A rope tied from a tent pole to a take in the ground forms 55 degrees angle with the ground. The pole is 3 feet from the stake, what is the length of the rope to the nearest tenth of a foot

Answers

Answer 1

Given:

A rope tied from a tent pole to a stake in the ground forms 55 degrees angle with the ground.

The pole is 3 feet from the stake.

To find:

The length of the rope to the nearest tenth of a foot.

Solution:

First draw a diagram according to the given information as shown below.

We know that, in a right angled triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos 55^\circ=\dfrac{BC}{AC}[/tex]

[tex]0.573576=\dfrac{3}{AC}[/tex]

[tex]AC=\dfrac{3}{0.573576}[/tex]

[tex]AC=5.23034[/tex]

[tex]AC\approx 5.2[/tex]

Therefore, the length of the rope is 5.2 foot.

A Rope Tied From A Tent Pole To A Take In The Ground Forms 55 Degrees Angle With The Ground. The Pole

Related Questions

the sum of three consecutive odd numbers is 57. Find the product of the numbers. ​

Answers

Answer:

17, 19, 21. Hope this helps.

how many yards are in the perimeter of a square that measures 99 inchs on each side?

Answers

She needs 11 yards on each side

The radius of an airplane propeller is 24 inches. What is the circumference of the propeller?​

Answers

Answer:

48π

Step-by-step explanation:

the circumference is dπ and the diameter is 2 of the radius

Answer:

48

Step-by-step explanation:

In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 more than half the measure of the largest angle. What is the measure of the middle angle?

Answers

Answer:

52degrees

Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

multiply through by 6

6x + 3x + 48 + 2(x+32) = 1080

9x + 48 + 2x + 64 = 1080

11x + 112 = 1080

11x = 1080-112

11x = 968

x = 968/11

x = 88 degrees

Get the middle angle y;

Since y = x/2 + 8

y = 88/2 + 8

y = 44 + 8

y = 52 degrees

Hence the measure of the middle angle is 52degrees

The angles in a triangle add up to 180 degrees.

The middle angle is 52 degrees

Let the largest, middle angle and the smallest angle be x, y and z

From the question, we have:

[tex]\mathbf{x = 3z -32}[/tex]

[tex]\mathbf{y = 8 + \frac 12x}[/tex]

Make z in [tex]\mathbf{x = 3z -32}[/tex]

[tex]\mathbf{z =\frac{x + 32}{3}}[/tex]

The angles in a triangle add up to 180 degrees.

So, we have:

[tex]\mathbf{x + y + z = 180}[/tex]

Substitute the expressions for y and z in   [tex]\mathbf{x + y + z = 180}[/tex]

[tex]\mathbf{x + 8 + \frac 12x + \frac{x+32}{3} = 180}[/tex]

Multiply through by 6

[tex]\mathbf{6x + 3x + 48 + 2(x+32) = 1080}[/tex]

[tex]\mathbf{9x + 48 + 2(x+32) = 1080}[/tex]

Open brackets  

[tex]\mathbf{9x + 48 + 2x + 64 = 1080}[/tex]

Evaluate like terms

[tex]\mathbf{11x + 112 = 1080}[/tex]

Subtract 112 from both sides

[tex]\mathbf{11x = 968}[/tex]

Divide both sides by 11

[tex]\mathbf{x = 88}[/tex]

Substitute 88 for x in [tex]\mathbf{y = 8 + \frac 12x}[/tex]

[tex]\mathbf{y = 8 + \frac{88}2}[/tex]

[tex]\mathbf{y = 8 + 44}[/tex]

[tex]\mathbf{y = 52^o}[/tex]

Hence, the middle angle is 52 degrees

Read more about triangles at:

https://brainly.com/question/22790855

A fruit stand sells 2 oranges for two dollars and fifty cents.
What is the unit price for each orange?

Answers

Answer:

the answer would have to be 1.25

Step-by-step explanation:

Answer:

1 orange= $1.25

2 oranges= $2.50

HELP!!! WILL GIVE BRAINLIEST!!!!

Answers

Answer:

c. 12

Step-by-step explanation:

√-8 . √-32 show work

Answers

Answer:

-16

Step-by-step explanation:

Helppppppp helpppppppp

Answers

Answer:

8^12

Step-by-step explanation:

8^7×8^5

add the exponents

7+5=12

keep the base

8^12

Brian purchased 4 items that were $1.00 each. The sales tax rate is 5.5%. How much was Brian's total bill including sales tax?

