Here is a central angle that measures 1.5 radians. Select all true statements. Question 1 options: A) The area of the whole circle is 1.5 times the area of the slice. B) The radius is 1.5 times longer than the length of the arc defined by the angle. C) The ratio of radius to arc length is 1.5. D) The length of the arc defined by the angle is 1.5 times longer than the radius. E) The ratio of arc length to radius is 1.5. F) The circumference of the whole circle is 1.5 times the length of the arc formed by the angle.

Answers

Answer 1

Answer:

  D, E

Step-by-step explanation:

The applicable formula is ...

  s = rθ

so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...

  D) The length of the arc defined by the angle is 1.5 times longer than the radius.

  E) The ratio of arc length to radius is 1.5.


Related Questions

Jenna traveled to Mexico. Before returning home, she converted all her pesos back into dollars. How much did she receive if she exchanged 1047.5 pesos at a rate of 5 dollars = 115.21 pesos?

Answers

Answer:

Dollars= $45.46

Step-by-step explanation:

Giving the following information:

Pesos= 1,047.5

Exchange rate:

5 dollars= 115.21

First, we need to determine the exchange rate for 1 dollar:

1 dollar= 115.21/5

1 dollar= 23.042 pesos

Now, for 1,047.5 pesos:

Dollars= total pesos / exchange rate

Dollars= 1,047.5/23.042

Dollars= $45.46

Answer:

45.46 dollars

Step-by-step explanation:

matthew opened a checking account with 150. On monday, he bought lunch for 9.30 and wrote a check for 25.75. He deposited 75 on wednesday, and 65.18 was deducted for his car insurance on thursday. How mch money was remaining in his account

Answers

Answer:

124.77

Step-by-step explanation:

Matthew opened a checking account with 150

On Monday he bought lunch for 9.30 and wrote a check for 25.75

He deposited 75 on Wednesday

On thursday 65.18 was deducted from the account for his car insurance

The total expenses incurred on Monday can be calculated as follows

=9.30+25.75

= 35.05

This means that 35.05 will be debited from his account

On wednesday, he made a deposit of 75, this implies that a credit will be made to his checking account

On thursday, 65.18 was removed from his account for car insurance

Therefore since the initial balance of the account was 150 then, the remaining money that will be left in his account can be calculated as follows

= 150-35.05+75-65.18

= 124.77

Hence the money remaining in Matthew's account is 124.77

Answer:

The answer is 124.77

Step-by-step explanation

Question is in the picture help I’m desperate

Answers

Answer:

the measure of <BAC = 60° and

46) option D is not true

Question 45

The two remote interior angles 3x and 2x add to the exterior angle 150. This is an application of the remote interior angle theorem

2x+3x = 150

5x = 150

x = 150/5

x = 30

angle BAC = 2x = 2*30 = 60 degrees

Answer: 60 degrees

===================================================

Question 46

Choice A is true because of what I mentioned in the previous problem.

Choice B is true because we can find that angle C is 180-150 = 30. Then we can say A+B+C = 2x+3x+30 = 180 as all three interior angles of any triangle always add to 180.

Choice C is true since the equation above x = 30 can be written as 3x-2x = 30. It's a bit of a strange thing to do this, but it's still a valid statement.

Choice D is not true since 2x+3x is 150, which isn't 180 or larger. Even if we didn't know about the 150 at all, we still can't have 2 interior angles of a triangle add to 180 or larger (refer back to choice B).

Answer: Choice D

a submarie is 671 feet below

Answers

Answer:

Uh I don't really know where the question was in that sentance, but if your trying to convert it to meters the answer is 204.521 meters.

Step-by-step explanation:

What is the value of t, if the value of x is 4?

T - 6 = x - 6

Answers

Answer: T=4

Step-by-step explanation:

Answer:

T=4

Step-by-step explanation:

When you plug in x, or 6, you get that x-6= -2.

Keeping that in mind, you then have to think what minus 6 equals negative 2, and 4-6= 4

6+2= need help asap plzz

Answers

Answer:

8

Step-by-step explanation:

Answer:

6 + 2 = 8

Step-by-step explanation:

you could use a calculator or your fingers!

