A bag has 3 red marbles and 12 blue marbles. Half of the blue marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a blue, plastic marble?

Step-by-step explanation:

Feel free to ask for more help. I love Linear Algebra

Answer:

[tex]m\angle B\approx 80.27^\circ\text{ and } m\angle C\approx 59.73^\circ[/tex]

Side AB measures approximately 20.15 units.

Step-by-step explanation:

We can use the Law of Sines, given by:

[tex]\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}[/tex]

Since we already know ∠A and a, we can use it to determine our other measures.

We know that b is 23. Substitute:

[tex]\displaystyle \frac{\sin 40^\circ}{15}=\frac{\sin B}{23}[/tex]

Solve for ∠B:

[tex]\displaystyle \sin B=\frac{23\sin 40^\circ}{15}[/tex]

We can take the inverse sine of both sides:

[tex]\displaystyle m\angle B=\sin^{-1}\frac{23\sin 40^\circ}{15}[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]m\angle B\approx 80.27^\circ[/tex]

The interior angles of a triangle must total 180°. Hence:

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

Substitute in known values:

[tex](40^\circ)+(80.27^\circ)+m\angle C=180^\circ[/tex]

Therefore:

[tex]m\angle C\approx 59.73^\circ[/tex]

Lastly, to find AB or c, we can use the Law of Cosines:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

a = 15, b = 23, and to prevent rounding errors, we will use the exact value for C. Recall that we know that:

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

Using the exact value for ∠B, we acquire:

[tex]40^\circ+\displaystyle \sin^{-1}\frac{23\sin40^\circ}{15}+m\angle C=180^\circ[/tex]

Therefore:

[tex]\displaystyle m\angle C=\left(140-\sin^{-1}\frac{23\sin40}{15}\right)^\circ[/tex]

Substitute:

[tex]\displaystyle c^2=(15)^2+(23)^2-2(15)(23)\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)[/tex]

Simplify and take the square root of both sides.

[tex]\displaystyle c=\sqrt{754-690\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)}[/tex]

And use a calculator:

[tex]c\approx 20.15[/tex]

Answer:

Hi! The person above is actually correct, just that it needed to be rounded to the nearest tenth. Check the picture for confirmation. Hope this helped <3

Step-by-step explanation:

The measure of angle B is approximately

80.3

The measure of angle C is approximately

59.7

The length of side AB is approximately

20.2

I got it correct on Edmentum/Plato

9514 1404 393

Answer:

  y = -x +3

Step-by-step explanation:

The point-slope form can be a useful place to start.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

You require the line ...

  y -(-4) = -1(x -7)

  y = -x +7 -4 . . . . . . . . eliminate parentheses, add -4

  y = -x +3 . . . . . . . . . slope-intercept form

Answer:

c may bbethe most accurate one l m 55% sure

Answer:

Its c fs :)

Step-by-step explanation:

Its c because x should be the exponent gl and hope this helps :)

Answer:

so lets just rewrite it with A=-3 amd B=-2

(-9^4^-9^2^5)^2

which is equal to... 1!

Hope This Helps!!!

Answer:

1

Step-by-step explanation:

took the test

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

Which term is defined as a fee charged for the use of money?

[tex]\sf\purple{a.\:interest}[/tex] ✔

b. down payment

C. principal

d. default

Explanation:

Interest is defined as a fee charge for the use of money.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]

Answer:

The answer is 18, I think.

Step-by-step explanation:

-9 times -2 = 18

18 divided by -9 = -2

Answer:

x=2/3

Step-by-step explanation:

Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.

-3x+4=2

-3x=-2

3x=2

x=2/3

Answer: 45.825353255

Step-by-step explanation:

Answer:

x = 17/4 = 4.250

x = 11/2 = 5.500

Step-by-step explanation:

Answer:

A) The x-intercepts

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

-5 • (-4) = 20, and multiplying negatives make it positive.

Answer:

-5 × - 4 = 20

since, (-) × (-) = (+)

5 × 4 = 20

therefore,

= +20

Answer:

(2.4, -1)

Step-by-step explanation:

Using midpoint formula plug in the info (x1+x2)/2, (y1+y2)/2

Answer:

5-2y (the last option)

hope this helps!

please give brainiest<3

Answer:

2y-5

Step-by-step explanation:

Answer: 16

Step-by-step explanation: 27-11=16

Answer:

16

Step-by-step explanation:

b-c

=27-11

=16

I hope this is helpful :)

Answer:

8 days

Step-by-step explanation:

Let us represent the number of days as x

For Tina

Tina currently has $60 and is earning $4 a day dog walking.

= $60 + $4 × x

= 60 + 4x

For Tony

Tony has $68 and is spending 3$ a day on candy!

= $68 + $3 × x

= 68 + 3x

To calculate the number of days that they will both have the same amount of candy we equate both equations to each other

60 + 4x = 68 + 3x

Collect like terms

4x - 3x = 68 - 60

x = 8 days

Therefore, they will both have the same amount of candy in 8 days

Answer:

Step-by-step explanation:

For the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.

Relative frequency of an event is the measure of something happens relative to the total outcomes of that event.

The relative frequency can be given as,

[tex]f_r=\dfrac{f}{n}[/tex]

Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.

The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.

Martin collected data from students about whether they played a musical instrument.

The table shows his results.

Here, the total number of boys are 92 and the total number of boys who play instrument is 32. Thus, the relative frequency is,

[tex]f_r=\dfrac{32}{92}\\f_r=0.348[/tex]

Thus, for the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.

Learn more about the relative frequency here;

https://brainly.com/question/3857836

#SPJ2

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

Answer:

This sign ≤ means greater than or equal to

but, this sign < means the number which is in the side is only greater

That why the sign ≤ is used

My this answer might be wrong , because in b ≤ 45 , I am confused from where the letter " b " came from .

Reason: Any two perpendicular lines will have their slopes multiply to -1, where neither line is vertical.

The given line has slope -1/4 and the perpendicular slope is 4

(-1/4)*4 = -1

Put another way: the answer is 4 because it's the negative reciprocal of -1/4.

Answer:

9

Step-by-step explanation:

3 times 3 is 9

hope that helps bby<3

Answer: [tex]10.72\ cm[/tex]

Step-by-step explanation:

Given

Radius of circle [tex]r=14\ cm[/tex]

Length of chord is [tex]l=18\ cm[/tex]

Suppose the distance between the chord and center is x

From figure, we can write

[tex]\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm[/tex]

How much turkey is in the pie?

The mass of the turkey in the pie is 1/4 of the weight of the chicken

200/4 = 50 grams

Answer:

$1.1

Step-by-step explanation:

In a state with a sales tax rate of 6%,

Alex bought paper for his printer for

$17.99.

The amount of his sales tax to the nearest penny is calculated as:

Sales tax rate × Cost of Paper for his printer

Sales tax = 6% × $17.99

= 6/100 × $17.99

=$ 1.0794

Approximately≈ $1.1

Answer:

I think it's 7.93725

I'm not sure if I did this correctly

Answer:

6.8 x 10*6

Step-by-step explanation:

Answer:

hey im sorry for using this, but there's nothing else. which one was right???/ im stuck

Step-by-step explanation:

Class mark : 37-41

Independant variable is the classes