The measure of angle A is

To calculate how long it would take to pay off 60% of the debt,

we can use the same facts as in problem #16. Let's go through the steps:

1. Determine the total amount of debt: Find the original debt amount given in problem #16.

2. Calculate 60% of the debt: Multiply the total debt by 0.6 to find the amount that represents 60% of the debt.

3. Divide the amount obtained in step 2 by the monthly payment: This will give us the number of months it will take to pay off 60% of the debt.

Now, let's apply these steps to the options provided:

a. About 45 months: To determine if this is the correct answer, we need to perform the calculations outlined above using the original debt amount and the monthly payment given in problem #16.

b. About 50 months: Same as option a, perform the calculations using the original debt amount and the monthly payment.

c. About 55 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

d. About 37 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

After performing the calculations for each option, compare the results with the options provided to find the correct answer.

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.

Since there are 9 pairs of boots in the pile, we can determine that each pair has two boots. If at most one boot is chosen from each pair, the maximum number of boots chosen would be 18.

To guarantee that a matched pair of boots is chosen, we must pick at least two boots from the pile, one from each boot of the same pair. Therefore, the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.

Number of pairs of boots in the pile = 9

Number of boots in each pair = 2

Maximum number of boots that can be chosen = 9 x 2 = 18

Minimum number of boots required to guarantee a matched pair = 2

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Answer:

88 birdhouses

6 new boxes

226 postcards

Answer:

1. 88

2. 6

that's all, and when you do problems like this later, don't forget the order of operations!

If a straight line has a gradient of 3 and passes through a point (2, 10), then the equation of the line is [y = (3x + 4)].

As per the question statement, a straight line has a gradient of 3 and passes through a point (2, 10),

And we are required to determine the equation of the above mentioned line.

To answer this question, we need to know the formula to determine the equation of a straight line having a known slope, say "m", and passing through a known point, say (x₁, y₁), which goes as,

[(y - y₁) = {m(x - x₁)]

Here, since our concerned line has a gradient of 3, i.e., (m = 3), and passes through a point (2, 10), i.e., [(x₁, y₁) = (2, 10)], using these values in the above mentioned formula to determine the equation of a straight line having a known slope and passing through a known point, we get,

[(y - 10) = {3(x - 2)}]

Or, [(y - 10) = (3x - 6)]

Or, [y = 3x + (10 - 6)]

Or, [y = (3x + 4)]

That is, the equation of a straight line having a gradient of 3 and passing through a point (2, 10) is [y = (3x + 4)].

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Answer:

Step-by-step explanation:

True statements

All equallateral triangles are similar. Their sides are all in the same ratio when comparred.

All squares are similar. Same reason as equilateral triangles. All sides to both squares compared are the same.

False Statements

Isosceles triangles can and usually do have different base angles.

rectangles can have all sorts or side lengths. The only requirement is consecutive sides form right angles.

2 rhombuses can have side lengths that are in the same ratio, but the heights are not in the same ratio. That eleminates.

Answer

These are the only true ones: Statements 2 and 5 are true. The rest are not.

Answer:

It like the once like Line with smaller angle (DBC) measure wouldn't 30* and by the exam the ratio of angle use by subjective by multiplying as large of angle.

oh, by the way I think I hope I'm right so good luck with that?

Let's solve your inequality step-by-step.

h−(−2)≥10

Step 1: Simplify both sides of the inequality.

h+2≥10

Step 2: Subtract 2 from both sides.

h+2−2≥10−2

h≥8

Answer:

h≥8

(Pls mark brainliest)

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

The given inequality is:

h  -(-2)  ≥  10

Simplify the left hand side

h  +  2  ≥  10

Subtract 2 from both sides of the inequality

h  +  2  -  2  ≥  10  -  2

h    ≥   8

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

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The food truck sold 122 hamburgers that day.

Let's assume that x is the number of hamburgers that were sold that day..

A food truck sells hamburgers for 5.5 dollars each and drinks for 2 dollars each.

The food truck's revenue from selling a total of 203 hamburgers and drinks in one day was 834 dollars.

Now, as per the given conditions, x + y = 203 where y is the number of drinks sold that day.

The cost of a single hamburger is $5.5The cost of a single drink is $2

The revenue from the sale of 203 hamburgers and drinks is $834.

Thus, we can form another equation as 5.5x + 2y = 834So, we have to solve these two equations to find the value of x. Here, we will use the elimination method to solve the equations.

