Cody started a fire in a field. The fire was expanding outward in all directions forming a larger and larger circle. The radius of the circular fire was 10 feet and was increasing at 2 feet/minute when Cody called the fire department. How many minutes will it take from the time Cody called the fire department until the area of the circular fire is 45401 square feet? Type your answer to the nearest hundredth (2 decimal places).

Answers

Answer 1

Answer:

55.10min

Step-by-step explanation:

This problem is on the mensuration of flat shapes.

given that the initial radius before Cody alerted the fire department is

10 ft

Then we can calculate the area of the fire as

Area= πr^2

Area=3.142*(10)^2

Area=3.142*100

Area=314.2ft^2

Also, given that the area of the circular fire has grown to 45401 square feet

let us solve for the radius first, then we can calculate the time taken since the radius was increasing by 2 ft/min

let the radius of the large fire be R

45401=πR^2

R^2=45401/3.142

R^2=14449.714

square both sides we have

R=√14449.714

R=120.2ft

The difference between the radius of the initial fire and the large fire is

R-r=120.2-10

    =110.2ft

Hence the time taken can be calculated as

time= 110.2/2

time=55.10min


Related Questions

Help me I don’t understand

Answers

Answer:

$7.63

Step-by-step explanation:

· Josh Duchene worked at three jobs in three weeks. In the first week, he earned $360. In the next week, he
was paid $345. In the third week, he was paid $315. What average pay per week did Josh earn for these
three weeks?

Answers

$340 add all of the values up and divide by the total number of weeks

The average pay per week Josh earned for three weeks is $340.

What is an average?

The term average is the sum of all the numbers divided by the total number of values in the set.

Now it is given that,

Pay received in first week = $360

Pay received in second week = $345

Pay received in third week = $315

So,

Total money earned in three weeks = $360+$345+$315

                                                            = $1,020

Now number of weeks  = 3

therefore, average pay per week = Total money earned in three weeks/number of weeks

⇒ average pay per week = $1020/3

⇒ average pay per week = $340

Thus, the average pay per week Josh earned for three weeks is $340.

To learn more about average:

https://brainly.com/question/680492

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Answer this for 15 points and Brainliest

Answers

Answer:

y=3x+18

Step-by-step explanation:

Since slope-intercept form is y=mx+b, we first need to find the slope.

m=y2-y1/x2-x1

m=0-(-9)/-6-(-9)

m=9/3=3

Next we need to find b, or the y-intercept

to do that we plug in numbers to what we already have.

y=3x+b

0=-18+b

b=18

Now we put it all together.

y=3x+18

Katie’s planted tree in her front yard that was 38 inches tall. She measured the height 8 months later and the tree was 74 inches tall.What was the average rate of change for the trees height?

Answers

Answer:

5.75 per month

Step-by-step explanation:

Put the following numbers in order from least to greatest. Separate the numbers in your answer with comma's without spaces. 3,-1,1.75,-2,-2.5,2.25,0

Answers

Answer- -2.25, -2.5, -2, -1.175, -1, 0, 3

Complete the table and determine whether the data is proportional and explain why

I need help

Answers

Answer:

in distance it goes 3,6,9,12,15

Step-by-step explanation:

thats all i know i hope my answer anwsers nyour questionand have a great time and get a lot of A+ ✍✍

Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to tip at 20%, what should she pay if she doesn’t want to leave pennies on the table?
$0.55
$1.30
$2.65
$5.30

Answers

Answer:

$5.30

Step-by-step explanation:

Convert 20% to it's decimal form.

20%/100 = .20

Multiply .20 with 26.50.

.2 x 26.5 = 5.3

Answer:

D

Step-by-step explanation:

How do you solve this problem?

Answers

Answer:

x=-7,y=-2

Step-by-step explanation:

2y=-32-4x

y=-16-2x

7x+(-16-2x)=-51

5x-16=-51

5x=-35

x=-7

<3

Red

what is the mood move frozen​

Answers

I’m not sure man Your a man okay ur man

What is the verbal expression of 2x2 -8

Answers

Answer:

Two times two minus eight

PLZ HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
Completely factor the following polynomial: 8x^3−125

Answers

Answer: it is 52

Step-by-step explanation:

Step-by-step explanation:

8x^3 - 125

= (2x)^3 - (5)^3

= (2x-3) (4x^2 + 10x + 25)

Match each graph above with one of the corresponding sequences listed below:
(a) geometric sequence; common ratio of 3
(b) geometric sequence; common ratio of 1/2
(c) geometric sequence; common ratio of -2
(d) arithmetic sequence; common difference of 3
(e) geometric sequence; common ratio of 2

Answers

Answer:

(a) geometric sequence; common ratio of 3

Graph 2

(b) geometric sequence; common ratio of 1/2

Graph 6

(c) geometric sequence; common ratio of -2

Graph 5

(d) arithmetic sequence; common difference of 3

Graph 4

(e) geometric sequence; common ratio of 2

Graph 1

I'ma answering this to see if you are still on here

Step-by-step explanation:

—бу – 3 = 3 – бу

No solution
All real numbers
I need the answer quickly!!

