2. What is the measure of the central angle if the time is 3:00?

Answer:

I think it could be 28 because 28 minis 5 is 23

Answer:

-30

Hope this helps!

Answer:

Step-by-step explanation:

120/6=20

Answer:

20cm

Step-by-step explanation:

120/6 = 20

Answer: See explanation

Step-by-step explanation:

Interest = Principal × Rate × Time

Interest = $1500 × 5.6% × 4

= $1500 × 0.056 × 4

= $336

The total amount that will be paid will be:

= Principal + Interest

= $1500 + $336

= $1836

Answer:

6 Months where she borrowed less than 10,

and he borrowed the most books in August.

Step-by-step explanation:

Answer:

9' - 1.29"

Step-by-step explanation:

Total rise = 5' - 2"

Total run = 7' - 6"

1' = 12" = 1 feet = 12 inches

5' = 5 * 12 = 60"

3' = 7 * 12 = 84"

Total rise = 60" + 72" = 62"

Total run = 84" + 6" = 90"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(62² + 90²)

Hypotenus = 109.28860"

Convwrting back to feet and inches

= 9' - 1.29"

Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

--------------------------

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

Answer:

Q1 = 23 ; median = 28 ; Q3 = 36

TOP 25% = 3 students (Pauleen ; Vic and Tito).

Extra credit students : (students whose score range between 23 and 36. (score of 23 is not included).

Remediation = 4 students (Pia, Joey, Ryan and Allan

Step-by-step explanation:

Given the scores :

35, 23, 42, 36,36,27,42,28,35,18,42,25,27,18,20

Ordering the scores in ascending order :

18, 18, 20, 23, 25, 27, 27, 28, 35, 35, 36, 36, 42, 42, 42

The lower quartile :

Q1 = 1/4 * (n+1)th term

Q1 = 1/4 * 16 = 4th term

Q1 = 23

The median :

Q2 = 1/2 * (n+1)th term

Q2 = 1/2 * 16 = 8th term

Q2 = 28

The upper quartile :

Q3 = 3/4 * (n+1)th term

Q3 = 3/4 * 16 = 12th term

Q3 = 36

The top 25% refers to the student who scored beyond the 75 percentile score :

Number of students = (15th - 12th) = 3 students students who scored 42

Pauleen ; Vic and Tito.

The middle 50% gets extra credit : This is the interquartile range :

This are the students whose score range between 23 and 36. (score of 23 is not included)

Students who have to attend the remedial class are those in the lower quartile, student with score of 23 and below.

4 students and they are : Pia, Joey, Ryan and Allan

Answer:

Step-by-step explanation:

c

Answer:

43.98

Step-by-step explanation:

i was doing a problem like that on my math paper as well

9:7 is the ratio of crayons to colored pencils.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

The ratio of crayons to colored pencils can be found by dividing the number of crayons by the number of colored pencils:

The ratio of crayons to colored pencils = 27/21

Simplifying this ratio by dividing both the numerator and denominator by 3, we get:

The ratio of crayons to colored pencils = 9/7

Therefore, the ratio of crayons to colored pencils is 9:7.

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Answer:

y = (4/7)x + 3

Step-by-step explanation:

rise = 7 - 3 = 4

run = 7 - 0 = 7

slope = rise/run = 4/7

y-intercept = 3

---------------------

Slope intercept form is

y = mx + b

m is the slope = 4/7

b is the y-intercept  = 3

the equation is

y = (4/7)x + 3

Answer:

C.

Step-by-step explanation:

Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.  

With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.

Answer:

$33000

Step-by-step explanation:

Given data

Principal= ​$22,000

Rate= 6%

Time= 25 years

The interest to be paid is

Simple interest= PRT/100

Simple interest= 22000*6*25/100

Simple interest=3300000/100

Simple interest=$33000

Hence the total simple interest paid is $33000

Answer: 3 or 9/12

Step-by-step explanation:

3/4 to 0.75

0.75 * 4 = 3

Answer:

D: {all reals}

R: {-5}

Step-by-step explanation:

Solution :

Let x = number of coach class tickets sold per day on $ 10 reduced price

y = number of the business class tickets sold per day on $ 50 reduced per price.

Number of the coach class tickets sold = 20 per day at a price of $ 250

Number of the business class tickets sold = 10 per day at a price of $ 750

Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day

Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.

