A dog has a 25 ft leash attached to a corner where a garage and fence meet. When the dog pulls the leash tight and walks from the fence to the garage, the arc the leash makes is 74.3 ft. What is the measure of the angle between the garage and fence, in degrees?

150 degrees
170 degrees
190 degrees
107 degrees

Answers

Answer 1

Answer: [tex]170^{\circ}[/tex]

Step-by-step explanation:

Given

The dog has a 25 ft leash

Arc length is 74.3 ft

Arc length is given by

[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]

here, r=25 ft

l=74.3 ft

Put the values

[tex]\Rightarrow 74.3=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 25\\\\\Rightarrow \theta =170.2^{\circ} \approx 170^{\circ}[/tex]

The measure of the angle is  [tex]170^{\circ}[/tex]


Related Questions

the ratio of wins to games played fir certain siftball team.is 2 to 3 I the team played 33 games how many game did the team win PLS HELP

Answers

Answer:22

Step-by-step explanation:

tell me if you want the explanation in the comments

Answer:

22

Step-by-step explanation:

If the total is 33 games ,33 divided in 3 parts,each part is 11

Of the 3 parts  the team won 2 parts

 so 2x11 = 22

A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick.
Let yyy represent the ice sheet's thickness (in meters) after xxx weeks.
Complete the equation for the relationship between the thickness and number of weeks.
y=y=y, equals

Answers

Answer:The question is a little incorrect, the ice sheet thickness should be 2m and not 222m.

The required function formula is,

S(t) = 2 - 0.25 t

Step-by-step explanation:

Here, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet = 1.25 meters

Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,

⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,

Since, the ice is melting with the constant rate.

⇒ The rate of ice decreasing = 0.25 meters per week.

⇒ Total changes in t weeks = 0.25 t meters

The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.

⇒ S(t) = 2 - 0.25 t

Which is the required function's formula.

x is at most 30 this is math

Answers

Answer:

huh plz elabarate

Step-by-step explanation:

Answer:

Type the full question your question doesn't makes sense

Choose the expression that is equivalent to the expression shown below.

n4+n4+n4+n4

Answers

24n I think, or n24
Or 4n4
.....................

What is the first step in solving the inequality m-2/6 < -1?
O Multiply both sides by 6.
O Add 2 to both sides.
O Change the direction of the inequality.
O Change the inequality to s.
HELP IM ON A TIMED TEST​

Answers

Step-by-step explanation:

change the directions i think

you have to make the -1 -> 0

you have to multiply by -1

and if you multiply the direction will change

The equation
^
Y=-0.37x^2+6.15x+52.3 approximates the average temperature in October in degrees Fahrenheit at an agricultural community x hours after 5 a.m.

What is the best estimate for the average temperature in October at 2 p.m.?

64 F
67 F
71 F
78 F

Answers

Answer:

best approximate is 78 F. to find x, count number of hours between 5 am and 2 pm (which is 9). Substitute 9 into the equation and solve. hope this helps!

Step-by-step explanation:

[tex]y = - 0.37 {x}^{2} + 6.15x + 52.3 \\ y = - 0.37 ({9}^{2} ) + 6.15(9) + 52.3 \\ y = - 0.37(81) + 6.15(9) + 52.3 \\ y = - 29.97 + 55.35 + 52.3 \\ y = 77.68[/tex]

A batter hits a baseball 4 feet above the ground with an upward velocity of 59 feet per second. The function h(t) = -16t^2 + 49t + 4 gives the height h (in feet) of the baseball after t seconds. How long is the ball in the air if a player on the other team catches the ball 7 feet above the ground?

Answers

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd.  time=3 seconds.

Suppose that you deposit $750.00 in an account paying 4% compound interest, with interest compounded annually. How much
interest will your account earn over the first 5 years?
$912.49
$162.49
$150 00
$900.00

Answers

Answer:

The answer is 162.49

Step-by-step explanation: Can you help me with my question

Express your answer in scientific notation.
4.9 X 10^5 – 5.8 X 10^4

WILL MARK BRAINLIST

Answers

Answer: =432000

Step-by-step explanation: Hope this help :D

I Mark Brainliest ! No Bots Plz
Select All that apply

Answers

Answer:

i think its the second and third

Step-by-step explanation:

im not completely sure though so please dont get mad if its wrong

4. Which is the better value? Show your work and explain your choice.
or
Option A: 36 markers for $4.50
Option B: 20 markers for $2.70

Answers

option B


I think its opinion B because its cheaper

I'll be posting more question like these so keep a look out

Answers

Answer:

for question 1 the answer is 9 10/11

Step-by-step explanation:

Aliya buys p pounds of apples for $2 per pounds. Write an algebraic expression to find the total cost?

