What’s the correct answer for this? Select all the ones that apply

The triangle is missing, so i have attached it.

Answer:

1)sin(α) = 4/7

2)cos(β) = 4/7

3)tan(α) = 4/√33

4)cot(β) = 4/√33

5)sec(α) = 7/√33

6)csc(β) = 7/√33

Step-by-step explanation:

(1) sin(α)

From trigonometric ratios, we know that sine of an angle in a right angle triangle = opposite/hypotenuse.

Now, in this question, the opposite side to α is 4 and the hypotenuse is 7. Thus, sin(α) = 4/7

2) cos(β)

Cosine of an angle = adjacent side/hypotenuse.

In the question, the adjacent side to the angle β is 4 and the hypotenuse is 7. Thus, cos(β) = 4/7

3)tan(α)

tan of an angle = opposite/adjacent side. The opposite side to α is 4, but the adjacent side is unknown.

Using the pythagoras theorem,

Adjacent side = √(7² - 4²)

Adjacent side = √(49 - 16)

Adjacent side = √33.

Thus, tan(α) = 4/√33

4) cot(β)

cot of an angle is the reciprocal of tangent of same angle.

The adjacent side to β is 4 while the opposite is √33.

So, tan(β) = (√33)/4

cot(β) = 1/tan(β)

cot(β) = 1/[(√33)/4]

cot(β) = 4/√33

5)sec(α)

sec of an angle is equal to one divided by cosine of that same angle, so it equals hypotenuse divided by the adjacent. The hypotenuse is 7 and the adjacent side to α is √33.

Thus, sec(α) = 1/cosα = 7/√33.

6) csc(β)

Csc of an angle is equal to one divided by sine of same angle, so it equals hypotenuses divided by the opposite. The hypotenuse is 7 and the opposite side to β is √33.

Thus, csc(β) = 1/sin(β) = 7/√33

Answer:

[tex] - \frac{4}{5} [/tex]

Step-by-step explanation:

Line is passing through the points R (0, 4), S (5, 0)

[tex]Slope \: of \: RS \\ = \frac{4 - 0}{0 - 5} \\ \\ = \frac{4}{ - 5} \\ \\ = - \frac{4}{5} [/tex]

Answer:

x = 1 and y = 1

Step-by-step explanation:

7(1) minus 3(1) = 4

and 2(1) minus 1 = 1

just try and guess a number and try to solve the problem with that number, if it isn't the answer then repeat.

Answer: Use the app: photomath

Step-by-step explanation:

Answer:

(-2,5)

Step-by-step explanation:

A reflection across the y axis (x,y)→(−x,y)

Point A is at (2,5) so it becomes (-2,5)

Answer:

(-2,5)

a reflection across the y axis causes for it to basically be reversed along the y axis. meaning if it is at (2,5) then it will be (-2,5)

Answer:

  D. g(x) = f(x) - 5

Step-by-step explanation:

To move the intercept to -2, one needs to translate the function down by 5 or left by 5. The first translation (down 5) would result in ...

  g(x) = f(x) - 5 . . . . . . matches choice D

The second translation (left 5) would result in ...

  g(x) = f(x+5) . . . . doesn't match any available choice

Answer: g(x) = f(x) - 5

Step-by-step explanation:

just took this

Answer:

The retained earnings decreased by $1,020,600

Step-by-step explanation:

Given that Rayan Company has 420,000 shares of $ 10 par. Rayan then declared a 5% share dividend when the market price of the shares was $36 per share.

Let's calculate the shares issued as stock dividends below:

Issued shares = stock dividends * outstanding shares

= 5% * 420,000

= 21,000

21,000 shares were issued.

Let's calculate the stock dividends.

Stock dividends = issued shares * market price per share

= 21,000 * $36

= $756,000

Stock dividends is $756,000

Let's calculate the amount of cash dividends, since the company declared a $0.60 per share cash dividend after 3 months. We have:

Cash dividend = cash dividend per share * new number of shares.

= $0.60 * (420,000 + 21,000)

= $0.60 * 441,000

= $264,600

Cash dividends paid is $264,600

The find the decrease in retained earnings, we have:

Decrease in Retained earnings = cost of stock dividend + cash dividend.

= $756,000 + $264,600

= $1,020,600

Therefore, the retained earnings decreased by $1,020,600

Answer:

30°

Step-by-step explanation:

supplementary angles are two sets of angles whose sum form 180°

According to the problem, one set equals 5 times the other.

Let the other be x,

It means it's compliment is 5x;

It means therefore that ;

x + 5x = 180°

6x = 180°;

x = 180°/ 6 = 30°;

Therefore the angle measures 30° and it's supplement 150°.

Answer:

3 multiplied by a variable d and add seven to it

Step-by-step explanation:

3 multiplied by a variable d and add seven to it.

Answer:

the answer is letter B for ur question

Answer:

A. 44,130

B. 44,100

C. 44,000

Step-by-step explanation:

1-4 round down to 0 do not change the desired place value| 5-9 round the desired place value up by one.

