In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __, BC = __ Case 2 : B∈NC, AB = __, BC = __ Case 3 : C∈BN, AB = __, BC = __

Answers

Answer 1

Case 1: N ∈ BC, AB = 32 in and BC = 42 in.

Case 2: B ∈ NC, AB = 22 in and BC = 32 in.

Case 3: C ∈ BN, AB = 42 in and BC = 32 in.

Case 1: N ∈ BC

In this case, consider triangle ABC as a right triangle with right angle at B.

AN = 24 in

BN = 18 in

AC = 40 in

Using the Pythagorean theorem in triangle ABC

AB = √(AC² - AN²)

     = √(40² - 24²)

     = √(1600 - 576)

     = √1024

     = 32 in

or, BC = BN + NC

           = BN + AN

           = 18 + 24

           = 42 in

Therefore, in Case 1: N ∈ BC, AB = 32 in and BC = 42 in.

Case 2: B ∈ NC

In this case, consider triangle ABC as a right triangle with right angle at C.

AN = 24 in

BN = 18 in

AC = 40 in

Using the Pythagorean theorem in triangle ABC, we can find the lengths of AB and BC:

AB = √(AC² - AN²)

     = √(40² - 24²)

     = √(1600 - 576)

     = √1024

     = 32 in

or, BC = AC - BC

           = 40 - BN

           = 40 - 18

           = 22 in

Therefore, in Case 2: B ∈ NC, AB = 22 in and BC = 32 in.

Case 3: C ∈ BN

In this case, we can consider triangle ABC as a right triangle with right angle at A. We have the following information:

AN = 24 in

BN = 18 in

AC = 40 in

Using the Pythagorean theorem in triangle ABC,

AB = AN + NC

     = AN + BN

     = 24 + 18

     = 42 in

Therefore, in Case 3: C ∈ BN, AB = 42 in and BC = 32 in.

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Related Questions


HELP PLEASE ! if right will mark as brainliest !

What are the real solutions to the equation 4x^3 - x^2 - 4x + 1 = 0?

A) x= -1, 1/4, 1
B) x= -1, -1/4, 1
C) x= -1,1
D) x= -1, 0, 1/4

Answers

Answer:

b

Step-by-step explanation:

so pay attentyion t the numbners

a triangle with angels 120 degrees and 48 degrees, what is x

Answers

Answer:

12

Step-by-step explanation:

All of the angles in a triangle will sum up to 180. So, if you are given 2 of the angles you can find the missing angle, x, using an algebraic equation. Set up the equation 180-(120+45)=x and solve. This equals 12=x.

which one would it be? i need it quickly if possible

Answers

Answer:

Your answer for the question is 38

I think the answer is 38

PLEASE HELP

For this set of data, what is the interquartile range?
24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23

a. 4.5
b. 3
c. 4
d. 2.5

Answers

Answer:

b

Step-by-step explanation:

hope this helped

:))))))

The Interquartile range for the given data is 4.

What is Interquartile Range?

The interquartile range is a measure of where the “middle fifty” is in a data set. Where a range is a measure of where the beginning and end are in a set, an interquartile range is a measure of where the bulk of the values lie.

Here,

Given data: 23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37

First Quartile Q₁ = (n-1)/4 th term

                      Q₁ = (12-1)/4 th term

                      Q₁ = 11/4 th term

                      Q₁ = 2.75 th term

                      Q₁ = 26

Third Quartile Q₃ = 3(n-1)/4 th term

                        Q₃ = 3 X 11 / 4

                        Q₃ = 8.25th term

                        Q₃ = 8th term + 0.25 (9th term - 8th term)

                        Q₃ = 30 + 0.25 (30 -30 )

                        Q₃ = 30 + 0

                         Q₃ = 30

Interquartile range = (Q₃ - Q₁ ) = (30 - 26)

                                 = 4

Thus, the interquartile range = 4.