Therefore, the coach price, p(x) = 250 - 10x

Business class price, p(y) = 750 - 50y

Coach tickets, q(x) = 2 + 4x

Business class tickets, q(y) = 6 + 2y  

Revenue R(x, y) = p(x) q(x) + q(y) q(y)

R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)

R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0

1000-40x-200-40x=0

80x = 800

x = 10

R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0

1500 - 100y+(-300-100y) = 0

200 y = 1200

y = 6

P(x) = 250 - 10(10) = $ 150

P(y) = 780-50(6) = $450

q(x) = 20 + 4(10) = 60

q(y) = 6 + 2(6) = 18

Maximum revenue = 150 x 60 + 450 x 18

                              = 9000 + 8100

                              = $ 17100

Both a and b lie in the second quadrant, which means

π/2 < a < π

π/2 < b < π

for which we have both cos(a) and cos(b) negative, while both sin(a) and sin(b) are positive. We're also given that

cos(a) = -2/3

csc(b) = 2   =>   sin(b) = 1/2

Now, recall the following identities:

• sin^2(x) + cos^2(x) = 1

• sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

• cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

• tan(x) = sin(x)/cos(x)

Now,

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

… = √(1 - cos^2(a)) (-√(1 - sin^2(b))) + cos(a) sin(b)

* * where we take the negative square root because we expect cos(b) < 0 * *

… = - √(1 - (-2/3)^2) √(1 - (1/2)^2) + (-2/3) (1/2)

… = - √(1 - 4/9) √(1 - 1/4) - (2/3) (1/2)

… = - √(5/9) √(3/4) - 1/3

… = - (√5/3) (√3/2) - 1/3

… = -√15/6 - 1/3

… = -(√15 + 2) / 6

From the above, we know sin(a) = √5/3 and cos(b) = -√3/2. Then

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

… = (-2/3) (-√3/2) - (√5/3) (1/2)

… = √3/3 - √5/6

… = (2√3 - √5) / 6

and so it follows that

tan(a + b) = sin(a + b) / cos(a + b)

… = (-(√15 + 2) / 6) / ((2√3 - √5) / 6)

… = - (√15 + 2) / (2√3 - √5)

… = - (√15 + 2) (2√3 + √5) / ((2√3 - √5) (2√3 + √5))

… = - (2√45 + 4√3 + √75 + 2√5) / (12 - 5)

… = - (6√5 + 4√3 + 5√3 + 2√5) / 7

… = - (8√5 + 9√3) / 7

Answer:

80%, 41/50, 0.83

Step-by-step explanation:

80% = 0.80

41/50 = 0.82

0.83 = 0.83

Answer:

3

Step-by-step explanation:

We can use the Pythagorean thorem to solve this question

leg = [tex]\sqrt{hypotenuse^2 - leg^2} = \sqrt{(3\sqrt{5})^2 - 6^2} = \sqrt{45 -36} = \sqrt{9} = 3[/tex]

Answer:

Their present ages are:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

After 12 years:

Finding their present ages:

According to the question.

⇒ 3x + 12 = 2(x + 12)

⇒ 3x + 12 = 2x + 24

⇒ 3x - 2x = 24 - 12

⇒ x = 12

Their present ages:

Answer:

A

Step-by-step explanation:

Edge

The option A, O minimum value = 1; maximum value = 6 is correct.

We have given that,

Using the extreme value theorem, what are the minimum and maximum values of f(x).

Extreme Value Theorem An important application of critical points is in determining possible maximum and minimum values of a function on certain intervals.

Therefore, The option A, O minimum value = 1; maximum value = 6 is correct.

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Answer:

20.32$

Step-by-step explanation:

25.40×.20 = 5.08

25.40- 5.08 = 20.32

so the answer would be 20.32$

Answer:

18%

Step-by-step explanation:

Hope this helps :))

Answer:

the answer is 18%

hope this helps

Answer:

20 adults and 10 children

Step-by-step explanation:

We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.

Answer:

10 children  20 adults

Step-by-step explanation:

children = c

adult = 2c (double than children)

2(c) + 4(2c) = 100

10c = 100

c = 10     10 children

30-10 = 20   20 adults

$2(10) = $20

$4(20) = $80

$20+$80 = $100