The
radius of the circle is 53.5 inches. the supports span 94 inches.
What is the angle theta for the marked section?

Answer: Choice C

x+y = 28

3x+4y = 100

===================================================

Explanation:

x and y are placeholders for nonnegative whole numbers.

Specifically,

x = number of three point questions

y = number of four point questions

Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.

------------

Now let's form the second equation:

x = number of three point questions

3x = points we get from all the three point questions

y = number of four point questions

4y = points we get from all the four point questions

3x+4y = all points possible

3x+4y = 100  is the second equation

------------

So we have this system

\(\begin{cases}x+y = 28\\3x+4y = 100\end{cases}\)

which fits the conditions in the instructions.

8x-12+3x+5=180(sum of straight angles)

8x+3x-12+5=180

11x-19=180

11x=180-19

11x=161

x=161÷11

Step-by-step explanation:

sum of straight angles are 180

Answer:

We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.

Is this what you were asking?

I hope I could help. (๑•～•)

Answer:

30p + 5

You do destibutive property

(6p+1)(5)

6p * 5

1 * 5

=30p+5

\(Your\) \(answer\) \(would\) \(be.\)

\(B\) \(Probably\) \(a\) \(lil\) \(late\) \(to\) \(be\) \(answering\) \(this.\)

\(- Yaoii\)

Answer:

n = 4

Step-by-step explanation:

1/2(n + 2) + 4 = 3n - 5

1/2n + 5 = 3n - 5

- 5 | - 5

1/2n = 3n - 10

- 3n | - 3n

-5/2n = -10

* 2 | * 2

-5n = -20

/5 | /5

n = 4

---

Hope this helps!

Answer:

did u just answer your own question

Step-by-step explanation:

e2020 has 707 digits.

e is the mathematical constant known as the base of the natural logarithm, which means that the logarithm of any number to the base e is its natural logarithm. It is approximately equal to 2.71828, but its decimal representation goes on infinitely without repeating.

Calculating the number of digits in e2020 involves finding the number of decimal places that e extends past 2020. This is calculated using logarithms.

To find the number of digits in e2020, you can calculate 10^(number of decimal places past 2020) and determine the number of digits in the result.

This gives us 10^(707) = e2020, meaning that e2020 has 707 digits.

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Answer:

The included angle means the angle between two sides. In other words it is the angle 'included between' two sides. In which pair of triangles pictured below could you use the Side Angle Side postulate (SAS) to prove the triangles are congruent? It is the only pair in which the angle is an included angle.

Step-by-step explanation:

Mathematically we write this as:

=362+(302×q)

The expression is 362+302q

Goodluck.

Answer:

state

your answer

Answer:

y = -x+5

Step-by-step explanation:

m = -1, so y = -x+5

Answer:

7x+12

Step-by-step explanation:

5x+2(x+6)

distribute

5x+2x+12

add like terms

7x+12

Charge on each sphere is -3.4 × 10⁻⁹ C.

According to Coulomb’s law, the force F between two charged bodies, having charges q1 and q2 and separated by a distance r, is given by

F = (k |q1 q2|) / r² where k is a constant equal to 8.99 × 10^9 N m²/C²

Given:F1 = F2 = 0.0360 N; k = 8.99 × 10^9 N m²/C²; r = 24.3 cm = 0.243 m

Let q be the charge on each sphere.

Because both spheres have equal amounts of charge, the force acting on each sphere is the same.

Hence, F = F1 = F2(q²) = F * r² / (k) = (0.0360 N) * (0.243 m)² / (8.99 × 10^9 N m²/C²)

Charge on each sphere is -3.4 × 10⁻⁹ C.

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When measuring in inches, it's important to know how to read fractions accurately.

For example, if you see a mark halfway betweentwo-inchh marks, that would represent 1/2 of an inch. Here are the correct readings for each inch measurement:

1/16 inch = 1/16
1/8 inch = 1/8
3/16 inch = 3/16
1/4 inch = 1/4
5/16 inch = 5/16
3/8 inch = 3/8
7/16 inch = 7/16
1/2 inch = 1/2
9/16 inch = 9/16
5/8 inch = 5/8
11/16 inch = 11/16
3/4 inch = 3/4
13/16 inch = 13/16
7/8 inch = 7/8
15/16 inch = 15/16

Remember, it's important to reduce fractions to their lowest terms to avoid errors in measurement. And when writing down your measurements, make sure to use the correct format of 3-7/8 or 1-15/16, as incorrect formatting will be counted as wrong.

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Place the correct reading for each inch measurement in the blank space provided. Reduce fractions to their lowest terms.

For example, 10/16 = 5/8.

Format of answers to be 3-7/8 or 1-15/16.

Incorrect format will be counted WRONG!

