find the measure of TDC

In the words that your describing it, I supposed we are talking about the pythagorean theorem

What is the formula for the theorem?

a^2+b^2= C^2

A being the height

B being the Bottom

C being the slant or hypotenuse

How to Solve?

Well supposed 9 is a and 6 is b

[tex]9^{2}[/tex]+[tex]6^{2}[/tex]=[tex]c^{2}[/tex]

9 squared is 81 and 6 squared is 36

81+36= 117

So, 117=[tex]c^{2}[/tex]

Which means [tex]\sqrt{117}[/tex] is the answer or 10.8

Hope this helped!

Answer:

1st one is b.  2nd one is A

Step-by-step explanation:

i did the quiz

The solution to the equation as it is given in (8) above is -21.

According to the subtraction property of equality, If you subtract the same number from both sides of an equation, the equation remains true.

Also by the multiplication  property of equality,  If you multiply both sides of an equation by the same number (except zero), the equation remains true.  These can be used to solve the question in (7) above

Given;

280 = -8(-14 + x)

280 = 112 - 8x

280 - 112 = -8x

x = -21

Learn more about equality:https://brainly.com/question/15721307

#SPJ1

The wingspan (in feet) of the actual airplane is equal to 87.5 feet.

A property of equality which you would use to solve the equation -15 = x/3 + 18 is: D. Subtraction property of equality and multiplication of equality.

The solution of the equation 280 = -8(-14 + x) is: B. x = -21.

Based on the scale model, we can logically deduce that the airplane has a length of 12.2 inches and a wingspan of 12.5 inches. This ultimately implies that, we would convert from inches to feet as follows;

1 inch = 1/12 feet

12.2 inches = 12.2 × 1/12 = 12.2/12 feet.

Therefore, the scaled factor is given by;

Scale factor = (85.4 × 12/12.2)

For the actual length of the wingspan with a scaled length of 12.5 inches, we have:

12.5 inches = 12.5/12 feet

Actual length of wingspan = 12.5/12 × (85.4 × 12/12.2)

Actual length of wingspan = 87.5 feet.

-15 = x/3 + 18

x/3 = -15 - 18 ⇒ (Subtraction property of equality)

x/3 = -33

x = 3(-33) ⇒ (Multiplication property of equality)

x = -99

280 = -8(-14 + x)

280 = 112 - 8x

8x = 112 - 280

x = -168/8

x = -21

Read more on scaled factor here: https://brainly.com/question/28438179

#SPJ1

a) An equation representing Christina's investment's value, y, after x years is y = 10,000(1.05)^x.

b) Using the above equation, Christina's investment will be worth a future value of $26,532.98 after 20 years.

The principal = $10,000

Annual compound interest rate = 5%

The investment period = 20 years

Let the value of the investment after x years = y

Let the number of investment periods = x

y = 10,000(1.05)^20

= $26,532.98

Online finance calculator, the future value is determined as follows:

N (# of periods) = 20 years

I/Y (Interest per year) = 5%

PV (Present Value) = $10,000

PMT (Periodic Payment) = $0

Results:

FV = $26,532.98

Total Interest = $16,532.98

Learn more about the future value at https://brainly.com/question/24703884.

#SPJ1

The investment compounds at a 5% interest rate yearly.

The student is correct because we can factorize x² - x - 56 to get (x - 8)(x + 7).

How to Factorize an Expression?

In order to determine if -56 is the integer that can replace the box in the expression, we can try to factorize the expression and see if it works.

Factorize x² - x - 56 using the sum-product pattern:

x² - x - 56

Take out the common factors from each pair:

(x² + 7x) - (8x - 56)

x(x + 7) -8(x + 7)

Rewrite in factored form:

(x - 8)(x + 7)

Thus, this shows that the student is correct.

Learn more about the factorization on:

https://brainly.com/question/22048677

#SPJ1

There are numerous concepts in algebra 2 that can be applied in real life scenarios. Some of which are linear equations and quadratic functions. The linear equation, for instance, helps to estimate that the cost i.e. of gas for a trip.

Linear equations can be used in real-life for calculating distances, rates and costs. For instance, during plan for a road trip, it can be used to estimate distance, time it takes to travel, estimated cost of gas etc.

An illustration is when one is planning a road trip from New York to Los Angeles. We can estimate that the distance between the two cities is 2,800 miles and car has average fuel efficiency of 25 miles per gallon.

If gas costs $3.50 per gallon, We can use the linear equation to get the cost of trip which is:

= Distance / Miles per gallon * Price per gallon

= 2,800 / 25 * 3.50

= $392.

