Mathematics College

Find the length of arc AB.

Answers

Answer 1

Answer:

11.17

Step-by-step explanation:

arc length = 2πr(θ/360)

= 2π(8)(80/360)

= 11.1701072...

= 11.17 to nearest hundredth

Related Questions

Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he wanted to have four separate small gardens, each of them exactly the same size and shape. In other words, “congruent.” Remember, all four gardens must fit exactly within the shape of the property as shown below; you can’t change the dimensions of the property or move things around - you have to keep your design within the original shape. Bryce came up with an ingenious design that fit the client’s request exactly. Can you figure out what his design was?

Answers

.........................................

Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?

Answers

Answer:

24 miles per gallon

Step-by-step explanation:

to find the unit rate you divide 192 by 8 and that is 24

so it takes Dominic 1 gallon to drive 24 miles

hope this helps!

The function f(x) = 9x +5 is one-to-one.
Find an equation for f-'(x), the inverse function.

Answers

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

[tex]y = 9x + 5[/tex]

Exchanging x and y:

[tex]x = 9y + 5[/tex]

Isolating y:

[tex]9y = x - 5[/tex]

[tex]y = \frac{x - 5}{9}[/tex]

[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Ryan bought a new phone case that was originally $80, it is now on sale for $60. What was the percentage change?

Answers

Answer: 25% decrease

Step-by-step explanation:

80 - 60

----------- = 20/80 = 1/4 OR 25%

Hope this helped :)

The answer is 25% ... 25% off 80 = $60.00

If f(x)=1−x^2 +x^3 , then f(−1)=

Answers

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate

Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1

Part 3. Use side to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS.!!!!

Answers

9514 1404 393

Answer:

1) Not Similar

2) Not Similar

Step-by-step explanation:

1) The side length ratios, shortest to longest, are ...

VU : UW : WV = 27 : 39 : 52 (reduced)

DC : CE : ED = 12 : 19 : 24 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

2) The side length ratios, shortest to longest are ...

MK : KL = 13 : 19 (reduced)

HK : KG = 6 : 9 = 2 : 3 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

Answer:

2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.

Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:

Answers

Answer:

Given

f(x) = 3 + 6x

Find the inverse of f(x):

x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6

f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6

f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = x

Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?

Answers

Answer:

8.6 years

Step-by-step explanation:

please help !! i’ll give 5 stars if help.

Answers

Answer:

true

Step-by-step explanation:

there are two x-intercepts

How do I deposit more money into my bank account

Answers

Answer:

When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).

Please Help Me!
*Question Is Below Here*

Answers

The product of this equation is 21 when the values of X and Y are imputed into the equation.

Answer:

Step-by-step explanation:

2^3=8

7x6=42

42x8=336

336/ (10.6+5.4)

336/ 16= 21

Answer 21

An angle turns through 1/360 of a circle. what is the measure, in degrees, of the angle. I really need help with this please.

Answers

Answer:

1 degree

Step-by-step explanation:

because a circle is 360 degrees

Please help me I really need to finish this

Answers

Answer:

Step-by-step explanation:

18. the area for each side is 1in^2 and there are 6 sides. so the area of 1 cube is 6 in^2. 6*3=18

Find the volume
Show work

Answers

Sir there seems to be a picture in your pixels.

i would assume the measurements (from left to right) is 34m 14m 20m and 14m

find the area of the triangle so split the 24 in half 12 and 12

then multiply 12*14 which is 168

i would assume the area is 168m^2

then multiply by 20m

3360m ^3

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!

Answers

9514 1404 393

Answer:

4) ΔEFG ~ ΔECD

6) Not Similar

Step-by-step explanation:

4) Shortest to longest sides are ...

EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)

EC : CD : DE = 7 : 8 : 10

The triangles have the same side length ratios, so are similar.

ΔEFT ~ ΔECD

6) Shortest to longest, the given sides have ratios ...

UT : TV = 71 : 84 (reduced)

GT : TH = 60 : 72 = 5 : 6 (reduced)

The side ratios are different, so the triangles are NOT SIMILAR.

Answer:

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!

A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?

Answers

Answer:

Aisha would pay 21 dollars for 8 slices.

Equation 2x(x=number of slices)+5

Step-by-step explanation:

Shreman drew a shape with these properties: •Four sides •Four right angles •Two sides have different lengths

Answers

Answer: the shape is a rectangle

Step-by-step explanation:

Answer:

Rectangle :)

Step-by-step explanation:

How many tryouts weighed MORE THAN 450 grams?

Answers

Answer:

Step-by-step explanation:

Basically count each doubt that is on the number line with a value greater than 450

Answer:

11 trouts

Step-by-step explanation:

Count the dots that are after the 450-gram mark.

Trouts that weigh 452 = 5

Trouts that weigh 454 = 2

Trouts that weigh 456 = 2

Trouts that weigh 458 = 1

Trouts that weigh 460 = 1

Then, add everything up.

5 + 2 + 2 + 1 + 1 = 11

So, 11 trouts weigh more than 450 grams.

Have a wonderful day!

whats 2+2 i dont know the answer .......................

Answers

Answer:

Step-by-step explanation:

Two cooies plus two cookies is four cookies.

4 :)

two plus two equal 4

Ty

The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?

Answers

The price after the 25% would be $15
Or it will be $45 off

The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000

Answers

Answer is b hope this helps

Express tan(-310°) as a function of a positive acute angle in
terms of tan x

Answers

guessing

360 - 310 = 50

-tan(50)

Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does
Abby need to get on her fifth quiz to have an average of exactly 91 on her history
quizzes?

Answers

Answer:

Explanation

To find the average we need to find the mean. So you have

87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.

(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)

Add or subtract. Th S. 29 + 46

Answers

Answer:

Add I think

If there is a plus sign shouldnt it be adding

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

Answer:

the volume is 120

Step-by-step explanation:

the formula for volume with length times width times height. Just multiply 3 x 5 x 8

Find two numbers a and b whose sum a+b is -3 and whose difference a−b is -5

Answers

Answer:

A=-4, b=1

Step-by-step explanation:

add those two function together u will got:

a+b+(a-b)=-3+(-5)

2a=-8

A=-4

-4+b=-3

B=1

please helpp me with this assignment

Answers

5^3 = 125
2^-4 = 1/16
5^-2 = 1/25
2^5 = 32

Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]

Calculating the sampling distribution of the sample mean:

[tex]\to \mu=\mu_\bar{x}=650[/tex]

Calculating the sampling distribution of the standard deviation:

[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]

find the surface area of each figure (spheres and hemispheres)

Answers

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1

Answers

9514 1404 393

Answer:

ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

MN/FG = 56/24 = 7/3

Answer:

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1

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