The diameter of a wheel is 150 cm, if the wheel travels 376.8 m, how many times does the wheel rotate?

Let's determine the ratio of 4,500,000 to 45,000.4,500,000 / 45,000 = 100. Therefore, 4.5 x 10^6 is 100 times larger than 4.5 x 10^4.

The scientific notation is used to represent very large or very small numbers. It is a shorter and more convenient way of expressing such numbers in multiplication and division.

This notation consists of two parts: the base number and the exponent, which tells how many times the base should be multiplied by itself.

Let us solve the problem,.

To begin with, let's convert both of these scientific notations into standard numbers.4.5 x 10^6 = 4,500,0004.5 x 10^4 = 45,000

Now, let's determine the ratio of 4,500,000 to 45,000.4,500,000 / 45,000 = 100. Therefore, 4.5 x 10^6 is 100 times larger than 4.5 x 10^4.

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\(\huge\boxed{\bold{Hi\;there!}}\)

We are given the slope of a line and a point that it passes through.

So, we can write the equation of the line in point-slope form:

\(\rm{y-y1=m(x-x1)\)

\(\rm{y+2=0(x-4)\)

\(\rm{y+2=0\)

\(\rm{y=-2\)

\(\huge\boxed{\rm{Answer:y=-2}}\)

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Answer:

y = -2

Step-by-step explanation:

Slope = 0, the line is parallel to x-axis

So, equation of line parallel to x-axis = y =b

y = -2

Answer:

I think it might be data and range

Step-by-step explanation:

the answer is at the top

Answer:

See Explanation

Step-by-step explanation:

According to The Question,

Given That, On a coordinate plane, ΔPQR and ΔSTU are shown. ΔPQR has points (4,4) , (-2,0) , (-2,4). ΔSTU has points (2,-4) , (-1,-2) , (-1,-4).

The distance between two points on the coordinate plane is given as:

Distance = \(\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }\)

IQRI = \(\sqrt{(-2_{}-(-2)_{})^{2} + (4_{}-0_{})^{2} }\) = 4

IPQI = \(\sqrt{(-2_{}-4_{})^{2} + (0_{}-4_{})^{2} }\) = √52

IPRI = \(\sqrt{(-2_{}-4_{})^{2} + (4_{}-4_{})^{2} }\) = 6

ISTI = \(\sqrt{(-1_{}-2_{})^{2} + (-2_{}-(-4)_{})^{2} }\) = √13

ISUI = \(\sqrt{(-1_{}-2_{})^{2} + (-4_{}-(-4)_{})^{2} }\) = 3

ITUI = \(\sqrt{(-1_{}-(-1)_{})^{2} + (-4_{}-(-2)_{})^{2} }\) = 2

Now, Verifying that the triangles are similar  

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2  

|PQ| / |ST| = √52 / √13 = 2

Hence,   |QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Answer: the answer is Complete the statements to verify that the triangles are similar.

StartFraction Q R Over T U EndFraction = ✔ 2

StartFraction P R Over S U EndFraction = ✔ 2

StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = ✔ 2

Therefore, △PQR ~ △STU by the ✔ SSS similarity

theorem.

Step-by-step explanation: it is show down below.

Answer:

see below

Step-by-step explanation:

domain is all x values for which a graph has
and range is all y values for which a graph has

domain in this case is -4<x<4. The range is -3<= x <= 3

Function is increasing when slope of the line is positive, function is decreasing when slope of the line is negative.

When 2 lines meet and there is an edge like at (-1,3) there is no increase of decrease of the function. If you are in calculus, this is because the derivative of the function will not be valid at those points. If you are not in calculus, then don't pay attention to the derivative stuff.

Function is increasing on interval -4<x<-1 and 2<x<4
Function is decreasing on interval -1<x<2

Answer in image

Step-by-step explanation:

Simplify both sides of the inequality.

Add 60 to both sides.

Divide both sides by 14.

r = 67/14 or 4.78571...

Answer:

b) 5:11

Step-by-step explanation:

count the orange squares and the white squares

Answer:

The first one is by using your mind. If you know that factorial of any non negative integer denoted by n!

defined as

n!=n(n−1)(n−2)⋯3⋅2⋅1

then 5!=5∗4∗3∗2∗1. You can calculate it in your mind which will give you 5!=120.

That's it.

