - 2x = 2 - 4
x = -2
one solution
3x+4=2x+2
3x-2x=2x+2-2x
1x=2

The other person is wrong

A lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 100 bacteria. According to the exponential function f(x) = 100(4)x, the bacteria quadruple every hour. Which equation could you use to determine the number of bacteria in the colony after 6 hours?

Answers

We know that the exponential growth of the Bacteria's population is model by the function [tex]f(x)=100(4)^x[/tex], so to find the number of bacteria after 6 hours, we just need to evaluate our function at [tex]x=6[/tex]. In other words, we are going to replace [tex]x[/tex] with 6 in our function:
[tex]f(x)=100(4)^x[/tex]
[tex]f(6)=100(4)^6[/tex]
[tex]f(6)=409600[/tex]

We can conclude that the we should use the equation: [tex]f(6)=100(4)^6[/tex] to find the number of bacteria in the colony after 6 hours. Evaluating the function we get that the number is 409,600.

The equation to determine the number of bacteria in the colony after 6 hours is [tex]f(x) = 100(4)^x[/tex] and after 6 hours, there will be 409,600 bacteria in the colony.

To find the number of bacteria after 6 hours, one would substitute x with 6 in the exponential function [tex]f(x) = 100(4)^x[/tex].

This function models the growth of the bacteria colony, where the initial number of bacteria is 100 and they quadruple every hour.

The variable x represents the number of hours that have passed since the initial measurement at 9:00 a.m.

By substituting x = 6 into the function, we get:

[tex]f(6) = 100(4)^6[/tex]

Now, calculate the value of [tex](4)^6[/tex]:

[tex](4)^6 = 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 4096[/tex]

Then, multiply this by the initial number of bacteria, which is 100:

f(6) = 100 [tex]\times[/tex] 4096

Finally, calculate the total number of bacteria after 6 hours:

f(6) = 409600

Length of side AB???

Answers

[tex]\cos(\theta) = \dfrac{adj}{hyp} [/tex]

[tex]\cos(62) = \dfrac{AB}{12} [/tex]

[tex]AB = 12 \cos (62)[/tex]

[tex]AB = 5.6 \text { cm}[/tex]

Due tomorrow please help

Answers

For some of these, a calculator is helpul.

The sum is 294903.

_____
This is the sum of 15 terms of a geometric sequence with first term 9 and common ratio 2. That sum is given by the formula
[tex]S_{n}=a\dfrac{r^{n}-1}{r-1}[/tex]
[tex]S_{15}=9\dfrac{2^{15}-1}{2-1}=9\cdot(32768-1)=294903[/tex]

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

To the nearest tenth of a foot, how far from the building is the base of the ladder?



20.5 ft


30.5 ft


32.3 ft


39.5 ft

Answers

Final answer:

The distance from the building to the base of the ladder, when the ladder makes an angle of 70 degrees with the ground and the ladder is 25 feet long, can be calculated using the cosine function. The calculated distance is approximately 8.6 feet.

Explanation:

To calculate the distance from the building to the base of the ladder, we have to use the trigonometric function cosine given the information in the problem. The cosine of an angle in a right triangle is defined as the adjacent (which is the distance we wish to find) over the hypotenuse (which is given as 25 feet).

Therefore, we write the equation as follows:

cos(70) = Adjacent/25

To find the 'Adjacent', we rearrange the equation:

Adjacent = 25*cos(70)

When you perform the calculation, you get Approximately 8.6 feet as the distance from the building to the base of the ladder.

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Final answer:

The base of the ladder is approximately 8.5 feet from the building. This is determined using trigonometry and the cosine of the ladder's angle of elevation.

Explanation:

This is a trigonometry problem where we have to find the base of the triangle formed by the ladder, the ground, and the distance from the building. The question gives us the length of the ladder (hypotenuse in the right triangle) and the angle of elevation. We can thus use cosine of the angle (base/hypotenuse) to find the base.

We know that Cosine of 70° is equal to the (base / Hypotenuse). And in the present case, the hypotenuse is given to be 25 ft.

Therefore, calculation will be as follow:

Base = Cosine (70°) * Hypotenuse.

