Which of the following is correct based on this picture? A. tan D=31/24 B. sinD=31/24 C. cosK=31/24 D. tanK=31/24

Answer: 0.786

Step-by-step explanation:

Here i would assume that:

Sector R and Sector Q do not have any sections in common.

Then, the probability that the spinner does not land on Q or R, is equal to the probability where the spinner does not land in a specified section of:

38° + 39° = 77°.

Now, the total section off the spinner is 360°.

If we remove those 77°, we have a section of:

360° - 77° = 283°

So we have 283° where the spinner CAN land on.

Then the probability that the spinner does NOT land on R or Q is equal to the quotient between the section of the spinner that is not R or Q, and the total section of the spinner"

P = 283/360 = 0.786

So the probability is 0.786

Answer:

  B

Step-by-step explanation:

The square of 1 is 1, so 1 is less than the square root of 3.

The square of 2 is 4, so 2 is more than the square root of 3.

The point that lies between 1 and 2 is the best approximation of √3.

Answer:

B

Step-by-step explanation:

Answer:

Quotient.

Step-by-step explanation:

You get a quotient by dividing something. It is the end result, the solution.

Answer: quotient

Step-by-step explanation: The answer to a division

problem is called the quotient.

So here we say the quotient of 18/2 is 9.

Answer:

Angle DAB is 29°.

Step-by-step explanation:

The lines in the two angles show that they are equal.

So angle DAB is equal to angle CAD.

m∠DAB is 29°

Given:

m∠CAD = 29°

From the image given showing ΔABC, the two angles, ∠CAD and ∠DAB are congruent to each other. This is indicated in the diagram with each single stroke on each angle.

Congruent angles are equal to each other.

∠CAD and ∠DAB are congruent angles.

Thus,

m∠CAD = m∠DAB = 29°

Therefore, m∠DAB is 29°

Learn more about congruent angles here:

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Answer:

1,680

Step-by-step explanation:

If the population is increasing by 60 for the next 13 years, we must multiply 60 and 13 to get 780.

Then, we just add 780 to the original population to get 1,680!

The enrollment after 13 years will be 1680.

We have a whose school population is predicted to increase by 60 students per year for the next 13 years. Current enrollment in that school is 900 ​students.

We have to determine the enrollment be after 13 ​years.

Initial count = x

Count increasing per second = 5

Assume that the bacteria count after t seconds is y. Then -

y = x + 5t

for t = 30 ↔ y = 150 + x

According to question, we have -

Initial population P(i) = 900

Assume the population after the n years is P(n).

Number of students enrolled in 'n' years will be = 60n

Therefore, the following equation can be used -

P(n) = P(i) + 60n

For n = 13 years

P(13) = 900 + 60 x 13 = 900 + 780 = 1680

Hence, the enrollment after 13 years will be 1680.

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Answer:

Exact weight of quarters now in circulation in the United States  (continuous random variable )

Shoe sizes of humans (discrete random variable)

Political party affiliations of adults in the United States ( random variable)

Step-by-step explanation:

continuous random variable: this is a random experiment where the data usually assume an infinite mode. meaning it is continuous.

discrete random variable: this is the assigning of values based on the outcome of a radom experiment.

random variable: a random variable is a set of possible outcomes from a random experiment

Answer:

90 beats per minute

Step-by-step explanation:

320 divided by 4 is 90, which would mean that there is 90 beats per minute

Answer: the answer is 64 beats.

Step-by-step explanation:

Answer:

25 miles

Step-by-step explanation:

We need to convert 30 minutes to hours

30 minutes * 1 hour/ 60 minutes = .5 hours

distance = speed x time

distance = 50 mph * .5 hours

             = 25 miles

Answer:

$ 79600

Step-by-step explanation:

interest=prt   (p is the amount borrowed, r is the rate, t is the time)

p=60000 , r=8%=0.08  , t=4 years

interest=60000*0.08*4

A=19600

the amount paid at the end of 4 years: 60000+19600=$79600

Answer:         X

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

–7x > 21

divide each side by -7, remembering to flip the inequality

-7x/-7 < 21/-7

x < -3

open circle at -3, line going to the left

Answer:

7-48=41

÷

5+11-8

bodmas

5+3=8

41÷8=5.125

Answer:

-1

Step-by-step explanation:

48/(5+(11-8) -7

48/(5+3) -7

48/8 -7

6-7

-1

i hope it helped you. i tried you help you

The Rational numbers ( Q ) include the Natural numbers ( N ):

A natural number is always a rational number.

:)

Answer:

-9

Step-by-step explanation:

Two negatives when adding them together make a negative.

Answer:

(-5)+(-4) = -9

Step-by-step explanation:

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

<------------

Answer:

$6.36

Step-by-step explanation:

this is a system of equations problem. There are two main methods for this type of problem: elimination and substitution(I used both here). A-croissants, B-coffee.

The cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.

We need to form the system of equations for the given statement.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let the cost of croissants be x and the cost of cups of coffee be y.

6 croissants and 3 cups of coffee costs $25.95

6x+3y=25.95-----(1)

1 croissant and 6 cups of coffee cost $26.70

x+6y=26.70-----(2)

(6x+3y)6=25.95×6

⇒36x+18y=155.7-----(3)

(x+6y)3=26.70×3

⇒3x+18y=80.1-----(4)

Subtract (4) from (3).

That is, 36x+18y-(3x+18y)=155.7-80.1

⇒33x=75.6

⇒x=2.3

Substitute x=2.3 in equation (1).

