OW has a radius of 10 mm
Right triangle XYZ is inscribed in W
XZ is a diameter of W
YZ = 16 mm
Y
X
W
Z
*not drawn to scale
What is the approximate area of the shaded portion of the diagram? (Use 3. 14 as an estimate for .)
A. 154 mm²
B. 194 mm²
C. 218 mm²
D. 234 mm²

The expression m - (8 - 3m) is equivalent to the expression 4m - 8.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ m - (8 - 3m)

Simplify the expression, then we have

⇒ m - (8 - 3m)

⇒ m - 8 + 3m

⇒ 4m - 8

The expression m - (8 - 3m) is equivalent to the expression 4m - 8.

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The speed of the boat in still water is 20.625 km/hr. and the speed of the current is 66 km/hr.

The speed formula is speed = distance / time.

Consider x= speed of current and y = speed of still water

The speed of the boat in still water can be calculated by dividing the total distance traveled by the total time taken;

(165 km x 2 = 330 km)

(5 hours + 11 hours = 16 hours).

Therefore, the speed of the boat in still water

330 km/16 hours = 20.625 km/hr.

The speed of the current can be calculated by dividing the total distance traveled by the total time taken for the downstream trip ;

(165 km x 2 = 330 km)

(5 hours).

Therefore, the speed of the current = 330 km/5 hours = 66 km/hr.

Hence,

speed of still water = 20.625 km/hr.

speed of current = 66 km/hr

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The measure of angles from the given figure A, B, C, D, E, F, G and H are 61°, 130°, 58°, 50°,  84°, 85°, 146° and 145° respectively.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

1) By using the angle sum property of triangle

∠A+58°+61°=180°

∠A+119°=180°

∠A=61°

2) ∠B+50°=180° (Adjacent angles)

∠B=130°

3) ∠A=∠C (Angles of same segment)

∠C=58°

4) ∠D=50° (Vertically opposite angles)

5) 111°+90°+75°+∠E=360° (Sum of interior angles of quadrilateral)

∠E= 84°

6) 111°+84°+130°+130°+x=540° (Sum of interior angles of pentagon)

∠F=x=85°

∠F= 85°

7) 70°+50°+y=180° (angle sum property of triangle)

y=60°

70°+84°+60°+∠G=360° (Sum of interior angles of quadrilateral)

∠G=146°

8) ∠G+∠A+58°+130°+∠H=540°

146°+61°+58°+130°+∠H=540°

∠H=145°

Hence, ∠A=61°, ∠B=130°, ∠C=58°, ∠D=50°, ∠E= 84°, ∠F= 85°, ∠G=146° and  ∠H=145°.

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Answer:

Step-by-step explanation:

A: 61°

B:130°

C: 58°

D: 50°

E: 84°

F: 85°

G:146°

H: 145°

Answer:

Step-by-step explanation:

The expression tan(θ)cot(θ) can be simplified using the trigonometric identity:

tan(θ) = sin(θ) / cos(θ)

cot(θ) = cos(θ) / sin(θ)

So,

tan(θ)cot(θ) = (sin(θ) / cos(θ)) x (cos(θ) / sin(θ))

= sin(θ) x cos(θ) / (cos(θ) x sin(θ))

= sin^2(θ) / sin^2(θ)

= 1

Therefore, tan(θ)cot(θ) = 1.

Answer: 39

Step-by-step explanation: 20 + 12+7

Answer:

27) #3 --> 12x - 24 = 60

29) 2x^2 + x - 15

Step-by-step explanation:

27) If x represents the number of boxes, and there are 12 cookies in each box, multiplying 12 by x results in the total number of cookies Kendal bought. However, she kept 2 boxes for herself, which is the same as 2(12) = 24 cookies. Kendal ended up with 60 cookies at the party, so subtracting 24 cookies from the total number of cookies (12x) equals 60 cookies.

29) (3 + x)(2x - 5)

3 * 2x = 6x

3(-5) = -15

x * 2x = 2x^2

x(-5) = -5x

6x - 15 + 2x^2 - 5x =

2x^2 + x - 15

Converting inches to feet using the given value, we get, 106 inches is equal to 8.83 feet.

To convert inches to feet, we divide the number of inches by 12, since there are 12 inches in a foot.

So, 106 inches divided by 12 gives us:

106 ÷ 12 = 8.83 feet

Therefore, 106 inches is equivalent to 8.83 feet.

It's important to note that in the United States, Liberia, and Myanmar, feet and inches are commonly used units of length for measuring things like height and distance. While other countries may use the metric system, it's always important to make sure you're using the correct units of measurement for the context in which you're working.

