i need to know the answer

The value of PQ is 1.

Given is a right triangle PQR, where ∠P and ∠R = x° and PR (hypotenuse) = √2, We need to find the value of PQ,

Since the angles P and R are equal so the sides PQ and QR are equal by the definition of postulate of triangles,

Therefore,

Using the Pythagoras theorem,

PQ² + QR² = PR²

PQ² + PQ² = √2²

2PQ² = 2

PQ² = 1

PQ = 1

Hence the value of PQ is 1.

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Answer:

B sorry if im incorrect

Step-by-step explanation:

Answer:

refer pic

sorry for messy handwriting

hope it help u and i appreciate if you give brainliests, thanks

Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day

Answer:

a) 6 cups

Step-by-step explanation:

We can use a ratio for this:

sugar : flour

2 : 3

x : 9

2       3

---  =  ---

x        9

Cross multiply:

2 (9) = 3x

18 = 3x

6 = x

x = 6

To double-check, you can plug the value back into the ratio and make them fractions, then simplify to see if it gets the original amount. Here's what I'm talking about:

2 : 3

x : 9     ======>     6 : 9

\(\frac{6}{9} \frac{/3}{/3} = \frac{2}{3}\)

The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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Answer:

x = -5

Step-by-step explanation:

Original Equation:

4 = x + 9

Subtract 9 from both sides

-5 = x

So x = -5

Hope this helps :)

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Answer:

-5

Step-by-step explanation:

instead of adding ur subtracting

9-4=-5

This is the expression for ∂z/∂u using the Chain Rule.

To find ∂z/∂u using the Chain Rule, we first need to find the partial derivative of z with respect to r and θ.
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Next, we can use the Chain Rule to find ∂z/∂u:
∂z/∂u = (∂z/∂r) * (∂r/∂u) + (∂z/∂θ) * (∂θ/∂u)
We know that r= 6 uv and θ = √(u^2+v^2 ), so we can substitute those values in:
∂z/∂u = (e^(r cos θ) cos θ) * (6v) + (-e^(r cos θ) r sin θ) * (u/√(u^2+v^2 ))
Simplifying this expression, we get:
∂z/∂u = 6ve^(6uv cos(√(u^2+v^2 )))cos(√(u^2+v^2 )) - (u/√(u^2+v^2 ))e^(6uv cos(√(u^2+v^2 )))r sin(√(u^2+v^2 ))
We have z = e^(r cos θ), r = 6uv, and θ = √(u^2 + v^2). We need to find ∂z/∂u.
Using the Chain Rule, we get:
∂z/∂u = (∂z/∂r)(∂r/∂u) + (∂z/∂θ)(∂θ/∂u)
First, let's find the partial derivatives of z:
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Now, find the partial derivatives of r and θ with respect to u:
∂r/∂u = 6v
∂θ/∂u = u / √(u^2 + v^2)
Now, substitute these partial derivatives back into the Chain Rule formula:
∂z/∂u = (e^(r cos θ) cos θ)(6v) + (-e^(r cos θ) r sin θ)(u / √(u^2 + v^2))
This is the expression for ∂z/∂u using the Chain Rule.

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Answer:

Radus: 2, Center (3,-4)

Step-by-step explanation:

You first move the constant to the right then reorder the terms: x^2+y^2-6x+8y=-21.

You then complete the square: x^-6x+9+y^2=-21+9

Then factor: (x-3)^2+y^2+8y=-12

Then complete the square for the other term:

(x-3)^2+y^2+8y+12=-12+16

Then factor: (x-3)^2+(y+4)^2=4

4 is the radius squared, so the radius must be 2.

The center is the opposite of the constant in the parenthesis so the center must be (3,-4)

Answer:

24

Step-by-step explanation:

12 * 2 = 24

The unknown angle of the right triangle is as follows:

∠CBA = 28.8°

The triangle is a right triangle because one of its angle is equals to 90 degrees.

