Solve for x using pythagorean theorem (round to nearest hundredth

Answer:

See below.

Step-by-step explanation:

This question cannot be answered with the information that is given since we don't know what f(x) or f^-1(x) are.

The sum of the lengths of the other two sides of a right triangle will be 841.

We have,

The shortest leg of a right triangle = 29,

And,

According to the question,

The other leg and hypotenuse of a right triangle are consecutive whole numbers,

i.e.

Let,

Other leg = x,

And,

Hypotenuse = x+1,

So,

Now,

Using Pythagoras Theorem,

(Hypotenuse)² = (Perpendicular)² + (Base)²

i.e.

H² = P² + B²

So,

Now Putting values,

i.e.

(x+1)² = x² + 29²

So,

On Solving we get,

x² + 1 + 2x = x² + 841

⇒

x² + 2x - x² = 841 - 1

We get,

2x = 840

So,

x = 420

I.e.

Other leg = 420,

So,

Hypotenuse = x+1 = 420 + 1 = 421,

Now,

The sum of the lengths of the other two sides of right triangle,

i.e.

Hypotenuse + Other leg = 420 + 421 = 841

Hence we can say that the sum of the lengths of the other two sides of a right triangle will be 841.

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The following answer is correct

Argument A is an example of a deductive argument. It is valid since the conclusion follows logically from the premises. In terms of soundness, more information is required to make a determination.

To provide a more detailed explanation, please see below:Deductive arguments are those where the premises imply the conclusion. They seek to demonstrate that the conclusion follows necessarily from the premises. An argument is valid when the premises lead logically to the conclusion, meaning that if the premises were true, the conclusion would also have to be true. In Argument A, the premises are "all triangles have three sides" and "an isosceles triangle is a triangle." The conclusion is "an isosceles triangle has three sides."The conclusion follows necessarily from the premises, so the argument is valid. However, in order to determine if it is sound, we would need to confirm the truth of the premises. Are all triangles really three-sided? Is an isosceles triangle really a type of triangle? If we can confirm the truth of these premises, then the argument is also sound. If we cannot, then the argument is unsound.

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Answer:

In picture

Step-by-step explanation:

Brainliest please

Answer:

Since 10% like neither, then 90% must like tea(T), coffee(C) or both(B). So what % like both? That % would have to be deducted from both the tea and coffee likers to arrive at tea only (TO), coffee only (CO) and those liking both and the three would have to sum to 90%, since 10% like neither. So whatever % the 120 represents it must be deducted from both the tea and coffee likers. I don’t know how to add graphics but in equation form

50-x + 70-x + x + 10 = 100, 130-x = 100, -x = -30, X = 30%,

120/30% = 400, 50%(T)-30%(B)=20%(TO) or 80, 70%-30%=40% or 160, 30% or 120, and 10% or 40

80+160+120+40=400

Answer:

Step-by-step explanation:

  50%        70%                 10%

like tea    like coffee      don't like both

100%-10% =90%

                   like coffee,tea or both

   50%  +   70%         =120%  -   90%   =   30%

like tea + like coffee  =          -           =    like both

LIKE BOTH           30%=`120

means 1%=4

100%=400

Borrowing at low interest rates is a significant factor in the rising standard of living in the United States.

The correct answer is c) low interest rates; rising.

Borrowing at low interest rates is a major reason for the rising standard of living in the United States. When interest rates are low, it becomes more affordable for individuals, businesses, and the government to borrow money for various purposes such as purchasing homes, starting businesses, or investing in infrastructure.

Low interest rates mean that the cost of borrowing is lower, allowing people to access credit more easily and at a lower cost. This enables individuals and businesses to make large purchases or investments that they might not be able to afford otherwise. For example, low mortgage interest rates make homeownership more affordable, and low business loan rates facilitate entrepreneurship and business expansion.

Moreover, low interest rates can stimulate economic activity and boost consumer spending, which further contributes to a rising standard of living. When people can borrow money at lower costs, they have more disposable income, which can be spent on goods and services, driving economic growth and job creation.