The next method is using your calculator. In my calculator Casio fx-991es, I pressed 5 and then shift+x−1

button and I got 120. Similarly, you can use Google to calculate it like I did and got this.

Step-by-step explanation:

Answer:

W=6.58

Step-by-step explanation:

answer: w would be 6.58

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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Answer:

I mean its a 50% chance.

Step-by-step explanation:

Because you don't know if its heads or tails. But if its in that order then I think its tails.

Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

Answer:

3.5 miles assuming terry rode his bike 1 mile in 6 minutes

Step-by-step explanation:

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Answer:

9.02

Step-by-step explanation:

67/32 = 9.02

Bro my question was reported FOR NO REASON. I was asking about trigonometry.

Answer:

x > 7

Step-by-step explanation:

Antidisestablishmentarianism

Answer:

178.3 mm²

Explanation:

The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()

Answer:

Trevor, Julio, Chantal, Vern, Danica, Andre, August, Maximus

Step-by-step explanation:

$964

$1,010

$1,165

$1,286

$1,425

$1,430

$1,530

$1,575

Answer:

$964

$1,010

$1,165

$1,286

$1,425

$1,430

$1,530

$1,575

Step-by-step explanation:

Answer:

A cylinder and 2 half spheres

Step-by-step explanation:

Using my eyes, I see 1 cylinder and 2 half spheres at the ends of the cylinder.

The shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

A hemisphere is gotten when a sphere is cut into two equal halves. It is half of a shere.

From the Image, one can see that a cylinder and two hemispheres combined to form the composite figure.

Hence, the shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

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Volume of ice cream Cone = 753.6\(cm^{3}\)

A three-dimensional space's occupied volume is measured. It is typically quantified using a variety of imperial or US-standard units as well as SI-derived units. The definition of length and volume are connected.

According to the given information

Volume of toy ice cream Cone = Volume of Cone + Volume of Hemisphere

We are given that

Radius of cone = Radius of hemisphere = 6 cm

Height of cone = 8 cm

So

Volume of Sphere = \(\frac{1}{2}\) × \(\frac{4\pi r^{3} }{3}\)

                               = 1/2 × 4/3 × 3.14 × \(6^{3}\)

Volume of sphere = 452.16 \(cm^{3}\)

Volume of Cone = \(\frac{\pi r^{2}h }{3}\)

                            = 1/3 × 36 ×3.14 ×8

                            = 301.44 \(cm^{3}\)

So

The Volume of ice cream cone = 452.16 \(cm^{3}\) + 301.44 \(cm^{3}\)

                                                     = 753.6\(cm^{3}\)

Volume of ice cream Cone = 753.6\(cm^{3}\)

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Set up 2 equations:

Kyle: 5h + 3f = 14.50

Myles: 4h + 2f = 11.00

Lets get the two h's to cancel out.

Multiply Kyle by 4 and Myles by -5:

Kyle: 20h + 12f = 58

Myles: -20h - 10f = -55

Now add the two equations together:

2f = 3

Divide both sides by 2:

f = 3/2

f = 1.50

1 french fry cost $1.50

Now solve for the price of a hot dog:

5h + 3(1.50) = 14.50

5h + 4.50 = 14.50

Subtract 4.50 from both sides:

5h = 10.00

Divide both sides by 5:

h = 2

One hot dog cost $2.00

Answer:  X=12.7

Step-by-step explanation:

Sorry if its wrong I am pretty rusty with these kind of questions

The calculated length of the rectangle is 10.5 cm

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

Six identical right-angled triangle

The length of the right-angled triangle is

base length = 7 cm

based on the arrangement, we have

Rectangle length = base length + 1/2 * base length

So, we have

Rectangle length = 7 + 1/2 * 7

Evaluate

Rectangle length = 10.5

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Answer:

0,-2,-4

Step-by-step explanation:

Answer:

The correct answer is option A.

Step-by-step explanation:

Hi! Nice to meet you and have a great day.

Answer:

The answer is B.

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

this seems like a continuation of the question which was answered previously

we know angle AEB=135, using vertical angle theorem, AEB and CED are congruent, so CED=135

Answer:8.9477 mph

Step-by-step explanation:To convert a meter per second measurement to a mile per hour measurement, multiply the speed by the conversion ratio. One meter per second is equal to 2.236936 miles per hour, so use this simple formula to convert: