What is the length of line segment ABin the triangle shown below?
B=8 inches
A=17 inches


What Is The Length Of Line Segment ABin The Triangle Shown Below?B=8 InchesA=17 Inches

Answers

Answer 1
Answer: 15inches

Step-by-step explanation:

For this triangle,we can use Pythagoras' theoremThe state is that : a²+b²=c²In this figure,notice that a shorter side needs to be found,so after writing the Pythagoras formula in the usual way,the formula has to be rearranged to make x²  the subject                            a²+b²=c²                            8²+x²=17²                            64+x²=289                            x² = 289- 64                            x² = 225                            x = √225 =15inches

Related Questions

Which expression is equal to StartAbsoluteValue negative 12 EndAbsoluteValue minus StartAbsoluteValue Negative 3 EndAbsoluteValue? –15 –9 9 15

Answers

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

Answer:

The answer is C

Step-by-step explanation:

hope it helps

Find the circumference of the circle with the given radius or diameter. (Use 3.14 for it) r=20

Answers

Answer:

C = 2πr = 2 * 3.14 * 20 = 125.6

Answer:

[tex]\huge\boxed{C\approx125.6}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=d\pi=2\pi r[/tex]

d - diameter

r - radius

We have the radius r = 20.

Substitute:

[tex]C=2\pi(20)=40\pi[/tex]

use π ≈ 3.14

[tex]C\approx(40)(3.14)=125.6[/tex]

Small library contains 700 novels. how many ways can You check out three novels

Answers

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

The third book can be any one of the remining 698.

The total number of ways to gather three books from the shelves into your hands is  (700 · 699 · 698)  =  341,531,400 ways .

BUT ...

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves.  You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

So, even though there are 341,531,400 ways to gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.

The number of kilometers traveled by a bus is represented by x. If a train traveled 200 kilometers farther than the bus, represent the number of kilometers traveled by the train.

Answers

Answer:

The train travelled x + 200 km

Answer:

The number of kilometres traveled by the bus is x kilometres. The train travels 200 kilometres farther than the bus, meaning that the train traveled x kilometres, and an additional 200 kilometres.

So, the number of kilometres traveled by the train would be the x km traveled by bus, plus 200 km; or x + 200 km.

Hope this helps!

Function of a Function

Answers

Answer:

B. 8

Step-by-step explanation:

Step 1: Find g(-2)

g(-2) = (-2)² + 1

g(-2) = 4 + 1

g(-2) = 5

Step 2: Find f(5)

f(5) = 2(5) - 2

f(5) = 10 - 2

f(5) = 8

Please answer it now in two minutes

Answers

Answer:

47

Step-by-step explanation:

It's just aligning each number / line to each matching one.

Answer:

47 degrees

Step-by-step explanation:

The angle that matches the angle U is angle C

The measure of angle U is 47 degrees

Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable.

Answers

Complete question:

Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?

Answer:

Here,

Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)

We are also told only 10 participants are available.

All 10 participants are being exposed to all five levels of the color variable in the same order.

Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.

Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.

But using counterbalancing technique, Dr. Lyte can avoid such an error.

I need assistance can I get help

Answers

The answer to this is 5x-8

Answer:

5x-8

Step-by-step explanation:

What’s are the answers for both?

Answers

Answer:

d = 8g = 2

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

Solve for x, given a=117. Round your answer to one decimal place.

Answers

Answer:

x = 63

Step-by-step explanation:

We can find the value of x by multiplying the difference of large arc to small arc with 1/2

if a = 117° then the large arc would be 243

1/2 × (243 - 117) = 63

sketch the graph for the following quadratic function.
[tex] - x ^{2} + 4x + 12[/tex]​
it's ok if it's wrong.i just wanna see how the work done to do this

Answers

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

[tex]-x^{2} +4x+12[/tex]

Let us rewrite by letting it equal to [tex]y[/tex].

[tex]y=-x^{2} +4x+12[/tex]

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

[tex]y=ax^{2} +bx+c[/tex]

we get:

[tex]a = -1\\b = 4\\c = 12[/tex]

Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

[tex]x = -\dfrac{b}{2a}[/tex]

[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

To Finance a Vacation in 4 years, Margo saves $530 at the begenning of the every month in an account paying interest at 3.9% compounded quarterly a. What will be the balance in her ac To Finance a Vacation in 4 years, Margo saves $530 at the begenning of the every month in an account paying interest at 3.9% compounded quarterly a. What will be the balance in her account when he takes the vacation? [4 marks] b. How much of the balance will be an interest? [2 marks] c. If she waits an additional year to start her vacation, continues to save the same amount of money, how much more money does she have to spend count when he takes the vacation? [4 marks] b. How much of the balance will be an interest? [2 marks] c. If she waits an additional year to start her vacation, continues to save the same amount of money, how much more money does she have to spend

Answers

i got this question too as my homework it so hard ill let you know if i find out the answer.

