Determine the numerical value of x ​

Determine The Numerical Value Of X

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

OA = OD ( both radii of the circle )

OD = OB + BD = x + 16

OB is at right angles to OB ( line from centre to midpoint of chord is right )

Using Pythagoras' identity in right triangle ABO

OA² = OB² + AB² , that is

(x + 16)² = x² + 24²

x² + 32x + 256 = x² + 576 ( subtract x² from both sides )

32x + 256 = 576 ( subtract 256 from both sides )

32x = 320 ( divide both sides by 32 )

x = 10


Related Questions

Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks for $45.00. The sales tax rate is 8.5%. How much did he pay? and how did you find it?

Answers

Step-by-step explanation:

shirts=3×18=$54socks=$3.99slacks=$45 =total sale =$102.99 sales tax=8.5%÷100=0.085

=0.085×102.99=8.754

total=8.754+102.99

111.744


can some one help me. The first person to get it right gets brainliest

Answers

Answer:

-4.5, 5

Step-by-step explanation:

the first number (-4.5) goes on the x-axis which is the bottom. I goes between the -4 and the -5

The second number (5) goes on the y-axis where it says 5

Urgent!!
Sara sells a new car worth $46,000. She earns a 5% commission based on her sales. How much commission did
Sara earn?

Answers

Answer:

Sara earned a commission of $2,300.

Step-by-step explanation:

To find the answer we will first divide 5 by 100 and we get 0.05.  Now multiply $46,000 by 0.05 and we get $2,300.  Therefore, $2,300 is our answer.

Help me ASAP!!!!!

See pic attached

Answers

Answer:

PQ ≈ 10.6 cm

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)

PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]

     = [tex]\sqrt{(-8)^2+7^2}[/tex]

     = [tex]\sqrt{64+49}[/tex]

      = [tex]\sqrt{113}[/tex]

      ≈ 10.6 ( to 1 dec. place )

FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED

Answers

Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

What is m∠1? Please help

Answers

Answer:

∠ 1 = 102°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle , then

∠ 1 = 33° + 69° = 102°

Answer:

102

Step-by-step explanation:

exterior angle rule:

an exterior angle of a triangle is equal to the two opposite interior angles

so m1= sum of opposite interior angles (69 and 33)

69+33=102

so m1 = 102

Chloe was given a large box of 36 chocolates for her birthday. If she eats exactly 2 chocolates each day, how many chocolates would Chloe have remaining 8 days after her birthday?

Answers

Answer:

20 chocolates

Step-by-step explanation:

I got 20 chocolates as my answer because I multiplied the 2 chocolates eaten each day by the 8 days. She eats 2 chocolates each day for 8 days. 8x2=16. Then, I took the 36 chocolates and subtracted 16 chocolates eaten to get the answer of how many chocolates are left. 36-16=20. Therefore, Chloe has 20 chocolates.

Chloe has 20 chocolates remaining 8 days after her birthday.

Evaluate this expression: 39 -:- (2 + 1) -- 2 x (4 + 1).

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Do what's in the brackets first

39 ÷ (3)  - 2*(5)

Now do the division and multiplication next.

13 - 10

Finally the subtraction.

3

get this right N I’ll give you brain list!

Answers

Answer:

[tex]y=\frac{1}{4} +x[/tex]

Step-by-step explanation:

use desmos graphing calculator

The volume of a rectangular prism is 12 cubic inches. One of the dimensions of the prism is a fraction. What could the dimensions of the prism be? Give two possible answers.

Answers

Answer:

Step-by-step explanation:

12 = 24 * 1 * 1/2

12 = 36 * 1 * 1/3

These are 2 possible answers.

There are many more.

Anyone wanna fight? 12x76-8(456-98)=

Answers

Answer:

-1952

Step-by-step explanation:

Answer:

1952

Step-by-step explanation:

12 x 76-8(456-98)

912-8 x 358

912-2864

1952

This is for math class. Help me plz. Need this done by today mid-night.

Answers

5.99+.25d+10p+2.99
Mark me brainliest if u can

A (5, 3), B (2, 1), and C (-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?

1. A'(5, -3), B'(2, -1), C'(-2, -4)
2. A'(-5, 3), B'(-2, 1), C'(-2, 4)
3. A'(-5, 3), B'(-2, 1), C'(2, 4)
4. A'(-5, -3), B'(-2, -1), C'(2, -4)

Answers

Answer:

1 is the answer

Step-by-step explanation:

When coordinates are reflected over the x axis, the x coordinates stay the same but the y coordinates becomes either negative, if they were positive, or positive, if they had orginally been negative.