Read more about algebra 2

brainly.com/question/17084403

#SPJ1

The approximate value of the median is 25

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

To find the median, calculate the value mean by adding together the middle values and dividing them by two.

Hence, the approximate value of the median is Median

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

What is the approximate value of the median?

A 18

B 20

C 25

D 27

The quadratic regression equation that best fits the data-set is given as follows:

y = 32.86x² - 379.14x + 1229.14.

To find the quadratic regression equation, we need to insert the points (x,y) into a quadratic regression calculator.

Considering the table in this problem, the points on the data-set are given as follows:

(3, 330), (4, 276), (5, 263), (6, 86), (7, 174), (8, 198), (9, 553).

Inserting these points into a calculator, the quadratic regression equation is given as follows:

y = 32.86x² - 379.14x + 1229.14.

More can be learned about quadratic functions at brainly.com/question/1214333

#SPJ1

Answer:

10miles I think

Step-by-step explanation:

The required distance between, Nate's house and the restaurant is 7.5 miles.

From the graph,

Consider point C on the graph, which is 6  and 8 units apart from A and B respectively.

The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units

Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles

Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

The simplified expression is 120x³ + 120x².

To simplify the expression 5x(2x+2)12x, we can use the distributive property of multiplication over addition and simplify the resulting terms.

First, we distribute 5x to the expression (2x+2), which gives us:

5x(2x+2) = 10x² + 10x

Next, we can multiply the result by 12x:

12x(10x² + 10x) = 120x³ + 120x²

Therefore, the simplified expression is 120x³ + 120x².

We can see that the original expression was a multiplication of three factors, and we used the distributive property to simplify it by expanding and multiplying the resulting terms. The final expression has a common factor of 120x², which we can factor out to get 120x²(x+1).

To know more about an expression follow

https://brainly.com/question/29099058

#SPJ1

Answer:

To find the probability that a person surveyed is under 40 given that he or she gets the news by reading the paper, we need to use Bayes' theorem:

P(Under 40 | Read paper) = P(Read paper | Under 40) * P(Under 40) / P(Read paper)

where

P(Under 40 | Read paper) is the probability that a person is under 40 given that he or she gets the news by reading the paper

P(Read paper | Under 40) is the probability that a person under 40 reads the paper (36/80)

P(Under 40) is the overall probability of selecting a person under 40 (40/80)

P(Read paper) is the overall probability of selecting a person who reads the paper, calculated as the sum of those who are under 40 and read the paper and those who are 40 or older and read the paper (36+24)/(80)

Plugging in the values, we get:

P(Under 40 | Read paper) = (36/80) * (40/80) / ((36+24)/80)

P(Under 40 | Read paper) = 0.6

So the probability that a person surveyed is under 40, given that he or she gets the news by reading the paper, is 60%.

The total at 0 id 100 hours and rate if increasing is 50 per hour.

From the given graph;

Let x represents the total hours

And y represents total pay

Then,

(a) When x = 0

Then from graph we have y = 100

So total pay is 100 dollars.

(b) When x = 1 then y = 150

Therefore,

Rate of increasing = (150-100)/(1-0) = 50

So it is increasing 50 per hour.

To learn more about rate of change of  any quantity visit:

https://brainly.com/question/28388759

#SPJ1

Answer:B

Step-by-step explanation:i did the quiz

The experimental design that will not result in a randomized sample is C.Using all students from sections 1 and 2 of a statistics course to constitute two samples

Random sampling  can be regarded as the part of the sampling technique whereby each of the sample that is been involved in the population will have an equal probability of being chosen.

It should be noted that in this , the sample is chosen randomly  which is  unbiased representation , and in the third option, we can see that all the population was using.

Learn more about Random sampling  at:

https://brainly.com/question/13219833

#SPJ1

The value of the expression 5z - 3z, when z is equal to 3, is 6.

Given the expression in the question:

Evaluating an expression simply means substituting the given value of a variable into the expression and simplifying the result.

Given the expression 5z - 3z, we are given the value of z as 3.

Hence, we substitute z with 3 in the expression:

5z - 3z

Plug in z = 3

5(3) - 3(3)

Simplifying further using the order of operations (multiplication before subtraction), we get:

15 - 9

= 6

Therefore, the value of the expression is 6.

Learn more about algebraic expressions here: brainly.com/question/4344214

#SPJ1

In total, Christian had 62 customers in the last week.

Answer:g=g(9)

Step-by-step explanation:

ΔPQR and ΔMNR are similar  and if  MN = 15 ft then the side length of QP is 52.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

ΔPQR and ΔMNR are similar are similar because both have the corresponding angles are congruent and the corresponding sides are in proportion .