To eliminate y, we will multiply the first equation by 2, and we get:2x + 2y = 4065.5x + 2y = 834

Now, subtract the two equations:3.5x = 428x = 122

Hence, 122 hamburgers were sold that day.

Therefore, Total revenue = $834.

Number of hamburgers sold = x,

number of drinks sold = y.

We have the following system of equations:

                                x + y = 203 (1)

                                5.5x + 2y = 834 (2)

To solve the system, we will use the elimination method.

Multiplying equation (1) by 2, we get:2x + 2y = 4065.5x + 2y = 834

Now, subtracting equation (1) from equation (2), we get:3.5x = 428x = 122

Hence, the food truck sold 122 hamburgers that day.

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What is the present value of $25,000 to be received in 5 years if your discount rate is 4% .The formula to calculate the present value of a future sum of money is: P = F / (1 + r)n

Where P is the present value of the future sum of money, F is the future sum of money, r is the discount rate, and n is the number of years.Here,

F = $25,000,

r = 4%, and

n = 5 years.

The present value of $25,000 is: P = $25,000 / (1 + 0.04)5 = $20,102. Type your numeric answer and submit.

What annual rate of return would you need to earn on your investment if you have savings of $8,000 and your goal is to have $10,000 after 3 years he formula to calculate the future value of a present sum of money is:F = P x (1 + r)nwhere F is the future sum of money, P is the present sum of money, r is the annual rate of return, and n is the number of years.Here, P = $8,000, F = $10,000, and n = 3 years. Type your numeric answer and submit.

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Answer:

Answer is C

Step-by-step explanation:

Answer:

C or C. 2(x + 5) = 40

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

y(11)= x + 5

-5          -5

6= x  or x = 6

Hope this helps!!

Answer:

Step-by-step explanation:

The equation for a circle is

\((x-h)^2+(y-k)^2=r^2\)

We have our h and k from the center as h = -1 and k = -3, and we also know the radius, which is 6. We also have an x/y coordinate as (-6, -6) and we want to know if that coordinate lies in, on, or outside of the circle. The way we will do that is plug everything into the circle equation and solve. If what we solve for is less than the radius, then the point is inside the circle; if what we solve for is equal to the radius, then the point is on the circle; if what we solve for is greater than the radius, then the point in outside the circle.  Here we go:

\((-6-(-1))^2+(-6-(-3))^2?36\) .  There's a question mark there intentionally. The left side is the one we are solving for to see if it is less than, equal to, or greater than, 36.  Continuing,

\((-6+1)^2+(-6+3)^2? 36\) and

\((-5)^2+(-3)^2?36\) and

25 + 9 ? 36

34 ? 36

We know that 34 is less than 36, so the point lies INSIDE the circle.

Answer:

a

Step-by-step explanation:

because it is in the circle

Answer:

Please check the attached file.

Hope this helps!

:)

Answer:

the side opposite to right angle is hypotenuse ,AB is side opposite to thita nd BC is the side adjacent to thita.

Answer:

-6x²+11x-4

Step-by-step explanation:

Apply the distributive property by multiplying each term of -3x+4 by each term of 2x-1

-6x²+3x+8x-4

Answer:

whatever is higher than 1.5 is higher than r

Step-by-step explanation:

-1.2 ≤ -0.8r

-1.2/0.8 ≤ -0.8r/0.8

-1.5 ≤ -r

-1.5/-1 ≤ -r/-1

1.5 ≥ r

1.5 is equal to or bigger than r

Answer: -0.8r is bigger

Step-by-step explanation:

When constructing a 98% confidence interval with a sample size of 37, the t* value to use for determining the margin of error or the width of the confidence interval is approximately 2.693.

To find the t* value associated with a 98% confidence level and degrees of freedom (df) equal to 37, we can refer to a t-distribution table or use statistical software. The t* value represents the critical value that separates the central portion of the t-distribution, which contains the confidence interval.

In this case, with a 98% confidence level, we need to find the t* value that leaves 1% of the distribution in the tails (2% divided by 2 for a two-tailed test). With df = 37, we can locate the corresponding value in a t-distribution table or use software to obtain the value.

Using a t-distribution table or software, the t* value associated with a 98% confidence level and df = 37 is approximately 2.693. This means that for a sample size of 37 and a confidence level of 98%, the critical value falls at approximately 2.693 standard deviations away from the mean.

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The given property “If AB=CD then CD=AB” is known as the symmetric property. Symmetric property is a type of equivalence relation in mathematics that states that if the relation between two elements is in the form of "if A is related to B, then B is related to A," then this type of relation is symmetric.

