T is the incenter of AQRS. Find QT (to the nearest tenth). R U 17 36% 55 W O​

T Is The Incenter Of AQRS. Find QT (to The Nearest Tenth). R U 17 36% 55 W O

Answers

Answer 1

The length of Mid segment QT is 57.56 units.

How Do You Find a Triangle's Incenter?

The incenter of a triangle can be discovered by drawing the triangle's angle bisectors and then locating the location of their intersection. This is possible with the aid of a compass.

The three line segments and the three lines that include those segments are equally spaced from the incenter and constitute each of the three sides of the triangle.

the single point where the three internal angle bisectors of a triangle meet and which also serves as the circumference of the circle around which it is inscribed.

The three line segments and the three lines that include those segments are equally spaced from the incenter and constitute each of the three sides of the triangle.  

ΔQUT is right triangle

QU = 55

UT= 17

Using Pythagoras Theorem

QT² = QU² + UT²

QT² = 55² + 17²

QT = √3314

QT = 57.56

Thus, The length of Mid segment QT is 57.56 units.

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Related Questions

For what positive integers $c$, with $c < 100$, does the following quadratic have rational roots?

\[ 3x^2 + 20x + c \]
If you find more than one, then list the values separated by commas.

Answers

Answer: A quadratic of the form $ax^2 + bx + c$ has rational roots if and only if its discriminant, $b^2 - 4ac$, is a perfect square. In this case, the discriminant is $(20)^2 - 4(3)(c) = 400 - 12c$. So, we need to find the positive integers $c < 100$ that make $12c$ a perfect square.

The perfect squares that are less than $100$ are $1,4,9,16,25,36,49,64,81$, so the possible values for $c$ are $33,44,55,66,77,88$.

So, the positive integers $c$, with $c < 100$, that make the quadratic have rational roots are $33,44,55,66,77,88$

Step-by-step explanation:

Write an expression to represent:
3 minus the product of 2 and x
.

Answers

Answer: 3 - 2x

Step-by-step explanation:

Product = Multiplication

Product of 2 and x = 2*x

3 minus 2x

3-2x

Answer:

3−2×x or 3-(2xx)

1. If m angle ABD = 60°, find m angle
BDC.

Answers

Answer:

If angle ABD = 60°, then angle BDC can be found using the fact that the measures of the angles in a triangle add up to 180°.

So, m(angle BDC) = 180 - (m(angle ABD) + m(angle BDA))

Therefore, m(angle BDC) = 180 - (60 + m(angle BDA))

So the measure of angle BDC is not fixed, it depends on the measure of angle BDA.

Simplify. Need ASAP. show work

Answers

The simplified expressions that we have are;

a) 2∛16 - 12

b) (-375)^1/3x^8/3y^8/3

What is simplification?

The term simplifications means that we have to write the expression is the easiest way that it can be written. In this case we have two expressions. We can be able to simplify them as we work through the steps that have been written below;

8) -2∛81 + 2∛16 - 2∛81

-4∛81 + 2∛16

-4(3) + 2∛16

2∛16 - 12

10) ∛-375x^8y^8

This simplifies to;

(-375)^1/3x^8/3y^8/3

This is the way that we can be able to simplify the expressions here.

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paula used these steps to solve an equation

Answers

We can conclude that the division property of equality was done between step 4 and step 5.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

The Division Property of Equality states that when both sides of an equation are divided by the same nonzero number, both sides remain equal.

That is, if a, b, and c are real numbers such that a = b and c ≠0, then  

a/c = b/c

At step 4: The equation was -6x = 57

To move to step 5, Paula had to divide both sides by the co-efficient of x (-6) in order to get the value of x. See below

-6x = 57

---- Divide both sides by -6 (Step 4)

-6x / -6  = 57 / -6

---- (Intermediary between step 4 and 5)

x = -9.5

----- Step 5

Hence, we can conclude that the division property of equality was done between step 4 and step 5

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Evaluate. Write your answer as a fraction in simplest form.

Answers

Answer: 16/81

Step-by-step explanation:


To do this you have to do 2^4 which is 16.
Next, you have to do 3^4 which is 81
This gives you 16/81.

Now check if you can simplify it.
You can't so this is your answer :D

I hope this was able to help you :D

Insurance cost is to be distributed among manufacturing, selling and administration in the ratio of 1/10 to 1/3 to 1/9. If the total cost was $12,005 how should it be distributed to these departments

Answers

Manufacturing should pay $2206.80, Selling should pay $7356.0and Administration should pay $2452.00

What is the distribution?