Answers

The answer will be $4.22

HELP ASAP!!! please, I need help

Answers

Your answer would be be subtract 3

hope it helps

Subtract by 3


Hope that
Helped u

Help please!ill give brainliest

Answers

Answer:

seirously I don't know if that's an "x" or a multiplication sign

Step-by-step explanation:

[3² x(189/9)]-32

9. 21x - 32

189x - 32

x = 189/32

x = 5.29/32

[3² x(189/9)]-32

9x21-32

189-32

157

Jake scored 2 goals in soccer this season. Jaime scored 4 times as many goals as Jake. Edgar scored 3 times as many goals as Jaime. How many goals did Edgar score?​

Answers

Answer:

Edgar scored 24 goals in soccer this season.

Step-by-step explanation:

Proportions

We can calculate the number of goals scored by Edgar this season if we follow the relationships given in the problem.

First, we know jake scored 2 goals. Also, we know Jaime scored 4 times as many goals as Jake.

This means Jaime scored 2*4 = 8 goals.

Finally, we know Edgar scored 3 times as many goals as Jaime.

Then, Edgar scored 8*3 = 24 goals.

Edgar scored 24 goals in soccer this season.

answer correctly pls lol kk

Answers

Answer: y= -4x-2

Step-by-step explanation:

glad i could help!

Which of the following statements best explains why this graph represents a relation that is not a function

Answers

Answer:

i think it’s “ the x values between 1 & 3 are each paired with multiple y values “

Step-by-step explanation:

The given relation is not a function because input value 1 and 3 have more than one value

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

As, we know if the relation is function then it's input value is distinct.

From the graph we can se that the input value 1 and 3 have more than one value

As, input 1 ----> {1.1, -1.1}

and, input 3 ----> {0, -2.5}

Hence, the given relation is not a function.

Learn more about function here:

https://brainly.com/question/21145944

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Can u plz finish the rest show all the work

Answers

Answer:

1/12 is the answer

Answer:

12

Step-by-step explanation:

[tex]\frac{5}{6} - \frac{4}{3} (\frac{3}{4})[/tex]²

⇒ [tex]\frac{5}{6} - \frac{4}{3}[/tex] × [tex]\frac{9}{16}[/tex]

⇒ [tex]\frac{5}{6} - \frac{36}{48}[/tex]

⇒ [tex]\frac{5}{6} - \frac{3}{4}[/tex]

LCM of 4 and 6 is 24

⇒ 5 × 4/6 × 4  -  3 × 6/4 × 6

⇒ 20/24 - 18/24

⇒ 20-18 /24

⇒ 2/24

⇒12

hope this helps you^^

Andrew had a collection of 300 baseball cards at the beginning of the summer After the summer Andrew had traded some of his baseball cards and know he only has 213 baseball cards What percent is the decrease of his baseball cards collected

Answers

Answer:

The percentage decrease is 29%

Step-by-step explanation:

Given

[tex]Initial = 300[/tex]

[tex]Final = 213[/tex]

Required

Determine the percentage decrease

This is calculated as thus:

[tex]\%Percentage = \frac{|Final - Initial |}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\%Percentage = \frac{|213 - 300|}{300} * 100\%[/tex]

[tex]\%Percentage = \frac{|-87|}{300} * 100\%[/tex]

Get absolute value of -87

[tex]\%Percentage = \frac{87}{300} * 100\%[/tex]

[tex]\%Percentage = \frac{87* 100\%}{300}[/tex]

[tex]\%Percentage = \frac{8700\%}{300}[/tex]

[tex]\%Percentage = 29\%[/tex]

Hence, the percentage decrease is 29%

A total of 20 families participate in a car wash. Each family brings two cars. Mr. Gonzales notices that 35% of the cars were minivans. How many minivans were washed?

Answers

Answer:

14 minivans

Step-by-step explanation:

From the question

A total of 20 families participate in a car wash. Each family brings two cars.

Hence, the total number of cars brought to the car wash is:

20 × 2

= 40 cars.

Mr. Gonzales notices that 35% of the cars were minivans.