If MN=15 feet we have to find QP

As sides are proportional

45/13=QP/15

Apply cross multiplication

45×15=13QP

675=13QP

Divide both sides by 13

QP=52

To learn more on similar triangles click:

https://brainly.com/question/25882965

#SPJ1

Answer: 4:42

Step-by-step explanation:

4:30 + 0:12 = 4:42

Answer:

Step-by-step explanation:

It is

4

√

12

=

4

√

3

⋅

4

=

4

⋅

2

⋅

√

3

=

8

√

3

The answer is : No, this time there is not a fixed number of trials,

Fixed Number of Trials (n): Established beforehand, the experiment consists of a specified set of trials or repetitions.

Binary Outcomes: Every trial possess just two feasible outcomes typically referred to as "success" and "failure."

Independent Trials: The result of a single trial will not affect the outcome of any subsequent trials.

Constant Success Probability (p): Per trial, the chances of success remain unchanging.

Taking into account the given circumstances, Ms. Lee intends on giving out another homework pass consequently, she will keep pulling names until concluding with a statistics student. She rearranges and shuffles the papers which contain the names in-between each trial.

Read more on binomial setting here:https://brainly.com/question/3611211

#SPJ1

The 99% confidence interval for the proportion of Americans who believe that the minimum wage should be raised is: 0.56 < P < 0.64

We are given:

Sample size: n = 1000

Sample proportion: p = 600/1000 = 0.6

Formula for confidence interval for proportion is:

CI = p ± z√(p(1 - p)/n)

where:

p is sample proportion

n is sample size

z is z-score at confidence level

z at 99% CL = 2.576

Thus:

CI = 0.6 ± 2.576√(0.6(1 - 0.6)/1000)

CI = 0.6 ± 0.04

CI = (0.56, 0.64)

CI = 0.56 < P < 0.64

Read more about Confidence Interval at: https://brainly.com/question/17097944

#SPJ1

The value of the angle y is 86 degrees

To determine the value of the variable, we need to take note of the properties of a parallelogram. They include;

Also, note that angles on a straight line is equal to 180 degrees.

From the information shown on the diagram, we have;

y + 94 = 180

collect the like terms

y = 180 - 94

Subtract the terms

y =86 degrees

Learn about parallelograms at: https://brainly.com/question/10744696

#SPJ1

Answer:

a₈₁ = - 482

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 2 and d = a₂ - a₁ = - 8 - (- 2) = - 8 + 2 = - 6 , then

a₈₁ = - 2 + (80 × - 6) = - 2 + (- 480) = - 2 - 480 = - 482

The checkbook balance is $5703.25.

To find the checkbook balance, we need to start with the original balance and then subtract the amounts of the checks written and add the amount of the deposit.

Original balance: $7349.44

Checks written: $1349.67 + $344.12 = $1693.79

Deposit: $956.60

To find the checkbook balance, we can subtract the total amount of the checks written from the original balance and then add the deposit:

Checkbook balance = Original balance - Checks written + Deposit

Checkbook balance = $7349.44 - $1693.79 + $956.60

Checkbook balance = $5703.25

Therefore, the checkbook balance after store manager deposited $956.60 is $5703.25.

To learn more about balance here:

https://brainly.com/question/29085827

#SPJ1

The correct box plot is

A box plot uses a number line from 7 to 46 with tick marks every one unit. The box extends from 22.5 to 33.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 40.

We have the data:

10, 14, 20, 25, 29, 30, 30, 31, 32, 35, 39, 40 .

So, First Quartile(Q1) = ((n + 1)/4)th Term.

= (12+1)/4

= 13/4

= 3.25 th term

=  (20+25)/2

= 22.5

and, Second Quartile or median (Q2) = ((n + 1)/2)th Term.

Q₂ = ((12 + 1)/2)th term

   = 6.5th term

   = 30

and, Third Quartile(Q3) = (3(n + 1)/4)th Term.

Q₃ =3 (3.25)

    = 9.75

   = 33.5

Learn more about box plot here:

brainly.com/question/12591498

#SPJ1

The requried probability that Luc gets both questions correct is 1/16 or approximately 0.0625.

The probability of guessing a single question correctly is 1/4, since there are 4 answer choices and only 1 is correct. Since the questions are independent, the probability of guessing both questions correctly is the product of the probability of guessing each question correctly.

Therefore, the probability that Luc gets both questions correct is:

P(both correct) = P(first correct) * P(second correct)

P(both correct) = (1/4) * (1/4)

P(both correct) = 1/16

Thus, the probability that Luc gets both questions correct is 1/16 or approximately 0.0625.

Learn more about probability here:

https://brainly.com/question/30034780
#SPJ1