How do you find the length of a leg on a triangle?

Answers

Answer 1

Answer:

add the other lenghts togethere and subtrack those 2 from 180 and bam

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

law of sineslaw of cosinesPythagorean theoremarea formula

Step-by-step explanation:

The method for finding the unknown length of a side of a triangle depends on what other information is given. In general, you need one side, one angle, and at least one other side or angle.

Solving a triangle usually is introduced with the Pythagorean theorem. For a right triangle, it tells you ...

  the square of the hypotenuse is equal to the sum of the squares of the other two sides.

If the side lengths are a, b and the hypotenuse is c, then ...

  c² = a² + b²

Solving for the hypotenuse, c, you have ...

  c = √(a² +b²)

Solving for one side, a, you have ...

  a = √(c² -b²)

__

Occasionally, you're asked to find a measure of a triangle using the formula for area.

  A = 1/2bh

Solving for the base or height gives you ...

  b = 2A/h

  h = 2A/b

__

Once you learn trigonometry, additional methods are available for solving triangles. The Law of Sines tells you ...

  a/sin(A) = b/sin(B) = c/sin(C)

where angles A, B, C are opposite sides a, b, c, respectively.

And the Law of Cosines tells you ...

  c² = a² +b² -2ab·cos(C) . . . . . . . . where sides and angles are as above

This can be rearranged by interchanging a, b, c, keeping the appropriate angle. For C = 90°, this reduces to the Pythagorean theorem.

For right triangles, the various trig relations can also be used to solve triangles. These are conveniently summarized in the mnemonic SOH CAH TOA. It is intended to remind you ...

Sin = Opposite/HypotenuseCos = Adjacent/HypotenuseTan = Opposite/Adjacent

__

In summary, depending on the given information, you choose an applicable formula, fill in the given information, and solve for the unknown. If you have more than one unknown, you may need to choose a different formula.


Related Questions

Find the value of x.

A) 4 square root 2 / 2
B) 4
C) 4 square root 2
D) 4 square root 3

Answers

Answer:

[tex]B) \: \boxed{4}[/tex]

CALLING ALL EXPERTS! WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. THANK YOU AND GOD BLESS. THE QUESTION IS ATTACHED. :)

Answers

Answer:

x=34/5 , y= -4/5

Step-by-step explanation:

[tex]\begin{bmatrix}\frac{x-5}{3}+\frac{y+2}{3}=1\\ \frac{1}{3}x-\frac{1}{2}y=\frac{8}{3}\end{bmatrix}\\\\\\\frac{x-5}{3}+\frac{y+2}{3}=1\\\\\mathrm{Subtract\:}\frac{y+2}{3}\mathrm{\:from\:both\:sides}\\\\\frac{x-5}{3}+\frac{y+2}{3}-\frac{y+2}{3}=1-\frac{y+2}{3}\\\\Simplify\\\\\frac{x-5}{3}=1-\frac{y+2}{3}\\\\\mathrm{Multiply\:both\:sides\:by\:}3\\\\\frac{3\left(x-5\right)}{3}=3\times\:1-3\times\frac{y+2}{3}\\\\Simplify\\\\\frac{3\left(x-5\right)}{3} =x-5\\\\3\cdot \:1-3\cdot \frac{y+2}{3}[/tex]

[tex]=-y+1\\\\x-5=-y+1\\\\x-5=-y+1\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\\\x-5+5=-y+1+5\\\\Simplify\\\\x=-y+6\\\\\mathrm{Substitute\:}x=-y+6\\\\\begin{bmatrix}\frac{1}{3}\left(-y+6\right)-\frac{1}{2}y=\frac{8}{3}\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}\frac{-5y+12}{6}=\frac{8}{3}\end{bmatrix}\\\\Solve\:for\:y\\y=-\frac{4}{5}\\\\\mathrm{For\:}x=-y+6\\\\\mathrm{Substitute\:}y=-\frac{4}{5}\\\\x=\frac{34}{5}\\\\x=\frac{34}{5},\:y=-\frac{4}{5}[/tex]

Enter the Sum: 8/6 - 6/12 =

Answers

Answer:

8/6−6/12=56

Step-by-step explanation:

(86×22)−(612×11)=?

16/12−6/12=?