Generally, To find out how much each department should pay, you can use the proportion of the cost that corresponds to their respective ratio.

First, calculate the total ratio by adding the three ratios together:

1/10 + 1/3 + 1/9 = 0.544

Then, divide the total cost by the total ratio to find the unit cost:

$12,005 / 0.544 = $22068.01

Next, multiply the unit cost by the ratio for each department to find out how much they should pay:

Manufacturing: $22068.01 x 1/10 = $2206.80

Selling: $22068.01 x 1/3 = $7356.0

Administration: $22068.01 x 1/9 = $2452.00

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Hame:
Date:
Per.
3. The distance between Venice and Florence is 171 miles. It takes 2% hours
to travel from Venice to Florence by train. Write an equation that
represents the distance travelled, d, and the time, t.

Answers

The equation that relates velocity, distance and time is given as follows:

v = 171/2.

How to obtain the equation?

The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:

v = d/t.

In which:

v is the velocity.d is the distance.t is the time.

The parameters for this problem are given as follows:

d = 171, t = 2.

Hence the equation that gives the velocity in miles per hour is of:

v = 171/2.

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quantify the statement A(x) the square root of x raise to power 2 plus 4x plus 3 is a real number​

Answers

A polynomial equation of the second degree, or a quadratic, must contain at least one squared term to be considered a quadratic.

Which quadratic equation is the most fundamental?

Quadratic equations or quadratic functions. A polynomial equation of the second degree, or a quadratic, must contain at least one squared term to be considered a quadratic. Equations using quadratics is another name for it. The quadratic equation is expressed in its general form as ax2 + bx + c = 0.

For instance, 6x2 + 11x - 35 = 0, 2x2 - 4x - 2 = 0, 2x2 - 64 = 0, x2 - 16 = 0, x2 - 7x = 0, 2x2 + 8x = 0, etc. are examples of quadratic equations.

Three kinds of quadratics are frequently employed:

Standard Form: y = an x 2 + b x + c y = an x 2 + b x + c

y = a (x r 1, x r 2) is the factored form. y=a(x-r 1)(x-r 2) y=a(x−r1)(x−r2)

Vertex Formula: y=a (x h) 2 + k y=a (x-h)2 + k y=a (x-h) 2+k.

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Zachary measures the area of a glacier at
the start of every year.
2
At the start of this year, the glacier had an
area of exactly 56.20 km². This is 0.2%
less than it was at the start of last year.
Work out what the area of the glacier was
at the start of last year.
2
Give your answer in km² to 2 d.p.

Answers

The area of the glacier at the start of last year was 56.31 km², based on a percentage reduction of 0.2%.

What is a percentage decrease?

A percentage decrease represents the difference between the starting and ending values, expressed as a percentage of the starting value.

In working out the percentage reduction, we determine the difference between the ending and starting values.  This difference is divided by the starting value and multiplied by 100.

The current area of the glacier = 56.20 km²

The percentage reduction = 0.2%

Proportionately, the current area, in percentage terms = 99.8% (1 - 0.2%)

99.8% = 56.20 km²

100% = 56.31 km²

Thus, to 2 decimal points, the area of the glacier at the start of last year was 56.31 km².

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(A+7) (A+7) (A+7) (A+7)
Write the expression using exponential form

Answers

Answer:

(A+7)^4

Step-by-step explanation:

When the function f(x) is divided by 2x + 1, the quotient is x² - 8x + 8 and the
remainder is 5. Find the function f(x) and write the result in standard form.

Please help

Answers

The expression for the function f(x) in standard form if the function f(x) is divided by x-2 is f(x) = 3x³ + 2x² - 20x + 17.

What will be the function that when divided by 2x + 1, the quotient is x² - 8x + 8 and the remainder is 5?

The function that when divided by 2x + 1, the quotient is x² - 8x + 8 and the remainder is 5 is determined as follows:

f(x) = (2x + 1)(x² - 8x + 8) + 5

Simplifying the above gives the following:

f(x) = 2x³ - 16x² + 16x + x² - 8x + 8 + 5

f(x) = 3x³ - 15x² + 8x + 13

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14. Higher Order Thinking Lake Trail is 4 3/5ths miles long. Outlook Trail is 5 5/6ths miles long. Pinewoods Trail is 1 3/10ths miles longer than Lake Trail. Which trail is longer, Pinewoods Trail or Outlook Trail? Explain.
please help me :)​

Answers

The  Pinewoods Trail is longer than the Outlook Trail.

What are fractions?