Answers

Answer:

Identify the terms and coefficients of each expression. 1. ... Frank buys p pounds of oranges for $2.29 per pound and the same number of pounds of apples for $1.69 per pound. ... .690 = total cost ... Write an expression to represent each situation. 9. Eliza earns $400 per week plus $15 for each new customer she signs up.

Step-by-step explanation:

Geometry Help Please

Answers

Answer:

600 sqrt(3)

Step-by-step explanation:

sides of hexagon

120÷6=20

A=(3sqrt(3))/2×20^2

≈1039.23048

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 3 ; r = 5

Answers

Answer: 1875

Step-by-step explanation:

The nth term of a geometric progression is given as:

= ar^n-1

Given a = 3 ; r = 5, the nth term will be:

= ar^n-1

= 3 × 5^n-1

The fifth term will be:

= 3 × 5^n-1

= 3 × 5^5-1

= 3 × 5⁴

= 3 × 625

= 1875

The fifth term is 1875

HELP ME PLEASE
Which point is not on the graph of

y=2x+3

A. (1, 5)

B. (2, 7)

C. (3,9)

D. (5, 1)

Answers

Answer:

D.

A linear equation is an equation with two variables whose graph is a line. The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation. 

[tex]y = 2(5) + 3 = 13 [/tex]

Is the ordered pair (-5, 4 a solution of
the system of linear equations whose
graph is shown? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

No, (-5, -4) is not a solution to the system of equations. In order for a point to be a solution to a system of equations, the lines have to intersect at that point in a graph. Looking at the given graph, the lines do not intersect at (-5, -4), but at (-4, -5) instead. Thus, (-5, -4) is not a solution.  

Find the 1st 4 iterations if f(o)= -2, f(n)= 3f(n-1)-2n

Answers

Answer:

Step-by-step explanation:

f(0) = -2

f(1) = 3*(f(1 - 1)) -  2*1

f(1) = 3(-2) - 2

f(1) = - 6 - 2

f(1) = - 8

f(2) = 3*(f(1)) - 2*2

f(2) = 3*(-8) - 4

f(2) = -24 - 4

f(2) = - 28

f(3) = 3*(f(2)) - 2*3

f(3) = 3*-28 - 6

f(3) = -84-6

f(3) = - 90

f(4) = 3*f(3) - 2 * 4

f(4) = 3*-90 - 8

f(4) = -270 - 8

f(4) = -278

What is the negative zero of the quadratic function f(x) = 4x2 – 81?

Answers

-4.5 is the negative

given that 4x^2-32x-20+k is a perfect square find k​

Answers

Answer:

k = 20

Step-by-step explanation:

Perfect square identity:

(a + b)² = a² + 2ab + b²

Completing the square:

4x² - 32x - 20 + k = (2x)² - 2*2x*8 + 8² - 20 + k =(2x - 8)² - (20 - k)

In order the given to be a perfect square, we need:

20 - k = 0k = 20

What is the graph of the function f(x)=[x-1]?

Answers

Answer:

should be the one on the top right

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

2A

6X^2

Step-by-step explanation:

3 times the sum of 4 and 9

Answers

Answer:

3x4+9= 39

Step-by-step explanation:

:))

Which temperature is colder -10 or 0

Answers

Answer:

-10

Step-by-step explanation:

-10 is colder because all negative numbers are less the 0

In DOG shown at the right, OG = 7, DG = 8, and m<DOG = 90. What is the measure of LG?

Pliss help me =<​

Answers

G would be like 75 ..

Which of the following terms correctly describes the fraction 14/6?

A. Improper Fraction

B. Proper Fraction

C. Inverse Fraction

D. Reverse Fraction

Answers

i believe its a improper fraction

Answer:

it is A an improper fraction

please helpppp!!! Will mark brainlyist

Answers

Answer:

x = 35.5

Step-by-step explanation:

cos 65° = 15/x

cos 65° · x = 15

x = 15/cos 65°

x = 35.5

Pythagorean Theorem Determine the length of the missing side?

Answers

The answer should be 12.2
7^2+10^2=c^2
49+100=c^2
149=c^2
12.2=c

Answer:

c= sqrt149; 12.2 rounded

Step-by-step explanation:

Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2

7^2+10^2=149

sqrt149= 12.2 rounded

what is 1.68 round off to the nearest whole number

Answers

1.68 rounds up to 2 because anything .5 or up rounds up and anything below .5 rounds down

The legs of a right triangle are represented by the expressions 2x and 2x-1. The hypotenuse of the same triangle is represented by the expression 3x - 1 1. What is the perimeter of the triangle?

Answers

Answer:

12

Step-by-step explanation:

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