Work out length of BC

Work Out Length Of BC

Answers

Answer 1

Answer:

assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]

by phytagorean theorem

[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]

so

[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]

Answer 2

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]

1st let's know what is the given figure is and it's related concepts for solving !

Given Triangle is a right angled triangle It is having 3sides let's know what are the name of these sides 1st AB is know as hypotenuse 2nd AC and is called Base of the triangle 3rd BC whích is know as perpendicular of the triangle Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.

[tex] \rule{70mm}{2.9pt}[/tex]

Writing this theorem mathematically

[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]

★ Here ★

➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm

[tex] \rule{70mm}{2.9pt}[/tex]

✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"

[tex] \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

✝ let's substitute values ✝

[tex]\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ [/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hence length (BC) in the given triangle is of

[tex] { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !


Related Questions

what is 722 divided by 9

Answers

80.2 is the correct answer. Or 80.22222

Answer: Heyaa! ~

772 divided by 9 is... 80.2

Step-by-step explanation:

Lets solve! ~

Reduce the expression if possible by cancelling the common factors.

Hopefully this helps you! ^^

Of 750 people surveyed, 440 were male and 345 had cell phones. Of those with cell phones, 205 were female. What is the probability that a person surveyed was male or had a cell phone?

Answers

before i continue my keyboard is malfunctioning so bear with me

answer:

25/68

Step-by-step explanation:

total number-750

males-440

females-750-440=310

those with Cell -345

females with cell -205

males-345-205=140

male with cell -140/345

=25/68

Answer:

25/68

Step-by-step explanation:

total number=750

Male=440

Female=750-440

=310

People with cell phone= 345

Female with cell phone=205

Male=345-205

=140

Male with cell phone=140/345

=25/68

Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie? two-sevenths two-fifths four-sevenths four-fifths

Answers

Using it's concept, it is found that the probability that the customer also likes pie is of [tex]\frac{2}{7}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that of the 14 students that like cake, 4 also like pie, hence the probability is given by:

p = 4/14 = 2/7.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

it's a i think

Step-by-step explanation:

Which function rule represents the best line of fit for the data in the plot?

Answers

Answer:

f(x) = -1/2x + 8

or

The first one

Step-by-step explanation:

hope this helps

have a good day

Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is expected to grow by 3.5% per year.


The bond Sandy purchased will mature in 10 years. How much interest will she receive semiannually?

How long will it take the fund she invested in to be worth $10,000?

Answers

Answer it 8 years until she invested worth

what is the slope of the line that passes through (4,-9) and
(1,3)?


Answers

Answer:

slope = - 4

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = 1, 3 )

m = [tex]\frac{3-(-9)}{1-4}[/tex] = [tex]\frac{3+9}{-3}[/tex] = [tex]\frac{12}{-3}[/tex] = - 4

Answer:

[tex]m=-4[/tex]; the slope is -4

Step-by-step explanation:

[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]

coordinates: (4,-9) (1,3)

[tex]\frac{3-(-9)}{1-4}=\frac{-12}{-3} =-4[/tex]

= -4 is your answer

hope this helped

~rere

please help meeeeeeeeeeeeeeeeeeeee

Answers

Answer
10) f^9• f^3/ f^4= f^8

Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

Jackie randomly picks some clothes.

What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?

Answers

Answer:

2/9

Step-by-step explanation:

i just took a test with this exact question, and the answer was 2/9

youre welcome future learners ;)

The phythagorean spiral is a spiral composed of right angles triangle. Using the information provided on the spiral calculate p

Answers

The right angle triangle has an angle that is 90° while the other angles makes up 90° too.

What is a right angle triangle?

Your information is incomplete. Therefore, an overview of right angle triangle will be given. It should be noted that a right angle triangle simply means a triangle that has aright angle which is 90°.

The hypothenuse is the longest side in a right angle triangle which is the side facing the 90°.

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please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answers

[tex]\bold{ANSWER:}[/tex]
6.1 kilometers

[tex]\bold{SOLUTION:}[/tex]

What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x−y=1?

Answers

the answer is : y=4x +11

the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?

Answers

Answer:

acute triangle

Step-by-step explanation:

because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle

Answer:

take the two smaller sides, call them a and b. call the longest side c.

if a^2 + b2 = c^2 you have a right triangle

if < c^2 it's acute

if > c^2 it's obtuse

in addition, if you can find a,b,c such that

a=b=c it's equilateral

a=b≠c it's isosceles

a≠b≠c it's scalene

plug in your numbers and make your choice.

Step-by-step explanation:

Which figures can be circumscribed by a circle? Select all that apply.

Answers

Answer:

A, B, C, D

Step-by-step explanation:

They All add up to 360

Answer:

B and D

Step-by-step explanation:

figures which can be circumscribed by a circle are called cyclic quadrilaterals.

the opposite angles of a cyclic quadrilateral sum to 180°

A

∠ B + ∠ D = 82° + 56° = 138° ≠ 180° ← not cyclic

B

∠ B + ∠ D = 103° + 77° = 180° and ∠ A + ∠ C = 90° + 90° = 180° ← cyclic

C

∠ B + ∠ D = 112° + 90° = 202° ≠ 180° ← not cyclic

D

∠ B + ∠ D = 90° + 90° = 180° and ∠ A + ∠ C = 90° + 90° = 180°← cyclic

Then B and D can be circumscribed by a circle


What is the range of the data set?

Answers

Answer:

In statistics, the range is the spread of your data from the lowest to the highest value in the distribution.

Step-by-step explanation:

Answer:

The range of a set of data is the difference between the highest and lowest values in the set.

What fraction is 380 lb of 400 lb?