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(C) Find the arithmetic mean of given data
12, 10, 15, 14, 16, 25, 18, 22​

Answers

Answer: Mean- 16.5

Step-by-step explanation:

Which of the following topics is the Broadest?
Kyrie Irving's trade request
The movement of free-agent players
The NBA draft

Answers

Answer:

Step-by-step explanation:

its nba and kyrie

Answer:

nba aND KYRIE

Step-by-step explanation:

A woman shoots her husband, then holds him underwater for five minutes. Next, she hangs him. Right after, they enjoy a lovely dinner. Explain.

Answers

Answer:

She took a photo of him and developed it in the dark room.

Step-by-step explanation:

Answer:

The woman is obviously bats%!t insane.

Step-by-step explanation:

What else is there to say..

What is P(not odd) Write your answer as a fraction or whole number?

Answers

Answer:

try be specific when you're setting your question you get there you don't expect answers to questions that are not clarified thank you

The length of the arc of semi circle is 15 cm calculate the area of the semi circle ?

Answers

Answer:

The area of the semi-circle is 35.8 cm².

Step-by-step explanation:

The length of the arc is given by:

[tex] s = r\theta [/tex]   (1)

Where:

s: is the length of the arc of semi-circle = 15 cm

r: is the radius

θ: is the angle in radians    

Since we need to calculate the area of the semi-circle, the angle is:

[tex] \theta = \frac{360}{2} = 180 = \pi [/tex]  

From equation (1) we can find the radius:

[tex] r = \frac{s}{\theta} = \frac{15}{\pi} [/tex]    

Now, the area of the semi-circle is:              

[tex] A = \frac{\pi r^{2}}{2} = \frac{\pi (\frac{15}{\pi})^{2}}{2} = 35.8 cm^{2} [/tex]

Therefore, the area of the semi-circle is 35.8 cm².

I hope it helps you!                          

What is the mode?
75 77
80
75
80 81
77
75 81


Answers

Answer:

The mode is 75

Step-by-step explanation:

75

Hope this helped you !

Which of the following is the equation of a parabola with the focus at (0, 3/4) and the directrix y = -3/4?​

Answers

Answer:

do you have the picture I actually understand it if I see it in pictures .

Which equation describes the inverse of f(x) = 7x + 8?

Answers

Answer:

y = 1/7x - 8/7

Step-by-step explanation:

y = 7x+8

x=7y+8

x-8 = 7y

1/7x-8/7 = y

The inverse of the given function f(x) = 7x + 8 is equal to

g(x) = [x - 8] / 7.

What is a Function?

A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

We are given a function f(x) and we have to find its inverse.

For finding the inverse of a function, we need to express x in terms of f(x).

7x + 8 = f(x)

7x = f(x) - 8

x = [f(x) - 8] / 7

Let's assume the inverse of f(x) is g(x).

g(x) = [x - 8] / 7

The inverse of the given function f(x) = 7x + 8 is equal to g(x) = [x - 8] / 7.

Hence, The inverse of the given function f(x) = 7x + 8 is equal to

g(x) = [x - 8] / 7.

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Wel and George each have a packet of 20 seeds. They are planting seeds in different rows of a garden. Each row is 10 yards long. Wel plants a seed every 4 feet, starting 4 feet from the end of her row. George plants a seed every 2 yards, starting 2 yards from the end of his row. What is the greatest number of full rows that each person can plant using just their packet of seeds? Enter the answers in the boxes. Wei can plant full rows. George can plant full rows.​

Answers

Answer:

a) Wel can plant four full roes

b) George can plant five full rows

Step-by-step explanation:

The number of seeds in the packet of seeds Wel and George have, n = 20 seeds each

The length of each row of the garden = 10 yards = 30 feet

The distance between the seeds Wel plants, d = 4 feet

The point at which Wel starts to plant the seeds = 4 feet from the end of the row

The distance between the seeds George plants = 2 yards

The point George starts to plant the seeds = 2 yards from the ends his row

Therefore, we have;

a) The length of each row Wel plants her seeds, l = 10 yd. - 4 ft. = 26 ft.