Answers

Answer:

no solutions

Step-by-step explanation:

-6y-3=3-6y

1. add 6y to both sides:

-6y-3 +6y=3-6y +6y

-3=3

since -3 doesn't equal 3, there are no solutions.

PLEASE ANSWER THIS ASAP !!!!

Answers

Answer:

11

Step-by-step explanation:

sub 7 in for t which gives you 2(7) - 3

14-3 = 11

Answer: 11

Explanation: i did the math and that’s what I got

What is the median of the data set?

Answers

can we see the data set?

Answer:

B)28

Step-by-step explanation:

The temperature was 20 F. It dropped so that the temperature was 0F. ​___F represents the change in temperature.

Answers

Answer:

-20

Step-by-step explanation:


Macy eats 33 animal crackers as a snack every day after school. How many animal crackers does she eat
during a 5 day school week?

Answers

macy eats 165 animal crackers
Macy eats 165 animal crackers during a 5 day school week.

is 200% a whole number​

Answers

Answer:

Yes

Step-by-step explanation:

200% is basically 2/1, and 2/1 = 2. 2 is a whole number.

Which equation describes the line with slope of 2 and
containing the point (-1,4)?
y = 2x + 4
y = 2x + 6
y = -2x + 4
y = 2x + 5

Answers

Option B is the correct answer, y = 2x + 6

Can someone pls answer these questions for me I’m stuck

Answers

Answer:

a) The triangles are similar, and the ratio of the similar sides are both equal to 1:3. b) the scale factor from triangle abc to def is 3 because if you divide the longer corresponding side length from triangle def by the side of triangle abc, you will get 3. c) x is equal to 7.5 cm. Using the scale factor, you can just multiply 3 by 2.5.

Step-by-step explanation:

a) If you look at the two triangles, you can see that they look similar. Side AB looks similar to side DE, and the side lengths are 1 and 3. Therefore, the scale will be 1:3. b) If you divide the longer corresponding side length from triangle def by the side of triangle abc, you will get 3. c) x is equal to 7.5 cm because the scale factor is 3, which means you have to multiply the smaller side by 3.

Hope you understand!

HELP! will mark branniest answer if right!

Answers

Answer:

64 i think

Simple explanation:

find the missing angle of the triangle with two given angles:

add 36 and 84 to get 120

subtract 120 from 180 and you will get 60

subtract 60 from 90 to find one of the angles in the other triangle

so now you have that the other triangle has an angle of 86 and another angle of 30

add 86 and 30 to get 116

subtract 116 from 180 to get the "? angle"

you should get 64

Another possible explanation:

extend the line that contains the degrees 36 and 84

this will make a third, smaller triangle

this triangle has two measure that are easy to find and that is 96 and 54

when you add those together, you get 150

subtract 150 from 180 to get 30

30 degrees is the measure of the smaller angle at the 90 degrees symbol

now add 30 and 86 together to get 116

subtract that from 180 to get 64

can someone please do these questions for me

Answers

Where are the question at

please help meeeeeee

Answers

D it is d because i searched it up

7/8 in decimal form is 0.875

The base is always on the bottom of the shape, no matter where the height is located. True or false

Answers

False. It could even be the “top” hope this helps

can anyone explain this?

Answers

Answer:

71v + 72

Step-by-step explanation:

9v-8(10v-9) distribute 8 × 10v, 8×9

9v - 80v+72

71v + 72

i need help it has to be correct

Answers

Answer:

cosine = adjacent / hypotenuse

cosine 62º = JL / 17

JL = cosine 62º * 17

JL = .47 * 17

JL = 7.99

JL = 8.0

Step-by-step explanation:

Who better I vote Trippie

Answers

Answer:

TRIPPIE REDD definitely

Step-by-step explanation:

Answer:

trippie redd dawg

Step-by-step explanation:


A. 60 degrees
B. 120 degrees
C. 30 degrees
D. 150 degrees

Answers

its letter b. 120 degrees

What is the slope of the line represented by the equation f(t)=2t−6? The slope is 2 and the y-intercept is −6. The slope is −6 and the y-intercept is 2. The slope is 2 and the y-intercept is 6. The slope is 6 and the y-intercept is 2.

Answers

Answer:

A.The slope is 2 and the y-intercept is −6.

Step-by-step explanation:

got it right on the quiz. :)

(hop this helps)

The slope of the line represented by the above equation is:
".2 and the y-intercept is −6." (Option A)

What is a slope?

The slope of any line, ray, or line segment in analytic geometry is the ratio of the perpendicular to horizontal distance between any two points on it.

Hence it is correct to state that the slope of the line represented by the above equation [f(t)=2t−6] is: ".2 and the y-intercept is −6."

Learn more about slopes at:
https://brainly.com/question/3493733
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Find the measure of the exterior angle.

Answers

Answer:

1) 128°

2) 126°

3) 108°

Question one:

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

Question two:

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

Question three

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

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