Line v is parallel to line w.
/R
Which set of statements about the angles is true?
O 41 26, 22=24, 23= 25
O21= 25, 22 = 24, 23 = 26
/E
ש
24/1
S
19

Answer:

2812 people

Step-by-step explanation: There are 38 buses and each holds 74 people so 38 x 74= 2812

Hope this helps :)

The simplified form of the given expression is 1. Using the trigonometric functions sin b = 7/25.

The Pythagorean identity is a trigonometric identity that relates the values of sine and cosine of an angle in a right triangle.

a)Given cos(b) = 24/25, we can use the Pythagorean identity to find sin(b):

sin(b) = √(1 - cos²(b))

         = √(1 - (24/25)²)

         = √(1 - 576/625)

         = √(49/625)

         = 7/25

Now we can use the definitions of the trigonometric functions to find the remaining values:

cos(b) = 24/25

sin(b) = 7/25

tan(b) = sin(b)/cos(b) = (7/25)/(24/25) = 7/24

csc(b) = 1/sin(b) = 25/7

sec(b) = 1/cos(b) = 25/24

cot(b) = 1/tan(b) = (24/7)

b) By simplifying the given expression using the identity:

\(tan x = sin x / cos x\)

\(cos x+sinxtanx=cosx+sinx(sinx/cosx)\)

By multiplying through by cos x,

cos² x + sin x sin x = cos² x + sin²x

Using the identity sin² x + cos² x = 1,

cos² x + sin² x = 1

cos x + sin x tan x = 1

The simplified form of the given expression is 1.

c) tan²α(csc²α-1)=1 for all values of α where csc α ≠ 0.

To know more about Pythagorean identity visit:

https://brainly.com/question/95257

#SPJ1

Answer:

b or c i think

Step-by-step explanation:

not for sure just a guess

Answer:

\(c= \dfrac{9}{4}\)

Step-by-step explanation:

For a function f(x) to satisfy the Mean Value Theorem, it must satisfy the following conditions:

Given \(f(x)=\sqrt{x}$ in [0,9]\)

1. f(x) is defined and continuous on [0,9] since a polynomial function is continuous everywhere.

2. f(x) is differentiable in the interval (0,9) since a polynomial function is differentiable everywhere.

\(f(9)=\sqrt{9}=3\\f(0)=\sqrt{0}=0\\f'(x)=\dfrac{1}{2\sqrt{x} }\)

3.By the mean value theorem:

\(f'(c) = \displaystyle\frac{f(b)-f(a)}{b-a}\\\\\frac{1}{2\sqrt{c}} = \frac{f(9) - f(0)}{9-0} = \frac{3}{9}\\\\\frac{1}{2\sqrt{c}} = \frac{1}{3}\\\\$Cross multiply$\\\\2\sqrt{c}=3\\\\$Square both sides$\\\\(2\sqrt{c})^2=3^2\\\\4c=9\\\\c= \dfrac{9}{4}\)

Answer:

  t(r) = log(r)/log(5) = log₅(r)

Step-by-step explanation:

You want the inverse of r(t)=5^t.

An exponential function is solved using logarithms.

  \(r = 5^t\qquad\text{given}\\\\\log(r)=t\cdot\log(5)\qquad\text{take logarithms}\\\\\boxed{t(r)=\dfrac{\log(r)}{\log(5)}}\qquad\text{divide by the coefficient of t}\)

The change of base formula can be used to simplify this a bit.

  \(\boxed{t(r)=\log_5(r)}\)

__

Additional comment

The latter form of the inverse function can be found directly at the first step by taking logarithms base 5.

The notation here is slightly different from the usual "inverse function" notation, where we designate the inverse of f(x) using f⁻¹(x). The notation we have used recognizes that the function r(t) generates ordered pairs (t, r), and the inverse function t(r) generates ordered pairs (r, t).

You are welcome to make use of whatever inverse function notation will satisfy your grader.

Let:

1 = Get a 1

2 = Get a 2

3 = Get a 3

4 = Get a 4

5 = Get a 5

6 = Get a 6

H = Get heads

T = Get tails

The set of all possible outcomes of the experiment is:

Therefore, the only tree diagram which displays the outcomes correctly is the one in the option A.

The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

for such more question on exponents

https://brainly.com/question/4077992

#SPJ8

Answer:

the first one is (23)

number 7 is ( 34.069)

Step-by-step explanation:

Answer:

\(y = \frac{1}{2} x + 7\)

Step-by-step explanation:

Slope-intercept form is written as y = mx + b. So, the y must be isolated. Therefore, to answer this question, isolate the y in 2y - x = 14.

1) Move the x to the other side.

\(2y - x = 14\\2y =x+14\)

2) Divide all terms by 2 to finally isolate x.

\(2y = x + 14\\\frac{2}{2}y= \frac{x}{2} + \frac{14}{2} \\y = \frac{1}{2} x + 7\)

3) Therefore, \(y = \frac{1}{2} x + 7\) must be the answer.