The number of seeds she plants per row = The whole number part of l/d

l/d =  26 ft./(4 ft./seed) = 6.5 seeds

∴ The number of seeds she plants per row, s = 6 seeds

The number of rows Wels plants her seeds, r = The next whole number of the ratio,  n/s =

n/s = 20/6 = 3.[tex]\overline 3[/tex]

∴ The number of rows Wels plants 4 full rows

Therefore;

Using just her packet of seeds, Wels can plant four rows in the garden

b) The length of each row George plants his seed = 10 yd. - 2 yd. = 8 yd.

The number of seeds he plants per row = 8 yd./row/(2 yd./seed) = 4 seeds/row

The number of rows he plants his seeds = 20 seeds/(4 seeds/row) = 5 rows

The number pf rows George plants his seeds = 5 rows

Using just his packet of seeds, George can plant 5 full rows

For which distributions is the Median the best measure of center

Answers

Answer: The first graph demonstrates the best measure of center!

P.s if you feel this answer is satisfactory please mark it brainiest. I need it for my rank.

please help me with this question ​

Answers

Answer:

-3x^2+16x+64

Step-by-step explanation:

First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.

(x+8)(x+8)=x^2+16x+64

The total area is x^2+16x+64

(2x)(2x)=4x^2

The area of the unshaded part is 4x^2

Now we have to subtract to find the area of the shaded part.

x^2+16x+64-4x^2

-3x^2+16x+64

That is the answer

Hope this helped!! :D

Someone help me with this pleaseeee!!!! I need help ASAP pleasee!!!

Answers

Answer:

192 cm^3

Step-by-step explanation:

base area = side^2 = 8^2 = 64 cm^2

V = (base area x height)/3 = (64 x 9)/3 = 192 cm^3

What is 8
? Move the numbers to the boxes to show the answer. If there is no whole number, put a 0 in the first box.
0
0 1 2
3
4 5 6 7 8 9 10
11 12 13
14
15

Answers

Answer:

The picture added is the answer

The value of 8 3/5 + 4 4/5 is 13 2/5 .

What are whole numbers?

The Whole Numbers are defined as a set of positive integers, including zero, which do not have a fractional or decimal component.  

W : {0,1,2,3,4,5,6,7,8,9 .....}

Given,

8 3/5 + 4 4/5

Simplify them into simple fractions .

So,

=43/5 + 24/5

=67/5

=13 2/5

Hence the value of  8 3/5 + 4 4/5 is 67/5 in simple fraction and 13 2/5 in mixed fraction .

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What geometric figure is the union of two non-collinear rays AB and AC? AC?
a. angle BAC
b. triangle ABC
c. arrow going both ways AB
d. arrow going both ways BC ​

Answers

Answer:

angle bac is the answer

Step-by-step explanation:

both rays emanate from the shared point 'a', which will be the vertex of angle bac

Which pair of numbers has a LCM of 21.

Answers

Answer: 3 and 7

Step-by-step explanation: 3 and 7 because they don't go into anything less than 21, so multiply them together, and you'll get 21

Answer:

qwertzuiopsadfghjkly

What is the probability that the block he pulls out will be yellow?
A. 1/4
B. 1/3
C. 3/1
D. 4/1​

Answers

Answer:

The probability that he will pull out a yellow block it 1/4.

Step-by-step explanation:

There are 4 blocks in the bag, each a different color. Since there is only one yellow out of 4 different blocks, the fraction would be 1/4.

Hope this helps!

What is Limit of StartFraction x cubed minus 1 Over x minus 1 EndFraction as x approaches 1? 0 1 3 DNE

Answers

Answer:

D.

(DNE)

Step-by-step explanation:

when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.

The limit of the function f(x)=[tex]x^{3}-1[/tex]/x-1 as x approaches 1 is 3.