Base = Cosine (70°) * 25 ft.

After calculating, this gives a base length of approximately 8.5 feet. So, the base of the ladder is approximately 8.5 feet from the building.

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Anyone know the answer?

Answers

21x - 19 = 3x + 17   |add 19 to both sides
21x = 3x + 36    |substract 3x from both sides
18x = 36     |divide both sides by 18
x = 2

Which number replaces the box to make this a true sentence? 3 × (6 – 2) = (? × 6) – (3 × 2)

Answers

3(6-2) = (?*6) - (3*2)
? would be equal to 3

3

Applying Distribution Law, we multiply 3 with 6 and 2.

So, 3 * ( 6 -2 ) = ( 3* 6 ) - ( 3 * 2)

so, '?' = 3

There are 80 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of yellow marbles.

Color
Blue 6
Red 9
Yellow 5

There are about ___ yellow marbles.

Answers

There are about 20 yellow marbles.

The experimental probability is 5/20, since 5 yellow marbles were drawn out of 20 in the sample.

5/20(80) = 400/20 = 20

The relationship between the monthly fee for Brandon’s phone and the price per minute for long distance is modeled by the linear function f (x) = 0.05x + 3, where x is the number of minutes used for long distance. What is the total bill if Brandon used 20 minutes of his long distance service in a month?

Answers

If you use 0.05x+3 (x equal to the number of minutes) it would be 0.05(20) + 3 = 4. Pretty sure this is correct, but you might want to check it.

the linear function f (x) = 0.05x + 3,

f(x) is the monthly fee and x is the price per minute

Brandon used 20 minutes of his long distance

So x is 20 minutes

We plug in 20 for x

f(x) = 0.05x + 3

f(20) = 0.05(20) + 3 = 4

So total bill is  $4 if Brandon used 20 minutes of his long distance service in a month

Anyone know the answer to this geometry problem?

Answers

Let's talk about the choices
◯  ∠4 and ∠5 . . . . . . . . these are complementary angles whose sum is 90°
◯  ∠7 and ∠9 . . . . . . . . these are vertical angles, equal to each other
◯  ∠2 and ∠3 . . . . . . . . these are supplementary angles that together form a straight line. They are a linear pair.
◯  ∠1 and ∠2 . . . . . . . . these are "adjacent" angles in the quadrilateral that also includes ∠9 and ∠10.

The appropriate choice is ...
  ◉  ∠2 and ∠3

If a circle has a radius of 18 feet what's the closest approximation for circumference

Answers

Well, [tex]C = 2 \pi r[/tex], so that would be [tex]2 \pi 18[/tex] = 113.0973... Round that to 113.1 and there's your answer. Hoped this helped :)

Susan has a rectangular garden that measures 20 feet by 10 feet. what is the least amount of fencing that she needs to buy in order to enclose the garden?

Answers

To find the amount of feet of fencing she will need, you will calculate the perimeter of the rectangle or space.

To find the perimeter you add the links of all sides.

20 feet + 10 feet + 20 feet + 10 feet= 60 feet

Susan will need a minimum of 60 feet of fencing.

When p is divided by 12, the quotient is q with a remainder of 5, where p and q are positive integers. what is the remainder when p is divided by 6?

Answers

p/12 = q+5

p/6=q/2+5/2

The remainder will be 5/2 or 2.5


It would take an hour for plane A to meet plane B which is flying towards it. If the distance between them will be 200 miles after 45 minutes, how far apart are they now?

Answers

Let a = speed of the plane A, and b = speed of plane B.
(Assume that the net effect of the wind is negligible.)
From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.
Hence a + b = 0.75a + 0.75b +200
==> 0.25(a + b) = 200.
==> a + b = 800.
Therefore planes A and B are 800 miles apart now.