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The point of intersection of the line L and the plane 7 is (-9, 28, 42). Hence, the correct is A. (-9, 28, 42)

Given, equation of line is [x, y, z] = [1, −2, 2] + t [−1, 3, 4]

And equation of plane is 3x - 5y + 4z + 9 = 0

Substituting the value of x, y and z from the equation of line into the equation of the plane,

we have;

3(1 - t) - 5(-2 + 3t) + 4(2 + 4t) + 9 = 0

⇒ 3 - 3t + 10 - 15t + 8 + 16t + 9 = 0

⇒ -2t + 20 = 0

⇒ t = 10

Substituting the value of t = 10 into the equation of the line,

we have;

[x, y, z] = [1, −2, 2] + t[−1, 3, 4]

[x, y, z] = [1, −2, 2] + 10[−1, 3, 4]

[x, y, z] = [1, −2, 2] + [-10, 30, 40]

[x, y, z] = [-9, 28, 42]

Therefore, the point of intersection of the line L and the plane 7 is (-9, 28, 42).

Hence, the correct is A. (-9, 28, 42).

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Answer:

B) 1.5

Step-by-step explanation:

Answer:

A. 2 km

Step-by-step explanation:

1.8/0.9 is 2

the constant of proportionality is 2

1*2=2

The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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This simple proportion equation will result to 592

In mathematics, a proportion is a statement that two ratios or fractions are equal. It expresses the relationship between two quantities or sets of quantities that are proportional or have a constant ratio to each other.

For example, the statement "2/3 = 4/6" is a proportion, which means that the ratio of 2 to 3 is the same as the ratio of 4 to 6. This proportion can be simplified by dividing both sides by 2, giving "1/3 = 2/3", which means that one-third is equal to two-thirds.

Proportions are commonly used in various fields such as finance, science, and engineering to solve problems related to scaling, measurement, and comparison.

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Set up the proportion:

\(\dfrac{235}{100\%} = \dfrac{x}{60\%}\)

Solve for x by cross multiplication

\(x=\dfrac{(60\%)(235)}{100}\)

\(\bold{x = 141}\)

well, let's convert 1 foot to inches, that'd be 12 inches per foot.

so we know that the souvenir is 1/80 in, to the actual of 12 inches on the Eiffel Tower, if the Tower itself is 1069 feet high, namely (1069)(12) inches, how high is the souvenir?

\(\begin{array}{ccll} \stackrel{in}{souvenir}&\stackrel{in}{actual}\\ \cline{1-2} \frac{1}{80}&12\\[1em] x&(1069)(12) \end{array}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{x}~~ = ~~\cfrac{12}{(1069)(12)}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{12}{12828} \\\\\\ \cfrac{1}{80}\cdot \cfrac{1}{x}=\cfrac{1}{1069}\implies \cfrac{1}{80x}=\cfrac{1}{1069}\implies 1069=80x\implies \cfrac{1069}{80}=x\implies 13.4\approx x\)

Answer:

6/1 GO GO GO

Step-by-step explanation:

Answer:

  3√2

Step-by-step explanation:

You want the distance between the parallel lines ...

On a graph, the lines are separated by 6 units vertically or horizontally. The slope of each is 1, so the slope of a perpendicular line will be -1.

One way to think of the distance between the lines is as the altitude of the right triangle with legs equal to the horizontal and vertical distances between the lines. That altitude is 6/√2 = 3√2.

The distance between the lines is 3√2 ≈ 4.24264.

__

Additional comment

The distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

If a point satisfies the equation x -y +2 = 0, then its distance from parallel line x -y -4 = 0 will be ...

  |-2 -4|/√(1² +(-1)²) = 6/√2 = 3√2

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The equation of a line in the slope-intercept form is:

Where m is the slope and b is the y-intercept. These values are given, then the equation of the line is:

To graph it, we need to know the coordinates of at least two points on the line.

Whan x=0, then y is:

Thus, the first point is (0,-4).

When x=1, then y is:

The second point on the line is (1,0).

If we draw these points in the coordinate plane, we can draw a line that passes through them, and this will be the graph of the line.

It looks like this:

Answer:

1. 1/18

2. 49/144

3. 5/24

4. 1/4

Step-by-step explanation:

FULL DISCLAIMER these may or may not be correct i have only worked with stats and probability a few times

The relative frequency that an artwork is a sculpture and at gallery A​ is 11%

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

The table of values (see attachment)

The relative frequency that an artwork is a sculpture and at gallery A​ is the intersection of gallery A and sculpture

using the above as a guide, we have the following:

Gallery A and sculpture = 11%

Hence, the relative frequency is 11%

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We are given the following endpoints

A (2, 4) and B (17, 14)

We need to find point P such that the segment is in the rato of 2:3

Total segments = 2+3 = 5

The x-coordinate of the point P is given by

The y-coordinate of the point P is given by

Therefore, the point P is (8, 8)