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The number 8.75 is equivalent to the fraction 35/4 in its simplest form.

To convert 8.75 to a fraction, we can write it as a fraction with a denominator of 1. We then multiply both the numerator and denominator by 100 to get rid of the decimal point. This gives us:

8.75 = 8.75/1

= 875/100

Next, we want to get rid of the decimal point, which we can do by multiplying both the numerator and denominator by a power of 10 that moves the decimal point of the numerator to the right until it disappears. In this case, we can multiply both the numerator and denominator by 100, which gives us:

8.75/1 x 100/100 = 875/100

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 25. This gives us:

875/100 = (875/25) / (100/25) = 35/4

Therefore, we conclude that 8.75 is equivalent to the fraction 35/4 in its simplest form.

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Math 220 at UIUC is a calculus course offered at the University of Illinois at Urbana-Champaign.

It is designed to introduce students to the fundamental concepts of calculus, including limits, differentiation, and integration. The course also covers applications of these concepts to real-world problems, such as optimization and modeling.

Students are expected to have a strong foundation in algebra and trigonometry before taking Math 220. The course is typically taken by students in the College of Engineering and the College of Liberal Arts and Sciences.

The textbook for the course is the 8th edition of Calculus: Early Transcendentals by James Stewart. Additionally, Math 220 students must obtain access to the online homework system MyMathLabPlus and a copy of the textbook (hard copy or eBook).

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Answer:

Step-by-step explanation:

1.95 times 13= 25.35

The amount of interest paid over the 3-year lease is $4,643.64 for a car.

A monthly payment is a payment made every month to disburse loans or advances.

First, we need to calculate the total amount paid over the 3-year lease.

The monthly payment is $429.95, and there are 36 months in the lease, so:

Total lease payments = 36 x $429.95 = $15,478.20

The down payment of $500 is separate from the lease payments, so we don't include it in this calculation.

Next, we need to calculate the interest paid over the 3-year lease. We are told that interest is 30% of the monthly payment, so:

Monthly interest = 30% of $429.95 = $128.99

To find the total interest paid over the 3-year lease, we can simply multiply the monthly interest by the number of months in the lease:

Total interest paid = 36 x $128.99 = $4,643.64

Therefore, the amount of interest paid over the 3-year lease is $4,643.64.

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The question seems incomplete, the complete question would be as:

You lease a car valued at 23,495 for 3 years at $429.95/month with a $500 down payment. If interest is 30% of the payment, how much interest is paid over the 3 years?

Flipping a coin 10 times and recording if it comes up heads is an example of binomial experiment. Option (c) is correct.

Further Explanation:

Given:

The options are follows,

(a). Flipping a coin until it comes up tails.

(b). flipping a coin until 8 heads are recorded

(c). flipping a coin 10 times and recording if it comes up heads

(d). flipping a coin by 10 different people and recording the age of each person

Explanation:

Conditions for binomial experiment are as follows,

(1). The experiment should be independent means that the probability of successive trial will not be affected by the previous trial.

(2). The experiment should have a finite number of trials.

(3). The probability of success will remain same for each trial.

(4). The experiment should have only two outcomes.

Flipping a coin has only two outcomes head or tail.

Flipping a coin 10 times and recording if it comes up heads is an example of binomial experiment. Option (c) is correct.

Option (a) is not a binomial experiment as the experiment is not for finite number of times.

Option (b) is not a binomial experiment as the experiment is not for finite number of times.

Option (c) is a binomial experiment.

Option (d) is not a binomial experiment as the experiment doesn’t have the same probability of occurrence.

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Answer details:

Grade: College

Subject: Statistics

Chapter: Binomial experiment

Keywords: binomial experiment, flipping a coin, tails, heads, recorded, 10 different people, probability, each person.

This experiment has a fixed number of trials (10), each trial has only two possible outcomes (heads or tails), the probability of success (heads) is the same for each trial (0.5), and there is no interdependence between the trials.

The following features of the binomial experiment apply:

These traits allow us to identify the following characteristics of the binomial experiment:

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Answer:

P+n<20

Step-by-step explanation:

The given situation can be expressed as an inequality as p + n ≤ 20.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

Ethan has p pennies and n nickels.

Number of pennies = p

Number of nickels = n

Total number of coins is no more than 20.

This means that the combined total of pennies and nickels does not exceed 20.

sum of p and n is less than or equal to 20.

p + n ≤ 20

Hence the required inequality expression is p + n ≤ 20.

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The percent error of the weight of Erika's object is given as follows:

5%.

The percent error is obtained applying the proportions in the context of the problem.

