What is the slope in the equation
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Answer:

The volume of a cone is 1 3 π r 2 h \frac { 1 } { 3 } \pi r ^{ 2 } h 31πr2h, where r denotes the radius of the base of the cone, and h denotes the height of the cone.

Step-by-step explanation:

(happy to help)

Final answer:

The volume of a cone is derived using the principle of integrating infinitesimally thin discs along the height of the cone, given by the formula V = ⅓πr²h.

Explanation:

The formula for the volume of a cone is derived using calculus and geometric principles. Consider a cone generated by rotating a line around one of the coordinate axes. If we know the formula for the area A of a circle, it can be extended to find the volume of a cone. The area A of a circle is πr², where r is its radius. The formula for the volume V of a cone is ⅓ × base area × height, which can be expressed as V = ⅓πr²h, with h being the cone's height.

Using integral calculus, the cone's volume is found by stacking infinitesimally thin discs (each with volume πr²dx, where dx is the disc's thickness) along the cone's height. The radius r changes linearly from the base to the apex, following the relationship r = (h - x)tan(a), where a is the semivertical angle of the cone. Thus, you integrate from the apex (0) to the base (h) to find the entire volume of the cone.

Answer:

The elements contain in A U B is {11,12,13,14,15,16,17} .

There are 7 elements in A U B.

Answer:

C. Wen did not take the reciprocal of the divisor.

Answer:

14

Step-by-step explanation:

the edge of one slice of pizza is 5.5 and there are eight slices so i multiplied 5.5 by eight to get the circumference

the circumference is 44 so i divided that by pi to get the diameter which was 14 after you round

if your more of a numbers/formula person this might be more helpful:

circumference: 5.5 x 8 = 44

formula for diameter is  [tex]d=\frac{C}{\pi }[/tex]

so, [tex]d=\frac{44}{\pi }[/tex]

     [tex]d=14[/tex]

The diameter of the pizza is 14 inches.

Given that the pizza is divided into 8 equal slices and one of the outer edges measures 5 1/2 inches.

When need to find the diameter of the pizza.

The formula to find the circumference of the circle is 2πr.

Since a pizza is divided into 8 equal parts.

So, the circumference of 1 part=2πr/8=πr/4

πr/4=5.5 inches.

⇒πr=22

⇒r=7 inches.

Then, diameter=14 inches.

Therefore, the diameter of the pizza is 14 inches.

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Answer:

200

Step-by-step explanation:

90=.45x (x being the number)

(multiply by 100/45)

90(100/45)

9000/45=

x=200

Answer:

Her height is in between 150 and 160

Step-by-step explanation:

Given

h > 150

h < 160

Required

What do these represent?

First, the inequalities need to be combined.

If h < 160, then this means that 160 > h.

So, h > 150 and 160 > h can be combined to form an inequality in the following form;

160 > h > 150

This.meeans 160 is greater than h and h is greater than 150.

If this is related to her height, it means 160 is greater than her height and her height is greater than 150;

In other words, her height is in between 150 and 160

Answer:

23.7 ounce = 20 cents per ounce

33.8 ounce = 22 cents per ounce

The 23.7 ounce bottle is a better deal because it is only 20 cents per ounce, rather than 22 cents per ounce.

The two expressions are not equivalent to each other at r =2 and r = 5.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Use r = 2 and r = 5 to determine if the two expressions are equivalent.

r + 4(2 + r) – 12    8 + 2r – 6

First put r = 2 in both the expressions:-

E1 = 2 + 4 ( 2 + 2 ) -12

E1 =6

E2 = 8 + ( 2 x 2 ) - 6

E2 = 6

Secondly, put r = 5 in both the expressions.

E1 = 2 + 4 ( 2 + 5 ) - 12

E1 = 30

E2 = 8 + ( 2 x 5 ) -6

E2 = 12

The two expressions are not equivalent at r = 2 and r =5.

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Answer: 6, 12

Step-by-step explanation:

proof :)

To find the salesperson's total sales, we use the formula Commission = Sales x Commission Rate, where $60 is the commission earned at a 2% rate. Dividing $60 by 0.02 gives us the total sales of $3000 for that day.

The student has asked about calculating the total sales based on a commission earned by a salesperson. To find out the total sales we can use the formula: Commission = Sales * Commission Rate. Given that the salesperson earned a $60 commission at a 2% commission rate, we set up the equation: 60 = Sales * 0.02. To solve for Sales, we divide both sides by 0.02, which gives us Sales = 60 / 0.02. Thus, the total sales for that day were $3000.