Help Me Pls Umm.... Yeah

Answers

Answer:

I think B, AC = 5

Step-by-step explanation:

You can see that the shape, DEF and ABC, both hav a number at the bottom. So We know that there is a scale factor of 2, because 6÷3 is 2. So, if we wanna know what AC is we can divide 10, from DEF, by two, we get 5. So, AC is equal to 5. :)

i need help because i do need help

Answers

Answer:

Step-by-step explanation:

the perimeter to ABCD is 13

the perimeter to WXYZ is 32.5

the scale factor enlargement is 2.5

Please help!
Translate the following into a algebraic equation:

Eight more then the difference of a number and sixteen.

(Variable is X)

Answers

let’s start out by breaking down the equation

1. eight more than. we know this must mean we are adding 8, so (+ 8)

2. the difference of a number and sixteen. we know the number (x) and 16 are being subtracting as indicated by the word difference, so (x-16)

now let’s combine them (x-16) + 8

let’s set it equal to 0, just to confirm it is correct.
(x-16) +8 = 0
x-16 = -8
x = 8

so substituting x for 8 in the translation: (8-16) + 8 = 0
-8 +8=0

it is correct! :)

You drive 351.6 miles using 16.4 gallons of gasoline. At this rate, how many gallons of gasoline would you need to drive 1000 miles? Round your answer to the tenth place (one place after the decimal).

Answers

Answer:

46.6 gallons

Step-by-step explanation:

351.6 miles = 16.4 gallons

1000 miles = x gallons

simply cross multiply

351.6 × x = 1000× 16.4 gallons

351.6x = 16400 gallons

x = 16400÷ 351.6

x= 46.643913538

x = 46.6 gallons (rounded to the tenth place)

which statement is correct​

Answers

I have to make this unnecessary long because yeah but the correct answer I believe is going to be the second one

PLEASE HELP ASAP!!

Which inequality is represented by the graph?

Answers

Answer:

The correct answer is B, y > 3/5x -1.5

Step-by-step explanation:

I highly recommend using this online graphing calculator called Desmos. It is an absolute lifesaver. I've been using it for over a year and it helps a lot with inequalities. Just plug in each inequality until you find the one that matches the graphs. I hope this helps you :)

on the number line shown above what number represents the point half the distance between points A and B

Answers

Hshshsjjssbsbsjsnsnsnsnsnsjsis


Please help I have a test tomorrow

Answers

Answer:

The answer is 24

Step-by-step explanation:

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Robusta beans is modeled by the equation below, where A = the pounds of Arabica and R = pounds of Robusta: (2 points) 700A + 1200R = 1,000,000 If a mixture contains 1000 pounds of Arabica beans, how many pounds of Robusta beans should be in the mixture?

Answers

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be 250 pounds of Robusta beans in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .

700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250  - This is your value for R, or the Robusta beans.

250 pounds of Robusta beans

Hope this helps!

f(x) = √x. and g(x)=8√x Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch.

Answers

Answer:

vertical stretch

Step-by-step explanation:

the 8 is outside the sq. root function, meaning it causes a vert. stretch

A vendor sells fifteen sweatshirts for $15 each, thirty t-shirts for $10 each, and forty hats for $8 each. What is the average price of an item sold that day?

Answers

I think the answer is 3$ because if you divide each item by the price you get 1 3 and 5 3 is more likely to be the middle so that would be your average price the unit rate of each of the items is dividing the price by the number of items to get the price of one item or your unit rate.

6x + 4x - 9 = 1 what does x equal

Answers

Answer:

x = 1.

Step-by-step explanation:

6 x 1 = 6.

4 x 1=4.

4+6= 10.

10 - 9 = 1.

Simply a3 • a4
And (2a) (5ab)

Answers

Answer:

a^3 (a^4) = a^7

(2a)(5ab) = 10a^2b

Step-by-step explanation:

do y'all think high school is hard​

Answers

Answer: hahaha. yes.

it can be for sure lol!

find the slope of the line going through the points (-5,-7) and (0,13)

Answers

Answer:

slope=  4

Step-by-step explanation:

rise=20 run= 5    divide =4

What is the distance between (9,-4) and (-22, 8)?

