After Myong's cylindrical birthday cake was sliced, she received the slice at right. If her birthday cake originally
had a diameter of 14 inches and a height of 6 inches, find the volume of her slice of cake.

Answers

Answer 1

Answer:

97.53 in³

Step-by-step explanation:

The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.

The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.

The volume of the full cake = πr²h = π(7²)6 = 924 in³

Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:

Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³

Volume of her slice = 97.53 in³

After Myong's Cylindrical Birthday Cake Was Sliced, She Received The Slice At Right. If Her Birthday

Related Questions

Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15

Answers

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

what is solution ?

a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation.  The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.

given

y = 3x + 1

y = 3x + 1

The two equations are independent and consistent since they cross at a single precise location.

y = 3x + 1

y = x + 3

The two equations are independent and consistent since they cross at a single precise location.

y = x + 3

These two equations are incompatible because they do not intersect.

y = x + 3

To identify which line it is, rearrange the first equation into slope-intercept form.

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

To know more about solution visit :-

https://brainly.com/question/30109489

#SPJ1

The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth. A) 971.7 cm3 B) 1072.3 cm3 C) 1137.4 cm3 D) 2143.6 cm3

Answers

Answer:

A

Step-by-step explanation:

ILLL GIVE YOU SO MANY POINTS (50 IF YOU ANSWER CORRECTLY AND MARK YOU BRAINLIEST BUT IF YOU DONT I WILL FLAG YOU
What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside larger triangle and outside smaller triangle) =

Answers

Answer:

Given:

Area of a triangle = (h*b) / 2

Area of smaller triangle = (4cm * 4cm) / 2 = 16cm² / 2 = 8 cm²

Area of larger triangle = (6cm * 10cm) / 2 = 60cm² / 2 = 30 cm²

30cm² - 8cm² = 22cm²

Probability that the point is inside the large triangle but outside the small triangle:

22cm² / 30cm² → 11/15 → 0.73 or 73%

Answer:

answering so you can give the other person brainiest! :0

Step-by-step explanation:

thanks for the points!

The linear factors of the cubic are .

Answers

Answer:

(x-2)(x - 3)(x - 5)

(x - 2)(x-3)(x - 5)(x + 5)

(x + 2)(x + 3)(x + 5)

(x + 2)(x+3)(x - 5)

Answer:

first option

Step-by-step explanation:

(x-2)(x-3)(x-5)

What decimal is equivalent to - 3 1/8?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-3 \dfrac{1}{8}}\\\\\mathsf{= - \dfrac{23}{8}}\\\\\mathsf{-23\div8 }\\\\\mathsf{= \bf -2.875}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -2.875}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Arturo has 9 cups of dog food he gives his dog 1/3 cup of food at each meal how many meals does Arturo have for his dog

Answers

Answer:

27 meals

Step-by-step explanation:

Divide 9 cups by (1/3 cup per meal):

    9 cups              9       3

--------------------- = ----- * ----- meals = 27 meals

1/3 cup / meal       1       1

Recall that division by a fraction is equivalent to multiplying by the reciprocal of that fraction:   Division by 1/3 is equivalent to multiplying by 3/1.

A bag contains colored tiles.
.
3 tiles are red
6 tiles are green
3 tiles are blue
.
A tile will be randomly selected from the bag. What is the probability in decimal form that the
tile selected will be green?
0.05
5.0
0.50
0.55

Answers

Answer:

0.50

Step-by-step explanation:

3+3+6=12

6 is half of 12

50% in decimal form is .50

help.pls it is urgent. ​

Answers

Answer:

b=50

c=28

a=16

Step-by-step explanation:

Find the product: 0.054 x 0.3 = ? OA. 0.162 ( B. 0.62. O c. 0.0162 O D. 0.00162​

Answers

the answer would be. cute

Answer:

0.0162 is the answer.

Step-by-step explanation:

Finding the product in math means multiplication.

0.054 x 0.3 = 0.0162

What is the solution to the system of equations 3x 2y 7 and Y 3x 11?

Answers

The solution of the given system of equations is x = -7/3 and y = 7.

The given system of equations is given as,

3x + 2y = 7

y = 3x + 11

To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.

3x + 2y = 7

y = 3x + 11

⇒ 3x + 2y - y = 7 - 11

⇒ 3x + 2y - 3x - 11 = -4

⇒ 2y - 11 = -4

⇒ 2y = -4 + 11

⇒ 2y = 7

Now, substitute the value of y in the first equation to find the value of x.

3x + 2(7) = 7

⇒ 3x + 14 = 7

⇒ 3x = 7 - 14

⇒ 3x = -7

⇒ x = -7/3

Therefore, the solution of the given system of equations is x = -7/3 and y = 7.

