Find the measures of the interior angles and please tell me all angles

We have the following expression given:

We can take common factor and we got:

And after simplify we got:

Answer:

I see no choices for variable expression.

Step-by-step explanation:

y = 4(5 + x)  [four times the sum of five and a number]

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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As per the given simple interest, the amount invested in each account is 50000, 60000, and 10000 respectively.

Simple interest:

In math, the method of calculating the interest amount for a particular principal amount of money at some rate of interest is known as simple interest.

Given,

Pierre inherited $506,000 from his uncle and decided to invest the money. He put part of the money in a money market account that earns 4.5% simple Interest. The remaining money was invested in a stock that returned 5% in the first year and a mutual fund that lost 4% in the first year. He invested $10,000 more in the stock than in the mutual fund, and his net gain for 1 yr was $3060.

Here we need to determine the amount invested in each account.

Let us consider the total amount invested on is written as,

=> X+Y+Z = 120000

And according tot he given details we know that,

=> Y = Z + 10000

AS we apply the interest, then we get,

=> 0.022X + 0.06y - 0.02Z = 2820  

Apply the value of y as z + 10000, then  we get,

=> X+(Z+10000) + Z = 120000

=> 0.022X + 0.06(Z+10000) - 0.02Z = 2820

Then we simplify this one then we get,

=> X + 2Z = 110000

=> 0.022X + 0.06Z + 600 - 0.02Z = 2820

=> 0.022(110000 - 2Z) + 0.06Z + 600 - 0.02Z = 2820

=> 2420 - 0.044Z + 0.06Z + 600 - 0.02Z  = 2820

=>3020 - -0.004z = 2820

=> 0.004z = 200

Therefore, the amount invested on the funds are 50000, 60000, and 10000

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Answer:

the answer would be $124.95

Answer:Hence, x = 5, y = 0 is the required solution.

Step-by-step explanation:

Answer:

There is only one solution

Step-by-step explanation:

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

pretty sure it's A

Step-by-step explanation:

scalene is no equal sides and obtuse is an angle greater than 90°

Answer:

R=42

Step-by-step explanation:

hoped this helps :D

Answer:

firstable give c+b a polynomial value like x

so its will be x^2+11x+30

after the we have to factor it

30=6×5

and 11=6+5

so its will become

(x+6)×(x+5)=x^2+11x+30

x=c+d

(c+d+6)×(c+d+5)=(c+d)^2+11(c+d)+30

have a great day

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

The Fourier transform of the given function x(t) = 2e^(-6tu(3t - 6)) + 2rect(-2t) - Δ(4t) is 2/(jω + 6) + 2sinc(ω/2π)*e^(-jω0t) - e^(-jω0t).

To find the Fourier transform of the given function x(t) = 2e^(-6tu(3t - 6)) + 2rect(-2t) - Δ(4t), where t ∈ (-∞, +∞), we can break it down into three parts and apply the Fourier transform properties:

Fourier transform of 2e^(-6tu(3t - 6)):

The Fourier transform of e^(-at)u(t) is 1/(jω + a), so the Fourier transform of 2e^(-6tu(3t - 6)) can be calculated as 2/(jω + 6).

Fourier transform of 2rect(-2t):

The Fourier transform of rect(t) is sinc(ω/2π), so the Fourier transform of 2rect(-2t) can be calculated as 2sinc(ω/2π)e^(-jω0t), where ω0 = 2π2 = 4π.

Fourier transform of Δ(4t):

The Fourier transform of Δ(t - t0) is e^(-jωt0), so the Fourier transform of Δ(4t) can be calculated as e^(-jω0t), where ω0 = 2π*4 = 8π.

Putting all the parts together, the Fourier transform of the given function x(t) is:

2/(jω + 6) + 2sinc(ω/2π)*e^(-jω0t) - e^(-jω0t).

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The score that a student received if his/her score was the 98.71st percentile is 1265 by using the Z-score formula.

The Z-score formula is:
Z = (X - μ) / σ

Where Z is the Z-score, X is the raw score, μ is the population mean, and σ is the standard deviation. In this case, the Z-score for the 98.71st percentile is 2.15 (from Z-score table), the population mean is 1050, and the standard deviation is 100. We can plug these values into the formula and solve for X:

2.15 = (X - 1050) / 100
2.15 * 100 = X - 1050
215 = X - 1050
X = 1265

Therefore, the score that a student received if his/her score was the 98.71st percentile is 1265.

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Here the equation given to us is,

\({\blue{\boxed{\pink{y = 2x + 1}}}}\)

Now what we have to do is, we have to put the value of x in brackets () in both the equations . Why we have to put value of x in a bracket?

This is because 2 is being multiplied by the variable x. So let's solve the equations

a) When x = 5, what is the value of y?

Put the value of x here

y = 2x + 1

y = 2(5) + 1

y = 10 + 1

y = 11

b) When x = -5, what is the value of y?

y = 2x + 1

y = 2(-5) + 1

y = -10 + 1

y = -9

ANSWERS :-

a) y = 11

b) y = -9

Answer:

your answer C.)11,779 feet

Step-by-step explanation:

also the other ch.at got max out....

Answer:

C.)11,779 feet

Step-by-step explanation:

I took the test and got it correct!

The given statement is FALSE.

In a two-dimensional array, both dimensions do not necessarily have to have the same number of elements. The syntax [10][10] implies a two-dimensional array with 10 elements in each dimension, resulting in a square matrix of size 10x10.

However, it is possible to have a two-dimensional array where the number of elements in each dimension differs. For example, an array declared as [5][3] would have 5 elements in the first dimension and 3 elements in the second dimension, resulting in a matrix with 5 rows and 3 columns.

The dimensions of a two-dimensional array represent its structure and the arrangement of its elements in rows and columns. It is common for arrays to have different sizes in each dimension to accommodate specific data requirements. This flexibility allows for more dynamic storage and manipulation of data.

For instance, you might need a two-dimensional array to store data in a tabular format, where the number of rows can vary while the number of columns remains constant.

Hence, it is not necessary for both dimensions of a two-dimensional array to have the same number of elements. Arrays can have different sizes in each dimension, providing flexibility in storing and organizing data based on specific requirements.

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Answer:

k = -11

Step-by-step explanation:

The Factor Theorem states that if (x - c) is a factor of the polynomial f(x), then f(c) = 0.

In this case, we know that (x - 3) is a factor of the polynomial f(x) = x³ + 4x² + kx - 30. Therefore, we can use the Factor Theorem to solve for k by equating f(3) to zero.

\(\begin{aligned}f(3)&=0\\\implies 3^3 + 4(3^2) + 3k - 30 &= 0\\ 27 + 4(9) + 3k +33 &= 0\\27+36+3k-30&=0\\3k+33&=0\\ 3k+33-33&=-33\\3k&=-33\\3k \div 3&=-33 \div 3\\k&=-11\end{aligned}\)

Therefore, the value of k is -11.

The product of rational numbers can always be expressed as the ratio of two integers, where the denominator is not zero.

The product of rational numbers can always be written as a rational number. A rational number is defined as the quotient of two integers, where the denominator is not zero. When we multiply two rational numbers, we are essentially multiplying the numerators and denominators separately.

Let's consider two rational numbers, a/b and c/d, where a, b, c, and d are integers and b, d are not equal to zero. The product of these rational numbers is (a/b) * (c/d), which can be simplified as (a * c) / (b * d). Since multiplication of integers results in another integer, both the numerator and denominator are integers.

Furthermore, as long as the denominators b and d are not zero, the product remains a valid rational number.

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Answer:

-3=3x+12

Step-by-step explanation:

Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

30 ÷ (15÷2.5) + 7

Given: 16 · (4.5 + 3) ÷ 10= ____

First let us do PEMDAS (Parenthesis, Equation, Multiply, Divide. Add, Subtract) upon the given value.

16 · (7.5) ÷ 10 = ____

       120 ÷ 10 = ____

                     = 12

We now understand that the given is equal to the value of 12, now we will calculate each equation with PEMDAS until we find the equivalent value.

20.8 + (3 · 4) ÷ 4 =

   20.8 + 12 ÷ 4   =

          20.8  +  3  =

                            = 23.8

24 ÷ (8 − 4) + 8.2 =

       24 ÷ 4 + 8.2 =

               6 + 8.2 =

                            = 14.2

30 ÷ (15 ÷ 2.5) + 7 =

            30 ÷ 6 + 7 =

                     5 + 7 =

                              = 12

36 ÷ (9 − 4.2) + 3 =

       36 ÷ 4.8 + 3 =

                7.5 + 3 =

                            = 10. 5

It is safe to say the following:

16 · (4.5 + 3) ÷ 10 ≠ 20.8 + (3 x 4) ÷ 4

16 · (4.5 + 3) ÷ 10 ≠ 24 ÷ (8 − 4) + 8.2

16 · (4.5 + 3) ÷ 10 = 30 ÷ (15 ÷ 2.5) + 7

16 · (4.5 + 3) ÷ 10 ≠ 36 ÷ (9 − 4.2) + 3

Therefore, the answer is:

16 · (4.5 + 3) ÷ 10 = 30 ÷ (15 ÷ 2.5) + 7

Hope this helps =D, happy learning !