Inch marks not required.

The correct solution for this question is  (b) $25.20.

How to solve and what is sale tax?

To calculate the total cost of the DVD including tax, we need to add the sales tax to the original price.

If the DVD costs $24, then the sales tax is 5% of $24, which is:

0.05 x $24 = $1.20

Therefore, the total cost of the DVD including tax is:

$24 + $1.20 = $25.20

So the answer is (b) $25.20.

Sales tax is a tax imposed by the government on the sale of goods and services. The tax is usually calculated as a percentage of the sale price and is added to the price that the buyer pays.

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9514 1404 393

Answer:

  6. see attached

  7. (a, b) = (-2, 3)

  8. equation has issues

Step-by-step explanation:

6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...

  A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms

The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)

__

7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.

element 11: 5 = b +2   ⇒   b = 3

element 21: a = 2 +2a   ⇒   a = -2   (add -a-2 to both sides to get this)

__

8.  There are issues with this equation. It is incomplete and inconsistent.

element 11: p = p+4   ⇒   no solution

element 21: r = 0 +(2r  s)   ⇔   missing math symbol; problem is incomplete

element 12: q = 6 + (p +q)   ⇒   p = -6; q = anything

element 22: s = 2s +2   ⇒   s = -2   (add -s-2 to both sides)

_____

Additional comment

When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.

If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.

The theorem that justifies that the pair of triangles are congruent is: AAS.

The AAS is known as the angle-angle-side congruence theorem, which justifies why two triangles that have a pair of non-included congruent side and two pairs of corresponding congruent sides.

The diagram shows that the two triangles have two corresponding congruent angels that are marked, and they share a common side, which means they have a pair of non-included congruent sides.

This goes to show that the criterion for proving that the two triangles are congruent by the AAS are already given and known.

Therefore, the triangles are congruent to each other by the AAS congruence theorem.

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Answer: 80/3 months

Step-by-step explanation:

Let x be the number of months until Zera reaches her limit.

Then on month x, her charges are 200x, and her payments are 125x.

This leaves her with 200x - 125x = 75x dollars owed.

we need to see when this equals 2000, so she hits her limit:

2000 = 75x

.: x = 2000/75 = 80/3

She can continue her pattern for 80/3 months, (≈26.666667)

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

Answer:

B. 12\sqrt{3} ft

Step-by-step explanation:

Answer:

Justification of 'Cost of Match , based on attendants' linear equation

Step-by-step explanation:

Yes , this linear equation might hold right in denoting total cost 'y' for 'x' people attending racing event

Given equation  : y = 13x + 80

Cost 'y' is the variable dependent on explanatory variable ie no. of race attendants. So, y is on LHS, being determined by x on LHS.

80 is the autonomous constant intercept of equation, denoting fixed setup cost irrespective of no. of attendants. +13x denotes every additional attendant increases cost by 13 units (above the level of fixed cost), this is the positive slope of equation (as variables are directly related)  

The probability of a patient scoring above 192 on the endurance test is approximately 40.90%. A patient at the 80th percentile receives a score of approximately 208.2.

a. To find the probability that a patient will score above 192, we need to use the Z-score formula. The Z-score measures the number of standard deviations a data point is from the mean. In this case, the formula is Z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation.

First, calculate the Z-score: Z = (192 - 185) / 30 = 7/30 ≈ 0.23.

Next, we need to find the probability of scoring above this Z-score. Using a Z-table or a calculator, we find that the probability is approximately 0.4090, or 40.90%.

b. To find the score that corresponds to the 80th percentile, we need to find the Z-score that has an area of 0.80 to the left. Using the Z-table or a calculator, we find that the Z-score is approximately 0.84.

Now, we can use the Z-score formula to find the corresponding score: X = Z * σ + μ. Plugging in the values, we get X = 0.84 * 30 + 185 = 208.2.

Therefore, a patient at the 80th percentile receives a score of approximately 208.2.

a. To find the probability of a patient scoring above 192 on the endurance test, we first calculate the Z-score. This allows us to standardize the score by measuring how many standard deviations it is from the mean. We then use a Z-table or calculator to find the probability corresponding to this Z-score, which is approximately 0.4090 or 40.90%.

b. To find the score at the 80th percentile, we first need to find the Z-score that corresponds to an area of 0.80 to the left. Using a Z-table or calculator, we find this Z-score to be approximately 0.84. We then use the Z-score formula to find the corresponding score, which is approximately 208.2.

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These values match the given sequence, so the function that describes the sequence is:

an = 5(2.2 + 0.8182n)ⁿ⁻¹

According to one definition, a function is a relationship between a number of inputs where each input has exactly one output.