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Answer:

yeet y,njsjdhdhdhddjhrr

Answer:

One pecan cheesecake = $9

One apple cheesecake = $20

Step-by-step explanation:

This is a system of equations problem, so we can set up these equations (Note: p = pecan cheesecake cost | a = apple cheesecake cost):

8p + 12a = 312

9p + 6a = 201

Now, we can solve the system of equations. Below is an example of using the elimination method to solve the system:

1.    8p + 12a = 312 --> -4p - 6a  = -156        

     9p + 6a = 201  -->  9p + 6a = 201

2.                                  5p         = 45

3.                                    p         = 9

4.  8(9) + 12a = 312

    72   + 12a = 312

              12a = 240

                 a = 20

1. We try to make one of the terms equal to the negative version of the other term to eliminate that term; here, I am eliminating "a". To do this, find a multiple of one of the equations where one of the terms is the negative version of the other term. In other words, divide/multiply the equation by a number so one of the terms in the equation is the negative version of the term in the other equation (I divided the first equation by -2 so 12a becomes -6a, the negative version of 6a in the second equation.

2. Next, add the two equations' corresponding terms

(-4p + 9p = 5p; -6a + 6a = 0; -156 + 201 = 45)

3. Simplify the equation (5p = 45; p = 45/5; p = 9)

4. Substitute the term you found back into one of the equations to find the other term.

The required correct answer is,

The area under P2 is 1, the area under P1 depends on the standard deviation of the dataset

i.e., Option d. is correct.

What is density curve ?

A density curve is a curve that illustrates the general shape of a data distribution. It is always above the x-axis; the area beneath it is always equal to one whole; the area beneath shows the percentage of all observations that fall in a given range. It is statistically easier to deal with a smooth curve than a histogram.

The bell-shaped density curve, which symbolizes the normal distribution, is the most well-known.

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Answer: 8.1

Step-by-step explanation:

Use the lower triangle to find one of the sides of the triangle that is composed of the dotted line.

\(4^{2} +5^{2} = c^{2} \\41 = c^{2} \\\sqrt{41} = c\\6.40 =c\)

Use this side value along with what we're given in the image to solve for the length of the dotted line. The image gives us a side length of 5 which we can translate to being equal to the opposite side as well. Now, we have two side lengths and can use Pythagorean theorem to solve for the length of the dotted line:

\(6.40^{2} + 5^{2} = x^{2} \\65.96 = x^{2} \\\sqrt{65.96} = x\\8.1 = x\)

Answer: \(3x^3+6x^2-5x-10\)

Step-by-step explanation:

\(\left(x+2\right)\left(3x^2-5\right)\)

\(x\cdot \:3x^2+x\left(-5\right)+2\cdot \:3x^2+2\left(-5\right)\)

\(=3x^3+6x^2-5x-10\)

Answer:

Two adjacent angles can be complementary

Step-by-step explanation:

if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc.

Translation of the Ax=0 solution set yields the Ax-b solution set since Ax-b is consistent. The Ax = b solution set is therefore a single vector if and only if the Ax = 0 solution set is a single vector, which occurs if and only if Ax 0 has only the trivial solution.

Finding the solution to an equation is like finding the solution to a puzzle. A mathematical equation proves the equality of two algebraic expressions. Determine the values of the variables that make the equation a true statement in order to solve an equation. An equation's solution is any value that causes the equation to be true.

given

Let's suppose that there is a solution to the equation ax = b.

Now, we want to demonstrate that the trivial solution exists for the equation ax = b when ax = 0.

Ax = 0 is homogeneous.

In the event that this equation was true for b, we define

To be a set of vectors with the form ax = b

w = m + gh

The subscript "h"

A solution to ax = 0 is gh.

Ax=b is in the form of w= m+gh based on the information we know had.

with

m = ax=solution b's

Soulution of gh = ax=0

Only a simple solution, ax = 0, exists.

gh = 0

where gh = 0

The relationship between ax=b and w=m

Ax = b thus has no alternative solutions.

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Answer:

7

Step-by-step explanation:

Do addition first, so 30 plus 2, and then subtract, 32 minus 25. It is seven.

Answer:

Step-by-step explanation:

252 = 2 * 126

        = 2 * 2 * 63

         = 2 * 2 * 3 * 21

         = 2 * 2 * 3 * 3 * 7

         = 2² * 3² * 7

Answer:

2^2 x 3^2 x 7

Step-by-step explanation:

2----252

2---- 126

3----- 63

3------ 21

7------ 7

         1

2x2x3x3x7

In expotential form = 2^2 x 3^2 x 7