Mr. Vara is designing post caps in the shape of a square pyramid for a fence that he just built in his backyard. The caps are solid wood and each one has a volume of 94. 5 cubic centimeters

Answer:

\(\huge\boxed{\sf tan \theta = 2.5}\)

Step-by-step explanation:

In the figure,

Hypotenuse = 26.9 cm

Opposite = 25 cm

Adjacent = 10 cm

We know that,

tan θ = 25 / 10

\(\rule[225]{225}{2}\)

Answer:  tanФ = perpendicular ÷  base.  hence, tanФ = 25÷10  

= 2.5.

Step-by-step explanation:   According to the triangle ,

perpendicular= 25

base = 10.

tanФ = perpendicular ÷ base.

tanФ = 25÷10

tanФ = 2.5.

Answer:

i am bored in a house thats the only thing i could say

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

18x+5+18x-5=180(because they are interior angles)

38x=180

=36x/36=180/36

=5degrees

The center and vertices of the ellipse x² + 9y² + 16x - 54y + 136 = 0 is

Generally, The standard form of the equation of an ellipse is (x-h)^2/a^2 + (y-k)^2/b^2 = 1, where (h,k) is the center of the ellipse and a and b are the semi-major and semi-minor axes respectively.

To convert the given equation to standard form, complete the square by adding and subtracting constants to both sides: x² + 16x + 81 + 9y² - 54y + 324 = 410

This results in: (x + 8)²/16 + (y - 3)²/9 = 1

Therefore, the center of the ellipse is (h,k) = (-8,3) and the semi-major and semi-minor axes are a = 4 and b = 3.

To find the vertices of the ellipse, substitute the center coordinates into the equation of the ellipse and solve for x and y. Since the semi-major and semi-minor axes are 4 and 3, respectively, the vertices are located at: (h ± a, k) = (-8 ± 4, 3) and (h, k ± b) = (-8, 3 ± 3)

Therefore, the vertices of the ellipse are (-12,3) and (-4,3), (-8,6) and (-8,0).

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Answer:

2

Step-by-step explanation:

Answer:

their night cost them $33.21

Step-by-step explanation:

Answer: True.

Step-by-step explanation:

do the math and u will see

No, The segments shown below could not form a triangle.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Three line segment with measure 9 , 4 and 15 are shown.

We know that;

The sum of two sides of a triangle are always greater than the third side,

Here, 9 + 4 = 13 < 15

Hence, The segments shown below could not form a triangle.

Thus, The segments shown below could not form a triangle.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

7

Step-by-step explanation:

\(8.05 \times 12 = 96.6\)

\(96.6 \div 13.80 = 7\)

i think this is the answer

Answer:

the answer is 7 pounds of apples for $8.05

Step-by-step explanation:

you first divide $13.80/12= 1.15

then when you multiply 1.15x7 it will give you 8.05 as an answer.

To prevent misunderstandings, it's crucial to pronounce each symbol and operation loudly when reading mathematical statements.

An expression, which is used to indicate a mathematical relationship or calculation, is a set of numbers, symbols, and operators. Variables are placeholders for unknowable values that can subsequently be replaced by known values and are a common component of expressions. For instance, "2x + 3" denotes a calculation that involves multiplying 2 by a variable x, adding 3, and then doing the addition. The calculation represented by the formula "3y - 7" involves multiplying 3 by a variable called y and then taking that number out. In addition, parentheses, exponents, and other mathematical operations can be used in expressions to define more complicated calculations.

given

A/b+2 can be understood as "A divided by b plus 2."

To prevent misunderstandings, it's crucial to pronounce each symbol and operation loudly when reading mathematical statements.

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Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:

\(x = \frac{2(A_T) }{(AB) + (AC) + (BC)} \)

An inverse does not exist for a parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

An inverse does not exist for a parabola.

One definition of a parabola includes a line and a point (the focus) (the directrix).

The directrix is not the main focus.

The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.

Therefore, an inverse does not exist for a parabola.

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Answer:

125.