The number of minivans were washed is :

35% of the total number of cars

= 35/100 × 40

= 14 minivans

Hence, 14 minivans were washed

Please Help I’m in a test!!!!!
What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?
(A) 0
(B) 1/8
(C) 2
(D) undefined

Answers

Answer:

undefined

Step-by-step explanation:

The x coordinates didn't change so the line is vertical and vertical lines have undefined slope

5. Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? Explain your reasoning?

Answers

Answer:

andre

Step-by-step explanation:

there is 100 cm in a meter. So diego would be 1.65 meters

Answer:

Andre

Step-by-step explanation:

1.7 meters is 170 centimeters because 1 cm is 100 meters. 165 centimeters is less than 170 meters,so Andre is taller.

A police officer drives 191 miles in 152 minutes. What is the officer's average speed in miles per hour?

Answers

Answer: I think I would be about 1.323 miles per Hour

Step-by-step explanation:

Latrell took one of his friends out to lunch. The lunches cost $60 and he paid 5% sales tax. If Latrell left a 15% tip on the $60, how much in total did he pay?

Answers

Answer:

$72

Step-by-step explanation:

Cost of the lunch = $60

Sales tax = 5% of $60

= 5/100 × 60

= 0.05 × 60

= $3

Tip = 15% of $60

= 15/100 × 60

= 0.15 × 60

= $9

how much in total did he pay?

Total amount paid = cost of the lunch + sales tax + tip

= $60 + $3 + $9

= $72

Latrell paid $72 in total for the lunch


What is the perimeter of the rectangle?
A 30 cm
B. 60 cm
C. 200 cm
D. 400 cm

Answers

Answer:

60 cm

B.)60 cm

Answer:

B: 60 cm

Step-by-step explanation:

Because the perimeter you have to add all sides

so it would be 20+10+20+10 = 60

3x^2 - 8 = 67
Solve for X

Answers

Answer:

x=5

Step-by-step explanation:

3x^2=75

x^2=25

x=5

help me find p.....​

Answers

Answer:

the angle size in an nonagon is 140°

Step-by-step explanation:

Solve for the -2(3)+12

Answers

Hey the the answer for -2(3)+12=6

A triangle has 2 angles that each measure 83°. What kind of triangle is it? A. equiangular triangle B. right triangle C. obtuse triangle D. isosceles triangle

Answers

Answer:

D. isosceles triangle

Step-by-step explanation:

The two angles are equal but the third angle will not be. Therefore, a triangle with two equal angles and one not is isosceles.

F(x) = (3x - 2)/6 which of the following is the inverse of F(x) ? O A O B. F ^ 1 * (x) = (6x + 2)/3 F ^ - 1 * (x) = (2x - 3)/6 F ^ 1 * (x) = (6x - 2)/3 F ^ - 1 * (x) = (2x + 3)/6 O D.

NEED THIS ASAP!!​

Answers

Answer:

A

Step-by-step explanation:

The inverse of the given function is (6x + 2)/3.

What is the inverse of a function?

"The inverse of a function is a function that undoes the operation of that function. The inverse of a function exists if and only if the function is bijective"

Given function is

F(x) = (3x - 2)/6

⇒ y = (3x - 2)/6

If we write 'x' instead of 'y' and 'y' instead of 'x', then we get:

x = (3y - 2)/6

⇒ 6x = (3y - 2)

⇒ 3y = 6x + 2

⇒ y = (6x + 2)/3

Therefore, F⁻¹ (x) = (6x + 2)/3

Learn more about the inverse of a function here:https://brainly.com/question/16959154

#SPJ3


The formula used to convert Fahrenheit (°F ) to Celsius (°C
5(F - 32) : 9
Which represents the Celsius conversion of 77af?
19°C
O 25°C
O 109°C

Answers

Answer:

25°C

Explanation:

My mom uses Celsius and she told me, even though I was still doing the math-

solve this fast! ill give brainliest and a thank you and 5 stars

Answers

Answer: now i hav to walk my fish

1 -20

2. 200

3. -6

4. 5

5. -60

6. 45

Step-by-step explanation:

How to walk fish um u see go scuba diving in mariana trench then u find fish (hint) avoid kraken and megaladon or tell them corpse jr sent u. the put leash on fish boom u walked him (another hint) bring extra oxygen tanks u will run out then u die, to leave the kraken throws u out of water and to ur home.

- me

toodles

How is 400, 000 + 8000 + 500 + 6 written in standard form ?

Answers

Answer:

408,506

Step-by-step explanation:

Answer:

408,506

UwU

hope this helps

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