Find the area of the shaded region (outside of the circle).
Area of full square:
Area of circle:
in²
Area of shaded region:

Answer:

  none of the above

Step-by-step explanation:

All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.

All can be used to show congruence.

Answer:

4/10 or if you need it simplified it will be 2/5

Step-by-step explanation:

9/10 - 1/2

Least common multiple of 10 and 2 is 10. Convert 9/10 and 1/2 to fractions with denominator 10.

9/10 - 5/10

Since 9/10 and 5/10 have the same denominator, subtract them by subtracting their numerators.

​9-5/10

Subtract 5 from 9 to get 4.

4/10

Reduce the fraction 4/10 to lowest terms by extracting and canceling out 2.

After doing the steps you should get 2/5 as your answer :)

HOPE THIS HELPED

The monthly payment amount is approximately $129.45.

To find the payment amount and finance charge for the loan, we can use the formula for calculating monthly loan payments and finance charges.

The formula to calculate the monthly loan payment amount is given by:

\[ P = \frac{{r \cdot PV}}{{1 - (1+r)^{-n}}} \]

where:

P = monthly payment amount

r = monthly interest rate (APR divided by 12 months and 100 to convert it to a decimal)

PV = present value or loan amount

n = total number of payments

Given:

Loan amount (PV) = $4800

APR = 12%

Monthly payments (n) = 24

To calculate the monthly interest rate (r), we divide the annual percentage rate (APR) by 12 and convert it to a decimal:

\[ r = \frac{{12\%}}{{12 \cdot 100}} = \frac{{0.12}}{{12}} = 0.01 \]

Substituting the values into the formula, we have:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

Calculating this equation will give us the monthly payment amount.

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term (P * n).

Let's calculate these values:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - 0.62889499777}} \]

\[ P \approx \frac{{48}}{{0.37110500223}} \]

\[ P \approx 129.4532449 \]

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term:

Total amount paid = P * n

Total amount paid = $129.45 * 24

Total amount paid = $3106.80

Finance charge = Total amount paid - PV

Finance charge = $3106.80 - $4800

Finance charge = $-1693.20

The finance charge is approximately -$1693.20. The negative sign indicates that the borrower will be paying less than the loan amount over the loan term.

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Answer: x= 115°

Step-by-step explanation: All right triangles equal 180°, so all you have to do is add 40° and 25° (40°+25°= 65°) then subtract the sum (65°) from 180°. The equation would look like this: 180°-65°=115°. The equation to prove this would be 115°+65°=180°.

Hope this helps

Answer:

115°

Step-by-step explanation:

We know that

  the sum of the interior angles in a triangle is 180°.

Accordingly,

40 + x + 25 = 180

Combine like terms.

65 + x = 180

Subtract 65 from each side.

x = 180 - 65

x = 115°

There are approximately 2.97 billion droplets per acre being sprayed.

To calculate the number of droplets per acre, we need to first convert the diameter of the droplets from microns to inches (since we are using acres as our unit of area). There are 25,400 microns in one inch, so the diameter of the droplets in inches is 250/25,400 = 0.0098 inches.

Next, we need to calculate the area of one droplet. The formula for the area of a circle is A = πr², so the area of one droplet is A = π(0.0049)² = 0.0000754 square inches.

Finally, we can calculate the number of droplets per acre by dividing the total area of one acre (43,560 square feet) by the area of one droplet: 43,560 / 0.0000754 = 2.97 billion droplets per acre.

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False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Answer:

y = 3x+6

Step-by-step explanation:

refer to the picture

Answer:

y = 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, so slope of parallel line is 3

Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)

y - 9 = 3(x - 1)

y - 9 = 3x - 3 ( add 9 to both sides )

y = 3x + 6 ← in slope- intercept form

Answer:

-7× - 3× +2y +2y + 8 + 3

= -10x + 4y + 11

The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

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Answer:

WHat is te question?

Step-by-step explanation:

HUH?

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Answer:

1/5(1-x)

Step-by-step explanation:

Distributed

1/5-1/5x

Answer:1/5 (n-1)

Step-by-step explanation: Because say 1/5 and difference means subtract and number means variable and 1 means subtract it with the variable.

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

The slope is 4/5

Step-by-step explanation:

The line goes over the point (5,6) so we can use that to help us find the slope. Since slope is rise/run, the rise would be 4 and the run would be 5. Thus the slope is 4/5

Answer:

a is 64 and b is 34. Have a great day!

Step-by-step explanation:

Answer:

d+6

Step-by-step explanation:

Because d is representing dogs and sum means add, and it's asking to add the number of cats which is 6 so it's d+6

Answer:

No solution

Step-by-step explanation:

The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.

Hope this helps.