16−6/12=10/12

10÷2/12÷2=56

8/6−6/12=56

What do I do I don’t know the answer

Answers

Answer:

B) 114.511m^3

Step-by-step explanation:

Formula of a cylinder is πr^2 x h

r = radius (half of diameter)

h = height

Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2

Half of the diameter is 2.25. 2.25^2 = 5.0625.

The volume of the cylinder = 5.0625π x 7.2

By solving this, you will get approximately 114.511 m^3 as your answer.

Can I get your help with this one plsssss

Answers

Answer:

The answer is C. There are four monkeys at the zoo for every one tiger.

What is the slope of the line that passes through the points(2,−3) and(2,13)?

Answers

Answer: undefined

Step-by-step explanation: slope is the difference in y values over difference in x values any number over 0 is undefined

If 5 cans of soup cost $4.49, what apuro be the cost for 20 more?

Answers

Answer:

$17.96

Step-by-step explanation:

4.49 for 5

5 times 4 = 20

4.49 times 4 = 17.96

What is the degree of 25 = 2.03 + 2.0 4x + 1​

Answers

25=2.03+2+1 (4x)
25=5.03 (4x)
4/19.97=4x/4
4.9925=x

Answer:

Fraction: x = 2197/204

Decimal: 10.76960

Step-by-step explanation:

Switch Sides: 2.03 +2.04x + 1=25

Group Like Terms: 2.04x + 2.03 + 1 =25

Add The Numbers 2.03 + 1 = 3.03: 2.04x + 3.03 = 25

Multiply Both Sides By 100: 2.04 * 100 + 3.03 * 100 = 25 * 100

Clarify: 204x+303=2500

Subtract 303 From Both Sides: 204x + 303 - 303=  2500 - 303

Divide Both Sides By 204: 204x/ 204, 2197/204

Simplify: x = 2197/204

Hope This Helped, Have A Great Day!

why is
The slope of segment AB is
equal to
the slope of segment BC.

Answers

Answer:

equal

Step-by-step explanation:

Question 7 of 10
AC is included between
A
C
A. ZA and C
B. ZA and ZB
C. BC and AC
D. AB and

Answers

The answer is d!! Hope this helped

The side AC of the triangle is included between angles A and C.

What is an Included Side?

An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.

Given is a triangle, we need to determine the angles which includes the side AC,

Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

Thus, in triangle ABC, side AC lies in between angle A and angle C.

Therefore, since angle A and angle C forms side AC, AC is included between ∠A and ∠C.

Hence, the side AC of the triangle is included between angles A and C.

Learn more about included side on:

brainly.com/question/3168048

#SPJ5

Tim played 20 games of draughts.
He won 16 of these games.
a) What fraction of the games did he win?
Give your answer in its simplest form.​

Answers

Answer:

4/5

Step-by-step explanation:

Played 20 games. Won 16. Both numbers have a 4 in common. divide 16 by 4.. which is 4. Divide 20 by 4... which is 5. That means Tim won 4/5 of the games played.

Answer :4/5

Step-by-step explanation:

Because we write  16/20 and simplify it by 4 and thats the simplest form

PLEASE HELP WILL GIVE BRAINLIEST!!

Answers

Answer:

305.5 sq inches

Step-by-step explanation:

A (trapezoid) = 1/2·h·(sum of bases)

A = 1/2(17)(8 + 23)

A = 8.5(31)

A = 263.5

A(triangle) = 1/2·b·h

A = 1/2·(6)·(17-3)

A = 3(14)

A = 42

Total Area = 263.5 + 42.0 = 305.5 sq in

How many nights must be booked so that the cost is the same?

Answers

Answer:

5

Step-by-step explanation:

its where the line matches up.

Answer:

5

Step-by-step explanation:

????????????????????

Solve the system of equations by elimination.
2x - 9y = 23
5x - 3y = -1

Answers

Answer:

Step-by-step explanation:

2x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -1

SOMEONE HELP ME PLEASEE! who is correct?