Learn more about equations here:

https://brainly.com/question/29657983

#SPJ4

What is the y-intercept of y= -3x + 6

Answers

It’s 6, because this equation is written in slope-intercept (y = Mx + b) in which b represents the y-intercept.

can somebody quickly answer this?
Lorraine prepared a 4.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?

Answers

Answer:10

Step-by-step explanation:

got the same question

Unit 5: Systems of Equations & Inequalities
Homework 3: Solving Systems by Elimination (Day 1)

Answers

Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:

=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

Equation: What is it?

A mathematical equation is a formula that joins two statements with the equal sign, or =, to express equality. All mathematical formulas, including equations, have an equal sign. Algebra is frequently utilized in equations. Algebra is used in mathematics when we don't know the exact quantity to compute. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14.

Here,

Any equation can be changed to intercept form by dividing by the constant on the right:

=> x/3 + y/3 =1

=> x/1.2 + y/(-1) = 1

These inform you that only graph A is appropriate because the x- and y-intercepts of the first equation are 3 in this case. Given that it has an x-intercept of 1.2 and a y-intercept of -1, the second equation also matches with graph A.

Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:

=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

To know more about equation visit:

brainly.com/question/649785

#SPJ1

I already got the answers for these but I wanted to check them. I’m supposed to find the area and use 3.14 for pi. Thanks.

Answers

Answer:

10.

A = 12² - 2(6×5)

A = 144 - 2×30

A = 144 - 60

A = 84 in²

11.

A = π(12/2)² - (π3² + 3×6)

A = π36 - (π9 + 18)

A = π36 - (π3² + 18)

A = 113.04 - (28.26 + 18)

A = 66.8 yd²

12.

A = 9² - (10×2 + π3²)

A = 81 - (20 + 28.26)

A = 81 - 48.26

A = 32.7 m²

Find the new amount.
I had 425 baseball cards and I sold 20% of them.
How many do I have left?


Answers

Answer:

425-(425×0.2)

425-85

340

Answer:

340 baseball cards

Step-by-step explanation:

You sold 20% of 420, therefore,

425 - 20% * 425 = 340

You have 340 baseball cards left.

Thenks and mark me brainliest :)

Find the volume of the prism

Answers

Answer:

5040

Step-by-step explanation:

The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?

Answers

Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

What is the area of circle?

The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.

Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2

By substituting π = 22/7 we get:

154 = (22/7)r^2

Solving for r, we get:

r = sqrt(154*7/22)

The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

By substituting the value of r we got before, we get:

C = 2πr = 2*(22/7)sqrt(1547/22)

To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:

C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches

Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

To learn more about Area of circle, Visit

https://brainly.com/question/14068861

#SPJ4

(a) Write an inequality for which 3, -4, 0, and 2,300 are solutions

(b) How many total solutions are there to your inequality?
(hurry)

Answers

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

To learn more about inequality refer to:

https://brainly.com/question/25275758

#SPJ4

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

To learn more about inequality refer to:

brainly.com/question/25275758

#SPJ4

What is the volume of this prism?

Answers

Answer:

17

Step-by-step explanation:

length*width*height=volume

5 * 2 * 1.7= 17

Solve the inequality n - 4/7> - 2/3

Answers

Answer:

N > -2/21

Step-by-step explanation:

Move -4/7 to the other side

n - 4/7 > - 2/3

n > - 2/3 + 4/7

Find a common denominator

n > - 14/21 + 12/21

Add

n > - 2/21

Given that ABC is a straight angle, if ABD measures 75°, then DBC
measures ____°.

Answers

Answer: 105

Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!

The volume of a right circular cylinder is represented by V = πr ²h
where r is the radius of the base (in feet). What is the radius of a right
circular cylinder when the volume is 144 π cubic feet and the height
is 9 feet?

Answers

The radius is 4 feet.

Plug in what you know to the formula you have:

144π = π(r)^2(9)
Divide both sides by pi to get rid of that.
144 = 9(r)^2
Divide both sides by 9
16 = r^2
r = square root of 16 = 4

What is the degree of this polynomial? y=5x^2 + 3x^6 -10x-8

Answers

Answer:  6

Reason: The degree is the largest exponent.

This rule only works when dealing with single variable polynomials.

The standard form is y = 3x^6+5x^2-10x-8; where the largest exponent term goes first, then the next largest, and so on.

A taxicab company charges $2.30 plus $0.80 per mile. Carmen paid a fare of $11.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.

Answers

The number of miles the taxicab traveled is 12.