Answer:

Associative Property

Step-by-step explanation:

The Associative Property states that (a+b)+c=a+(b+c). The only thing that differs is the variables.

The value of the probability density function (pdf) at 0 for a uniform random variable between 5 and 15 is 0, because the pdf for a uniform distribution is constant between its minimum and maximum values, and is 0 elsewhere.

To explain further, a uniform distribution is a continuous probability distribution where every value within a certain range has an equal chance of being selected. In this case, the range is between 5 and 15. The pdf for a uniform distribution is constant within the range of the distribution and is 0 outside of it.

Since 0 is not within the range of the uniform distribution, the pdf at 0 is 0. This means that the probability of selecting a value of 0 from this uniform distribution is 0. The area under the pdf curve between 5 and 15 is equal to 1, which means that the probability of selecting a value within this range is 1.

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1) 3,500 rounded to the nearest ten thousand is 0.

2) 462,183.5062749 rounded to the nearest tenth is 462,183.5.

3) 6 + (-3) - 5 is equal to -2.

QUESTION 1:The given number is 3,500. To round it to the nearest ten thousand, we need to see which ten thousand is closest to the number. In this case, 3,500 is between 0 and 10,000. Since 0 is closer, we round down to 0. So, 3,500 rounded to the nearest ten thousand is 0.

QUESTION 2: To round the given number, 462,183.5062749, to the nearest tenth, we need to look at the digit in the hundredths place (the second digit after the decimal point), which is 0. Since 0 is less than 5, we round down the digit in the tenths place to 3.

Therefore, 462,183.5062749 rounded to the nearest tenth is 462,183.5.

QUESTION 3:We have to evaluate 8 to the 8th power. That means we have to multiply 8 by itself 8 times. Using a calculator, we can find that 8^8 is equal to 16,777,216.

QUESTION 4:When solving the expression 6 + (-3) - 5, we should follow the order of operations, which is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Since there are no parentheses or exponents in this expression, we can simply perform addition and subtraction from left to right.

6 + (-3) = 3, then 3 - 5 = -2.

Therefore, 6 + (-3) - 5 is equal to -2.

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Answer:

D

Step-by-step explanation:

The sum of the length of any 2 sides is greater than the length of any 3rd side

10+8 = 18, so D is not possible

The required confidence interval is,

⇒ CI = (0.628, 0.797)

According to the given information,

We can use a formula to calculate the confidence interval,

⇒ CI = p ± z  (√(p(1-p)/n))

Where,

p = sample proportion = 67/94 = 0.7128

z = z-score corresponding to a 90% confidence level = 1.645 (you can find this value on a z-table)

n = sample size = 94

So put the values, we get,

⇒ CI = 0.7128 ± 1.645 (√((0.7128 (1 - 0.7128))/94))

Simplifying this formula, we can get,

⇒ CI = 0.7128 ± 0.0846

Therefore, the 90% confidence interval for the true proportion of all adults in the town who have health insurance is,

⇒ CI = (0.6282, 0.7974)

In Interval Notation with decimal rounded to the thousandths,

⇒ CI = (0.628, 0.797)

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Answer:

mean=12

Step-by-step explanation:

First, order the data like so.

5, 7, 12, 12, 16, 17, 17

Then add them all up.  

It is a sum of 86.

Finally divide

86/7=12.2

Since 12.2 movies aren't possible, let's say the mean is 12

As the volume of the sphere is decreasing at a constant rate of 3 cm³/s, the radius of the sphere is 0.98 cm

The volume of the sphere is given by:

V = 4/3. πr³

Where:

r = radius.

Take the derivative with respect to t

dV/dt = 4. πr² dr/dt

Data from the problem:

dV/dt = 3 cm³/s

dr/dt = 0.25 cm/s

Plug these parameters into the equation:

3 = 4. πr² (0.25)

πr² = 3

r² = 3/π

r = sqrt (3/π) = 0.98 cm

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There are 54 students in the sociology class and 42 students in the literature class.

To solve this problem, we can use algebra. Let x be the number of students in sociology, then the number of students in literature is x - 12.

Let L represent the number of students in the literature class.

Let S represent the number of students in the sociology class.

Equation 1: L = S - 12 (The number of students in the literature class is 12 fewer than the number of students in sociology.)

Equation 2: L + S = 96 (The total enrollment for the two classes is 96 students.)

To solve this system of equations, we can substitute Equation 1 into Equation 2:

(S - 12) + S = 96

S - 12 + S = 96

2S - 12 = 96

2S = 108

S = 54

Substituting the value of S back into Equation 1:

L = 54 - 12

L = 42

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Answer:

Step-by-step explanation:

c=1/4(A-3c)

4c = A-3c

7c = A

c = A/7

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)