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3 years ago

Question 5- Please help. Using a piece of pizza explain what arc length and area of the sector mean in two to three sentences.

Mathematics

1 answer:

pickupchik [31]3 years ago

3 0

Answer:

You'd have to look at the size of the pizza and then measure the size of the arc for each slice. The slice of pizza is how many topping is on it. The sector is how much pizza you are consuming from the center to the crust. The arc is the crust around the pizza.

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What is 5x-7(x+1)=9 Thanks for the help

mylen [45]

Answer:

x = -8

Step-by-step explanation:

Step 1: Write equation

5x - 7(x + 1) = 9

Step 2: Solve for x

Distribute -7: 5x - 7x - 7 = 9
Combine like terms: -2x - 7 = 9
Add 7 to both sides: -2x = 16
Divide both sides by -2: x = -8

Step 3: Check

Plug in x to verify it's a solution.

5(-8) - 7(-8 + 1) = 9

-40 - 7(-7) = 9

-40 + 49 = 9

9 = 9

8 0

3 years ago

Read 2 more answers

Hey Carpender buys $54.38 worth of parts for a supplier if he pays for the parts with the heart of the bill how much change will

Tcecarenko [31]

A carpenter buys $54.38 worth of parts from a supplier. if he pays for the parts with a $100 dollar bill, he will receive 100 minus 54.38 = 45.62 in change
hope this helps you good luck

5 0

3 years ago

Which of these rational numbers is the product of the other six? 2/99, 2/3, 5/7, 2 1/4, 2 1/3, 10/11, 18

Vesnalui [34]

Answer:

10/11

multiply to check on calculator

5 0

3 years ago

What 3 digit number has tens digit that is 5 more than the ones digit and a hundreds digit that is 8 less than the tens digit?

Darina [25.2K]

194 is your answer.
Since you have a three digit number the hundredth digit is not zero. Then from the fact that h = t -8, t must be 9, then u = 9-5 or 4.

8 0

3 years ago

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx$
[Area] Rewrite [Integration Property - Subtraction]: $\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx$
[Area] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}$
[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[Area] Subtract: $\displaystyle A = \frac{8}{21}$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

6 0

3 years ago