The definition of a fraction is a portion of a whole. A single object or a collection of objects might be entire. When we cut a piece of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin.

Given the length of Lake Trail = 4 and 3/5 mile

length of Lake Trail = 23/5 miles

length of Outlook Trail = 5 and 5/6 mile

length of Outlook Trail = 35/6 miles

length of Pinewoods Trail = 1 and 3/10 miles longer than Lake Trail

length of Pinewoods Trail = 33/10 + 23/5

length of Pinewoods Trail = (33 + 46)/10

length of Pinewoods Trail = 79/10 miles

comparing the length of  Outlook Trail  and  Pinewoods Trail,

which is 35/6 and 79/10 miles respectively,

the common denominator for both is 30,

35/6 = (35*5)/(6*5)

35/6 = 175/30

and 79/10 = (79*3)/(10*3)

79/10 = 273/30

here 273/30 > 175/30

Hence  Pinewoods Trail is longer.

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Mr. Jones invested a sum of money in 6% bonds. He invested $400 more than this sum in 4% bonds. If his total annual income was $116, how much did he invest in each kind of bond?

Answers

a = amount invested at 6%

how much is 6% of "a"? (6/100) * "a", namely 0.06a.

b = amount invested at 4%

how much is 4% of "b"? (4/100) * "b", namely 0.04b.

we also know that the yielded amount in interest or the annual income he's got from both is $116, so if we simply add their interest, that'd be 0.06a + 0.04b = 116.

We also know that he invested 400 more in "b" than in "a", so whatever "a" might be, we know that b = a + 400.

[tex]0.06a~~ + ~~0.04(\stackrel{b}{a+400})~~ = ~~116\implies 0.06a+0.04a+16=116 \\\\\\ 0.10a+16=116\implies 0.10a=100\implies a=\cfrac{100}{0.10} \\\\\\ \boxed{a=1000}\hspace{5em}\stackrel{1000+400}{\boxed{b=1400}}[/tex]

please show solution thank you<3​

Answers

Answer: a

Explanation: 12+9+10=31
31+3x is answer a

The following loan is discounted. Find (a) the discount, (b) the amount of money received, and (c) the true interest rate. P=$13,300.0, r=3 1/2%, t=4 years

Answers

a) The discount on the loan is $1,862.

b) The amount of money the borrower received on the discount loan is $11,438.

c) The true interest rate paid on the discounted loan is 4.1%.

What is a discount loan?

A discount loan is a type of loan in which the interest (cost of borrowing) is deducted upfront or at the time the loan is granted.

The implication of getting a discount loan is that the amount received is less than the principal amount because the grantor has reduced it by interest and other fees (finance charges).

The principal = $13,300

Discount rate = 3¹/₂%

Time = 4 years

Discount = $1,862 ($13,300 x 3.5% x 4)

Amount received = $11,438 ($13,300 - $1,862)

Real interest rate = 4.1% ($1,862/$11,438 x 100)/4

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HELPPP PLEASEEE take your time , explanation please

Answers

Answer:

3 1/10 as a fraction

Step-by-step explanation:

3.3 as a fraction is 3 3/10. The first 3 is a whole number because it is to the left of the decimal point, and it represents 3 ''ones''. However, the second 3 to the right of the decimal point represents a decimal amount. Because this 3 is in the tenths place, we say it as ''3 tenths.

33 is repeating

PERCENT TO FRACTION

    When converting a percent in fraction form, you must know its place value of each number, and you can easily transform it to fraction.

EXAMPLE:

3.3% - the place value is ones. It is a whole number and called as three.

3.3% - the place value is tenths. It is called as three-tenths.

ANSWER= 3 3/10 as this can't be simplified.

PERCENT TO DECIMAL

When you convert a percent to decimal, you must divide it by 100.

SOLUTION (in the photo)

3.3 ÷ 100

ANSWER= 0.33

Find the area of the figure.

Answers

Answer: 38

Step-by-step explanation:

You can split this shape into 2 rectangles. The area of the two rectangles = 5 * 4 + 6 * 3

= 20 + 18

= 38

Question 15 (2 points)
The equation 5x-11 = 6x-x-11 has infinite solutions.
O True
O False

Answers

Answer:  True

Reason:

The 6x-x on the right hand side simplifies to 5x

This means the right hand side turns into 5x-11, which is an identical copy of the 5x-11 on the left side.