A proportion is applied as the percent error is calculated as the division of the error by the actual amount, divided by 100%.

The parameters for this problem are given as follows:

Hence the percent error is given as follows:

20/400 x 100% = 5%.

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The a-value for the quadratic equation x² - 7x - 18.5 = 0 is 1.

The b-value for the quadratic equation x² - 7x - 18.5 = 0 is -7.

The c-value for the quadratic equation x² - 7x - 18.5 = 0 is -18.5.

The a-value for the quadratic equation 2x² + 15x + 12 = 0 is 2.

The b-value for the quadratic equation 2x² + 15x + 12 = 0 is 15.

The c-value for the quadratic equation 2x² + 15x + 12 = 0 is 12.

In Mathematics, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

For the quadratic equation x² - 7x - 18.5 = 0, we have:

[tex]x = \frac{-(-7)\; \pm \;\sqrt{(-7)^2 - 4(1)(-18.5)}}{2(1)}[/tex]

For the quadratic equation 2x² + 15x + 12 = 0, we have:

[tex]x = \frac{-(5)\; \pm \;\sqrt{(5)^2 - 4(2)(12)}}{2(2)}[/tex]

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The inequality B -2 ≥ -1 gives the value for B ≥ 1.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

B - 2 is greater than equal to -1

Writing the mathematical inequality is

B -2 ≥ -1

B ≥ -1 + 2

B ≥ 1

So, the value of B should be greater than 1.

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Answer:

$231

Step-by-step explanation:

500-38=462

50% of 462= 231

So she needs to make $231 more to reach her goal

Answer:

the correct answer is Tim

Answer:

Below

Step-by-step explanation:

So you need to find a denominator that both will divide 'evenly' into...

  12 would work.....4 will divide into it 'evenly' = 3

 You do to need to do anything to the '5/12 ' ....

So change 3/4 to 12ths by multiplying by ' 1 ' in the for 3/3

     3/4  * 3/3 =  (3* 3 ) / ( 3*4 ) = 9 / 12     Done.

The value of g(f(x)) is 9r² + 24.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given are two functions.

f(r) = r² + 4

g(r) = 9r - 12

Composition of two functions f and g is the third function h such that f(g(x)) = h(x).

g(f(x)) = g(r² + 4)

         = 9 (r² + 4) - 12

         = 9r² + 36 - 12

         = 9r² + 24

Hence the new function which is the composition of the two given function is 9r² + 24.

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Answer: 8.875

Step-by-step explanation:

8 77/88

(77 ÷ 88) + 8          

0.875   +  8                                    

8.875

In discrete mathematics, a truth table is a table that lists all possible combinations of truth values for a given set of logical variables and shows the resulting truth values of a compound proposition.

In discrete mathematics, a truth table is a table that lists all possible combinations of truth values (usually either true or false) for a given set of logical variables and shows the resulting truth values of a compound proposition (a logical expression formed by combining the variables using logical operators such as AND, OR, and NOT). Each row of the truth table represents one possible combination of truth values, and the columns represent the variables and the various intermediate steps of the logical calculation. Truth tables are often used to determine the truth values of complex propositions and to test the validity of logical arguments.

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The result of the operation is 14x - y = 19

From the question, we have the following parameters that can be used in our computation:

6x − y = 7

2x + y = 5

The operation is given as

Using the above as a guide, we have the following:

12x − 2y = 14

+ 2x + y = 5

Evalaute the sum

14x - y = 19

Hence, the solution is 14x - y = 19

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Answer: 225 km/h

Step-by-step explanation: If distance = rate multiplied by time, then you are just multiplying 45 x 5.

45 x 5= 225

Answer: y = 5x - 1 ( look at the image  for the solution )

Step-by-step explanation:

For the given algebraic expression, the value of p is 0.2 .

A linear expression can be represented by a line. The standard form for this equation is: y=mx+b , for example, y=x+9. Where:

m= the slope.

b= the constant term that represents the y-intercept

For the given example: m=1 and b=9.

The exercise presents the following algebraic expression:

14=p*70 and it asks you the value of p. Thus, you should divide the number 14 by 70. See below.

14=p*70

p=14/70

p=2/10

p=0.2

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Answer: x/20=25

Step-by-step explanation:

You'll have to take the variable and divide it by 20 to equal 25.

How you do that is by subtracting 20 from 25, then you should get x=5, which would be your answer to the problem itself.

Answer: 25 days

Step-by-step explanation:

Convert the unit for 600 hours
1 day = 24 hours
divide 600 hours with 24 hours as 24 hours  = 1 day
600 ÷ 24  = 25