Tens (10) Hundreds (100) Thousands (1000)

An outside angle is equal to the sum of the two opposite inside angles.

122 = x + 24

X = 122 - 24

X = 98 degrees

Answer:

w = 36

Step-by-step explanation:

You can make a ratio 98 : 84 = 42 : w

[tex]\frac{49}{42}=\frac{42}{w}[/tex]

49w = 1764

w = 36

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: pulse rate of a female adult. (beats/min)

Mean X[bar]= 74.0 beats/min

Standard deviation S= 12.5 beats/min

The lowest pulse rate is 36 beats/min

a)

The difference between the lowest pulse rate and the mean pulse for females is: 36 - 74= -38 beats/min

b)

To calculate how many standard deviations a value of the variable is from the mean, you have to subtract the mean from it and divide by the standard deviation:

(X-X[bar])/S= (36-74)/12.5= -3.04

The minimum pulse for female adults is -3.04 standard deviations away from the mean.

c)

The z score for 36 beats/min is -3.04

Considering the region of acceptance (-2; 2), the calculated value is below its lower limit, so you can conclude that the pulse rate 36 beats/min is significantly low.

I hope this helps!

Answer:

A   120 deg

Step-by-step explanation:

The sum of the measures of all angles of a circle is 360 deg.

m<HML + m<LMK + m<KMJ + m<JMH = 360 deg

m<HML = 80 deg

m<LMK = 125 deg

m<KMJ = 35 deg since it's the same measure as the measure of arc KJ.

m<HML + m<LMK + m<KMJ + m<JMH = 360 deg

Now we substitute the values we know.

m<80 deg + m<125 deg + 35 deg + m<JMH = 360 deg

240 deg + m<JMH = 360 deg

m<JMH = 120

Answer:I believe it's C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets calculate first for in state college

yearly tuition fees = $3,500

monthly living expense = $700

one year has 12 months so yearly living expense =$700 * 12 = $8,400

Yearly expense of the in state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400)   = $3,500 + $8,400  = $11,900

____________________________________________________

Lets calculate first for  out of state college

yearly tuition fees = $6,000

monthly living expense = $400

one year has 12 months so yearly living expense =$400 * 12 = $4,800

Yearly expense of the out of state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400)   = $6,000 + $4,800  = $10,800

____________________________________________________

Answer:

The product of [tex]\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}[/tex] is [tex]\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}[/tex].

Step-by-step explanation:

A matrix is a rectangular arrangement of numbers into rows and columns.

Matrix multiplication refers to the product of two matrices.

The main condition of matrix multiplication is that the number of columns of the 1st matrix must equal to the number of rows of the 2nd one.

To find the product of [tex]\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}[/tex]

[tex]\mathrm{Multiply\:the\:rows\:of\:the\:first\:matrix\:by\:the\:columns\:of\:the\:second\:matrix}\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=3\cdot \:4+\left(-5\right)\left(-4\right)\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=3\cdot \:2+\left(-5\right)\cdot \:2\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=1\cdot \:4+7\left(-4\right)\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=1\cdot \:2+7\cdot \:2[/tex]

[tex]\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}3\cdot \:4+\left(-5\right)\left(-4\right)&3\cdot \:2+\left(-5\right)\cdot \:2\\ 1\cdot \:4+7\left(-4\right)&1\cdot \:2+7\cdot \:2\end{pmatrix}[/tex]

[tex]\mathrm{Simplify\:each\:element}\\\\\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}[/tex]

Answer:

P(A∪B) = 1/3

Step-by-step explanation:

Red  Garments = 1 red shirt + 1 red hat  + 1 red pairs of pants

Total Red Garments = 3

Green Garments =  1 green shirt + 1 green scarf + 1 green pairs of pants

Total Green Garments = 3

The total number of garments =  Total Red Garments + Total Green Garments:

3 + 3 = 6

Let A be the event that he selects a green garment

P(A) = Number of required outcomes/Total number of possible outcomes

P(A) =  3/6

Let B be the  event that he chooses a scarf

P(B) = 1/6

The objective here is to determine P(A or B) = P(A∪B)

Using the  probability set notation theory:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)

= 3/6-1/6

= 2/6

P(A∪B) = 1/2 + 1/6 - 2/6

P(A∪B) = 2/6

P(A∪B) = 1/3

Answer:

in the khan academy answer is both A and B are dependent on each other.

Answer:

Speed of a= 21 miles/hr

r = Speed of b= 7 miles/hr

Speed of a = 3r

Step-by-step explanation:

The cyclist are 112 miles apart

Time traveled by two = 4 hours

Speed of a = 3 * speed of b

If a cylcles 3 times More than b, then a will cover 3*distance of b

But speed = distance/time

Time = 4hours

Total distance=112

a = 3b

3b + b = 112

4b = 112

b = 112/4

b = 28 miles

a = 3b

a = 3*28

a = 84 Miles

They bought traveled 4 hours

Speed of a = 84miles/4 hours

Speed of a= 21 miles/hr

Speed of b = 28miles/4 hours

Speed of b = 7 miles/hr

Answer:

1. M=108

2. μ=110

3. In the explanation.

4. Test statistic t = -1.05

5. P-value = 0.1597

Step-by-step explanation:

The question is incomplete: to solve this problem, we need the sample information: size, mean and standard deviation.