The angle  ∠CBA, can be found using trigonometric rations,

hence,

tan ∅ = opposite / adjacent

where

∅ = ∠CBA

Therefore,

tan ∠CBA = opposite / adjacent

opposite side = 5.6 m

adjacent side = 10.2 m

Hence,

tan ∠CBA = 5.6 / 10.2

tan ∠CBA = 0.54901960784

tan ∠CBA = 0.54901960784

∠CBA = tan⁻¹ 0.54901960784

∠CBA = 28.7676493388

∠CBA = 28.8°

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Using all the guidelines of drawing a curve skitching in this section, the sketch of curve, y = ³√x² - 25 is present in above figure. So, option(c) is right answer here.

In geometry, curve sketching (or curve tracing) are methods for producing a rough idea of overall shape of a plane curve. We have a curve equation, f(x) or

\(y = \sqrt[3]{x² - 25}\). Guidelines or important points for curve sketching :

As we see provide equation or function has no point of discontinuity and domain is set of reals.

If x = 0 , then y = 0 so y-intercept= 0. Similarly, when y = 0 then x = ±5.

The value of f( -x) = \( \sqrt[3]{ { x}^{2} - 25} \) = f(x) ( since (-1)² = 1 ) , so, then y is even and symmetric about the y−axis.

Differentiating equation (1), \( \frac{dy}{dx} = \frac{1}{3 }( x²- 25)^{-2/3}2x \)

Now, plug dy/dx = 0 for determining the critical points, \( \frac{1}{3} ( x²- 25)^{-2/3}2x = 0\)

So, critical points are x = 0, 5, -5.

Differentiating again, equation,

\(f''(x) = \frac{ - 4x² }{3}( x² - 25)^{-5/2} + \frac{2}{3}( x² - 25)^{-1/3} \\\)

\(f''(x) = \frac{ - 4x² }{3}( x² - 25)^{-5/2} + \frac{2}{3}( x² - 25)^{-1/3} \\ \)

At x = 0, f"(x) = y"(x) < 0, and

points of inflation are \(f''(x) = \frac{ - 4x² }{3}( x² - 25)^{-5/2} + \frac{2}{3}( x² - 25)^{-1/3} = 0\\ \)

\( \frac{2}{3}( x² - 25)^{-1/3} = 0 \)

so, x = ±5. Hence, the required sketch present in above figure.

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Complete question:

The above figure complete question.

use the guidelines of this section to sketch the curve. y = ³√x² − 25.

Answer:

1.6E+12 = 1.6 x 10¹²  = 1,600,000,000,000  

Step-by-step explanation:

the calculator give the answer it did because the display Cara's calculator does not support all the numbers. Her calculator displays the number in scientific format.

The coordinate (13, 22) is not on the line since the y-coordinate is 21

The equation of a line in point slope form is expressed as:

y - ya =m(x-xb)

where

m is the slope = 3/2

(xa, ya) is the point. = (1, 3)

Substitute

y - 3 = 3/2(x - 1)

For the coordinate (3, 6). Substitute x = 3and check if the output will be 6

y = 1.5(3 - 1) + 3

y = 1.5(2) + 3

y = 6

Hence the coordinate (3, 6) is on the line since the y-coordinate is 6

For the coordinate (0, 0). Substitute x = 0 and check if the output will be 0

y = 1.5(0 - 1) + 3

y = 1.5(-1) + 3

y = 1.5

Hence the coordinate (0, 0) is not on the line since the y-coordinate is 1.5

For the coordinate (13, 22). Substitute x = 13 and check if the output will be 22

y = 1.5(13 - 1) + 3

y = 1.5(12) + 3

y = 18 + 3 =21

Hence the coordinate (13, 22) is not on the line since the y-coordinate is 21

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Answer:

first multiples of 2 and second multiples of 1

Answer:

10.4476119402

Step-by-step explanation:

If you want a reasonable answer it would be 10.44 or 10.4!

The best approximation for how far the average person walks in a year is 816 miles, given that the average person takes about 5900 steps daily while he walking.

In the question, we are given that a person on average takes about 5900 steps daily while walking, and are asked for the best approximation of the distance traveled by the average person in a year.

The daily average number of steps taken = 5900 steps.

Thus, the average number of steps taken in a year = 5900 * 365 steps = 2153500 steps.