Answer:

Let width be x metres

so, length is "9 metres more than twice the width" --> 9+2x

So, perimeter is x + x + (9+2x) + (9+2x) = 174

6x + 18 = 174

6x = 156

x = 156/6

x = 26m

width = 26m

length is therefore 9+2(26) --> 9+52 --> 61m

Step-by-step explanation:

Answer:

4^48

Step-by-step explanation:

you add the exponents

Answer:

[tex]4^{48}[/tex]

Step-by-step explanation:

[tex]4^{4} *4^{44} =4^{48}[/tex]

You can just calculate this if you'd like and it'd still be the same answer...

Answer:

15.7

Step-by-step explanation:

5 times 3.14 will give you circumference of a circle

Answer:

15.7 in

Step-by-step explanation:

Circumference = pi × d

3.14 × 5

15.7 inches

Answer:

About 30%

Step-by-step explanation:

Well, um...

If 64% did not, then 36% of them do.

So, about 30% Do.

Answer:62.64

Step-by-step explanation:

You have to multiply them

Answer:

100 grams is = to 0.1 kg

Step-by-step explanation:

100 grams is = to 10,000 mg which is incorrect. I am not sure what the other answer choices are, but C is your correct answer.

Final answer:

The measurements equivalent to one hundred grams are 10,000 centigrams (cg) and 0.1 kilograms (kg). The other options provided do not equal 100 grams.

Explanation:

To determine which measurements are equivalent to one hundred grams, we need to understand the relationship between different units of mass. In the metric system, mass is commonly measured in kilograms (kg), grams (g), and milligrams (mg), among others. Here is a reference based on the information you provided:

1 kilogram (kg) = 1000 grams (g)

1 gram (g) = 1000 milligrams (mg)

Now, let's evaluate each option provided in the question:

1,000 mg = 1 g (not 100 g)

10,000 cg = 100 g (since 1 g = 100 centigrams (cg))

0.1 kg = 100 g (since 1 kg = 1000 g)

10 hg = 1000 g (since 1 hectogram (hg) = 100 g)

Therefore, the measurements equivalent to one hundred grams are 10,000 cg and 0.1 kg.

Answer:

9. 2916 sq. cm

10. 864 sq. in

Step-by-step explanation:

9.)  54 cm * 54 cm = area of square

   (50 + 4)*(50 + 4) =  50*50 + 8*50 + 16

= 2500 + 400 +  16 = 2916 sq cm.

10.  24 in *  36 in. = area of rectangle

get:   (30 - 6)*(30 + 6) = 30^2- 6^2

= 900 - 36 = 864 sq. in.

Answer:

x=4

Step-by-step explanation:

to find RT, you would do the 60-60-90 rule and you would get 4, x and RT are the same value because of the 45-45-90 rule, so x=4

Answer: A cluster.

Step-by-step explanation:

A cluster has ups and downs and one peak.

Answer:

A: a cluster

Step-by-step explanation:

Answer:

x = 3.5

Step-by-step explanation:

diameter = radius × radius

d= ( 3x + 1 ) + ( x + 8 )

3x + 1 = x + 8

subtract 1 and x

2x = 7

divide by 2

x = 3.5

the answer is B. hope i helped

Answer:

I'm guessing they're asking about trig functions, topic test. Answer: B) 10 units^2

Step-by-step explanation:

just took the topic test on edge2021

Answer:

2004 cm²

Step-by-step explanation:

To solve this problem, you just need to plug your values into the rectangular prism formula: A=2(wl+hl+hw)

Assuming that the length is 21 cm, the width is 18 cm, and the height is 16 cm, your problem would look like this:

A=2((18x21)+(16x21)+(16x18))=2(378+336+288)=2x1002=2004 cm²

Answer:

Option D

Step-by-step explanation:

Assuming you're referring to slope, the rule is rise/run or "rise over run" so as i look at this line i see it rises 1 unit and then runs back or negatively 4 units, therefor the answer is D 1/-4

Please mark as brainliest :)

Answer:

I actually have no idea

Step-by-step explanation:

Answer:

either the ordered pair (3 , 4) or (3 , -4)

Step-by-step explanation:

a function is where there is only one x to each y value

each x value must not be the same

Answer:

11

Step-by-step explanation:

bkbkbk

Explanation:

There are 8 players. For each player, there are 7 people to shake hands with. So we have 8*7 = 56 handshakes so far; however, we double count since the sequence AB is the same as BA (where A and B are player names). Order does not matter when it comes to shaking hands. So we have to divide by 2 to fix the double count. We go from 56 to 56/2 = 28. There are 28 different combinations.

You can use the formula [tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex] with n = 8 and r = 2, but the formula is a bit confusing to be honest if you aren't familiar with it. The exclamation marks indicate factorials.

Extra info: The value 28 can be found in Pascals triangle. Look at the row that starts with 1, 8, ... then note how 28 is in the third slot. Keep in mind that you start at r = 0 and count up by 1. So r = 2 corresponds to the third slot.

Answer:

8  players in total

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

8+8+3 = 19