Homework 2: Special Right Triangles Questions 16-24


I’ll give brainliest!

Answer: First 12/8, then 3/2

Step-by-step explanation: 3/2.

If you want the mixed fraction, it would be 1 1/2.

4 times 3 is 12... 12/8

1 whole box (8/8)

So 12/8-8/8=4/8 left

1 whole and 1/2

Answer:

C

Step-by-step explanation:

Split

15

into two angles where the values of the six trigonometric functions are known.

The result can be shown in multiple forms.

Exact Form:

2−√3

The exact value of tan 15° is,

⇒ tan 15° =  - (2 - √3)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find the exact value of tan 15°.

Now, We can formulate;

tan 15° = tan (45 - 30)°

          = tan 45° - tan30° / (1 + tan45° tan30°)

          = (1 - √3) / (1 + √3)

          = (1 - √3) (1 - √3) / (1 + √3) (1 - √3)

          = (1 + 3 - 2√3) / (1² - √3²)

          = (4 - 2√3) / (1 - 3)

          = 2 (2 - √3) / - 2

          = - (2 - √3)

Thus, The exact value of tan 15° is,

⇒ tan 15° =  - (2 - √3)

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Answer:

C. =

Step-by-step explanation:

Two ways to think about this problem:

1st way: 100% and 1 are all a whole, therefore, they are equal.

2nd way: 1=1/1. Multiply the denominator and the numerator by 100, 1/1=100/100=100%

9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.

Answer:

27/4

Step-by-step explanation:

Multiply both sides by 9/(-4).

9/−4 * −4/9 f = 9/−4 * −3

f = 27/4

Answer:

My best guess is D she can make 4 dozen cokies

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is B because  for number A 1+1 =2 2>1.75.  B= 1.5<175, c= 0.5 <1, d. 2>1.75

Answer:

here i gotchu mate:)

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted down  

3

units

Answer:

About 4 days

Step-by-step explanation:

Convert 39 and 42 degrees C to a z score and then use the z-table

The number of days in June when the midday temperature was between 39°C and 42°C is equal to 4.0 days.

Given the following data:

Mean midday temperature = 36°C.

Standard deviation = 3°C.

In order to determine the number of days in June when the midday temperature was between 39°C and 42°C, we would determine the z-score as follows:

Let the midday temperature be M.

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

Evaluating, we have:

P(M < 39) = P(Z < [39 -36/3])

P(M < 39) = P(Z < [3/3])

P(M < 39) = P(Z < 1).

P(M < 39) = 0.84134.

P(M < 42) = P(Z < [42 -36/3])

P(M < 42) = P(Z < [6/3])

P(M < 42) = P(Z < 2)

P(M < 42) = 0.02275.

Substituting the parameters into the formula, we have;

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

P(39 < M < 42) = 1 - [0.84134 + 0.02275]

P(39 < M < 42) = 1 - 0.86409

P(39 < M < 42) = 0.13591‬.

Now, we can determine the number of days in June when the midday temperature was between 39°C and 42°C:

No. of days = 0.13591 × 30

No. of days = 4.0 days.

Note: There are 30 days in the month of June.

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Answer:

The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{31}{\sqrt{16}} = 16.5[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 645 - 16.5 = 628.5 days

The upper end of the interval is the sample mean added to M. So it is 645 + 16.5 = 661.5 days

The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.

Answer:

uhm- ok ok ok level hard o my gosh

Answer:

it would be

B. y + 5 = 2(x + 6)

if there is a negative number and you are subtracting it turns positive

Step-by-step explanation:

Answer:

$15.50

Step-by-step explanation:

Answer:    6

Step-by-step explanation:

x^2+y^2+x-y

Put x=-1 and y=1

(-1)^2+(3)^2+(-1)-(3)

1+9-1-3

10-4

6

9514 1404 393

Answer:

Step-by-step explanation:

It is useful to remember the form for the square of a binomial.

  (a +b)² = a² +2ab +b²

  (a -b)² = a² -2ab +b²

__

1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3

  = 28 +10√3

__

2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75

  = 81 -30√2

__

3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18

  = 54 +36√2

Answer:

I am pretty sure the anwser is 7

Answer:

The median is 7.

Step-by-step explanation:

The median is 7 because, in a box plot, the line inside of the box is the median. That line is over 7 on the number line.

(-10) + 3 = -(10 - 3) = -7

10 - 3 = 7

-7 ≠ 7

FALSE

Answer:

perimeter of trapezium =sum of all sides

perimeter of trapezium =10cm+6cm+12cm+8cm

perimeter of trapezium =36cm

perimeter of semicircle =pi×r

perimeter of semicircle =3.14×6cm

perimeter of semicircle =18.84cm

perimeter of the figure =36cm+18.84cm=54.84cm

Answer:

r = 47

Step-by-step explanation:

r - 38 = 9

r- 38 + 38 = 9 + 38

simplify

r = 47

Answer:

[tex]r=47[/tex]

Step-by-step explanation:

[tex]r-38=9[/tex]

Add 38 to both sides of the equation:

[tex]r-38+38=9+38\\r=47[/tex]

r = 47 is your final answer.

Answer:

Subscribe Single-3 FF on yt

Answer:

she will not have enough money

she will have 23 more to save

Step-by-step explanation:

got it right on plato

Answer:

If the bike costs $150, Carla will

not have

enough money to buy the bike before the start of summer.

Carla will have

$23

more to save

.

Step-by-step explanation:

Answer:

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean output of 429 watts with a standard deviation of 10 watts.

This means that [tex]\mu = 429, \sigma = 10[/tex]

Sample of 76:

This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]

What is the probability that the mean amplifier output would be greater than 432.1 watts?

This is 1 subtracted by the pvalue of Z when X = 432.1. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{432.1 - 429}{1.147}[/tex]

[tex]Z = 2.7[/tex]

[tex]Z = 2.7[/tex] has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Answer:

8units²

Step-by-step explanation:

area of trapezoid=½(a+b)*h

a=2

b=6

h=2

area of trapezoid=½(2+6)*2

area of trapezoid=½(8)*2

area of trapezoid=4*2

=8units²

Answer:

A = $56025

Step-by-step explanation:

Given that,

An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%  per year.

Principal, P = 45,000

Rate of interest, R = 3.5%

We need to find the total amount the investor will receive when the loan is  repaid after 7 years.

The formula for the simple is given by :

[tex]I=\dfrac{PRT}{100}\\\\=\dfrac{45000\times 3.5\times 7}{100}\\\\=\$ 11025[/tex]

We know that,

Amount = Principal + simple interest

So,

A = 45,000 + 11025

A = $56025

So, the required amount is equal to $56025.

Answer:

10:35 is the ratio

Step-by-step explanation:

2 x 5 = 10

7 x 5 = 35

Answer:

2./10

Step-by-step explanation:

It's simply by finding the square root of its area which is √40 giving 6.325 for an answer

If simplified by dividing each side with 3 then the answer would be 2./10