The equation 5x-11 = 5x-11 has infinitely many solutions because we can replace x with any real number to end up with a true statement.

i need help me alot plss​

Answers

first you need to find how many points he scored for C, which we know is worth 15 points each based off the diagram. you know he scored 6 baskets and each are worth 15 so you do 15*6 which gets you 90 points. this goes in the score for C. Next you find out how much is the score for B. You already know it’s worth a total of 140 and you have already score 20 and 90 so you just subtract those numbers from the total of 140. you should get 30 points left and this goes to your score for B. To find out how many baskets he’s score for C, knowing that each are worth 10 points and he’s scored 30 points, you do 30/10 which gets you 3.

i hope this helps!

Ethan's wallet contains 19 bills totaling to
$114. If Ethan's wallet only contains $20-
bills and $1-bills, how many $20 bills are in
Ethan's wallet?

Systems of linear equations applications

Answers

Five twenty dollar bills

If using the method of completing the square to solve the quadratic equation x^2-16x-34=0, which number would have to be added to "complete the square"?

Answers

To complete the square, you would add (16/2)^2 = 64/4 = 16 to both sides of the equation.

What does a math quadratic equation mean?

x ax2 + bx + c = 0 is a quadratic equation, which is a 2nd quadratic formula in a single variable. a 0. It has at most one solution since it is a 2nd polynomials equation, which is guaranteed by the algebraic fundamental theorem.

How can you tell whether or not an equation is quadratic?

In other terms, you have a quadratic equation if a times the squares of the equation after b plus b twice that the same phrase not square plus c equals 0. The initial equation will change to a quadratic equation if the value in the () is replaced with such a variable like t.

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find examples that contradict the conclusions of proposition 2.4.10 if a and b are not coprime (i.e. share a factor greater than ).

Answers

The conclusion of the proportion is if a and bare not coprime, when it share a factor greater than 1

Here we have given that if and are not coprime that is share a factor greater than.

And we need to find the examples that contradict the conclusions of proposition.
While we looking into the given question, we have identified that  if and  are not coprime.

In order to find the conclusion to this one, we must know the definition of co prime.

The term co prime is referred as those umbers that do not have any common factor other than 1.

As per the definition, we have clearly know that if the two number has the factor greater than one then it will not a co prime to each other.

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The university of California health services committee has five members. two members are chosen to serve as the committee chair and the vice chair. each committee member is equally likely to serve in either of the positions. What is the probability of randomly selecting the chair and the vice chair?

Answers

Answer:

the probability of randomly selecting the chair and the vice chair is 10%.

Step-by-step explanation:

There are a total of 5 members on the health services committee, and 2 of them will be chosen to serve as the chair and vice chair, respectively.

The probability of randomly selecting the chair out of the 5 members is 2/5, or 40%.

Once the chair is selected, there are 4 members remaining, and only one of them can serve as the vice chair. Therefore, the probability of randomly selecting the vice chair out of the remaining 4 members is 1/4, or 25%.

To find the probability of randomly selecting the chair and the vice chair, we need to multiply the individual probabilities of selecting each position, which is (2/5) * (1/4) = 2/20 = 1/10 = 10%.

So, the probability of randomly selecting the chair and the vice chair is 10%.

Find the area of a window that measures 3 yards by 34 yard.

Answers

Answer:

102

Step-by-step explanation:

34x3=102

Randomly selected adults at a coffee shop were asked how many hours they work in a typical workday. The results are tabulated in the following frequency table.

Answers

The histogram that accurately summarizes the data in this problem is given by the second image presented at the end of the answer.

How to draw the histogram?

The histogram of a data-set shows the number of times that each item was observed in the data-set.

From the first image given at the end of the answer, the absolute frequencies are given for each observation, which is the height of each bin of the histogram.

Missing Information

The problem is given by the first image presented at the end of the answer.

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if f(x)=x^2 and g(x)=x, determine the value(s) of x that satisfy the equation f(x) = g(x)

Answers

Answer:

1 or 0

Step-by-step explanation:

in order for a number's square equals to itself, it has to be 1 or 0.

y=3+4+369/2 plas helppppp

Answers

Answer:

191.5

Step-by-step explanation:



Consider the following sample data.
14 9 19 18 5
8
Calculate the z-score for the following values.
a. 12
b. 6
c. 15
d. 13
The z-score for a-d are?
(Round to two decimal places as needed.)

Answers

Take the original data and divide it by the standard deviation to determine the z-scores. X is a symbol for the relevant data point. For the population from which you selected your sample, mu and sigma stand in for the mean and standard deviation.

What are z-scores?

In terms of standard deviations above or below the mean, a data point's z-score quantifies this exact distance.

A z-score is calculated using the following formula:

data point = mean standard deviation

Data point means with standard deviation equal to z

The same equation is given below in symbol form:

z=  x−μ / σ

Some significant z-score details are as follows:

An elevated z-score indicates that the data point is.

When a data point has a negative z-score, it is below average.

The data point is considered to be roughly average if the z-score is near to 0.00.

If a data point's z-score is higher or lower than 3 33 or 3 3minus, the data point is deemed uncommon.

At Almond, the average score on a history midterm is

= 85 = 85mu, which is equivalent to 85 with a standard deviation of

= 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2

On the test, Michael received a score of 86.866.668.

Calculate Michael's exam grade in Z-score form.

His Grade = Mean Grade Standard Deviation

= 86 − 85 / 2

= 1 /2 = 0.5 z z z

= standard deviation of his grade and mean grade.

= 2 / 86−85

= 2 / 1 =0.5.

The z-score for Michael is 0.5, 0.50, and 5. He received a grade that was half a standard deviation higher than the mean.

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Adding and subtracting fractions
1 These diagrams show the distances four cyclists have cycled.
Write a calculation of the total distance each cyclist cycled.
a -
7/8 km
9/10 km
3/2km​

Answers

Total distance travelled by the cyclist is 131/40 km in fraction.

What is fraction ?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

The three main sorts of fractions are as follows. Proper fractions, improper fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its kinds based on these two parameters.

Total distance travelled by the cyclist is 7/8 + 9/10 + 3/2 = 131/40 km

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In Chapter 1, the concept of Transcommunication was discussed along with the two components that support it. Discuss the two and how differentiate how each contributes to ensuring the relationship to the transportation support system. Which of the following approaches see value in multiple treatment approaches and attempts to integrate aspects of various models? why might it be better to keep your emergency fund money in a separate account? the nurse is caring for a client with addison disease. which dietary modification should the nurse include in the client's teaching plan? On February 1 our company purchased a vehicle for cash. The two accounts involved in this transaction arevehicle and cashvehicle and notes payablevehicle expense and cashpurchases and cash Tabulate the different between goods and factors market What can occur during a ping of death (POD) attack? Check all that apply.A Denial-of-Service (DoS)A buffer overflowBaitingRemote code execution A nurse is preparing to administer bisacodyl suppsitory to a client. Which of the following actions should the nurse take? Select all that apply.A) position client supine with knees bentB) Lubricate index fingerC) Insert suppository just beyond internal sphincterD) Use rectal applicator for insertionE) Don sterile gloves when adam smith's ten pin workers specialized, they were able to increase output of pins in a day from 200 to 48,000. one reason for the increase in pin output was due to b.) suppose we select three letters from an extremely large pool of letters, where the number of a's, b's, ... z's are all the same. what is the probability that all three will be identical? Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived. 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Quillette.com, October 29 2019, https://quillette.com/2019/10/29/polyamory-is-growing-and-we-need-to-get-serious-about-it/ Select the correct collusion theory explanation for changing the rate of the given chemical reaction The order in which atomic orbitals are filled is based on what factor? (1 point) O The potential energy of the orbital. O The highest energy level available. O The overall energy level of the orbital. The available equivalent energy levels list the two methods most commonly used to limit the effects of indirectly transmitted x-ray photons. What would the cash discount statement "3/10, 2/20, net/30" mean on aninvoice? a week after the close of discovery, the plaintiff filed a motion for summary judgment on the issue of whether the defendant was negligent. with the motion, the plaintiff filed (i) his own sworn affidavit, which stated that the traffic signal was green as he entered the intersection; (ii) an affidavit of a witness who was driving the car behind him, which stated that the witness saw the entire incident and that the plaintiff's traffic signal was green as he approached and entered the intersection; and (iii) an affidavit of another witness, which stated that she saw the entire incident and that the defendant's signal had been red for several seconds before the defendant entered the intersection and was still red when the defendant entered the intersection. in response to the motion, the defendant filed his own affidavit which stated that he does not recall seeing the traffic signal before entering the intersection, but believes that it was not red. he also filed the affidavit of a pedestrian on the scene. the pedestrian stated that she did not see the traffic signal prior to the accident, but that another passerby told her that the traffic signal was yellow for both drivers. how should the court rule on the plaintiff's motion? Haley solves the inequality - 13 r+7 andgraphs the solution on a number line with a solid circle at -20 and anarrow pointing left. Is she correct? Support your answer, and givethe correct description if she is incorrect. a boat can travel 174 mile on 58 gallon of gaoline. How far can it travel on 39 gallon? Fix the inequality below to correctly show the domain of the function.