If this doesn't make sense i'l try to rephrase it, hope it helps though :)

Simplify the expression to a polynomial in standard form: (4x-3)(-2x^2-7x-5)

Answers

How to solve your problem

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5)(4x-3)(-2x^{2}-7x-5)(4x−3)(−2x2−7x−5)

Simplify

1

Distribute

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5){\color{#c92786}{(4x-3)(-2x^{2}-7x-5)}}(4x−3)(−2x2−7x−5)

4(−22−7−5)−3(−22−7−5)

2

distribute

4(−22−7−5)−3(−22−7−5)

4x(−2x2−7x−5)−3(−2x2−7x−5){\color{#c92786}{4x(-2x^{2}-7x-5)}}-3(-2x^{2}-7x-5)4x(−2x2−7x−5)−3(−2x2−7x−5)

−83−282−20−3(−22−7−5)

3

−83−282−20−3(−22−7−5)

−8x3−28x2−20x−3(−2x2−7x−5)-8x^{3}-28x^{2}-20x{\color{#c92786}{-3(-2x^{2}-7x-5)}}−8x3−28x2−20x−3(−2x2−7x−5)

−83−282−20+62+21+15

4

Solution

−83−222++15

I know this looks like a lot but its just how you solve your problem.

therefor, your answer is

Solution

−83−222++15

Hope this helps!

Have a great day!

-Hailey

5. If EF = 4x+11, FG = 28, and EG=87, find the value of x, the drawing is not to scale

Answers

i think the answer is 12

Answer:

Step-by-step explanation:

5)

Oh these are tricky ways to see the question in different ways, it's okay that you need help on this b/c it's kinda like a mind puzzle.

so first notice that EG is the total length

87 =  something

next notice that we have two parts   FG and EF

if those are added together we get the total or EG

so add the parts and set the equal to the total

87 = EF + FG

87 = 4x + 11  + 28

now we can solve for x,  recall  solving me  "isolate x"   :P  soo

87-28-11 = 4x

48 = 4x

12 = x  

yay

6)

EG = EF + FG

15 = 3x - 17 + 2x-8

15+17+8 =3x +2x

40 =5x

8 = x

yay

so do you see how to do those now?  :?

WOULD YOU RATHER receive 40% off 15 copies OR 50% of 25 copies?
justify your reasoning with mathematics.

Answers

Answer:

hahaha

Step-by-step explanation:

hahahahahayou dont know d answer hahaha but i know its a secret

Answer:

If 40 percent off 15copies and each copies 100 pounds then it would cost 60 pound per copy times it by 15 = 900 pounds

whereas 50 percent off 25 copies = 50 pounds times 25=1250 so therefore you want 40 percent off 15 copies

Step-by-step explanation:

Solve.
1.5d + 3.25 = 1 + 2.25d

d= (Blank)

Answers

Answer + Explanation:

1.5d + 3.25 = 1 + 2.25d

3.25 = 1 + 0.75d

2.25 = 0.75d

3 = d

What is the slope of the line shown below?
10
A. 6
ОО
(-0,3) 6
B.
10
16
c
D. 6
101

Answers

Answer:

D. 7/3

Explanation:

Y1 - Y2 / X1 - X2

9 - -5 / 6 - 0

9 + 5 / 6

14 / 6

7/3

True ir False: The data is symmetrical. will mark Brainliest if correct (no files or links please)​

Answers

Answer:

False.

Step-by-step explanation:

A symmetrical data plot would look the same on each side. For example, it would look like this:

ed made a large cube by gluing together a number of identical small cubes together

Answers

Answer:

thats cool not realy a question tho can I have brainlest

Step-by-step explanation:

Ed painted 95 faces of a large cube.

What is the Cubic equation?

Cubic equations are polynomials of degree 3. That means the maximum degree of the polynomial is three.

And the standard form of the cubic equation is;

f(x) = ax³ + bx² +cx +d, where a, b, c, and d are constant coefficients a ≠ 0.

Let's assume that the original cube that Ed made had n small cubes along each edge.

Then the total number of small cubes in the large cube is n³.

Let p be the number of faces that Ed painted.

Each small cube has 6 faces, and if a face is painted, it will not be visible after the large cube is assembled.

So the total number of unpainted faces is 6n³ - p.

When Nicole drops the cube, each small cube will be separated from the others, and all painted faces will become visible.  

So the total number of painted faces is equal to p minus the number of small cubes that don't have any painted faces, which is 45.

Therefore, we have a cubic equation:

p - 45 = 6n³ - p.

Simplifying this equation, we get:

2p =6n³ + 45

p = 3n³ + 22.5

We know that p is an integer, so 3n³ + 22.5 must be an integer.

This means that n³ must be a multiple of 2/3.

