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
Oxana [17]
2 years ago
9

Mrs. Smith bought 3 hats for $22.50. At this rate, how much is Mrs. Smith paying for 1 hat?

Mathematics
2 answers:
jolli1 [7]2 years ago
7 0

Answer:

Hi! The correct answer is $7.5

Step-by-step explanation:

<em><u>~to find the price of 1 seperate thing divide price by the amount that has been bought~</u></em>

tangare [24]2 years ago
6 0
$7.50
$22.50 divided by 3 ( the number of hats bought)
You might be interested in
This is finding exact values of sin theta/2 and tan theta/2. I’m really confused and now don’t have a clue on how to do this, pl
Lostsunrise [7]

First,

tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>)

and given that 90° < <em>θ </em>< 180°, meaning <em>θ</em> lies in the second quadrant, we know that cos(<em>θ</em>) < 0. (We also then know the sign of sin(<em>θ</em>), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < <em>θ</em>/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(<em>θ</em>/2) > 0 and sin(<em>θ</em>/2) > 0.

Now recall the half-angle identities,

cos²(<em>θ</em>/2) = (1 + cos(<em>θ</em>)) / 2

sin²(<em>θ</em>/2) = (1 - cos(<em>θ</em>)) / 2

and taking the positive square roots, we have

cos(<em>θ</em>/2) = √[(1 + cos(<em>θ</em>)) / 2]

sin(<em>θ</em>/2) = √[(1 - cos(<em>θ</em>)) / 2]

Then

tan(<em>θ</em>/2) = sin(<em>θ</em>/2) / cos(<em>θ</em>/2) = √[(1 - cos(<em>θ</em>)) / (1 + cos(<em>θ</em>))]

Notice how we don't need sin(<em>θ</em>) ?

Now, recall the Pythagorean identity:

cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1

Dividing both sides by cos²(<em>θ</em>) gives

1 + tan²(<em>θ</em>) = 1/cos²(<em>θ</em>)

We know cos(<em>θ</em>) is negative, so solve for cos²(<em>θ</em>) and take the negative square root.

cos²(<em>θ</em>) = 1/(1 + tan²(<em>θ</em>))

cos(<em>θ</em>) = - 1/√[1 + tan²(<em>θ</em>)]

Plug in tan(<em>θ</em>) = - 12/5 and solve for cos(<em>θ</em>) :

cos(<em>θ</em>) = - 1/√[1 + (-12/5)²] = - 5/13

Finally, solve for sin(<em>θ</em>/2) and tan(<em>θ</em>/2) :

sin(<em>θ</em>/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)

tan(<em>θ</em>/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2

3 0
2 years ago
What is the perimeter of the figure
Fofino [41]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Time sensitive question. Find the sum of the first 26 terms of an arithmetic series whose first term is 7 and 26th term is 93.
lisabon 2012 [21]

ANSWER

S_{26}=1300

EXPLANATION

The sum of an arithmetic sequence whose first term and last terms are known is calculated using

S_{n}= \frac{n}{2} (a + l)

From the given information, the first term of the series is

a = 7

and the last term of the series is

l = 93

The sum of the first 26 terms is

S_{26}= \frac{26}{2} (7 + 93)

S_{26}= 13 (100)

S_{26}=1300

7 0
3 years ago
Find the function value f (6) if f(x) = 4x-10
Olenka [21]
So first you plug 6 into the equation which is 4(6)-10.
Using PEMDAS, you solve what’s in the parenthesis first and you get 24-10.
24-10=14
f(6)=14
8 0
3 years ago
2.5.2 Project:Performance Task:A trade show booth
Mnenie [13.5K]

Answer:

2162203625

12345

joín on Zóôm

8 0
2 years ago
Other questions:
  • Which conclusion of the following statement must always be true?
    7·1 answer
  • write an expression in simplest form that represents the total amount in each situation: Today is your friends birthday. she is
    15·1 answer
  • (y-2) = 3(×-1) what's the slope
    7·1 answer
  • Solve for x. Round to the nearest hundredth
    10·1 answer
  • What is the solution to this equation? -15x=90
    7·2 answers
  • Which segment is parallel to AD
    10·2 answers
  • Can somebody answer this ? : n-4-9
    13·1 answer
  • Need help to understand how to calculate problems.
    13·1 answer
  • Please help, this is due soon :[
    14·2 answers
  • A bag contains hair ribbons for a spirit rally. The bag contains 7 black ribbons and 5 green ribbons. Which is the probability t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!