Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third side of the triangle?

Answers

Answer 1

Answer:

Approximately 11 feet.

Step-by-step explanation:

Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C

⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]

       = 64 + 144 - 192 x 0.42262

       = 208 - 81.143

       = 126.857

x = [tex]\sqrt{126.857}[/tex]

  = 11.2631

x ≅ 11

The length of the third side of the triangle is approximately 11 feet.


Related Questions

Solve this equation
бу – 14 = 22
y =

Answers

6y -14 = 22
22+14=36
36/6= 6

Y=6
Hope this helps!

Answer:

Let's solve your equation step-by-step.6y−14=22Step 1: Add 14 to both sides.6y−14+14=22+146y=36Step 2: Divide both sides by 6.6y6=366y=6Answer:✍️y=6

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Can someone break this down step by step so i know how to do it please
thankyou .

Answers

Answer:

12x+3y+3

Step-by-step explanation:

Let's simplify step-by-step.

4x+2y+6+7x+3y−4+x−2y+1

=4x+2y+6+7x+3y+−4+x+−2y+1

Combine Like Terms:

=4x+2y+6+7x+3y+−4+x+−2y+1

=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)

=12x+3y+3

 

 

Answer:

12x + 3y + 3

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)

Step 2: Simplify

Combine like terms (x):                    12x + 2y + 6 + 3y - 4 - 2y + 1Combine like terms (y):                    12x + 3y + 6 - 4 + 1Combine like terms (Z):                    12x + 3y + 3

What are the x - and y - intercepts for the graph of 2x - 5y = 10

Answers

Answer:

Step-by-step explanation:

2x-0=10

x=5

y=2

diagram of ABCD to find m

Answers

Answer:

since the pairs of opposite lines in the diagram are parallel the measurement of B is also 63

to fine A and C simply subtract 180 - 63 which gives us 117 so

A = 117

B = 63

C = 117

D = 63

Please help me whats -2(a-3)=12 showing your work and how you did it (solving for a)

Answers

Answer:

i believed its a=-3

Step-by-step explanation:

-2(a-3)=12

-2a+6=12

-2a=6

divide -2

a=-3

Please help I don’t know how to do this

Answers

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

A box of dried fruit has 54 calories in 3 servings. How many calories are there per serving?

Answers

Answer:

18 per serving

Step-by-step explanation:

54/3=18   just divide to find the unit rate

3[ 9 - ( 6 - 3 ) ] - 10

Answers

The answer is 8... your welcome

Answer:

The answer is 8

Step-by-step explanation:

Pay attention bro

Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year?

Answers

Answer:

399.37

Step-by-step explanation:

multiply the amount each week by the amount of weeks to get the answer :)



Use a scale factor to find the missing side.

A)10
B)12
C)15
D)16

ᴄᴀɴ sᴏᴍᴇᴏɴᴇ ᴘʟᴇᴀsᴇ ʜᴇʟᴘ ᴍᴇ.

Answers

Answer:

15

Step-by-step explanation:

If we accept that the left side of the left triangle corresponds to the left side of the right triangle, then the scale factor is 6/8 = 3/4. By multiplying the scale factor by the bottom side of the first triangle, you'll get the corresponding side of the right triangle: 20 * 3/4 = 15.

Answer:

15

Step-by-step explanation:

PLS HELP ME 5x+3=7x-1

Answers

Answer:

Hello! the answer is X=2

Step-by-step explanation:

Answer:

The answer is x=2

Step-by-step explanation:

What is the original cost of a skateboard that was discounted by 35% and now sells for $92.95?

Answers

The original price was $152.23.

Answer:

The answer should be $143

95°



55°
please fast give me correct ans with full process i will mark u as brainlist ​

Answers

Answer:

Step-by-step explanation:

55 pages in 25 minutes

Answers

2.2 pages per minute

Fernando is trying to incorporate more exercise into his busy schedule. He has several short exercise routines he can complete at home. Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. How long does each routine last?

Answers

Answer: Arm routine = 11 minutes

Abdominal routine = 22 minutes

Step-by-step explanation:

Let the minutes used for an arm routine be represented by x.

Let the minutes used for an abdominal routine be represented by y.

Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This can be expressed as:

2x + 3y = 88

This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. This can be expressed as:

4x + y = 66

2x + 3y = 88 ...... i

4x + y = 66 ...... ii

Multiply equation I by 4

Multiply equation ii by 2

8x + 12y = 352 ...... iii

8x + 2y = 132 ...... iv

Subtract iv from iii

10y = 220

y = 220 / 10

y = 22

An abdominal routine last for 22 minutes

From equation I

2x + 3y = 88

2x + 3(22) = 88

2x + 66 = 88

2x = 88 - 66

2x = 22

x = 22/2

x = 11 minutes

An arm routine last for 11 minutes


You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?

Answers

Answer:

Choice A. $2,392 is the correct answer

Choice A is the correct one

Pls answer I need help!

Answers

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

PLEASE HELP!!!
Segments DE, EF, and DF are midsegments of AABC. Find the length of the indicated
segment.

Answers

Answer:

6

Step-by-step explanation:

You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.

DF = EB

     = AB

     = 6

15 + 4x = 12 + x nm jjk kj k j jk kj k kj kjkj

Answers

Answer:

x = −1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Original Equation:

15 + 4x = 12 + x

Subtract x from both sides

15 + 3x = 12

Subtract 15 from both sides

3x = -3

Divide both sides by 3

x = -1

Hope this helps :)

Please consider Brainliest :)

What is the value of x? Enter your answer in the box​

Answers

Answer:

x=28

Step-by-step explanation:

Set 2x-4 equal to 60 and solve.

The three angles in the triangle add up to 180. Divide this by 3 and you get 60.

Eli wanted to order candy online. Company A 2 1/2 pounds of chocolate for $32.50. How much is Company A charging per pound of chocolate?

Answers

Answer: Company A is charging $13 per pound of chocolate

Step-by-step explanation:

32.5/2.5=13= 1 pound

Check:

13*2.5=$32.5

LINEAR EQUATIONS!
7(6-y)=-3(y-2)

Answers

Answer:

y=9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variables

move variable to left side and change its sign  

42-7y+3y=6    collect like terms

-7y +3y=6-42

-4y=6-42

-4y=-36     divide both sides of the equation by -4

y=9

hope that helps :)

will give 50 points!
Torren deposits $4500 in an account earning 2% interest, compounded annually. The equation that represents this situation is
A(n)=4500(1+0.02)^n-1
How much will he have in the account at the beginning of year 8? Round your answer to the nearest dollar
A. $5169
B. $16,124
C. $32,130
D.$5272

Answers

Answer:

the answer is D

Step-by-step explanation:

hopes it helped^^

Write a function for the geometric sequence where the first term is 11 and the common ratio is 4. please help This is due today and I don't understand it I will give brainliest

Answers

Given:

In a geometric sequence,

First term = 11

Common ratio = 4

To find:

The function for the geometric sequence.

Solution:

We have,

First term: a = 11

Common ratio: r = 4

We know that, nth term of a geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

Putting a=11 and r=4, we get

[tex]a_n=(11)(4)^{n-1}[/tex]

The function notation is

[tex]f(n)=(11)(4)^{n-1}[/tex]

Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.

Using the equation below, determine the following:
y=-32-17
SLOPE:
Y-INTERCEPT:

Answers

Answer:

slope: 0

y-intercept:(0,49)

Step-by-step explanation:

Hope this helps!

Answer:

SLOPE: 0

Y -INTERCEPT: 49

Step-by-step explanation:

y = -32 - 17 (collect like terms)

y = 49

The slope would be zero because it doesn't have an x-intercept.

The line would look like this..

49 -------------------------------------------- completely flat like the floor so zero slope.

HOPE THIS HELPS!1

Whats the answer for #3

Answers

2/1 or 2 is the answer

Answer:

plus 2

Step-by-step explanation:

because there negatives

can someone check my answers plz

Answers

Answer:

its right

can i have brainliest please

Answer:

I got the same answers as you

Solve the system of equations by substitution.
X + y = 21
y = 6x

Answers

Answer:

x = 3

y = 18

Step-by-step explanation:

you replace y with 6x

x + 6x = 21

combine like terms

7x = 21

divide both sides by seven

x = 3

then you plyg 3 into the other equation

y = 6(3)

y= 18

Answer:

x=3

y=18

Step-by-step explanation:

x+y=21..........equation 1

or,x=21-y......equation 2

y=6x.......equation3

substituting the value of x in equation 3

y=6(21-y)

or,y=126-6y

or,7y=126

y=18

again,substituting the value of y in equation 2

x=21-y

or,x=21-18

x=3

x=3,y=18

Do anybody know how to do this ? This typa work is unnecessary bruh I hate school !

Answers

Man, I have to be honest with you, I have no clue. But here is something else though. I had to take Geometry last year, and you are right. It does suck. But, you will get through it! There is a light at the end of the tunnel and you will get it! Keep up the good work!

Answer:

m<1 = 87

Step-by-step explanation:

Bro I got you! You ain't gotta hate school no more!

Right the equation like this

m<1 + m<2 = <TSV (plug in)

m<1 + 65 = 152 (subtract 65 from 152 to get m<1)

m<1 = 87

There you go!

Hope this helps ya!

XYZ is Shown Below


Determine the value of x.

Answers

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

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