The area of mathematics known as algebra aids in the representation of circumstances or problems into mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

Given that,

The fixed charges = $ 2.30

Additional charges per miles = $ 0.80,

Thus, the additional charges for x number of miles = $ 0.80x

So, the total charges for x number of miles = Fixed charges + additional charges

=> 2.30 + 0.80x

According to the question,

2.30 + 0.80x = 11.90 (this is the required equation)

Subtracting 2.30 from both sides,

0.80x = 9.6

Dividing both sides by 0.80

x = 12

Hence, the taxicab traveled 12 miles.

To know more about algebra visit: brainly.com/question/24875240

#SPJ4

subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)

Answers

Answer: [tex]\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

Step-by-step explanation:

Given

Subtract the expression

[tex]\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

What ordered pair is a solution to 5x -6y = -4

A. (3,-3)
B. (3,3)
C. (4,4)

Answers

Answer:

(4,4)

Step-by-step explanation:

5(4)-6(4)=-4

20-24=-4

-4=-4

Josh exercises no less than 40 minutes per day.
Use t to represent Josh's amount of exercise (in minutes per day).

Answers

Answer

x ≥ 40

Step-by-step explanation:

Since Josh only exercises more or equal to 40 min, this is how you would represent this problem.

You roll a six-sided number cube and flip a coin.What is the probality of rolling a number less than 2 and flipping heads

Answers

Answer:

1 / 12

Step-by-step explanation:

A six - sided coin :

Sample space = (1, 2, 3, 4, 5, 6)

Flipping a number less Than 2

Required outcome = (1)

P(number less Than 2) = required outcome / sole space = 1 / 6

Flipping a head from a coin toss :

Sample space = (H, T)

P(head) = 1 /2

P(number less Than 2 and flipping head) :

= 1/2 * 1 /6

= 1 / 12

i need help ASAP!!!!! this is graded and plzzzzz no links!!!!!!!!

Answers

Answer:

The formula of a trapezoid is:

B1(base 1) + B2(base 2) x H(height) x 1/2 (basically just dividing by 2)

In this case 9 and 3 are your bases so add them together to get 12.

Now we multiply 12 to the height! 12 x 3(height) = 36. Now we multiply 36 to 1/2 which is just dividing by 2, so 36 divided by 2 = 18

A person purchased an ounce of gold for $250 in January of 2000. The value of the
gold increased by 23% over the next 10 years. What is the growth factor?
1.35
0.75
0.23
0.64

Answers

0.64 is the answer to this question
Other Questions
Think about the color white and what Americans associate it with. What does white traditionally symbolize in the United States how might a sudden rise in CO2 in the blood affect the gas exchange process ? Why is there only 180 degrees in a triangle? If you are paid $42,000 per year, what is your type of payment?a.Commissionb.Salaryc.Waged.Pension Where does thebaby come form? Mrs. Garcia decided to reward her students/class with a party or a special treat at the end of the week for good behavior throughout the week. What theory is Mrs. Garcia using I need help with these questions ASAP!!!!!! Carlos took seven years to pay off his loan by making identical quarterly payments. the loan had a principal of $22,375 and 5.49% interest, compounded quarterly. carlos paid a total of $28,821.67. how much did carlos pay in service charges? round all dollar values to the nearest cent. a. $1,721.31 b. $4,725.36 c. $1,670.98 d. $6,446.67 please select the best answer from the choices provided a b c d Freud proposed that all children experience a(n) __________ in which they desire to displace their __________ parent and enjoy sexual access to the __________ parent. Solve each equation for both variables help please 15 points Help asappppp please In gene recombination what is used to separate or open vector DNA Which of the following BEST describes agriculture in Texas after the Civil War?a. It began depending on sharecropping.b. It was destroyed when slaves were freed.c. It increased cotton production.d. Even the poorest could afford to buy land. You have broken a school rule .Write a letter to the principal of your school explaining why you should not be punished NEED HELP I SUCK AT ELA(+BRAINLST)(+5 STARS)(+THANKS ON PROFILE)Determine the type of sentence given. After Norman missed the final shot of the game, his team yelled at him. SimpleCompoundComplexCompound-Complex Compare how Ji-li felt in her home at the beginning of the story to how she felt after the Red Guards searched her home. Use details from the setting to support your ideas.To see Ji-li's initial description of her apartment.help A container holds two gases at standard pressure. If the first gas exerts 359.42 mmHg, how much pressure does the second gas exert? 9. The lengths of the sides of four triangles are given.Which triangle is a right triangle?a. 16, 10, 20b. 10, 10, 10c. 11, 12, 13d. 9, 40, 41 A person who is in between jobs but actively engaged in a job search is considered to be a. frictionally unemployed b. structurally unemployed c. cyclically unemployed At the time of the Great Schism in 1054, Leo IX was the Pope of Rome and Michael Cerularius was the Patriarch of