Answer:

800 miles apart

Step-by-step explanation:

0.75a+0.75b=200

0.25(a+b)=200

a+b=800 miles apart

Prove and show your work
cos t (sect -cos t)= sin^2 t
sin 0 cot 0= cos 0

Answers

1) Manipulating the Left side
cost · sect - cos²t (Note: sect= 1/cost, cos²t = 1-sin²t)
cost · (1/cost) - (1 - sin²t)
       1            - 1 + sin²t
               0          + sin²t
                             sin²t

2) Manipulating the Left side
sinФ · cotФ (Note: cotФ = cosФ/sinФ)
sinФ · (cosФ/sinФ)
(sinФ · cosФ)/sinФ
cosФ 

explain one of the theorems that you would use to find the zero of higher degree polynomial

Answers

Rational Root Theorem:


If the rational number [tex]x=\frac{b}{c}[/tex] is a zero of a higher degree polynomial:

[tex]P(x)=kx^{n}+...+m[/tex]


where all the coefficients are integers. Then [tex]b[/tex] will be a factor of [tex]m[/tex] and [tex]c[/tex] will be a factor of [tex]k[/tex]


1. Use the rational root theorem to enumerate all possible rational zeroes of the polynomial [tex]P(x)[/tex]


2. Evaluate the polynomial from the first step until you can find a zero. Let’s suppose the zero is [tex]x=r[/tex]. It will be a zero if [tex]P(r)=0[/tex]. Then if this is true, write the polynomial as:

[tex]P(x)=(x-r)Q(x)[/tex]


3. Repeat this process using [tex]Q(x)[/tex] this time rather than [tex]P(x)[/tex]. The process finishes until we reach a second degree polynomial, then solve as it is widely known for a quadratic equation.


your recipe calls for 1/2 a pound of potatoes. You use 1/6 of the bag of potatoes. whats the number of pounds per bag

Answers

I you use 1/6 of the bag for 1/2 a pound then you need to set up a proportion.

1/6 bag / 1 bag = 1/2 pound / x pounds      Cross Multiply
(1/6)*x = 1/2 pounds * 1 bag Divide by 1/6

Remember: in a 4 level fraction, the denominator inverts and multiplies.


x = [tex] {x = }\frac{ \frac{1}{2} }{ \frac{1}{6} } \\ \\ {x =} \frac{1}{2} * \frac{6}{1} \\ \\{x = } \frac{6}{2} = 3 [/tex]

3 pounds <<<< answer

What is the simplified form of the following expression? 10abc^2 sqrt 49a^2b^2c^2


Answers

Answer: [tex]70a^2b^2c^3[/tex] will be the answer.

Explanation:

Since Given expression is [tex]10abc^2\sqrt{49a^2b^2c^2}[/tex]

We can write, [tex]10abc^2\sqrt{49a^2b^2c^2}= 10abc^2\sqrt{7^2a^2b^2c^2}[/tex]

[tex]\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 10abc^2\sqrt{(7abc)^2}[/tex]

[tex]\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 10abc^27abc[/tex]

[tex]\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 10\times7abc^2abc[/tex]

[tex]\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 70abc^2abc[/tex]

[tex]\Rightarrow 10abc^2\sqrt{49a^2b^2c^2}= 70a^2b^2c^3[/tex]

1. The simplified form of the expression [tex]10abc^2[/tex] is simply [tex]10abc^2[/tex] itself.

2. The simplified form of the expression [tex]\sqrt{49a^2b^2c^2}[/tex] is 7abc.

1. Since there are no like terms to combine, and no operations to perform, the expression remains unchanged.

2. The expression [tex]\sqrt{49a^2b^2c^2}[/tex] represents the square root of [tex]49a^2b^2c^2[/tex]. To simplify this, we need to find the square root of each term under the radical.

[tex]\sqrt{49a^2b^2c^2} = \sqrt{49} * \sqrt{a^2} * \sqrt{b^2} * \sqrt{c^2}[/tex]

The square root of 49 is 7, and the square root of any variable raised to the power of 2 is simply the variable itself. So, we have: [tex]\sqrt{49a^2b^2c^2} = 7 * a * b * c[/tex]

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the right rectangular prism will be sliced perpendicular to its base along the dashed line. Select from the drop-down menus to correctly describe the cross section formed by the slice.

Answers

The cross section (slice) would be a rectangle.

A rectangular prism is the shape of a box with 6 rectangular sides. If you slice down perpendicular to the base, you would still have another rectangle.