Answer:

No, Pythagorean Theorem can't be used here for finding the missing sides of the triangle.

Because Pythagorean Theorem is used in triangles having one of its sides right angled but here in the diagram non of the sides of the triangle are right angled .

Answer:

NO

Because pythagorean Theorem is used to find the missing side in the triangle if the other sides are there

A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

To learn more about the function from the given link

https://brainly.com/question/10439235

#SPJ1

The value of the given problem by using box method is 2546.

Multiplication computations involving numbers greater than ten can be simplified using the grid method, sometimes referred to as the box method, which is also known as the method of boxes. Making a table with the first factor's place values along the top and the second factor's place values down the left is how you multiply two numbers using the box approach. Place values are multiplied, and their products are added to the table. Clear up the table. In arithmetic, there is an alternative to the lengthy, error-prone classical multiplication approach: the box method. Multiplication of two or more digits is made easier with the use of the box approach.

X       60        7

30    1800    210

8       480      56

Therefore, 1800+480+210+56=2546

Therefore, the value of the given problem by using box method is 2546.

To know more about box method, visit:

https://brainly.com/question/22370010

#SPJ1

Answer:

Step-by-step explanation:

25 km / 100 km/hr = 0.25 hr or 15 minutes

It will take 0.25 hours to travel 25 km.

Given

A train travels from point A to B at a speed of 100km/h.

Distance;

Distance is defined as the product of speed and time.

The following formula is used to calculate the time;

\(\rm Time =\dfrac{Distance}{Speed}\\\\\)

Substitute all the values in the formula;

\(\rm Time =\dfrac{Distance}{Speed}\\\\\rm Time =\dfrac{25}{100}\\\\Time = 0.25 \ hours\)

Hence, it will take 0.25 hours to travel 25 km.

To know more about distance click the link given below.

https://brainly.com/question/3615948

Beginning

Let's use proportion to answer this question.

Introduction:

To answer this question, we take the extremes and multiply it with each other and we take the middle terms and multiply with each other. In the end, we divide and get the value of x.

The word "extremes" defines that the last two terms in a proportion.

The phrase "middle terms" defines that the middle two terms in a proportion. Below is the solution.

Solution:

Conclusion:

Hence, the answer to your problem is 90 grams.

\(BrainiacUser1357\)

The coordinates of V' include the following: V' (-5, -10).

In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.

In this scenario an exercise, we would dilate the coordinates of V at (-2, -4) by applying a scale factor of 2.5 that is centered at the origin as follows:

V (-2, -4) → V' (-2 × 2.5, -4 × 2.5) = V' (-5, -10).

Read more on dilation and scale factor here: brainly.com/question/4421026

#SPJ1

Answer:

27 1/2

Step-by-step explanation:

8 5/8 + 12 = 20 5/8

3/4h = 20 5/8

Divide 20 5/8 by 3/4 = 27 1/2. Therefore h = 27 1/2.

Answer:

h=55/2

Step-by-step explanation:

3/4h-12=69/8 simply 8 5/8

+12. +12. add 12 to each side

multiply each side by 4/3

h=55/2 or 27 1/2

Answer:

A. 46,000

B. 24,000

C. 51,000

Step-by-step explanation:

Follow the rule, 5 or over round up.

Answer:

Rounding to the nearest hundred ;

a) 45678 —> 45700

b) 24055 —> 24100

c ) 50505—> 50500

I hope I helped you^_^

Answer:

Thus, 12+14+16=42.

Step-by-step explanation:

Hope this helps.

16+23=39

180-39=151

Answer:

151

Answer:

b. 120°

Step-by-step explanation:

K is any point outside of the circle with center M.

KJ and KL are tangents to the circle at points J and L respectively drawn from point K.

MJ and ML are radii of the circle with center M.

Since, tangent is perpendicular to the radius of the circle.

\( \therefore m\angle MJK = m\angle MLK = 90\degree \\\)

Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.

\( \therefore m\angle JML = m\widehat {(JL)} \\

\therefore m\angle JML = 60\degree \\\)

Since, JKLM is a quadrilateral. Hence by angle sum postulate of interior angles of quadrilateral JKLM, we have:

\( m\angle JML + m\angle MJK + m\angle MLK \\+ m\angle JKL= 360\degree \\

\therefore 60\degree +90\degree +90\degree +m\angle JKL= 360\degree \\

\therefore 240\degree +m\angle JKL= 360\degree \\

\therefore m\angle JKL= 360\degree-240\degree \\

\huge \purple {\boxed {\therefore m\angle JKL= 120\degree}} \\\)

The measure of angle JKL is 120 degrees and the correct choice is B.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given that K is any point outside of the circle with center M.

Since KJ and KL are tangents to the circle at points J and L respectively drawn from point K. also MJ and ML are radii of the circle with center M.

We know that measure of central angle of a circle is equal to the measure of its corresponding minor arc.

Given, JKLM is a quadrilateral.

