1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naily [24]
3 years ago
8

Suppose a triangle has two sides of length 32 and 35, and that the angle

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

Answer:

The third side is around 58.043

Step-by-step explanation:

Use the law of cosines:  c^2=a^2+b^2-2abcos(C)

Plug in the two sides we know (into a and b) and the angle we know (into angle C).

Thus:

c^2=32^2+35^2-2(32)(35)cos(120)

Use a calculator:

c^2=3369\\

c=58.043087...

(Note: Make sure you're in Degrees mode.)

You might be interested in
To which place value is the number rounded? 8.293 to 8.29?
lana66690 [7]
Rounded to 1 decimal place
8 0
3 years ago
Read 2 more answers
3a. Write an equation in slope-intercept form of a<br> line that passes through (2,1) and (6,-5).
eimsori [14]

Answer:

y =- 3/2x + 4

Step-by-step explanation:

(2,1) and (6,-5).\\x_1 = 2\\x_2 = 6\\y_1 =1\\y_2 =-5\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-1}{x-2} = \frac{-5-1}{6-2}\\\\\frac{y-1}{x-2} = \frac{-6}{4} \\Cross-Multiply\\4(y-1) = -6(x-2)\\4y-4=-6x+12\\4y =-6x+12+4\\4y = -6x+16\\Divide-  through-by ; 4\\\frac{4y = -6x+16}{4} \\\\y = -\frac{3}{2} x +4

5 0
3 years ago
Roger is making sandwiches for a picnic. He has a choice of white or wheat bread. He has a choice of turkey, roast beef, chicken
BigorU [14]
The answer is b.6 because if you go through and look at each available type of sandwich to make you will get six different selections
4 0
3 years ago
Read 2 more answers
A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm
MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x\geq25.8  upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em>\frac{1}{b-a}<em>   </em>a\leq x\leq b

            =1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)=\frac{x-a}{b-a} =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0
3 years ago
George is 4 times Dorothy's age. If George is 56, how old is Dorothy? Let d = Dorothy's age.
Yuri [45]
4d=56
d=14. Ad a result, Dorothy is 14 years old. Hope it help!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Caitlin is at the grocery store, and she’s trying to finthe unit price on a 6-pack of drinks on sale for $2.99.
    10·1 answer
  • What is 265888 rounded to nearest ten thousands
    9·2 answers
  • Please tell me what 1+1 is ??????
    6·2 answers
  • A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the pr
    14·2 answers
  • WILL GIVE BRAINLIEST
    14·1 answer
  • How to simplify please help
    9·1 answer
  • PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
    15·1 answer
  • I will offer points to whoever can solve my question
    8·2 answers
  • Hi
    14·1 answer
  • 50 POINTS What is the greatest common factor of 4k, 18k4, and 12?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!