Given:

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

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125 is the attendance of locals

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

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a) To show that p is surjective, we need to show that for any element z in Z, there exists an element a in S such that p(a) = z. This is true because for any integer z, we can take a = z.

b) The kernel of p is the set of all elements a in S such that p(a) = 0. This set is equal to {0} because the only element a in S such that p(a) = 0 is a = 0.

c) The ideal J is not prime because it is not maximal. The ideal J is not maximal because there exists an ideal I in S such that J is a proper subset of I and I is not equal to the entire ring S. The ideal I is the set of all elements a in S such that a is even.

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Answer:

12

Step-by-step explanation:

You count all of the blue squares

On solving the provided question, we can say that - The provided arithmetic sequence's 66th term is -950.

An arithmetic sequence is a set of integers that are ordered and have a common difference between each following word.An ordered group of integers with a shared difference between each word is known as an arithmetic sequence.

The given arithmetic sequence is,

25, 10, -5, .....

The sequence's initial word, a, equals 25, while the common difference, d, equals -15.

Use the formula nth term of arithmetic series = a+ (n-1)d to determine the 66th term of the sequence.

66th term =

\(25 + (66-1)(-15)\\ = 25 + 65× (-15)\\ = 25 - 975\\ = -950\\\)

The 66th term of the arithmetic sequence is -950.

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Finding the missing number from the first 100 numbers in the given array arr[] of size N-1 with integers in the range [1, N] is the task. The list doesn't contain any duplicates.

Java method for locating a missing integer in an array of integers from 1 to 100

class GFG; import java.io.*; import java.util.*

public static void findMissing(int arr[], int N)

{

 int i;

 int temp[] = new int[N + 1];

 for (i = 0; i <= N; i++) {

  temp[i] = 0;

 }for (i = 0; i < N; i++) {

  temp[arr[i] - 1] = 1;

 } int ans = 0;

 for (i = 0; i <= N; i++) {

  if (temp[i] == 0)

   ans = i + 1;

 } System.out.println(ans);

}

public static void main(String[] args) {

 int arr[] = { 1, 3, 7, 5, 6, 2 };

 int n = arr.length; // Function call

 findMissing(arr, n);

}

}

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Therefore, William needs to read 12 more pages to complete his homework.

To find the remaining pages to read to complete his homework first we will add the total number of pages he has to read and then subtract the number of pages that already read.

William was assigned to read 10 pages on the first day and 15 pages on the second day, for a total of 10 + 15 = 25 pages. He has already read 13 pages, so he needs to read 25 - 13 = 12 more pages to complete his homework.

Therefore, William needs to read 12 more pages to complete his homework.

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Answer:

67

Step-by-step explanation:

When two angles are complimentary, it means that, together, they make a 90 degree angle.

/_A + /_B must equal 90°

The probability density function is defined as the derivative of the cumulative distribution function. It represents the relative likelihood of a continuous random variable taking on a specific value. The total area under the probability density curve is always equal to 1.

For a continuous random variable X, the probability density function f(x) satisfies the following properties:

1. Non-negativity: f(x) ≥ 0 for all x.

2. Integrates to 1: The integral of the probability density function over the entire range of X is equal to 1:

  ∫[−∞, ∞] f(x) dx = 1

This integral represents the total area under the probability density curve, which must be equal to 1.

To calculate the probability of X falling within a certain interval [a, b], we can use the probability density function as follows:

P(a ≤ X ≤ b) = ∫[a, b] f(x) dx

This integral gives the probability that X takes on a value between a and b.

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Answer:

8

Step-by-step explanation:

AC=AB+BC

2X+26=1+x+16

2x-x=1+16-26

X= - 9

Now, AC=2X+26

=2*-9+26

= - 18+26

=8

Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

5,364 → 5,000

Therefore, 5,364 rounded to the nearest thousand is 5,000

Answer:

5000

Step-by-step explanation:

See, the thousands digit is not really in play, if the hundreds place is 5+, you raise the thousand up and if it's 4 or less, you round it down

Have you heard of 'five or more, raise the score, four or less, let it rest'

And for ex: 3678 rounded to the nearest thousand is 4000

Answer:

60,000

or

sixty thousand