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
Tatiana [17]
2 years ago
8

Find the missing values. Leave answers in simplified radical form.

Mathematics
2 answers:
Vilka [71]2 years ago
5 0

Answer:

See below ~

Step-by-step explanation:

<u>Q3</u>

  • r = 8 / sin 45°
  • r = 8 / (1/√2)
  • <u>r = 8√2</u>

  • t  = 8 / tan 45°
  • t = 8 / 1
  • <u>t = 8</u>

<u></u>

<u>Q4</u>

  • f = 9√3 / sin 60°
  • f = 9√3 / (√3/2)
  • <u>f = 18</u>

  • o = 9√3 / tan 60°
  • o = 9√3 / √3
  • <u>o = 9</u>
gulaghasi [49]2 years ago
4 0

#3

  • tan45=8/t
  • 1=8/t
  • t=8

Simiilary

  • cos45=8/r
  • r=8√2

#4

  • sin60=9√3/f
  • √3/2=9√3/f
  • 1/2=9/f
  • f=18

And

  • cos60=0/18
  • 1/2=0/18
  • o=18/2=9
You might be interested in
A percent means for every
guapka [62]
X% peans for every 100 objects, there are x objects.
7 0
3 years ago
Write the complex number in polar form:
emmasim [6.3K]

9514 1404 393

Answer:

  2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

  √((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

  arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

  (2√30)∠-120°

_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

  (2√30)cis(-120°)

  (2√30; -120°)

  (2√30; -2π/3)

  2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

__

At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

6 0
3 years ago
Find the volume. Help asap. Please.
alexgriva [62]

Use the Pythagorean theorem to find the diameter:

Diameter = √(19.3^2 - 9.5^2)

Diameter = √(372.49 - 90.25)

Diameter = √282.24

Diameter = 16.8 m

Volume of a cylinder = PI x r^2 x h

r = 1/2 diameter = 16.8 /2 = 8.4

h = 9.5 m

Volume = PI x 8.4^2 x 9.5

= PI x 70.56 x 9.5

= PI x 670.32

In terms of PI volume = 670.32PI

As a decimal:

670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)

5 0
3 years ago
Read 2 more answers
Jenna sold 63 bracelets at one craft show and 36 and another which expression correctly applies the distributive property to sho
aev [14]

Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

63 + 36 = (3)(21) + (9)(4)

63 + 36 = (7)(9) + (12)(3)

63 + 36 = 9(7 + 4)

63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

63 = 3, 7, 9, 21,

36 = 2, 3, 4, 6, 9, 12, 18,

Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

9(7 + 4)

3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

63 + 36 = 63 + 36

3 0
3 years ago
Help me plz I don't get it !!!!!!!!
Alona [7]
Answer: B.

It grows 3 inches per week
3 0
3 years ago
Read 2 more answers
Other questions:
  • Dakota makes a salad dressing by combining 6 1/2 fluid ounces of oil and 2 3/8 fluid ounces of vinegar in a jar. She then pours
    15·1 answer
  • I Dont Understand can someone please help me and explain
    8·1 answer
  • After watching the video below, explain what is happening in your own words. What percent of the original dollar size will the 4
    10·1 answer
  • The sum of two numbers is 84 the first is nine more than four times the second find the numbers
    8·1 answer
  • Solve the equation 34 - (x + 8) = 6x-2​
    10·2 answers
  • I think its D but im not sure.​
    10·2 answers
  • Maria got a job at Walmart. She makes $15 an hour plus an additional S3 dollars for overtime hours. If she
    6·2 answers
  • What is 1.7 and 5.62 in expanded form ?
    7·2 answers
  • Variable
    9·1 answer
  • I NEED HELP ASAP PLEASE
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!