Answers

Answer:

19/20

Step-by-step explanation:

380÷ 20= 19

400÷20= 20

y = -6x+2
-12x-2y = -4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1,-4)
Ono solution
O infinite number of solutions

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

Given equations:

y = -6x+2-12x - 2y = -4

Rearrange the second equation to make y the subject:

⇒ -12x - 2y = -4

⇒ -12x - 2y + 2y = -4 + 2y

⇒ -12x = -4 + 2y

⇒ -12x + 4 = -4 + 2y + 4

⇒ -12x + 4 = 2y

⇒ (-12x + 4) ÷ 2 = 2y ÷ 2

⇒ y = -6x + 2

Comparing the rearranged equation with the first equation, we can see that both equations are the same.  

Therefore, as there is only one line, there are an infinite number of solutions.

What multiplies to 14 and adds to 15​

Answers

given:

14 and 15

to find:

which number multiplies to 14 and add up to 15.

solution:

[tex]1 + 14 = 15[/tex]

[tex]1 \times 14 = 14[/tex]

[tex] = 1[/tex]

therefore, the number which multiplies to 14 and add up to 15 is 1

= 1

because,

14×1 = 14

14+1= 15

14. A store was selling packs of paper for $1.82 a pack. Rosa spent $12.74 on the
packs of paper.
a. Write an equation to find the number of packs of paper, p. Rosa bought.

Answers

Answer:

she bought 7 packs of paper

Step-by-step explanation:

12.74/p = 7

Which are differences of perfect cubes? select two options. 9a3- 27 125a12 - 72 216a6 - 27y3 8a15 - 27 225a3 - 216

Answers

The expressions that are differences of perfect cubes from the options given are:

c. 216a⁶ - 27y³

d. 8a¹⁵ - 27

What is a Perfect Cube?

A perfect cube can be described as a number that is gotten when an integer is multiplied by itself three times.

216a⁶ - 27y³ is a difference of perfect cubes because: (6a²)³ - (3y)³.

So also is the expression, 8a¹⁵ - 27.

The difference of perfect cubes are:

c. 216a⁶ - 27y³

d. 8a¹⁵ - 27

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Answer:

C 216a6 - 27y3

D 216a6 - 27y3

Step-by-step explanation:

I took the test on edge. :)

Which equation could be solved using this application of the quadratic formula? a. -2x2 − 8 = 10x − 3 b. 3x2 − 8x − 10 = 4 c. 3x2 8x − 10 = -8 d. -2x2 8x − 3 = 4

Answers

The equation that can be solved when the given quadratic formula is used is c. 3x² + 8x − 10 = -8.

How can we use quadratic equations?

The given quadratic equation is:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3)

Rewriting the quadratic equation in option C gives:
3x² + 8x − 2 = 0

Seeing as a quadratic equation takes the form:

x = (-b ± √(b² - 4(a)(c))) / 2 (a)

The formula becomes:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3) which is the given quadratic formula.

In conclusion, option C is correct.

Find out more on quadratic equations at https://brainly.com/question/1214333.

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Solve the following:
4x3 = 2x + 7

Answers

Answer:

If you meant 4x to the third power, than x = 1.34

Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?

Answers

Answer:

y²+x-7=-x+37

Step-by-step explanation:

im a pickle morty its the funniest thing ive ever experienced

Answer:

A

Step-by-step explanation:

samantha got home after school and found a package sitting on the front porch she carried 20N package upstairs her stair are 10m tall how much work did she do (need to show solution)

Answers

Answer:

Zero

Step-by-step explanation:

Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero

prove that √5 + 7 is irational​

Answers

Explanation:

What are irrational numbers?

Irrational numbers include numbers like: π, 12π, ∛2, √11, √12, 4√2

Note: √4 = ± 2, √16 = ± 4 and others which completely square root are still rational numbers as they can be written as whole number integers.

Here given number: √5 + 7

It is an irrational number as it cannot be simplified further to a whole number. In decimals: 9.236067977... and keeps repeating. It is an example of non-recurring decimals. Hence, it is an irrational number.

2.4 divided by 0.24 pllss help

Answers

Answer:

your answer is 10 Goodluck

The pirate captain ordered his men to dig
For treasure. Six men dug, one at a time, im
qual shifts for a total of three and a half
hours. How long was each man's shift?
Asap help

Answers

3 and a half hours is 210 minutes, if each man worked equally, we would do 210/6 and that means each man worked 35 minutes.

please help i have no idea what to do

Answers

Answer: D) 80 degrees

Step-by-step explanation:

how to do a reflection on the line y=-x

Answers

change (x,y) -> (-y,-x)

I need help, please and thank you

Answers

Answer:

It's -3.125

Step-by-step explanation:

1/8 in decimal is 0.125

the 3 is a whole number so just put it in front.

Remember it's a negative, so you get:

-3.125

Answer:

-3.125

Step-by-step explanation:

- Multiply 3 and 8 to get 24. [tex]-\frac{24+1}{8}[/tex]

- Add 24 and 1 to get 25. [tex]-\frac{25}{8}[/tex]

- Turn [tex]-\frac{25}{8}[/tex] into a decimal to get -3.125

15. If m arc BY = 40 degrees, what is m angle YAC? the figure is not drawn to scale.

Answers

Using the tangent theorem and the inscribed angle theorem, the measure of angle YAC in the figure is: 70°.

What is the Tangent Theorem?

The angle formed at the point of tangency of the radius and the tangent equals 90 degrees based on the tangent theorem.

What is the Inscribed Angle Theorem?

According to the inscribed angle theorem, an inscribed angle equals the measure of the arc intercepted.

m∠BAY = 1/2(40) [inscribed angle theorem]

m∠BAY = 20°

m∠BAC = 90° [tangent theorem]

m∠YAC = 90 - 20

m∠YAC = 70°

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