Answer:56 feet

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

i multiplied 7x8 and got 56

Answer: 67%

Step-by-step explanation:

1/3 + 1/3= 0.6666666666

Answer:

5% I really don't know so if you want to just look it

1.) y+2= -5/6(x-2)

y+2= -5/6x-1 2/3

y= -5/6x+ 1/3

y-intercept= 1/3 (b)

2.) y-3= -5/7(x+2)

y-3= -5/7x-1 3/7

y= -5/7x+ 1 4/7

y intercept= 1 4/7

The Bit Error Probability (BER) for an Amplitude Shift Keying (ASK) system with a bit rate of 4 Mbit/s is 0.0107. The received waveforms s₁(t) = Asin(2πft) and s₂(t) = 0 are coherently detected with a matched filter.

The value of A is 1 mV. The bit rate of the system is 4 Mbit/s.The single-sided noise power spectral density is N₁ = 10⁻¹¹ W/Hz. Signal power and also energy per bit are normalized to a 1 Ω load.
Amplitude Shift Keying (ASK) is a digital modulation technique that employs two or more amplitude levels to transmit digital data over the communication channel. The amplitude of the carrier signal varies with the modulating signal that contains the message signal, and the message signal is transmitted by varying the amplitude of the carrier wave. To detect the modulating signal, the ASK system uses a coherent detector with a matched filter. Bit Error Rate (BER)The Bit Error Rate (BER) is defined as the number of bits received in error compared to the total number of bits that were transmitted during a given time interval. The BER measures the digital communication system's performance and the transmission accuracy of the digital signal.
BER = 1/2 erfc [ √(Eb/No) ]. The formula to calculate Bit Error Probability for Amplitude Shift Keying (ASK) is given as BER = (1/2) erfc [ √(Eb/N₀) ] whereN₀ is the single-sided power spectral density of the noise Eb is the energy per bit of the signal.
We know that,
N₁ = 10⁻¹¹ W/Hz= 10⁻¹⁴ W/mHz, (Since 1 Hz = 10⁶ mHz)
A = 1 mV= 10⁻³ VEb = 1/2 A²= 1/2 (10⁻³)²= 5 × 10⁻⁷ J/bit,
(Energy per bit, since signal power is normalized to a 1 Ω load)
Bit rate, R = 4 Mbit/s = 4 × 10⁶ bit/s.
Now, the power spectral density of the single-sided noise is given by,
N₀ = N₁ × BW= N₁ × (2R) = 10⁻¹⁴ × 8 × 10⁶= 8 × 10⁻⁸ W/Hz
We know that, BER = (1/2) erfc [ √(Eb/N₀) ].
Substituting the given values, we get:
BER = (1/2) erfc [ √(5 × 10⁻⁷/ 8 × 10⁻⁸) ]= (1/2) erfc [ √6.25 ]= (1/2) erfc [2.5] = 0.0107.
Hence, the Bit Error Probability (BER) for an Amplitude Shift Keying (ASK) system with a bit rate of 4 Mbit/s is 0.0107.

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The value of the 7th term of the geometric progression is 223.9488

Based on the information given,

First term = 75

Second term = 90

Common ratio = 90/75 = 1.2

The nth term of a geometric progression is calculated as:

\(a_n=ar^{r-1}\)

The 7th term will then be:

\(= 75 \times (1.2)^6\)

\(=75\times2.985984\)

\(=223.9488\)

Therefore, the value of the 7th term of the geometric progression is 223.9488.

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Answer:

I got 24,000 by doing 479 to 2.s.f which is 480 and you'll do the same for 49.82 which is 50 therefore, 480 x 50 =

24,000

Step-by-step explanation:

The new coordinates of the image are

A' (1, -5)  

B' (5, -3)

C' (3, -1)

The coordinates of the preimage are

A (1, 3)

B (5, 1)

C (3, -1)

The absolute distance of the y coordinates to line y = -1 is obtained and added used to get the distance from -1 in any side of the reflection

Reflection over line y (x, y) → (x, -y) this considers only the y values

A (1, 3) from 3 to -1 is 4 units hence -1 - 4 = -5 = A' (1, -5)  

B (5, 1) from 1 to -1 is 2 units hence -1 - 2 = -3 = A' (5, -3)  

C (3, -1) from -1 to -1 is 0 units hence -1 - 0 = -1 = A' (3, -1)  

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Answer:

Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5.

Step-by-step explanation:

hope this helped <3

Answer:

2 x 2 x 2 x 2 x 5

Step-by-step explanation: