A circle with the are 16pi has a sector with the central angel of 8/5 radians

Answers

Answer 1

Answer:

3/2 units^2

Step-by-step explanation:

The area of the entire circle is 16π.  What is the area of a sector of this circle if the central angle (not angel) is 8/5 radians?

Formula:   (fraction of circle represented by the sector)(area of the circle

Area of the sector described above is

  8/5 radians                                         8*16π square units

----------------------- * 16π square units = ------------------------------ = 3/2 units^2

    2π radians                                                      10π


Related Questions

What is the y-intercept of y = 50 - 1?

Answers

Answer:

49 or -1

Step-by-step explanation:

(im going to assume you meant y=50-1 and not y=50x-1)

The intercept would literally be 49 since 50-1=49

y=50x-1 would mean the y intercept is -1

Answer:

the y intercept is (0,49) Plz give branliest i need to level up

Step-by-step explanation:

50 - 1 = 49

y always equals 49

so the y axis is at x coordinate 0 and y intercept is at the y axis

so the point is (0,49)

Ten students on student council are running for president, vice president, and
secretary. How many different permutations are there for the 3 positions?

Answers

Answer:

Step-by-step explanation:Using the word "HAPPY" (let's distinguish the P's as P1 and P2). ... The first person is the president , the 2nd is the Vice President and the 3rd is the Secretary so it ... Q-Four different items have to be placed in three different boxes.

Final answer:

There are 720 different permutations for filling the three positions (president, vice president, and secretary) among ten students on the student council.

Explanation:

The question asks for the number of different permutations there are for three positions (president, vice president, and secretary) among ten students on the student council.

This is a classic permutation problem in which order matters.

To calculate this, we can use the formula for permutations of 'n' items taken 'r' at a time, which is denoted as nPr and calculated as

n! / (n-r)!

where

'!' denotes factorial.

For this case, with ten students (n=10), and selecting three positions (r=3), the calculation would be:

10! / (10-3)! = 10! / 7! = 10 x 9 x 8 = 720.

Therefore, there are 720 different permutations available for the three positions on the student council.

What is the surface area of the triangular prism shown below
???

Answers

Given:

Given that the base of the triangle is 4 cm.

The height of the triangle is 3 cm.

The height of the prism is 8 cm.

The other side of the triangle is 5 cm.

We need to determine the surface area of the triangular prism.

Surface area of the triangular prism:

The surface area of the triangular prism can be determined using the formula,

[tex]SA=bh+(s_1+s_2+s_3)H[/tex]

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 4, h = 3, s₁ = 4, s₂ = 3, s₃ = 5 and H = 8, we get;

[tex]SA=(4)(3)+(4+3+5)(8)[/tex]

[tex]SA=12+(12)(8)[/tex]

[tex]SA=12+96[/tex]

[tex]SA=108 \ cm^2[/tex]

Thus, the surface area of the triangular prism is 108 square cm.

Answer:

Step-by-step explanation:

What is the image of (5,-8)(5,−8) after a reflection over the x-axis?

Answers

Answer:

(5,8)

Step-by-step explanation:

(x,y) --> (x,-y)

The image of the point (5, -8) after a reflection over the x-axis is (5, 8).

When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Given the point (5, -8), after a reflection over the x-axis, the new coordinates will be (5, 8).

Here's the step-by-step process:

Keep the x-coordinate the same (x remains 5).

Change the sign of the y-coordinate (-y becomes 8).

Combine the new coordinates to get the reflected point (5, 8).

Therefore, the image of the point (5, -8) after a reflection over the x-axis is (5, 8).

15. A scale drawing of a rectangular field has a length of 4.5 inches and a width of
3 inches. If the scale is 0.5 inch : 10 feet, what is the actual width of the field?
A. 6 feet
B. 15 feet
C. 30 feet
D. 60 feet​

Answers

3/0.5 = 6
6 x 10 = 60
D

this is 23 points please help me or i’m gonna fail

Answers

Answer:

A

Step-by-step explanation:

Question 6
In a box of 11 parts, 4 of the parts are defective. Two parts are selected at random without replacement.
Find the probability that both parts are defective.

Answers

The probability that both parts are defective is 6/55

Step-by-step explanation:

Defective parts = 4

Total parts = 11

Probability of getting a defective part = 4/11

Probability of getting defective part 2nd time = 3/10

Total probability of getting defective part both the times = (4/11) (3/10)

= (12/110)

= (6/55)

The probability that both parts are defective is 6/55

Find the range of each data set.

Answers

Answer:

set one 11

set two 208

set to has a wider spread of data

Step-by-step explanation:

Answer:

11 for question number 1.

208 for question number 2.

Step-by-step explanation:

1. Range: 12 - 1 = 11

2. Range: 230 - 22 = 208

Britney can buy daffodil bulbs in packages of 3 for $3.33 or in packages of 2 for $2.68. How much money does she save by buying 12 bulbs at the better price?

WILL GIVE BRAINLIST!!!!! :))

Answers

Answer:

The better but is 3 for $3.33

12 for $13.32

Step-by-step explanation:

3.33/3 = 1.11

2.68/2 = 1.34

The better buy is 3 for $3.33

1.11 x 12 = 13.32

1.34 x 12 = 16.08

A rectangle has an area of 80cm squared and a perimeter of 48cm find the length and width of the rectangle

Answers

2 possible solutions.

When width is 4 cm, length is 20 cm; When width is 20 cm, length is 4 cm

Step-by-step explanation:

Step 1: Let the width of the rectangle be x. Perimeter of the rectangle = 48 cm. Find expression for length.

Perimeter of the rectangle = 2(length + width)

48 = 2(length + x)

24 = length + x

⇒ Length = 24 - x

Step 2: Find the dimensions if area = 80 cm

Area of the rectangle = length × width

80 = x (24 - x)

80 = 24x - x²

x² - 24x + 80 = 0

x² - 20x - 4x + 80 = 0

x(x - 20) - 4(x - 20) = 0

(x - 4)(x - 20) = 0

x = 4, 20

24 - x = 20, 4

So there are two possible answers.

When width is 4 cm, length is 20 cm

When width is 20 cm, length is 4 cm

If the number of bacteria on the surface of your phone triples every hour and can be described with the exponential function f(x)=1,000⋅3x, complete the blank in the table of values to show how much bacteria is on your phone after 4 hours.

x f(x)
1 3,000
2 9,000
3 27,000
4 _[blank]_

Answers

Answer:

81,000

Step-by-step explanation:

1      1,000x3=  3,000        

2     3,000x3= 9,000        

3     9,000x3= 27,000      

4     27,000x3= 81,000    

Final answer:

The number of bacteria on your phone after 4 hours is 81,000.

Explanation:

To calculate the number of bacteria on your phone after 4 hours using the exponential function f(x) = 1,000 * 3^x, we can substitute x with 4. So the equation becomes f(4) = 1,000 * 3^4.

Calculating this, we get f(4) = 1,000 * 81 = 81,000.

What is the sum 2 2/3 + 1 1/2?

Answers

Answer:

4 1/6, 25/6, 4.167

Step-by-step explanation:

I'm dumb

Answer:

ok i will give the decimal and the fraction

deciaml is 4.16666666667 and the fraction is 25/6 or 4 1/6

Step-by-step explanation:

hopefully my answer helps

Jason got 16 hits in his baseball tournament. Two of his hits were home runs, ten were ground balls and the rest were line drives. If Jason's mom only got to see one game during the tournament, what was the probability that she saw Jason hit a line drive?

Answers

Answer:

1/16

Step-by-step explanation:

What is the following quotient? StartFraction StartRoot 120 EndRoot Over StartRoot 30 EndRoot EndFraction 2 4 2 StartRoot 10 EndRoot 3 StartRoot 10 EndRoot

Answers

√120 / √30 = √(120/30) = √4 = 2

Answer:

A

Step-by-step explanation:

It's A I got it right on Edge

What is 7 divided by 588

Answers

Answer:

84

Step-by-step explanation:

7 go's in to 58 8 time's bring the 8 down

you get 28 4 x 7 is 28 so it is 84

Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
Yes No
b. Is 6.5 a solution of 12x < 78?
Yes No
c. Is -7 a solution of 9x > 45?
Yes No
d. Is 17 a solution of 15 - X2-2? o Yes No
e. Is 6 a solution of x + 12 > 18?
Yes No

Answers

The answer is below!

Q: Consider the possible solution to each inequality. Choose Yes or No for

each question

a. Is 8.3 a solution of 73.8 S 9x?

b. Is 6.5 a solution of 12x < 78?

c. Is -7 a solution of 9x > 45?

d. Is 17 a solution of 15 - X2-2?

e. Is 6 a solution of x + 12 > 18

Answer :

No

No

Yes

No

No

10. Charlie biked 15 minutes home from school and then walked 12 minutes to the pizza place near his house. This trip was 3.6 miles in total. His rate on his bike is 3 miles per hour less than 5 times his walking rate. In miles per hour, what is Charlie’s speed as he walks and what is his speed as he bikes?

Answers

Answer:

3mph and 12mph

Step-by-step explanation:

GIVEN: Charlie biked [tex]15[/tex] minutes home from school and then walked [tex]12[/tex] minutes to the pizza place near his house. This trip was [tex]3.6[/tex] miles in total. His rate on his bike is [tex]3[/tex] miles per hour less than [tex]5[/tex] times his walking rate. In miles per hour.

TO FIND: Charlie’s speed as he walks and his speed as he bikes.

SOLUTION:

Let speed of charlie when he walks be [tex]x\text{ mph}[/tex]

Then speed of charlie as he biked [tex]=5x-3\text{ mph}[/tex]

Total length of trip [tex]=3.6\text{ miles}[/tex]

Total time taken[tex]=27\text{ minutes}=\frac{27}{60}\text{ hour}=\frac{9}{20}\text{hour}[/tex]

Now,

[tex]\text{Distance}=\text{speed}\times\text{time}[/tex]

distance traveled on bike [tex]=(5x-3)\times\frac{15}{60}=\frac{(5x-3)}{4}[/tex]

distance traveled by walking [tex]=x\times\frac{12}{60}=\frac{x}{5}[/tex]

As, [tex]\frac{(5x-3)}{4}+\frac{x}{5}=3.6[/tex]

     [tex]\frac{29x-15}{20}=3.6\implies 29x=87[/tex]

  [tex]\implies x=3\text{ mph}[/tex]

Speed of Charlie on bike [tex]=5x-3=12\text{ mph}[/tex]

Hence speed of charlie on bike and by walking is 12mph and 3mph respectively

Which expressions are equivalent to 5(-2k-3)+2k
Choose all answers that apply:

(Choice A)
A
(-5*3)-8k

(Choice B)
B
-15

(Choice C)
C
None of the above

Answers

Answer:

A would be the correct one

Step-by-step explanation:

Answer: the correct answer is A

Step-by-step explanation:

260 years equals:
O
A. 2 centuries, o decades
O
B. 26 centuries, o decades
O
c. 26 centuries, 60 decades
OD. 2 centuries, 6 decades
O
E. 2 centuries, 60 decades

Answers

It would have to be letter D my guy, if you know what centuries and decades are this is easy
Question E
Because 100 is one century so 200 is two centuries and then 6 decades equals 60 because one decade is 10 years so your welcome

Can anyone help me find answers to these pages? There are 10 pages of this but I can't link them all.

Answers

Answer:

First page:

Calculate the surface area of shapes using two-dimensional nets.

Calculate the surface area of prisms by adding up the sides of each face.

(For the table use your glossary)

Second page:

1.) 6

2.) 7

3.)51

Anyone can help me with this?

Answers

I sure its B i might be wrong tho

A gardener is planting two types of trees:
Type A is 10 feet tall and grows at a rate of 21 inches per year.
Type B is 7 feet tall and grows at a rate of 25 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the
same height.​

Answers

9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.

Step-by-step explanation:

The given is,

                Type A is 10 feet tall and grows at a rate of 21 inches per year

                Type B is 7 feet tall and grows at a rate of 25 inches per year

Step:1

             Convert the rate of grows of tree inch to feet,

             For Tree A,

                   Rate of grow, A = 21 inches per year

                                              = 21 × 0.0833333      ( 1 inch = 0.0833333 feet)

                                             = 1.75 feet per year

              For Tree B,

                   Rate of grow, B = 25 inches per year

                                              = 25 × 0.0833333     ( 1 inch = 0.0833333 feet)

                                             = 2.08333 feet per year

Step:2

           Difference in the tall of  Tree A & B,

                                               = 10 - 7

                                              = 3 feet

           Difference in the rate of grow of tree A & B,

                                                = 2.08333 - 1.75

                                               = 0.3333325 feet per year

Step:3

           Year take to both trees are same height,

                                               [tex]= \frac{Difference in the height of tree A & B}{Difference in the rate of grows of A & B}[/tex]

                                               [tex]= \frac{3}{0.3333325}[/tex]

                                               [tex]= 9.00[/tex]

                                               = 9 years

Step:4

            Check for solution,

            Height of tree = Height of Tree + (Rate of grow × Years)

            For A,

                                    = 10 + ( 1.75 × 9 )

                                   = 25.75 feet.........................................(1)

            For B,

                                   = 7 + ( 2.08333 × 9 )

                                    = 25.74999

                                   ≅ 25.75 feet.....................................(2)

          From Equation (1) and (2),

                  25.75 feet = 25.75 feet

Result:

          9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.