Answers

Answer:

neither

Step-by-step explanation:

In ΔQRS, the measure of ∠S=90°, QR = 82 feet, and RS = 60 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:

43.0°

Step-by-step explanation:

cos∅=adj/hyp

cos∅=60/82

∅=cos-1 60/82

∅=cos-1  0.731707317073

∅=42.97028393174°

Round: 43.0°

Answer:

R=42.9703≈43  

Step-by-step explanation:

Deltamath

Can someone pls help?

Answers

Answer: 2

Step-by-step explanation:

Because if u divide 12÷6=2 2×6=12

Answer: [tex]x=6\sqrt{3}[/tex]

Step-by-step explanation:

[tex]x=\sqrt{12^{2}-6^{2} } =\sqrt{144-36} =\sqrt{108} =6\sqrt{3}[/tex]

Please help and give explanation

Answers

Answer:

100 mins

Step-by-step explanation:

total no of gallons pool can hold=4500

gallons pool already holds=1500

rate of adding water= 30 gallons per min

time he can continue filing= 4500-1500/30

=3000/30

=100 minutes (m value)

correct me if I'm wrong appreciate me if I'm good

ok, plz help me, nobody has helped me for the last 4 questions!

Answers

gooooooooooooooooooo

Answer:

1. 2/6=1/3   0.333  33%

2. 4/6=2/3  0.666 66%

3. 3/6=1/2  0.50  50%

Step-by-step explanation:

Find the area of the circle. Round your answer to the nearest tenth. Use 3.14. The radius is 9

Answers

Answer:

28.26

Step-by-step explanation:

i wasnt sure what it was the the nearest tenth im really really sorry but i hope that helps

please help i’ve done a (5x) but i need b) and c)

Answers

Answer:

b would be 6xy

c would be 6xy as well

Step-by-step explanation:

Not really sure how to explain it, I just know it

Answer:

b) 6xy

c) 6xy

Step-by-step explanation:

b) 6 × x × y

Since there are no like terms, just straight away remove the multiplication signs. So the answer is:

= 6xy  

c) 2 × x × 3 × y

2 and 3 are like terms since they are both natural numbers (positive integers), you can multiply 2 with 3. The answer will be:

= 6xy

please help asap i’ll give a brainliest to the person with the correct answer

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

(3,0)

Step-by-step explanation:

Because the slope has to be subtracted by the point out-point to make the equation y=x-1 true. Therfore the anwser would be (3,0).

Plz name me brainliest thx so much.

Show work pls for brainly

Answers

what grade are u in that's easy lolll

Step-by-step explanation:


Suppose you have 30 CDs. You know that you have 11 more CDs that your friend. Write an equation to find the number of CDs your friend has.

Answers

Answer:

30-11=19

so your friend has 19 becuase you have 11 more which is 30 and when you minus it you get the answer

if the radius of a circle is 111, what is the diameter?

Answers

Answer:

d=222

Step-by-step explanation:

Answer:

222

Step-by-step explanation:

When finding the diameter of a circle, (and you have the radius) simply double the radius to find the diameter.

Convert the angle 0=17pie/18 radians to degrees.
Express your answer exactly.

Answers

170° is the answer I got hope it helps
The answer is 170 hope this helps

Caitlin drew a circle and labeled the circle S. The diameter of Caitlin’s circle is 12 m. Which of the following best represents the area of Caitlin’s circle?

A. 452 m^2
B. 38 m^2
C. 113 m^2
D. 75 m^2

Answers

Answer:

C

Step-by-step explanation:

Radius: 12 / 2 = 6 m

Area: 6^2 x pi = 113 m^2

Answer:

c

Step-by-step explanation:

area = π · r²

to change the diameter to radius you just divide by 2

12/2=6 so the radius is 6

then we just plug 6 into r for the circle are formula

6²=36

36x3.14=113.04 so her best answer choice is c

y=-2(x + 1)2+3
write in standard form

Answers

y = -2(x + 1)² + 3

y = -2(x² + 2x + 1) + 3

y = -2x² - 4x - 2 + 3

y = -2x² - 4x + 1

Answer:

4x + y = -1

just simplify then re-write

hope this helped

A worker has to drive her car as part of her job. She receives money from her company to pay for the gas she uses. The table shows a proportional relationship between y, the amount of money that the worker receives, and x, the number of work-related miles driven.