How many kilobytes have been downloaded so far?

Answers

Answer:

Do you have a photo or some other information to go with this?

Step-by-step explanation:

A rectangular octagon is shown in the ceiling of a cathedral. The radius is 10.5 feet and the perimeter is 64 feet. The regular octagon in the ceiling of this cathedral has a radius of 10.5 feet and a perimeter of 64 feet. What is the length of the apothem of the octagon? Round your answer to the nearest tenth of a foot. feet Using your answer for the length of the apothem, what is the area of the regular octagon? Round your answer to the nearest tenth of a square foot. square feet

Answers

Answer:

9.7 , 310.4

Step-by-step explanation:

length of each side = 64/8=8

using theorem Pythagoras

A²=10.5² – (8/2)²

A=9.7 ft

area of triangle

1/2×8×9.7=38.8

area of octagon

38.8×8=310.4

The Length of the octagon  is 9.7 and the area of octagon is 310.4.

Length and  area of octagon

Length of octagon

Length of each side = 64/8

Length of each side =8

Pythagoras theorems

A²=√10.5² – (8/2)²

A²=√110.25 – 16

A²=√94.25

A=9.7 ft

Area of octagon

Area of triangle=1/2×8×9.7

Area of triangle=38.8

Area of octagon=38.8×8

Area of octagon=310.4

Therefore the Length of the octagon  is 9.7 and the area of octagon is 310.4.

Learn more about Length and  area of octagon here:https://brainly.com/question/358118

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Lori is making 3 mugs of hot chocolate. Each mug holds 1/2 a pint. ​ How many cups of hot chocolate does Lori pour?

Answers

Answer:

3  CUPS pints

Step-by-step explanation:

Multiple to get it by doing this (1/2) US pint x 3 = 1.5 US pints *2= 3 cups

3 cups a pint lori poured

EZ car rental charges $40 a day plus $0.25 per mile. Ace Rent-A-Car charges, $25 a day plus $0.45 per mile. What number of miles result in the same cost for one day?

Answers

The answer is 75 miles

Question 11 PLEASE HELP find the slope of the line that passes through the points (6,2) and (8,8)

Answers

Answer:

Hey there!

We have the equation: y2-y1/x2-x1.

So, we have: 8-2/8-6.

6/2, or 3.

Hope this helps!

a private opinion poll is conA private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. How large a sample is needed to be 92% confident that the sample proportion will not differ from the true proportion by more than 2% ducted for a politician to determine

Answers

Answer: 1,914

Step-by-step explanation:

first we take down the information given to us

For 92% confidence, z = 1.75

Error of margin  E = 2% = 0.02

Since no estimate of population proportion has been given, we will assume:

p = q = 0.50

Hence,  

Sample size required n

n = ( z/E)² × p × q

n = ( 1.75/0.02)² × 0.5 × 0.5

n = (87.5)² × 0.5 ×0.5

n =  1914

What is the value of x?

Answers

Answer:

x=12

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) =  (segment piece) x (segment piece)

10 * x =  ( 3+x) *8

10x = 24+8x

Subtract 8x

10x-8x = 24+8x-8x

2x= 24

Divide by 2

2x/2 =24/2

x = 12

PLZ HELP QUICK............

Answers

Answer:

[tex]4^m[/tex]

Step-by-step explanation:

When you exponent an exponent, you multiply the powers together.

When you divide exponents, you subtract the powers.

Step 1: Convert to same base

log₄64 = 3

Step 2: Rewrite equation

[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]

Step 3: Simplify

[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]

Step 4: Simplify

[tex]4^m[/tex]

The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9

Answers

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

a regular pentagon-based pyramid has 5 faces which are equilateral triangles the perimeter of it's net is 70cm what is the perimeter of the base?

Answers

Answer:

35cm

Step-by-step explanation:

The net of a regular pentagon has 10 sides.

Since each of the faces are equilateral triangles, the side lengths are equal.

Therefore:

Length of each side of the net = 70/10 =7cm

Therefore, the base is a regular pentagon of side length 7cm.

The perimeter of the base of the pyramid = 5 X 7

=35cm

The perimeter of the base of the pyramid is 35cm.

