To secure a telephone pole, a steel cable will be attached to a ring on the pole 12 feet above the ground. If the cable is 15 feet long, how far from the base of the pole will the other end of the cable be anchored?

Answers

Answer 1

Answer:

9 ft

Step-by-step explanation:

Pythagorean theorem:

x = the  square root of 15 square minus 12 square

x= square root of 225-144

x= square root of 81

X = 9


Related Questions

Given 300mL of a gas at 17.0 degrees Celsius, what is the volume at 10 degrees Celsius if the pressure remains constant?

Answers

Answer:

292.75mL

Step-by-step explanation:

From the ideal gas equation

PV= nRT

With each symbols having standard meaning

For pressure remaining constant the equation for two states can be written as

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

Given V_1 = 300mL, T_1 = 17° C = 290K and T_2 = 10°C or 283K

Now plugging values in above equation to find V_2

[tex]\frac{300}{290} =\frac{V_2}{283}\\V_2 =\frac{300}{290}\times283 = 292.75mL[/tex]

Therefore, the volume at 10 degrees Celsius = 292.75mL

Please help me with this-

Answers

Answer and Step-by-step explanation:

Section the figure into two 3D shapes.

We get both figures to be a rectangular prism.

The Volume of a rectangular prism is length times width times height.

V (of top Rectangular Prism) = 2 × 2 × 4 = 16

V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48

Now, we add those two volumes together to get the volume of the irregular figure.

16 + 48 = 64.

The volume of the irregular figure is 64 [tex]cm^3[/tex]

#teamtrees #PAW (Plant And Water)

Which of the following best describes the relationship between the variables on the scatter plot below?
8
7
6
0 1 2 3 4 5 6 7 8 9 10 11 12 13
A non-linear association
B. linear and non-linear association
C. linear association
no association

Answers

Answer:

C) linear association

Step-by-step explanation:

A rectangular prism measures 8 inches in width,12 inches in length and 4 inches in height.What is the surface area of the prism? Enter your answer In the box.​

Answers

Answer:

352

Step-by-step explanation:

A = 2(wl+hl+hw) = 2(8 · 12 + 4 · 12 + 4 · 8) = 352

A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?

Answers

Answer:

the answer is 66feet

Step-by-step explanation:

can i get a brainliest plz

What is the formula to find the IQR or at least how do you calculate it from a boxplot?

Answers

Answer:

The IQR is the difference between quartile 3 and 1

Step-by-step explanation:

Answer:

IQR = Q3 - Q1

the price of a video game decreased from $60 to $54. what percentage did the price decrease by?

Answers

Answer: 90%

Step-by-step explanation:

7. Consider the inequality below. PART A: Select all values of x that make the inequality true. *
6x < 42

Answers

Answers:

1, 2, 3, 4, 5, and 6

You went to your favorite restaurant for dinner, and the food and service was great. You spent $45.78 and want to leave a 20% tip. How much money should you leave for a tip?

Answers

Answer:

a

Step-by-step explanation:

ABC is isosceles.
m < a = 3x + 40 and m < c = x + 50
what is m < a ??​

Answers

Answer:

55°

Step-by-step explanation:

It is assumed the angles A and C are congruent:

3x + 40 = x + 503x - x = 50 - 402x = 10x = 5

m∠A = 3*5 + 40 = 55°

Answer:

solution given:

m<a=m<c

3x+40=x+50

3x-x=50-40

x=10/2=5

now

<a=3×5+40=55°

m<a=55° is your answer

Antwone has a tutoring business. For every hour that he tutors, he makes $30. Select the equation that can be used to determine the total amount of money, y, Antwone makes for tutoring x hours. A x = 30y B y = 30x C x = 3y D y = 3x

Answers

Answer:

B. y = 30x

Step-by-step explanation:

Answer:

The answer to this problem is B)y = 30x

Step-by-step explanation:

NO LINKS and whoever answers correctly and first gets the brainliest

Answers

Answer:

i think it is A

Step-by-step explanation:

Answer:

A)  m = 1300 - 35(8)

Step-by-step explanation:

If your savings account has $1300 in it, and 35 is being taken away every month for 8 months, then you would multiple the months by the amount of money being taken away then subtract the amount from the total amount of money in her account. There for 'm = 1300 - 35(8)'.

what are two fractions with the sum of 3/2??

Answers

1/2 + 2/2 = 3/2

............................