We are given that each step is about 2 ft. long.

Thus, the average distance traveled in a year = 2153500*2 ft. = 4307000 ft.

We are given that there are 5280 feet in a mile, which implies that, 1 foot is equivalent to 1/5280 miles.

Thus, the average distance traveled in a year = 4307000/5280 miles = 815.719696969 miles ≈ 816 miles.

Thus, the best approximation for how far the average person walks in a year is 816 miles, given that the average person takes about 5900 steps daily while he walking.

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The provided options are incorrect.

Answer:

24

Step-by-step explanation:

6*4=24

Answer: C

Step-by-step explanation:

Because it has the least area

Without information on the shapes and sizes of the triangles, it's impossible to determine which one has a different area. The area of a triangle is calculated using the formula: Area = 1/2 × base × height or through the Pythagorean theorem for right-angled triangles.

Unfortunately, the question lacks the required information (i.e., the shapes and sizes of the five triangles) to provide an accurate answer. To identify which of the five triangles has a different area, we need to know their sizes or have enough data to determine their areas. Normally, the area of a triangle is calculated using the formula: Area = 1/2 × base × height. If the triangles are right-angled, you can also use the Pythagorean theorem, a² + b² = c², to find the length of sides and then find the area. However, without the dimensions or a diagram of the triangles, it's not possible to identify the triangle with a different area.

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The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

UwU

Step-by-step explanation:

Use the distributive property to factor a monomial out of a polynomial. Factors are numbers that multiply together to produce another number. For example, 2 and 10 are factors of 20, as are 4 and 5 and 1 and 20. Factoring is the process of breaking a number down into its multiplicative factors.

Answer: Factoring is the opposite of using the distributive property to multiply. If you had: 7(3x + 8), you would distribute the 7 and multiply it both both terms. Factoring reverses that process.

Step-by-step explanation: Hope am right!

Answer:

C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.

Step-by-step explanation:

The 4 basic characteristics of axiomatic systems are:

The undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.

Answer:

f(x) has been translated to the left 9.

Step-by-step explanation:

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

Herein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:

Now we proceed to solve the inequality given:

||x - 4| - 7| < 5

- 5 < |x - 4| - 7 < 5

0 < |x - 4| - 2 < 10

|x - 4| - 2 > 0 and |x - 4| - 2 < 10

Case 1: |x - 4| - 2 > 0

|x - 4| > 2

x - 4 > 2 and x - 4 < - 2

x > 6 and x < 2

Case 2: |x - 4| - 2 < 10

|x - 4| < 12

x - 4 < 12 and x - 4 > - 12

x < 16 and x > - 8

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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Probability of getting an even number in the first 2 tries and 3 in last 3 tries = 1/24

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Total no. of outcomes = \(6^{3}\)

                                    = 216

Outcomes that are asked in question are = (2,2,3), (6,2,3), (2,4,3), (6,4,3), (2,6,3), (6,6,3), (4,2,3), (4,4,3), (4,1,3)

Total outcomes = 9

\(Probability=\frac{9}{216}\\\)

                    \(=\frac{1}{24}\)

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Answer:

the length of the square is (2x+3)

Step-by-step explanation:

hope it helps<333

The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".

To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:

Distribute the multiplication:

z * (z + 6) * z * (z + 6) * z + (z + 6)

becomes

z * z * z * (z + 6) * (z + 6) * z + (z + 6)

Combine like terms:

z * z * z simplifies to \(z^3\)

(z + 6) * (z + 6) simplifies to (z + 6)^2

The expression now becomes:

\(z^3 * (z + 6)^2 * z + (z + 6)\)

Multiply \(z^3\) and z:

 \(z^3 * z\) simplifies to \(z^4\)

The expression becomes:

  \(z^4 * (z + 6)^2 + (z + 6)\)

So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".

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Answer:

\(196\pi\)

Step-by-step explanation:

The question wants you to find the area of a circle with a radius of 14.

The formula for the area of a circle is:

\(\pi r^2\)  where r is the radius

Plug in r=14

\(14^2\pi\)

Simplify

\(196\pi\)