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
VladimirAG [237]
3 years ago
9

The unit circle was made to have a radius of

Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

To simplify computations, mathematicians like to fit an angle's triangle into a circle with radius r = 1.

Step-by-step explanation:

Because the number 1 is called "the unit" in mathematics, a circle with a radius of length 1 is called "the unit circle".

You might be interested in
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
3 years ago
The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:
Eduardwww [97]
I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53

Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11

Therefore, <span>the maximum average annual income, in dollars, a lawyer can earn</span>  is $567,794
8 0
3 years ago
Mia's mother gives her $10 per week for allowance Mia gets an additional $3 for every hour she spends watching
nika2105 [10]

Answer:

10+3t=25

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Plz anyone help for points
emmainna [20.7K]

Answer:

B. 1,188 cubic units

Step-by-step explanation:

First find the area of the base

A = 1/2b*h (this would only be half the base so our formula would be)

A = b*h (Now enter values)

A = (9)(6)

A = 54 (now plug this into the volume formula)

V = Ab * h

V = (54)(22)

V = 1,188 cubic units

6 0
3 years ago
How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?
tiny-mole [99]
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution) 
in simple terms:    %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x)            simplify/ distribute
0.6x + 12 = 25 +0.5x                  get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13    divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Nicole used her credit card to buy a $1,255 mattress. Her credit card has an APR of 11.56%, compounded monthly, and the mattress
    7·1 answer
  • 2x2 - 3x - 2 = x + 4.check all of the solutions to this equation.-137(–1, 3)(3, 7)
    11·2 answers
  • Give formula to calculate Selling price when profit is given in percentage. ​
    11·1 answer
  • A 16-ounce carton of milk costs 63 cents, while a half-gallon jug of milk sells for $2.24. How much more expensive, in cents per
    5·1 answer
  • 11 + (3)(9) Step 1: 11 + (9)(3) Step 2: (11 + 9)(3) Step 3: 20(3) Step 4: 60 Analyze the work to find the error.
    8·2 answers
  • Look at image please help me
    14·2 answers
  • Anybody knknow the answer
    14·1 answer
  • Help me out plz I will gave u Brainliest
    9·1 answer
  • What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?
    10·1 answer
  • X - 4 = -12 please tell the answer as fast as possible
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!