What is limit?

Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.

How to find limit?

We have been given a function f(x)=[tex]x^{3}-1[/tex]/x-1 and we have to find the limit of function.

F(x)=[tex]x^{3} -1[/tex] /(x-1) [[tex]x^{3} -y^{3} =x^{2} +y^{2} +xy[/tex]]

[tex]\lim_{x \to \0}x^{3}-1/x-1[/tex]

[tex]\lim_{x \to \0} (x-1)(x^{2} +1+x)[/tex]/x-1

[tex]\lim_{x \to \0} x^{2} +x+1[/tex]

change limit by putting x=1-h

[tex]\lim_{h \to \0} (1-h)^{2} +1+1-h[/tex]

Put the value of h=0.

=1+1+1

=3

Hence the limit of the function [tex]x^{3}-1/x-1[/tex] is 3.

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What is the length of AC ?

Answers

Answer:

there is no enough data to find the answer

what is the probability that dante rolls an odd number on a die then spins less than 4 on a spinner with 8 spots?

Answers

Answer:

4 if you are subtracting, 32 if you are multiplying, 12 if you are adding, and 2 if you are dividing.

Step-by-step explanation:

Hope this helps.

Can someone help me please??

It’d be greatly appreciated!

Answers

The shape is a square, therefore, all sides are equal.
The edge of the circle touches the edge of the square, and thus, one side of the square can be considered to be the same length as the diameter of the circle.
The formula for circumference is :

2"pie"r

Perimeter = 40ft.
Therefore each side = 10ft.

Therefore diameter = 10ft.

Therefore radius = d/2 = 10/2 = 5 ft.

Therefore circumference = 2"pie"5 ft = 10"pie" ft
(don't forget the unit of measurement!)

Hope this helped ~

Given m||n, find the value of x.

(7%-10)
(6X-5)

Answers

15 degrees

7x-10+6x-5=180

13x=180

x=15

Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer: 21.5cm³

Step-by-step explanation: This is your answer there is no way it is incorrect

i need help pls and thxs

Answers

Answer:

Step-by-step explanation:

132 degrees

132° because a circle is 360°

solve for 30 points
A math teacher asks Nico and Katya to solve the following word problem.

A car travels 98 miles in 1.7 hours on a freeway where the speed limit is 55 mph.

Was the car speeding?

Nico and Katya both agree that they should use their calculators to divide the miles by the hours to find the speed of the car, and then compare the answer to 55 mph. However, Nico says it's okay to round what his calculator says to the nearest whole number. Katya says that because the calculator displays eight numbers after the decimal point, they shouldn't round. She says they should write down exactly what the calculator shows.

Do you agree with Nico or with Katya?

In a short paragraph, explain who you agree with and provide the reasons why.

Answers

Answer:

Yes, the car was speeding. I agree with Nico.

Step-by-step explanation:

When you divide 98 miles by 1.7 hours, the answer is 57.6470588. I agree with Nico because it is okay to round because no matter what, the number before the decimal number (57) will always be a greater number than 55. It is easier to round the number for the equation, so Nico is correct in this situation.

Hope this was helpful!! Mark brainliest if so!!!

Have a fantabulous day!!

What is the solution of the quadratic equation.
Equation: 2x + 7x - 5= 10

Answers

Step-by-step explanation:

2x+7x-5=10

2x+7x= 10+5= 15

2x ×9=15

2x =15-9=5

x=5/2=2.5

hope it helped

x2 + 3x + 1 = 0
what are the 2 values for x ?

Answers

Answer:

x=-0.38 or -2.62

Step-by-step explanation:

x²+3x-1=0

using the general formula...

-b±√b²-4ac/2a

a=1

b=3

c=1

-3±√3²-4(1×1)/2×1

-3±√9-4/2

-3±√5/2

-3+√5/2 or -3-√5/2

-0.38 or -2.62

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