We will assume a sample size of 10 matches, a sample mean of 108 points and a sample standard deviation of 6 points.

1. The mean points is the sample points and has a value of 108 points.

2. The null hypothesis is H0: μ=110, meaning that the mean score is not significantly less from 110 points.

3. This is a hypothesis test for the population mean.

The claim is that the mean score is significantly less than 110.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=110\\\\H_a:\mu< 110[/tex]

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=108.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{10}}=1.9[/tex]

4. Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{108-110}{1.9}=\dfrac{-2}{1.9}=-1.05[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=10-1=9[/tex]

5. This test is a left-tailed test, with 9 degrees of freedom and t=-1.05, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-1.05)=0.1597[/tex]

As the P-value (0.1597) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean score is significantly less than 110.

Answer:

  7

Step-by-step explanation:

The arrows on the diagonal lines mean those lines are parallel. That means the triangles are similar, so corresponding sides have the same ratio.

There are many ways we can write the proportion expressing that fact. It is convenient to do so with the variable in the numerator:

  (3x -6)/12 = 10/8

Multiplying by 4, we have ...

  x -2 = 5

  x = 7 . . . . . . add 2

Answer:

b) 9

Step-by-step explanation:

9 squared + 40 squared = 41 squared, which follows Pythagorean theorem.

Answer:

take your time and always ask for help when needed

Step-by-step explanation:

Answer:

1.5b = 418 - 4n (all in dollars)

Step-by-step explanation:

Let b represent the number of candy bars sold and n the number of box of nuts sold.

Given that each;

Candy bar costs $1.50

box of nut $4.00

Amount raised from candy bars = $1.50 × b

Amount raised from box of nut = $4.00 × n

Total amount raised = $418

The equation for the total amount raised is;

1.50 × b + 4.00 × n = 418

1.5b + 4n = 418

The portion that came from candy bars is;

Making 1.5b the subject of formula;

1.5b = 418 - 4n

Step-by-step explanation:

V∝I

V=kI

36=k*8

k=36/8

k=4.5

a. V=4.5I

b. V=4.5*14

V= 63

c. 27=4.5I

I=27/4.5

I= 6

Answer:

Both Pitchers

Step-by-step explanation:

First, we determine how many of each pitcher it would take to fill the 300 liter and 180 liter containers.

300÷15=20 of the 15 liter pitcher

300÷20=15 of the 20 liter pitcher

Similarly

180÷15=12 of the 15 liter pitcher.

180÷20=9 of the 20 liter pitcher.

The two pitchers gives a whole number when their volumes divide the volumes of the containers.

Therefore, the two pitchers exactly fill the containers without milk being left over.

Answer:

nth term = dn + (a - d)   Where d is the difference between the terms, a is the first term and n is the term number.

Step-by-step explanation:

9*17 + (-6- 9)= 138

First find the common difference.

This can be found by subtracting the second term minus the

first term which in this case us 3 - (-6) or 3 + (+6) which is 9.

So we add 9 to reach the next term in this sequence.

Since this sequence isn't too long, continuing adding 9

until you reach the 17th term in this arithmetic sequence.

-6 ⇒ 1st term

3 ⇒ 2nd term

12 ⇒ 3rd term

21 ⇒ 4th term

30 ⇒ 5th term

39 ⇒ 6th term

48 ⇒ 7th term

57 ⇒ 8th term

66 ⇒ 9th term

75 ⇒ 10th term

84 ⇒ 11th term

93 ⇒ 12th term

102 ⇒ 13th term

111 ⇒ 14th term

120 ⇒ 15th term

129 ⇒ 16th term

138 ⇒ 17th term

By manually doing this, we found that our 17th term is 138.

Answer:

(16/9):1

Step-by-step explanation:

Answer:

68.29% probability that between 20 and 30 of these shoppers only review one page when searching online

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 100, p = 0.28[/tex]

So

[tex]\mu = E(X) = np = 100*0.28 = 28[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.28*0.72} = 4.49[/tex]

What is the probability that between 20 and 30 of these shoppers only review one page when searching online?

Using continuity correction, this is [tex]P(20 - 0.5 \leq X \leq 30 + 0.5) = P(19.5 \leq X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 19.5.

X = 30.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 28}{4.49}[/tex]

[tex]Z = 0.56[/tex]

[tex]Z = 0.56[/tex] has a pvalue of 0.7123.

X = 19.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19.5 - 28}{4.49}[/tex]

[tex]Z = -1.89[/tex]

[tex]Z = -1.89[/tex] has a pvalue of 0.0294

0.7123 - 0.0294 = 0.6829

68.29% probability that between 20 and 30 of these shoppers only review one page when searching online