To find the function that describes the given geometric sequence, we need to find the common ratio r. We can do this by dividing any term in the sequence by the previous term:

11/5 = 2.2

29/11 = 2.63636...

83/29 = 2.86206...

We can see that the common ratio is increasing, which suggests that the sequence is not a perfect geometric sequence. However, the differences between the ratios are getting smaller, so we can approximate the sequence as a geometric sequence with a changing common ratio.

Let's use the first two terms of the sequence to find an initial approximation for the common ratio:

r ≈ 11/5 = 2.2

Then, we can write the nth term of the sequence as:

an = 5(2.2)ⁿ⁻¹

However, we noticed that the common ratio is increasing, so we need to adjust our formula to account for this. Let's try a formula where the common ratio is a linear function of n:

an = 5(2.2 + 0.8182n)ⁿ⁻¹

Plugging in n = 1, 2, 3, and 4, we get:

a1 = 5(2.2 + 0.8182(1))⁰ = 5

a2 = 5(2.2 + 0.8182(2))¹ ≈ 11

a3 = 5(2.2 + 0.8182(3))² ≈ 29

a4 = 5(2.2 + 0.8182(4))³ ≈ 83

These values match the given sequence, so the function that describes the sequence is:

an = 5(2.2 + 0.8182n)ⁿ⁻¹

where n is the index of the term in the sequence.

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No, it is not possible for the two tangents to intersect each other outside the circle.

We have,

The concept used in this explanation is that a tangent to a circle is perpendicular to the radius at the point of tangency.

This is a fundamental property of circles and tangents, based on geometry and the definition of a tangent line.

No, it is not possible for the two tangents to intersect each other outside the circle.

This is because tangents to a circle are perpendicular to the radius at the point of tangency. If the tangents intersect with ed each other outside the circle, it would imply that they are not perpendicular to the radius, which contradicts the definition of a tangent.

Thus,

No, it is not possible for the two tangents to intersect each other outside the circle.

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Yes, it is possible for the two tangents to intersect each other outside the circle only when the tangents are perpendicular to the diameter. They will intersect at the point directly opposite to the center of the circle. This concept combines the properties of tangents and circles that are normally covered in high school geometry.

In the context Mathematics and Geometry, the situation you have described where two tangents to a circle meet at opposite ends of a diameter is indeed possible, but only in one specific scenario: when the tangents are perpendicular to the diameter and they intersect each other at the point directly opposite to the center of the circle. This is because, by geometry, a tangent to a circle is perpendicular to the radius at the point of tangency. Thus, if the tangents are drawn at the endpoints of a diameter, they will be parallel and will not intersect each other outside the circle.

In contrast, if the tangents are drawn such that they are perpendicular to the diameter, they will intersect at a point that is a distance from the center of the circle equivalent to the length of the radius, and directly opposite the center of the circle. This point of intersection of the tangents is outside the circle.

The properties of tangents and circles, which we use in the explanation, are part of the standard curriculum in high school geometry.

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Answer:

1/14

Step-by-step explanation:

It is given that the height of the wall is H.

Number of brick layers is n.

The height of the wall is proportional to the number of brick layers.

The walls height in inches is given by the formula:

h=3n

We can see from the above formula that the height of the wall increases by Three inches for every additional layers of bricks.

so we conclude the height of each brick layer is 3.

When n= 12,

h= 3n = 3 * 12 = 36 inches

so the bricks wall is 36 inches high with 12 layers. The result corresponds to point A (12,36) . As shown in the plot.

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_______ The given question is incomplete, the complete question is here:

A brick wall is being built with layers of bricks one on top of another. The height of the wall H is proportional to the number of brick layers n. The walls height in inches is given by the formula h=3n

Answer: C

Step-by-step explanation:

divide 342 by 7 and round to the nearest whole number

The true statement about the correlation is (d) yes, because it is not a positive correlation

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

a student noticed that when he watches television, he scores lower on his test grades

This means that

There is a negative correlation between the student watching television and the student's grade

A negative correlation implies that the student grade would reduce each time he watches television

i.e His scores would reduce if he watches television and his scores would increase if he does not watch television

So, the true statement is (d) yes, because it is not a positive correlation

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Answer:

Radius of the Inner circle:

5.4 is the diameter so find the radius, divide by 2 = 2.7

Next, take pi (3.14) and multiply with the radius (2.7), and use a power of 2.

3.14(2.7)^2 = 22.8906. Then round to the nearest tenth: 23.

Radius of Outer circle:

2.2 is the diameter so find the radius, divide by 2 = 1.1

Next, take pi (3.14) and multiply with the radius (1.1), and use a power of 2.

3.14(1.1)^2 = 3.7994. Then round to the nearest tenth: 4.

Radius of the Inner circle: 23

Radius of Outer circle: 4

Please let me know if it was correct!