PLEASE HELP TUME LIMIT IS 10 MINUTES

Answers

Answer:

similar and congruent

Step-by-step explanation:

those are the only words i know

Answer:

congruent and similar

Step-by-step explanation:

Find the mode for the image below

Answers

Answer:

7

Step-by-step explanation:

Mode is the number that repeats the most

7 is repeating the most

The mode for the given bar image shown is: 7

How to find the mode of the dataset?

In statistics, the mode is a measure of central tendency that refers to the value that appears most frequently in a dataset. It can be used to summarize categorical variables, while the mean and median can only be calculated for numeric variables. The mode is calculated by putting the numbers in order from least to greatest and counting how many times each number occurs.

From the given bar graph, we see that the number that occurs the highest number of times is 7 as it is the tallest bar.

Read more about Dataset Mode at: https://brainly.com/question/27358262

#SPJ3

is 0.3π rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

Answer:

0.3π is a irrational number.

Step-by-step explanation:

Hope this helps! :)

Help me! Write an equation to describe the relationship in each table. Check out the attachment to see the tables!

Answers

Let’s look at the first table. Set up the rule: y=kx You want to replace the variables with the numbers in the chart. Let’s do 11=k21. Since y is smaller than x we would most likely use a fraction or decimal. Now what we want to do is divide 11 by 21. This should give you the result of 0.5238095238 or ≈0.52 so the rule is y=0.52x.

Now let’s look at the second chart. Let’s do 1=k4. Same thing, divide 1 by 4 which will give you the result of 0.25. The rule of this table is y=0.25x.

These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.

In Table 1, you can observe that as the value of x decreases by 1, the value of y also decreases by 1. This suggests a linear relationship between x and y, where y is a function of x. The equation that describes this relationship is:

[tex]\[ y = x - 10 \][/tex]

In Table 2, there is a similar linear relationship between x and y. As x decreases, y also decreases, and the change in y is consistent. The equation for this relationship is:

[tex]\[ y = \frac{x}{4} + 5 \][/tex]

In both equations, the slope is -1 in the first table and 1/4 in the second table, indicating that for each unit change in x, there is a corresponding change in y. The y-intercepts in these equations are -10 and 5, respectively, representing the values of y when x is 0.

These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.

For more questions on linear relationships, click on:

https://brainly.com/question/30373083

#SPJ2

The probable question may be:

Write an equation to describe the relationship in each table. Table 1: x= 25, 24, 23, 22, 21. y= 15, 14, 13, 12, 11. Table 2: x= 36, 28, 16, 12, 4. y= 9, 7, 4, 3, 1.

10. A circle has an arc with measure 80° and length 887. What is the
diameter of the circle?

Answers

The diameter of the whole circle is 2*pi*radius . The arc length is then 80/360*pi*radius*=88*pi
radius=88*180/80
=44*180/40
=22*180/20
=11*180/10
=11*18
=(10+1)*18
=198
The diameter is 2*198=(200-2)=400-4=396

SO BASICALLY THE ANSWER IS 396

If f(x)=3x-9, what is the value of f(-8)

Answers

1/3x Put the -8 in the place of the f(x) the subtract 9 you´re left with 1 then divde by 3x  and you're left with 1/3x

Two similar triangles are shown on the coordinate grid: A coordinate plane is shown. Triangle ABC has vertices A at negative 3 comma 2, B at negative 1 comma 0, and C at negative 2 comma negative 1. Triangle A prime B prime C prime has vertices A prime at 6 comma 4, B prime at 2 comma 0, and C prime at 4 comma negative 2. Which set of transformations has been performed on triangle ABC to form triangle A’B’C’?

Answers

Answer:

i will go with c

Step-by-step explanation:

Can someone plz help me with this hint it’s not D plz someone help me I’m not sure I understand this

Answers

Answer:

The answer is C, or 3/5.

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Stratified sampling ensures that all of the members of one or more groups are used.B. Stratified sampling ensures that the television ratings are accurate.C. Stratified sampling ensures that each segment of the population is represented.D. Stratified sampling ensures that only households in the U.S. are sampled Read the excerpt from The Land.Now, my sister was a beautiful girl and I knew even Mitchell had eyes for her. But Cassie was not only beautiful, she was tough, smart, and just a bit cocky. She was six years older than I was and pretty much like a mother hen when it came to me; I knew she'd take my part. "Cassie, you know 'bout Mitchell?" I asked her."Course I know about Mitchell," she answered. "Why're you letting him beat up on you?""I'm not letting him!" I exclaimed in outrage. 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