What does the graph of f(x)=3x^2-2x+1 look like

Answers

Answer:

Below.

Step-by-step explanation:

This is a parabola.

As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').

If we convert to vertex form we can find the line of symmetry  and the coordinates of the vertex:

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

f(x) = 3(x^2 - 2/3 x) + 1

f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1

f(x) = 3(x - 1/3)^2 - 1/3 + 1

f(x) = 3(x - 1/3)^2 + 2/3

So the line of symmetry is  x = 1/3 and

the vertex ( the minimum of the curve) is at (1/3, 2/3).

Help please urgently❤️ With atleast some Plz

Answers

Answer:

2. -3, 1.

3. -2, 0.

4. 6, 8.

5. 20.

Step-by-step explanation:

2. x - 3y + 6 = 0

-3y = -x -6

y = 1/3x + 2

y + 4 = -5/4(x - 1)

y + 4 = -5/4x + 5/4

y = -5/4x + 5/4 - 16/4

y = -5/4x - 11/4

If you sketch these two lines on paper (or draw them on a graphing calculator), you will find that they intersect at (-3, 1).

So, the values you enter on the response would be -3, 1.

3. x + 3y = -2

x = -3y - 2

-3x + 5y = 6

-3(-3y - 2) + 5y = 6

9y + 6 + 5y = 6

14y + 6 = 6

14y = 0

y = 0

x + 3 * 0 = -2

x + 0 = -2

x = -2

-3 * -2 + 5 * 0 = 6

Since everything works out, the solution to the two equations is (-2, 0).

So, the values you enter on the response would be -2, 0.

4. 3x - 4y = -14

2x + 5y = 52

2(3x - 4y = -14)

3(2x + 5y = 52)

6x - 8y = -28

6x + 15y = 156

6x + 15y = 156

-6x + 8y = 28

23y = 184

y = 8

3x - 4 * 8 = -14

3x - 32 = -14

3x = 18

x = 6

2 * 6 + 5 * 8 = 12 + 40 = 52

Everything works out, so your solution is (6, 8).

Your answer will be (6, 8).

5. For a system of equations to have no solution, the y's and the x's must have the same coefficients.

5x - Ky - 10 = 0

y = 1/4x + 6

-Ky = -5x + 10

Ky = 5x - 10

1/5Ky = x - 2

1/20Ky = 1/4x - 1/2

1/20K = 1

K = 20

y = 1/4x - 1/2

y = 1/4x + 6

1/4x - 1/2 = 1/4x + 6

1/4x - 1/4x = 6 + 1/2

0 = 6.5

There is no solution, so K = 20.

Hope this helps!!

can someone help i have less than an hour !!

Answers

Answer:

[tex]x \geqslant 4[/tex]

Option D is the correct option.

Explanation:

Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.

Hope this helps...

Good luck on your assignment...

Which of the following equations have exactly one solutions 19x + 18 = -19x +18

Answers

Answer:

there's only one equation listed, and it has one solution, which is 0

Step-by-step explanation:

Answer: There is only one equation here...

Anyway it's ans is 0

Step-by-step explanation:

Feel pleasure to help u

Find the area of the parallelogram. HELP ASAP PLS!! A=192cm^2 A = 273cm^2 A = 208cm^2 A = 252 cm^2

Answers

Answer:208

Step-by-step explanation:

13 x 16 = 208

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PLZ HELP Point C(3.6, -0.4) divides in the ratio 3: 2. If the coordinates of A are (-6, 5), the coordinates of point B are? If point D divides in the ratio 4: 5, the coordinates of point D are?

Answers

Answer:

In this problem, there is multiple choice for every question. The trick is to exclude the answer that unlikely true.

To solve this easier, you need to find the distance of AB first. After that try to match the answer coordinate with the midpoint of AB. 

1.  Answer: Point C(-3.6, -3.4) divides AB in the ratio 2:3

A (-2,-1) and B(-6, -7)The distance between A and B would be:

x= x2-x1 = -6 - (-2)= -4

y= y2-y1 = -7 - (-1)= -6

Since both x and y coordinate of A and B is minus, let's try answer with x and y minus value.