The smallest integer value of n that satisfies this condition is n = 3.

So Ed made a cube with 3 small cubes along each edge, and he painted:

the value of the cubic equation at 27,

p = 3n³ + 22.5 = 3(27) + 22.5 = 94.5 ≈ 95 faces of the large cube.

Therefore, 95 faces of the large cube.

To learn more about the cubic equation;

brainly.com/question/13730904

#SPJ7

The complete question:

Ed made a large cube by gluing together a number of small identical cubes and then he painted some of the faces of the large cube. His sister Nicole dropped the cube and it broke into the original small cubes. 45 of these small cubes didn't have any painted faces. How many faces of the large cube did Ed paint?

answer only thx thx IMAOSJSJA

Answers

Answer:

5) 48

6) 60

Step-by-step explanation:

help me plzz pleased ​

Answers

Answer:

jeez, one lazy person must you be if you dont have time to finish this xD

answer is 181

Step-by-step explanation:

well first divide the two objects, a triangle, and a rectangle. Now we have no idea what the bottom of the triangle is so lets calculate that. 18 - 2 -5 = 11

so the triangles dimesions are a10, b11.  Now we have to implement the pythagorem theroem since it doesnt give us the side "c". its a simple a^2+b^2=c^2. so side "c" is 14.866. now we can calculate and add everything together. so 18*7=126. and the triangles area is 55. so add 126+55 and viola. you get 181. Im a bit skeptical that i got something  wrong but i hope its all correct. hope this helps!

read and answer this thanks yall so much

Answers

Answer:

Step-by-step explanation:

48

Explain how to simplify the rational expression x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8. (be sure to include the simplified rational expression)

Answers

Answer:

267x2 -8x -8 where

x=- 4± 2√ 538/267

Step-by-step explanation:

x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8

= x2  -89x2 - 16x2 - 163x2  - 2x+ 10 x + 8

= -267x2+8x +8

= 267x2 -8x -8

First the like terms are arranged and then added . All the co efficients of x2 are added and x are added separately.

Using the quadratic equation to find the value of x

a= 267 , b= -8 and c= -8

x= -b±√b²- 4ac/ 2a

x= -8±√64 +8544/534

x= -8±√8608/534

x=-8±√ 2 x 2 x 2 x 2 x 2 x 269/534

x=-8± 4√ 2 x 269/534

x=- 4± 2√ 2 x 269/267

x=- 4± 2√ 538/267

A gym charges $5 per day, plus $2 for each equipment rental. Jamin will pay for one day at the gym and
r equipment rentals. Create an equation that represents the total amount, a dollars, Jamin will pay.
Enter your equation in the space provided. Enter only your equation.

Answers

should be 5+2r=t
t represents total and r represents the rentals

Which of the coordinate points below will fall on a line where the constant of proportionality is 1/4? Select all that apply. A) (4,1) B) (8,12) C) (12,3) D) (20,5) E) (12,6)

Answers

Answer:

A) (4,1)  C) (12,3) D) (20,5)

Step-by-step explanation:

Required

Which has a constant of proportionality of 1/4

To solve this, we make use of:

[tex]y = kx[/tex]

Where k is the constant of proportionality.

Solve for x

[tex]k = y/x[/tex]

Testing the given options

A) (4,1)

[tex]k = y/x[/tex]

[tex]k =1/4[/tex]

B) (8,12)

[tex]k = y/x[/tex]

[tex]k =12/8[/tex]

[tex]k =3/2[/tex]

C) (12,3)

[tex]k = y/x[/tex]

[tex]k = 3/12[/tex]

[tex]k = 1/4[/tex]

D) (20,5)

[tex]k = y/x[/tex]

[tex]k = 5/20[/tex]

[tex]k = 1/4[/tex]

E) (12,6)

[tex]k = y/x[/tex]

[tex]k =6/12[/tex]

[tex]k =1/2[/tex]

Help ASAP please now please don’t comment unnecessary

Answers

Answer:

Hope that helps!!

18.84x

Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance

Answers

Answer:

The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D

D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites

Step-by-step explanation:

From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines

Let 'A' represent one of the airlines and let 'B' represent the other airline

In the statistics hypothesis test we have;

The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes

The standard deviation to access airline A's website, s₁ = 0.8 minutes

The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes

The standard deviation to access airline B's website, s₂ = 1.1 minutes

The t-test is given as follows;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;

[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]

Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.

Help me out it was hard

Answers

The answer is: 2097
It’s the only logical answer

Find the area of the figure below 8 inches, 5 inches

Answers

Answer:

ITS 40

Step-by-step explanation:its 8 because 8x5 is 40:5 10 15 20 25 30 35 40

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