1) a) What are perpendicular lines and parallel lines

Answers

Perpendicular lines are lines that intersect and parallel line are lines that are parallel to each-other and never intersect

Answer:

the property of being perpendicular is the relationship between two lines which meet at a right angle.

parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

Which number is rational?
o 22
O 16

Answers

Square root of 16 because it equals to 4 which is a rational number

Find the area of the trapezoid, I will give brainlist. If you can please explain how you got the answer

Answers

Answer:

36 sq inches

Step-by-step explanation:

bases are the two parallel sides -- 8" and 4"

height is perpendicular to the base -- 6"

formula for area of a trapezoid:  A = 1/2h·(sum of bases)

A = 1/2(6)(8 + 4)

A = 3(12)

A = 36 sq inches

A skateboard ramp at a park has an inclination of 54º and its base is 12 feet long. What is the length of the ramp?​

Answers

The length of the skateboard ramp at the park is 20.4 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let x represent the length of the ramp, hence using trigonometric ratio:

cos(54) = 12/x

x = 12/cos(54)

x = 20.4 feet

The length of the skateboard ramp at the park is 20.4 feet.

Find out more on trigonometric ratio at: https://brainly.com/question/4326804


Scott stood on a 42 in. high chair, then jumped into a 8 in.
deep hole. Which equation applies to his action?

Answers

Answer:

8-42 = -34 will be applied

it's all on the picture ​

Answers

The correct answer is alone! :)


Ling and her family ordered takeout that cost $50. Ling paid 4% sales tax and left a 10% tip
on $50. What was the total cost?

Answers

Answer:

57

Step-by-step explanation:

tax

= tax percentage×amount

= 0.04×50

= 2

The tax was $2.

tip

= tip percentage×amount

= 0.10×50

= 5

Based on the information given the total cost is $57.

Using this formula

Total cost=Takeout cost+ Sales tax +Tip

Where:

Takeout cost=$50

Sales tax=(4%×$50)=$2

Tip=(10%×$50)=$5

Let plug formula

Total cost=$50+$2+$5

Total cost=$57

Inconclusion the total cost is $57.

Learn more about sales tax here:https://brainly.com/question/24314569

If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.

Answers

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

To learn more about the simplest radical form, visit:

https://brainly.com/question/565192

#SPJ1

Alan has read 70% of a book. He has 15 more pages to finish. How many pages are there in the
book?

Answers

50 pages. See the details in the attached picture.

a class sold tickets to their school play. each of the 23 students in the class sold 4 tickets. the cost of each ticket was 7$

Answers

Answer:

would it be $644

Step-by-step explanation:

because if you multiply 24 x 3 that gives you 99 and then multiply 99 by $7 that gives you 644. i could be wrong but i dont know :3

Answer:

$644

Step-by-step explanation:

Step 1)

First we do 23 x 4 to find the total tickets sold and we get 92 tickets sold altogether

Step 2)

Then we do 92 x $7

FINAL ANSWER)

$644

A carpenter had a piece of wood that was 12 feet in length.If he needs only 8 5/12 feet of wood, then how much wood should he cut?

Answers

3 7/12 feet of wood.

Simplify the expression

(-3v)^5

Answers

Answer:

=-243v^5

Step-by-step explanation:

=-(3v)^5

=-3^5v^5

=3^5=243

=-243v^5

Helped by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

=-243v^5

Step-by-step explanation:

[tex](-3v)^5 = -3 x-3 x-3 x-3 x-3 = -243 ..than..add..the..v..which..equals..--243^5\\[/tex]

I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!

If the black cloth absorbs heat energy, why was the ice cube at room temperature covered with the black cloth the slowest to melt?

Answers

The cloth acts as insulation it doesn't matter the colour . And as to Black cloth attracting Heat this is only partially true if you put a black cloth in the room with no windows and the temperature of the room was 70° the cloth will not get any hotter black cloth absorbs infrared energy this makes it feel warmer

About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?

Answers

Answer:

[tex]A=339.42\ cm^2[/tex]

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]

So, the required area is [tex]339.42\ cm^2[/tex].

A number decreased by 9 is 12. Which equation represents this situation?

Answers

Answer:

x - 9 = 12

Step-by-step explanation:

We can use x as "a number"

So the equation so far is just "a number", or x.

Decreased by 9 can also be said as subtracted by 9, so that makes the equation x - 9.

"is 12" can also be said as equals 12, which makes the equation x - 9 = 12

Answer:

_ - 9 = 12

Step-by-step explanation:

You can identify the starting number by adding 9 and 12 together to get 21. The completed equation would be 21 - 9 = 12.

What is the measure of angle x?

A 44°

B 53°

C 83°

D 180°

Answers

Answer:

the correct answer is D (what a drag)

The ages of a group of randomly selected adult females have a standard deviation of years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students

Answers

Answer:

Assume that we want 90% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is . (Round up to the nearest whole number as needed.) Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? A. Yes, because statistics students are typically younger than people in the general population. O B. No, because there is no age difference between the population of statistics students and the general population. O C. No, because statistics students are typically older than people in the general population.

Step-by-step explanation:

♥☺

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