Point C(-3.6, -3.4) divides AB in the ratio 2:3

x3= x1 + AB ratio* AB distance

x3= -2 + (2/2+3)*(-4)= -3.6

y3= y1 + AB ratio* AB distance

y3= -1 + (2/2+3)*(-6)= -1 - 12/5= -3.4

2.  Point C(0, 1) divides AB in the ratio 4:7

A(4,-3) and B(-7,8)

The distance between A and B would be:

x= x2-x1 = -7 - (4)= -11

y= y2-y1 = 8 - (-3)= 11

Since both x and y distance is 11, let's try answer with total ratio 11

Point C(0, 1) divides AB in the ratio 4:7

x3= x1 + AB ratio* AB distance

x3= 4 + (4/4+7)*(-11)= 4- 4=0

y3= y1 + AB ratio* AB distance

y3= -3 + (4/4+7)*(11)= -3 +4= 1

3. Answer: Point C(8, 9) divides AB in the ratio 5:3

A(3,4) and B(11,12)The distance between A and B would be:

x= x2-x1 = 11 - (3)= 8

y= y2-y1 = 12 - (4)= 8

Since both x and y distance is 8, let's try answer with the total ratio 8. Both of x and y also plus, so focus on coordinate with both x and y plus too.

Point C(3.5, -2.5) divides AB in the ratio 1:7-----> total ratio 8,y minus

Point C(-2, 5) divides AB in the ratio 2:6  -----> total ratio 8, x minus

Point C(8, 9) divides AB in the ratio 5:3   -----> total ratio 8, both x and y plus

x3= x1 + AB ratio* AB distance

x3= 3 + (5/5+3)*(8)= 3+ 5=8

y3= y1 + AB ratio* AB distance

y3= 4 + (5/5+3)*(8)= 4 +5= 9

4. Point C(-2, 5) divides AB in the ratio 2:6  

A(-5,2)and B(7, 14)

The distance between A and B would be:

x= x2-x1 = 7 - (-5)= 12

y= y2-y1 = 14 - (2)= 12

Since both x and y distance is 12, it will be hard to use it since 12 has many factors. Both y coordinate is plus, so focus on coordinate with y more than x and plus.

Point C(4, 1.6) divides AB in the ratio 3:2  ----->  x more than y

Point C(-2, 5) divides AB in the ratio 2:6  -------> y plus, y more than xx3= x1 + AB ratio* AB distance

x3= -5 + (2/2+6)*(12)= -5+ 3=-2

y3= y1 + AB ratio* AB distance

y3= 2 + (2/2+6)*(12)= 2 +3= 5

Step-by-step explanation:

Consider the function. f(x)= -2/3x-24 Which conclusions can be drawn about f–1(x)? Select two options. f–1(x) has a slope of -2/3 . f–1(x) has a restricted domain. f–1(x) has a y-intercept of (0, –36). f–1(x) has an x-intercept of (–36, 0). f–1(x) has a range of all real numbers.

Answers

Answer:

(D) [tex]f^{-1}{(x$) has an x-intercept of (-36, 0).[/tex]

(E)[tex]f^{-1}{(x)[/tex] has a range of all real numbers.

Step-by-step explanation:

Given the function: [tex]f(x)= -\dfrac23x-24[/tex]

[tex]f(x)+24= -\dfrac23x\\$Multiply both sides by $ -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36[/tex]

When y=f(x)=0

[tex]f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36[/tex]

Therefore, [tex]f^{-1}(x)$ has a x-intercept of -36[/tex]

Also, [tex]f^{-1}(x)[/tex] has a range of all real numbers.

Therefore, Options D and E are correct.

Answer:

4 and 5

Step-by-step explanation:

EDGE

Eli chooses two shirts from a group of five to pack for a weekend trip. Let each shirt be represented by A, B, C, D, and E. Which statements about the situation are true?

Answers

Answer:

A, B and E statements are true

Step-by-step explanation:

Since in the question, it is mentioned that Eli selected two shirts out of pack 5 for a weekend trip

Classify each shirt as A, B, C, D, and E.

Now we have to go through the options

In the first statement it is mentioned that AB and BA are the similar. This is true as it contains in same bag.

Since Eli select two shirts so the second statement is also correct

And, the last statement is also true as he selects shirt B so there are four possible ways to second the second shirt as there are four remaining shirts are left after select one shirt

Hence, A, B and E statements are true

Answer: A, B, and E.

Step-by-step explanation:

A is correct: the combination of AB and BA are the same because they both contain the same letters, just a different order.

B is correct: each shirt can be paired with any one of the other remaining shirts because she will be choosing 2 shirts.

E is correct: If he chooses shirt B, there are 4 possible outcomes for choosing the 2nd shirt. This is true because there is only one B in a group of 5 shirts, so 5-1 = 4 possible outcomes.

Hope this helped.

Have a nice day. :)

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