That is, 6(2.3)+3y=25.95

⇒3y=12.15

⇒y=4.05

Therefore, the cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.

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Answer: C.) The total number of stamps is 35.

Step-by-step explanation:

Given the table :

No of 45-cent stamp - - - No of 65-cent stamp

- - - - - - - 18 - - - - - - - - - - - - - - 17

- - - - - - - 20 - - - - - - - - - - - - - - - 15

- - - - - - 22 - - - - - - - - - - - - - - 13

- - - - - - 10 - - - - - - - - - - - - - - - - 25

Verifying each option stated :

Total value of stamp:

Each row add up to 35. Example (18 + 17) = 35

(20 + 15) = 35

(22 + 13) =35

(10 + 25) = 35

Total value of stamp:

Using the first row:

45 cent = $0.45 ; 65 cent = $0.65

(10 * 0.45) + (25 * 0.65)

= $4.5 + $16.25 = $20.75

Not all rows add up to $19.15

Answer:

Your answer is C

Step-by-step explanation:

Answer:

-216

Step-by-step explanation:

6*9= 54

54* (-4) = -216

Answer: 194

Step-by-step explanation:

1. Square both sides to get (b+2)=14^2=196

2. Subtract 2 from both sides to get b=194

Hello! :)

Answer:

[tex]\huge\boxed{3\frac{1}{2}}[/tex]

[tex]\frac{7}{2}[/tex] as a mixed number:

Divide 2 from 7 and find the remainder:

7 ÷ 2 = 3 R 1.

An improper fraction in mixed form has the quotient as the coefficient, and the remainder over the fraction. Therefore:

[tex]\frac{7}{2} = 3\frac{1}{2}[/tex]

Answer:

[tex]3\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1: Define mixed fraction

A mixed fraction is a number with a whole number and a fraction together

Step 2: Find mixed fraction

Ask how many time can 2 completely fit into 7 without leaving anything left over, 2 fits in 7 3 times because 2 x 3 = 6 and 7 - 6 is 1.  We put 3 in front of the fraction and we keep the 1 left over in the numerator of the fraction with 2 as the denominator to get [tex]3\frac{1}{2}[/tex]

If [tex]x=0[/tex], then [tex]y=a\cdot0^2+b\cdot0+c=5[/tex], so [tex]c=5[/tex].

If [tex]x=1[/tex], then [tex]y=a\cdot1^2+b\cdot1+c=2[/tex], so [tex]a+b+5=2[/tex] or [tex]a+b=-3[/tex].

If [tex]x=2[/tex], then [tex]y=a\cdot2^2+b\cdot2+c=1[/tex], so [tex]4a+2b+5=1[/tex] or [tex]2a+b=-2[/tex].

We have

[tex]a+b=-3\implies -a-b=3[/tex]

[tex](2a+b)+(-a-b)=-2+3[/tex]

[tex]\implies a=1\implies b=-4[/tex]

So we end up with

[tex]a+b+c=1+(-4)+5=\boxed{2}[/tex]

Answer:

$32,000 was the profit last year.

Step-by-step explanation:

Answer:

The answer is 32000 profit

Step-by-step explanation:

I just did quiz hope it helps :)

Answer:

(-1, -3), (-2, -5), (-5, -8),(-8, -5), (-9, -3)

Step-by-step explanation:

These are the options of points to pic from. :)

have a good day.

Answer:

Answer:

72°

Step-by-step explanation:

Start by putting the information you’re given into an equation. The angle measure is 4 times the compliment so it has the measure 4x.

Complementary angles are two angels with a sum of 90°.

So our equation will be 4x + x = 90

Add your like terms to get 5x = 90

Divide 90 by 5 to get x by itself.

X = 18

Since the angle we’re trying to find is 4 times the compliment you’re going to multiply 18 by 4 which will give you your answer of 72°

Answer:

2 real roots

Step-by-step explanation:

If the discriminant is >0 then the equation has 2 real roots

If the discriminant is =0 then the equation has 1 real roots

If the discriminant is <0 then the equation has 2 complex roots

since the discriminant is 4, it has 2 real roots

Answer:

It will have 2 real roots

Step-by-step explanation:

4>0 :)

The equations

[tex]x = r*\cos(\theta)\\\\y = r*\sin(\theta)[/tex]

are useful to convert from polar to Cartesian

So,

[tex]x = r*\cos(\theta)\\\\x = r*\cos\left(\frac{\pi}{3}\right)\\\\x = r*\frac{1}{2} \ \text{ use unit circle} \\\\x = \frac{1}{2}r[/tex]

Answer:

To make sure that you get a straight line to bisect the line segment

Step-by-step explanation:

Answer:

The last option.

Step-by-step explanation:

You get a straight line that passes through the midpoint.

Answer: 36

Step-by-step explanation:

The top and bottom of the parallelogram both have lengths of 8.

To determine the length of the parallel diagonal sides, form a right triangle using the left side of the parallelogram as its hypotenuse (in red in my diagram below).

The right triangle has legs of length 6 and 8, so the length of the hypotenuse (c) is:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

c = 10

Thus the two diagonal sides of the parallelogram must both have a length of 10, so the perimeter of the parallelogram is 8 + 10 + 8 + 10 = 36.

Answer: It is rational because it can be converted to a fraction since it terminates.

Step-by-step explanation:

As

0.692 is rational because it can be a fraction; 173/250 or 692/1,000

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