chord is 10cm from the centre of circle of radius 12cm calculate the length of the chord ​

Answer:

True

Step-by-step explanation:

A polynomial is a combination of terms separated by  +  or −  signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Answer:

True

Step-by-step explanation:

Factoring is adding and multiplying, so basically you add -12 and 9 to get 4, at least thats how I got it. Hope this helps!

Answer:

-3x^2+17x-1

Step-by-step explanation:

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

D. square

Step-by-step explanation:

The reason why it going to be square is because, of the picture below:

It's perfectly the same on all sides so it can't be a rectangle and it is not a diamond shape for rhombus, it also can't be a parallelogram because, parallelograms don't have the same shape as a square as seen below. Therefore, your only possible answer would be D. square

Answer:

\(=\sqrt[10]{y}\)

So option c is the correct answer

Step-by-step explanation:

\(\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:rule}\:1^a=1\\1^{\frac{-1}{5}}=1\\=\frac{1}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\)

\(=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}\)

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

Answer:

The required Probability =0.433

Step-by-step explanation:

number of residents who has master degree =2078

number of residents who has master degree and age group 30-49years= 455+ 445=900

900/2078

=450/1039

=0.43310

The number line that shows the solution to the inequality is given as follows:

First number line.

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

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The number line that shows the solution to the inequality is: C. graph C.

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

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The value of k that satisfies the given condition is approximately 0.4041.

In the expansion of (1+kx)⁵, the coefficient of x⁵ is given by the term:

C(5,k) * (kx)⁵ = k⁵ * C(5,k) * x⁵

where C(5,k) is the binomial coefficient or the number of ways to choose 5 items out of k.

So, we have the equation:

k⁵ * C(5,k) = -672

We can use a table of binomial coefficients to find C(5,k) for different values of k, but this can be time-consuming. Alternatively, we can use the fact that C(5,k) = C(5,5-k) and rewrite the equation as:

k⁵ * C(5,5-k) = -672

Expanding C(5,5-k), we get:

k⁵ * C(5,5-k) = k⁵ * C(5,k) = -672

Now, we can use trial and error to solve for k. Using this method, we can find that k = -4 or k ≈ 0.4041. However, since k must be positive (since it appears as a factor in the expansion), the only valid solution is k ≈ 0.4041.

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Answer:

I believe it is 200. Forgive me if its wrong-

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

7-3x=x-4(2+x)

7-3x=x-8-4x

7-3x-x=-8-4x

7-4x=-8-4x

-4x+4x=-8-7

0 =-15

=-15/0

=0

The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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we know that

the equation of the circle in center radius form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center and r is the radius

so

Verify each circle

Part 1

purple circle

The first circle has a radius of 6 units

r=6 units

center (2,-1)

the equation is

(x-2)^2+(y+1)^2=6^2

Part 2

red circle

r=3 units

center (-1,-3)

so

(x+1)^2+(y+3)^2=3^2

Part 3

blue circle

r=3 units

center (1,3)

so

(x-1)^2+(y-3)^2=3^2

Part 4

green circle

r=2 units

center(2,-3)

so

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

statement reason

AB = BC, D is midpoint AC given

DB = BD common side to triangles ADB and CDB

Answer:

-12≤x<1

Step-by-step explanation:minus both side by 4

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

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Answer:

i think the correct answer is D

have a nice day! (^o^)

Answer:

|4 - 7| = 3

|4| - 7 = -3

Step-by-step explanation:

Absolute values are just the distance from zero. If a number is negative, then it becomes positive, and if a number is positive it stays positive, since distance is positive.

We first evaluate the stuff inside the absolute value. So |4 - 7| = |-3| = 3

For |4| - 7, we already have one value in the absolute value.... which is 4 and the absolute value of that is 4, so we get 4 - 7 = -3

Answer:

Step-by-step explanation:

1) Value of |4 - 7| is?

→ |4 - 7|

→ |-3| = 3

Thus, the answer is 3.

2) Value of |4| - 7 is?

→ |4| - 7

→ 4 - 7 = -3

Thus, the answer is -3.

Answer:

28.54 ft²

Step-by-step explanation:

Area of segment = \( (\frac{\theta * \pi}{360} - \frac{sin(\theta)}{2}) * r^2 \)

Where,

\( \theta = 90 \)

r = 10 ft

Plug in the values

\( (\frac{90 * \pi}{360} - \frac{sin(90)}{2}) * 10^2 \)

\( (0.7854 - 0.5) * 100 \)

\( (0.2854) * 100 \)

= 28.54 ft²

Answer:  1\(\frac{1}{4}\)

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

9514 1404 393

Answer:

Step-by-step explanation:

The equation is an expression of the fact that the sum of the angles in a triangle is 180°.

  (2x -10)° +x° +(x +10)° = 180°

For the purposes of the answer box, I'd leave off the degree symbol:

  (2x -10) +x +(x +10) = 180

__

This simplifies to ...

  4x = 180

  x = 45

Then the angles (CW from top) are ...

  (2·45 -10) = 80°

  (45 +10)° = 55°

  (45)° = 45°

Answer:

6.7

Step-by-step explanation:

10% of 30000

10/100 x 30000

0.10 x 30000

=3000

In order to find how long you have to divide 20k with 3k

20000/3000 = 6.66666667

Round it up and you get 6.7

We have proved that the ray FE is parallel to the ray GC.

What is meant by parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.

Angle DEF intersects at B

which results in angle DEF corresponding to the angle  ACG.

As DEF = 45 so angle ACG = 45

So by the above discussion, we can say that the ray FE is parallel to the ray GC.

Hence, we have proved that the ray FE is parallel to the ray GC.

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The output value of h(-7) in the function h(x) = 2x² - 7x + 4 is 151.

A function is simply a relationship that maps one input to one output.

Given the function in the question

h(x) = 2x² - 7x + 4,

Find h(-7)

To find h(-7), we substitute -7 for x in the equation of h(x) and simplify:

h(x) = 2x² - 7x + 4

Plug in x = -7

h(-7) = 2(-7)² - 7(-7) + 4

h(-7) = 2(49) + 49 + 4

h(-7) = 98 + 49 + 4

h(-7) = 151

Therefore,the output value of h(-7) is equal to 151.

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The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

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To be able to determine the answer to this question, we must simplify each choice and see whether they end up with 18x - 6.

We get,

A.) 16.4x - 6 + 1.6x

B.) 2(9x - 3)

C.) 3(9x - 2)

D.) 12x - 6 - 6x

E.) 6(3x - 1)

Therefore, the answer is A, B and E