The longest list of numbers that an average person can remember without any repetition is around 7 ± 2, according to Miller's Law.

Miller's Law suggests that the capacity of human short-term memory is limited to around 7 ± 2 items, or "chunks" of information. This means that if the professor reads a list of numbers to you without giving you a chance to repeat them, the longest list you are likely to remember is around 7 ± 2 numbers.

However, this capacity can be increased through the use of various memory strategies such as chunking, which involves grouping pieces of information into meaningful units. Additionally, the ability to remember numbers or any other type of information can vary greatly between individuals depending on factors such as age, cognitive ability, and previous experience with the material.

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Answer:

$5130.84  

Step-by-step explanation:

100 + 3 = 103%

103% = 1.013

$5000 x 1.013^2 = $5130.84

Hope this helps biiiieeee

There is a enough information to determine whether the quadrilateral is a parallelogram

As we observe the quadrilateral the pairs of opposite sides in a parallelogram are parallel.

This means that they have the same slope and will never intersect, even if extended indefinitely.

The lengths of the opposite sides in a parallelogram are equal.

This property distinguishes a parallelogram from a general quadrilateral.

The pairs of opposite angles in a parallelogram are congruent.

This means that they have the same measure, making them equal in size.

The given figure is a parallelogram as it satisfies all the properties of parallelogram.

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Regarding the situation described, we have that:

a. The ball travels 21.4 feet.

b. The assumption is that the ball was served at an angle of 90º.

c. The Pythagorean Theorem was used to solve this problem.

The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle(triangle which has an angle of 90º between the two legs) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following rule:

\(h^2 = l_1^2 + l_2^2\)

In the context of this problem, it is found that:

Assuming that the ball was served at an angle of 90º, the distance traveled by the ball is the hypotenuse of a right triangle of legs 7.5 feet and 20 feet, hence:

d² = 7.5² + 20².

d = sqrt(20² + 7.5²)

d = 21.4 feet. (which is Justin's estimate).

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Integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

Integration by ordinary substitution and integration by trigonometric substitution are two different techniques used to evaluate integrals in calculus.

Integration by ordinary substitution, also known as u-substitution, involves making a change of variables to simplify the integral. It is based on the chain rule for differentiation. The general steps for integration by ordinary substitution are as follows:

1. Identify a part of the integrand that can be replaced by a single variable, denoted by u.

2. Compute the derivative du/dx of the new variable u.

3. Substitute the expression for u and du into the integral, replacing the original integrand.

4. Integrate the resulting expression with respect to u.

5. Replace the variable u with the original variable or expression to obtain the final result.

Integration by trigonometric substitution, on the other hand, is a technique specifically used for integrals involving square roots of quadratic expressions or expressions with a combination of squares. It is based on trigonometric identities and is particularly useful when dealing with integrals that can be simplified using trigonometric functions. The general steps for integration by trigonometric substitution are as follows:

1. Identify a part of the integrand that can be expressed in terms of a trigonometric function.

2. Make a substitution using a trigonometric identity to replace the relevant part of the integrand.

3. Express all other terms in the integrand in terms of the same trigonometric function.

4. Simplify the integral using trigonometric identities and algebraic manipulations.

5. Integrate the resulting expression with respect to the new variable (usually denoted by θ).

6. Replace the trigonometric function with the original variable or expression to obtain the final result.

In summary, integration by ordinary substitution is a general technique for simplifying integrals by changing variables, while integration by trigonometric substitution is a specific technique for evaluating integrals involving square roots and trigonometric functions.

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Answer:

c

Step-by-step explanation:

If two number cubes are rolled, the odds in favor of getting two numbers less than 3 is 1 : 9.

Probability determines the odd that an event would happen. The odd the event occurs is 1 and the odd that the event does not occur is 0.

Odds in favor of getting two numbers less than 3 = (numbers less than 3 / total numbers) x (numbers less than 3 / total numbers)

2/6 x 2/6 = 1/9

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A rhombus has two pairs of parallel sides.

A rhombus is a quadrilateral with four sides of equal length. A rhombus's opposite sides are parallel to one another. It has 2 diagonals that bisect each other at a 90-degree angle. In a rhombus, all sides are the same length. The opposite angles are congruent, but the adjacent angles are not. The adjacent angles have a sum of 180 degrees, as with all quadrilaterals.

A rhombus is a special type of parallelogram. A parallelogram is a four-sided figure with two pairs of parallel sides. A rhombus has two pairs of parallel sides because it is a type of parallelogram. However, all sides of a rhombus are of the same length. Furthermore, a rhombus's opposite angles are equal. This implies that if the diagonal of the rhombus bisects each other at a 90-degree angle, the diagonals are perpendicular.

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Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height