Answers

Answer:

≈ 33.2 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d = [tex]\sqrt{(-22-9)^2+(8+4)^2}[/tex]

   = [tex]\sqrt{(-31)^2+12^2}[/tex]

   = [tex]\sqrt{961+144}[/tex]

    = [tex]\sqrt{1105}[/tex] ≈ 33.2 ( to 1 dec. place )

PLEASE HELP ME!!!!!!!

Answers

Answer:

:))

Step-by-step explanation:

Collect like terms, keeping the integer rules in mind

5. 5a + 9b - 3a + 2b + 4a

   5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)

   6a + 11b

6. 7m + 3n - 8m + 2n + 10m

   7m + 10m - 8m + 3n + 2n

   9m + 5n

10. 10m²n + 5mn + 9m²n - 2mn

     10m²n + 9m²n + 5mn - 2mn

     19m²n + 3mn

Try to do the rest on your own :)

Jenna flipped a coin 375 times. It landed tails up 300 times. What is the experimental probability of a flip resulting in tails up? Pls show work I give brainliest

Answers

Answer:

375-300=75

Step-by-step explanation:

Brian’s backyard is in the shape of a square. If the yard is 21 feet long, how much land does Brian’s backyard cover?

Pleaseee helppp

Answers

Answer: 21 feet long

HELPPPOO ASAP please!

Answers

Answer:

y = -1

Explanation:

Because the line is horizontal (intersecting the y-axis), you can ensure that the equation will be y = (a number). You can find which part of the y-axis it intersects by looking at the graph, and it intersects -1.

What is the equation of the line passing through the points (4,8) and (-1,-12)

Answers

Answer:

y=4x-8 hope this helps:)

Step-by-step explanation:

Hey there!!

You can find the equation of a st.line passing through points using one point formula if only one point is given and slope is given , else find it by using two point formula (if 2 points are given).

Here, the points are, (4,8) and (-1,-12).

Using two point formula,

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Keep all values,

[tex](y - 8) = \frac{ - 12 - 8}{ - 1 - 4} (x - 4)[/tex]

Now, simplify them.

[tex](y - 8) = 5(x - 4)[/tex]

y - 8 = 5x -20

5x -y -20+8 = 0

Therefore, 5x - y -12 = 0 is the required equation.

Hope it helps...

So I need to pull an all nighter and reset my sleep schedule. But the problem is I'm too stupid to solve some math, so I need your help.
I woke up this morning at 10:00 A.M.
Right now it is 12 A.M.
How long has it been?
And then what is that minus 36 hours?

Please help, I don't have that many points right now, but I will mark you Brainliest! ​

Answers

it has been 14 hours between 10 am and 12 am.

Answer:

14 hours, -22 hours

Step-by-step explanation:

10:00 AM to 12:00 PM = 2 hours

12:00 PM to 12:00 AM = 12 hours

12 hours + 2 hours = 14 hours

14 hours - 36 hours = -22 hours

515x + 285y=11,080. X+Y=30

Answers

Answer:

work is shown and pictured

Answer:

x = 11, y = 19.

Step-by-step explanation:

515x + 285y=11,080

x + y = 30

Divide first equation by 5:

103x +57y = 2216

Now multiply the second equation by -57:

-57x - 57y =  -1710

Adding the last 2 equations:

46x = 506

x = 506/46 = 11

Substituting for x in x + y = 30:

11 + y = 30

y = 19.

A new Youth Sports Center is being built in Hadleyville, The perimeter of the rectangular playing field is 430 yards. The length of the field is 5 yards

the width. What are the dimensions of the playing field?

The width is

yards

The length is

yards

Answers

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

given data

length of the field = 5 yards

Perimeter of the rectangular field = 430 yards.

solution

we consider here length of the field = L

and width of the field = W

as we know length of the field 5yards less than quadruple the width

so here

L = 4W - 5       .....................................1

and  

Perimeter (P) will be here

P = 2(L + W)      ............................................2

put here equation 1 value

430 = 2(4W - 5 + W)  

solve it we get

W = 44

so here put value in eq 1 we het

L = 4W - 5          

L = 4(44) - 5

L = 171

so, length of the field is 171 yards

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