The angle sum postulate of interior angles of quadrilateral JKLM, we have:

Angle JKL + 90 + 60 + 90 = 360

Angle JKL = 360 - 240

Angle JKL = 120

Learn more about circle here;

brainly.com/question/12512221

#SPJ6

Answer:

The probability that 45 randomly selected laptops will have a mean replacment time of 4.4 years or less is P(M<4.4)=0.0468.

Step-by-step explanation:

We have a population normally distributed with mean 4.5 years and standard deviation of 0.4 years.

Samples of size n=45 are selected from this population.

We have to calculate the probability that a sample mean is 4.4 years or less.

Then, we calculate the z-score for the sample mean M=4.4 and then calculate the probability using the standard normal distribution:

\(z=\dfrac{M-\mu}{\sigma/\sqrt{n}}=\dfrac{4.4-4.5}{0.4/\sqrt{45}}=\dfrac{-0.1}{0.06}=-1.677\\\\\\P(M<4.4)=P(z<-1.677)=0.0468\)

The probability that 45 randomly selected laptops will have a mean replacment time of 4.4 years or less is P(M<4.4)=0.0468.

Answer:

the domain for the function y=log(x+3) is (-3,oo).

The domain of the function y = log(x + 3) is (−3, +∞), or in interval notation, (−3, ∞).

The domain of the function y = log(x + 3) is the set of all possible values that x can take without making the expression undefined.

For the logarithmic function y = log(x), the argument of the logarithm (x in this case) must be greater than zero, otherwise the result is undefined.

So, to find the domain of y = log(x + 3), we need to solve the inequality x + 3 > 0, which gives x > -3.

Thus, the function y = log(x + 3) is (−3, +∞), or in interval notation, (−3, ∞) is the answer.

For more details regarding domain, visit:

https://brainly.com/question/29452843

#SPJ7

The volume of the solid rounded to the nearest whole number is approximately 262 cubic units.

If we rotate a semicircle about its diameter, we get a solid called a hemisphere. The volume of a hemisphere is given by the formula:

V = (2/3)πr³

where r is the radius of the hemisphere.

In this case, the diameter of the semicircle is given as 10, so the radius is half of that, i.e., r = 5. Substituting this value in the formula, we get:

V = (2/3)π(5)³

= (2/3)π(125)

= 250π/3

≈ 261.8

What is the area and volume of hemisphere?

The curved surface area of a hemisphere = 2r² square units. The total surface area of a hemisphere = 3r² square units. The volume of a hemisphere is determined by the formula (⅔)r cubic units.

To know more about the Volume visit:

https://brainly.com/question/15861918

#SPJ1

The acres of land Leo plant with soyabeans is 108 acres.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given that,

Total farms of land = 576 acres

Part of land planted soyabeans = 3/16 of total farms of land

Putting the values we get,

Part of land planted soyabeans = 3/16 of 576 acres

Simplifying we get,

Part of land planted soyabeans = 3/16 * 576 acres

Solving we get,

Part of land planted soyabeans = 1,728/16 acres

Thus, we get

Part of land planted soyabeans = 108 acres

this is the required acres of land with soyabeans.

Thus, the acres of land Leo plant with soyabeans is 108 acres.

To learn more about fractions :

brainly.com/question/445498

#SPJ1

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

The answer for it is diagram B because it does not cross or have parallel lines

The height of cylinder when volume of 480 cubic meters is  480/r^2.

Volume serves as a measure for an object's storage capacity. For instance, a cup's volume is said to be 100 ml if it can hold 100 ml of water when filled to the brim. The amount of space a three-dimensional object occupies is another way to define volume.

A solid's volume can be calculated by counting how many unit cubes it contains, such as in the case of a cube or cuboid. The best way to understand volume is to think of it as the area surrounded or occupied by any solid object or object with three dimensions. This can be seen by performing the following easy exercise at home:

volume of cylinder V is = πr²h

where, r  = radius of cylinder

h = height of cylinder

V = 480π cubic meters

Now, calculate its height in terms of cylinder radius using the volume of cylinder formula:

V = πr²h

480π =  πr²h

h = 480π/ πr²2

h = 480/r²

Therefore, The height of cylinder when volume of 480π is  480/r².

Learn more about volume

https://brainly.com/question/463363

#SPJ9

The equivalent expressions are B: 2(12m-6p+36) and (c): 12(2m-p+6)

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

24m-12p+72

Factor out 2 from the expression

So, we have

2(12m-6p+36)

This represents the option (b)

Factor out 12 from the expression

So, we have

12(2m-p+6)

This represents the option (c)

Read more about expression at

https://brainly.com/question/4344214

#SPJ1

Answer & Step-by-step explanation:

In this problem, we a re given two points. These points are (-4, 3) and (-2, -1). We can use these points and put them into the slope formula.

\(Slope=\frac{y2-y1}{x2-x1}\)

Now, plug in the points to their respectful places.

\(Slope=\frac{-1-3}{-2-(-4)}\)

\(Slope=\frac{-4}{2}\)

\(Slope=-2\)

So, your slope of the the line is -2.