PLEASE HELP URGENT!!!
The price of the land is $2300 per acre ( 1 acre = 4840) how much does the land cost?

Answers

Two of the three side lengths are given.  To find the area of the triangular piece of land, we'll need to calculate the length of the third side, the side opposite the 100 degree angle.  Use the Law of Cosines for this task.

a^2 = b^2 + c^2 - 2ac*cosA

Here, a^2 = 500^2 + 750^2 - 2(500)(750)cos 100 deg, or

          a^2 = 250000 + 572500 - 750000(-0.1736), or
                 = 692264

Then a = +sqrt(692264) = 832 yds

Use Heron's Formula to find the area of the land.

First, calculate s=(a+b+c)/2:  (500+750+832)/2 = 1041=s

According to Heron's Formula, A = sqrt( s(s-a)(s-b)(s-c) )

Here, A = sqrt( 1041*(1041-500)*(1041-750)*(1041-832) )

I will leave this calculation to you to complete.

Suppose the area of the land is A square yards.  Convert this to acres, using the fact that 1 acre = 4840 yd^2.

In acres, the area is 

          1 acre
A* ---------------- = (A/4840) acres
        4840 yd^2

How much will this cost?  Recall that the unit cost of the land is $2300/acre.

Then the total cost will be:
                             $2300
(A/4840) acres * ------------- = 0.475*A dollars.  (Substitute your value for A)
                              1 acre

Two of the three side lengths are given.  To find the area of the triangular piece of land, we'll need to calculate the length of the third side, the side opposite the 100 degree angle.  Use the Law of Cosines for this task.


a^2 = b^2 + c^2 - 2ac*cosA


Here, a^2 = 500^2 + 750^2 - 2(500)(750)cos 100 deg, or


         a^2 = 250000 + 572500 - 750000(-0.1736), or

                = 692264


Then a = +sqrt(692264) = 832 yds


Use Heron's Formula to find the area of the land.


First, calculate s=(a+b+c)/2:  (500+750+832)/2 = 1041=s


According to Heron's Formula, A = sqrt( s(s-a)(s-b)(s-c) )


Here, A = sqrt( 1041*(1041-500)*(1041-750)*(1041-832) )


I will leave this calculation to you to complete.


Suppose the area of the land is A square yards.  Convert this to acres, using the fact that 1 acre = 4840 yd^2.


In acres, the area is 


         1 acre

A* ---------------- = (A/4840) acres

       4840 yd^2


How much will this cost?  Recall that the unit cost of the land is $2300/acre.


Then the total cost will be:

                            $2300

(A/4840) acres * ------------- = 0.475*A dollars.  (Substitute your value for A)

                             1 acre


1

The radius of the base of a cone is 4 inches. the slant height of the cone is 6 inches. which is closest to the surface area of the cone?

Answers

The answer should be 125.66 inches.

So you know two things, the radius and the slant height.

The formula you are going to use is SA=π•r^2+π•r•L

SA= Surface Area
r = Radius
L= Slant Height

So now you plug the variables into the formula.

[tex]\pi \times {4}^{2} + \pi \times 4 \times 6[/tex]
[tex]\pi \times 16 + \pi \times 24[/tex]
[tex]40 \times \pi = 125.66[/tex]
After just pick the answer closest to this one. And you should get the correct answer. :)

What is the difference for this question?

Answers

removing the parentheses gives
5x^2 + 2x + 11 - 7 - 4x  + 2x^2
= 7x^2 - 2x + 4
For this case we have the following polynomials:
 (5x2 + 2x + 11) - (7 + 4x - 2x2)
 Rewriting we have:
 5x2 + 2x + 11 - 7 - 4x + 2x2
 By grouping terms of the same degree we have:
 x2 (5 + 2) + x (2-4) + (11-7)
 Rewriting:
 7x2 - 2x + 4
 Answer: the difference is
 7x2 - 2x + 4

A flagpole stands on a concrete region, as shown. What is the approximate perimeter of the concrete region? Use 3.14 for π.
Thanks!

Answers

The approximate perimeter is 25.12 feet.

The outer edges of the concrete region form semicircles.  The perimeter of a circle is called the circumference, and is given by the formula
C=πd

Since these are semicircles, the circumference is given by C=1/2πd.

There are 4 of these semicircles, so the total would be
C=4(1/2)πd

The diameter of each one is 4 feet:
C=4(1/2)(3.14)(4) = 25.12

A dilation produces a smaller figure. Which is a possible scale factor?
–2
1/3
1
4

Answers

we know that
if a dilation produces a smaller figure
then
 0< scale factor <1
so
case A) -2------> the scale factor must be a positive number
case B) 1/3----> 0< 1/3 <1---> is a possible scale factor
case C) 1------> this scale factor does not not produce a smaller figure, it produces the same figure
case D) 4----> this scale factor produces a larger figure

the answer is
1/3

Answer:

B

Step-by-step explanation:

Im assuming.

Solve the open sentence.

–2 ≤ n + 4 ≤ 7



A. n ≤ 2 and n ≤ 7


B. n ≥ –6 and n ≤ 3

C. n ≥ 6 and n ≤ –4


D. n ≤ –6 and n ≤ 4

Answers

–2 ≤ n + 4 ≤ 7    |-4

–6 ≤ n ≤ 3

Answer: B. n ≥ –6 and n ≤ 3

which of these is an example of discrete data?
A) distance
B) temperature
C) area of a room
D) pages in a book

Answers

Hello!

Discrete data is numerical but only has a limited number of values

With this the answer is D) pages in a book since you can't have 6.8 pages of a book

Hope this helps!

Find the product.

y 4 · y 6

Answers

Presuming that y4 is y^4 and y6 is y^6, we can assume that y^4 times y^6 is y^10.

Therefore the answer is y^10.

Hope this helps! :)
[tex] y^{4} y*y*y*y[/tex]

[tex]y^6 y*y*y*y*y*y y=10[/tex]

Answer is y=10

Hope it helped you.

-Charlie


The​ U-Drive Rent-A-Truck company plans to spend ​$15 million on 310 new vehicles. Each commercial van will cost ​$35 comma 000 ​, each small truck ​$70 comma 000 ​, and each large truck
​$60 comma 000 . Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they​ buy?

Answers

Let x, y, and z be number of vans, small trucks and large trucks respectively. Therefore,
x+y+z = 310 ----- (1)

But, the company will spend $15 million. Then,
35000x+ 70000y +60000z = 15,000,000
 35x + 70y + 60z = 15000 ---- (2)

Additionally, twice as many van as small trucks will be required. Then,
x = 2y ---- (3).

Substituting for x in (1) and (2);
2y +y +z = 310 => 3y +z =310 ---- (4)
35(2y) + 70y + 60z = 15000 => 70y+70y+60z = 15000 => 140y + 60z = 15000 ---- (5)

Solving (4) and (5)
From (4), z = 310 -3y
Then, using (5)
140y +60(310-3y) = 15000
140y + 18600 - 180y = 15000
-40y = -3600
y = 3600/40= 90
Then, z= 310 -3y = 310 -3(90) = 310 -270 = 40
And, x = 2y = 2(90) = 180

Therefore, the number will be:
Vans (x) = 180
Small trucks (y) = 90
Large  trucks (z) = 40
Final answer:

Set the situation up as a system of linear equations based on the information provided in the problem. Then, solve the system to get the number of each type of vehicle that the company can buy.

Explanation:

To solve this problem, let's set it up as a system of linear equations. This is a mathematics problem involving problem-solving and linear equations.

Let's denote v as the number of vans, s as the number of small trucks, and l as the number of large trucks.

We know that the total money spent should equal $15 million, and we can express this as:

(35,000v) + (70,000s) + (60,000l) = 15,000,000

We also know that the number of vans is twice the number of small trucks, so we can express this as:

v = 2s

We know also that the total number of vehicles is 310, so we have:

"v + s + l = 310"

Solving these three equations will give us the number of vans, small trucks, and large trucks that the company can buy.

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Which of these ordered pairs is a solution to the linear inequality?

Answers

the answer to the question is (0,5)
Other Questions
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