Write the equation that can be used for this situation.​

Answers

Answer:

0

Step-by-step explanation:

PLEASE HELP THIS IS A MONTH LATE


Solve each equation for y. Use the given values for x to find the values for y. Write answers as ordered pairs.

Answers

Answer:

1. x =-4 (-4,27)

x =0 (0,3)

x = 2 (2 , -9)

2. x = -1 (-1 , 3)

x = -2 (-2 , 2)

x = -3 ( -3, 1)

3. x = -3 (-3 , 13)

x = 1 (1 , 1)

x = -2 ( -2, 10)

4. x =2  (2 , 24)

x = 3 (3 , 30)

x = -2 (-2 , 0)

5.x = -3 (-3 , -2)

x = 2 (2 ,-12 )

x =4  (4 , -16)

6. x = -1 (-1 , -2)

x = 0 (0 , 2)

x = 2 (2 , 10)

7. x = -2 (-2 , -10)

x = 0 (0 , -14)

x = 3 (3 , -20)

(pls mark brainliest <3 ty)

Step-by-step explanation:

Other Questions
A child weighs 83 pounds. Given that 1 pound is equal to 16 ounces, how many ounces does the child weigh? What is the complementary DNA strand for the following. ATTGCACGA Read the following passage, which contains a shift in tone:One of the main reasons the Great Depression started was that afterthe stock market crashed and the banks started to fail, people freakedout and stopped buying stuff. When people stop buying stuff, less stuffis made, and there go the jobs, meaning even less buying. Thisunfortunate spiral helped plunge the nation into bad times.Which of the following revisions best corrects the shift in tone and maintainsa formal style throughout?O A. One of the main reasons the Great Depression began was thatafter the stock market crashed and the banks started to fail,people panicked and stopped spending money. When people stopbuying items, fewer items are produced and unemployment rises,meaning even less consumption. This unfortunate spiral helpedplunge the nation into depression.B. One of the big reasons the Great Depression got rolling was thatafter the stock market crashed and the banks fumbled, peoplepanicked and stopped spending money. When people stopshopping, fewer items are produced and unemployment rises,meaning even less buying. This unfortunate spiral helped plungethe nation into depression.O C. One of the main reasons the Great Depression began was thatafter the stock market crashed and the banks started to fail,people went bananas and stopped shopping. When people stopbuying, less stuff is made and unemployment rises, meaning evenless purchasing. This unfortunate spiral helped plunge the nationinto depression.D. One of the main reasons the Great Depression started was thatafter the stock market crashed and the banks started to fail,people panicked and stopped spending money. When people stopbuying items, fewer items are produced, and jobs go bye-bye,meaning even less shopping. This total bummer of a situationhelped plunge the nation into depression How many members are needed to override a veto and pass a bill into law? the full membership of either house two-thirds of the members in both houses half of all members in the general assembly the entire membership of the general assembly find the range of the data.26, 12, 34, 18, 78, 11, 65, 46, 38. Which of the following best describes the beginning of the World War II? PLSSSSS HELP MEE IM STUCK ON THIS WORKSHEET PLSS HELP FIND THE VOLUMEROUND TO THE NEAREST HUNDRETH SHOW WORK PLEASEWILL GIVE BRAINLIEST the ratio of the sides of a triangle is 2 6 7 if the perimeter of the triangle is 195 meters please help me to write an paragraph about a famous person who likes to help poor people and sick people like St.Nicholas .(Nickolas was from the city of myra he loved to give gifts and he secretly put coins in people's shoes. pleaaase help How did the US go from being a United, patriotic nation to having a civil war in less then 50 years? can someone pls help! 20 points! and mabye explain if you can?! Beowulf: What universal or timeless value is shown in lines 32-36 A. courage C. hope B. loyalty D. love If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?1. 202. 223. 244. 26 What idea was proposed by President Wilson at the end of World War 1?A United NationsB. League of NationsC. World Peace NegotiationD Congress of World Negotiation help please! marking brainliest:) what type of word relationship does this analogy show cave: cavern song: tune Help please!! I need this now HELP ASAP Check the lines that rhyme with each other. Than be a man who walks with men, And stand amid the drifted snow, Like thee, a thing apart, But has a frozen heart! 1. Explain one way in which understanding of the causes of disease and illness weredifferent in c.1750 to the present day.please help