You have a rental company come and set up a tent for a wedding banquet. Each pole is 7 feet tall and the 20 foot-long rope goes from one stake to an eyelet at the top of the pole and back to the other stake. What is the equal distance each stake will be away from the base of the pole?

Answers

Answer 1

Answer and explanation:

The connection of the rope from the stake to the pole will form a triangle so that one side is the hypotenuse(the rope), another is the opposite side(the pole) and the other is the adjacent side(the distance from the stake to the pole).

The unknown side is the adjacent side which is the distance from the stake to the pole. To find an unknown side in a triangle in this form, we use the Pythagorean theorem.

Therefore c²=a²+b²

c=20ft

a= 7ft

b= unknown

So we use the formula to find unknown side(distance from stake to base of pole)

20²=7²+b²

400=49+b²

b²=400-49

b²= 351

b=√351

b= 18.735ft

Therefore distance from stake to base of pole = 18.735 feet


Related Questions

Please help with this i will give brainliest

Answers

Answer:

15.5 meters of wood.

Step-by-step explanation:

Find the perimeter of the box.

2(1.50)+2(6.25)=15.5

Answer:

15.5 m of wood

Step-by-step explanation:

The perimeter of this 1.5 m by 6.25 m frame is a measure of the length of wood needed.  Here P = 2(1.5 m) + 2(6.25 m) = 3 m + 12.5 m, or 15.5 m

PLEASE LOOK AT ATTACHMENT-25 POINTS

Answers

Answer:

Step-by-step explanation: 10/2 = 5

20^2= x^2 + 5^2

400=x^2+25

x^2=375

x= 19.4

Answer:

h = 19.36 cm

Step-by-step explanation:

using Pythagorean theorem

20^2-5^2 = h^2

h^2 = 375

h = 19.36 cm

help me out man i’ll give a crown to the smart one

Answers

Answer:

angle 4

its on the outside and it is alternate

Answer:

d

Step-by-step explanation:

Solve the system by substitution.
y = 10x
Y = -3x + 39

Answers

Answer:

x=3

Step-by-step explanation:

y=10x

y=-3x + 39

10x = -3x + 39

+3x (to both sides)

13x = 39

Divide by 13

x=3

X=3 I believe that’s the answer

Max is selling iPhone cases online. He offers two colors red and green. The red
cases (x) cost $10 each and the green cases (y) cost $20 each. He is trying to sell at
least $500 worth of cases each week. Create an inequality and graph it below.
Please state a combination of cases that meets his goal.
(Scale suggestion 1 box = $5)

Answers

Answer:

See below

Step-by-step explanation:

Red cases  x = $10 eachGreen cases y = $20 eachMinimum target is $500

Required inequality:

10x + 20y ≥ 500

The graph is attached

Some combinations:

50 red or 25 green or 18 of each color etc.Any combination of positive numbers in the shaded region.

Howdy;)

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Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written
using function notation?
flv -v+
f(x) = - 3x + 4
f(x) = - *x+
f(V) = - 3y + 4

Answers

Answer:

b) y = f(x) = -3x+4

Step-by-step explanation:

Explanation

Given that the equation   9x+3y =12

Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form

        y = f(x)

      3 y = 12 - 9x

        [tex]y = \frac{-9x+12}{3}[/tex]

      y = -3x+4

The function represented by  y = -3x+4

she has 7 large dogs and 7 small dogs. please help

Answers

Answer:

21 small dogs, 42 total dogs

Step-by-step explanation:

7×3=21

7+7=14

14×3=42

Isabella flew 720 miles in 120 minutes. How many miles per minute did
she fly?

Answers

Answer:

6 miles per minute.

Step-by-step explanation:

All you need to do is, divided 720 into 120, and you will get your answer. :)

Please help. i not smart

Answers

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

Find the measure of the angle.
5. Find m2 1.
6. Find m26.
1 2
3 4
7. Find m25.
8. Find m2 3.
5 6
750°
PLEASE GIVE ALL FOUR ANSWERS!! WILL GIVE BRAINLIEST

Answers

Answer:

hope this is what u want

and u find it helpful

A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around the edges. The perimeter of the poster is 1 2 3 times the perimeter of the printed area. What is the width of the blank strip

Answers

Answer:

90 cm

Step-by-step explanation:

Given that :

Perimeter of a rectangle = 2(Length + Width)

Perimeter of print area = 2(100 + 140) = 480cm

Perimeter of entire poster :

Let uniform width of blank strip = x

x on each of the 4 sides side ;

2(2x + 100 + 2x + 140)

2(4x + 240)

8x + 480

Perimeter of poster = 1 2/3 perimeter of print area

8x + 480 = 5/2(480)

8x + 480 = 1200

8x = 1200 - 480

8x = 720

x =. 720 / 8

x = 90 cm

Will give, Branliest.​

Answers

Answer:

24

Step-by-step explanation:

x * 5 - 17 = 103

x * 5 = 120

x = 24

Answer:

s=24

103+17=120

120÷5=24

making the answer 24

Please mark brainliest

PLEASE HELP MEEE !!!!​

Answers

Answer:

Step-by-step explanation:

Lets find out first the Area of the rectangle building

A=50*100=5000 ft^2

we have 2 circles with the radius of 42 ft, r=21ft

Acircle=3.14*(21)^2=1384.74

Area of 2 circles=2*1384.74=2769.48

What is not covered by the rings is

5,000.00-2769.48=2230.52, rounded is 2231

Choice A

its choice A. as listed in the comment above of this one

PLZ HELP ME WITH THIS QUESTION!

Answers

Answer:

C

Step-by-step explanation:

Would the 2nd answer here be correct?

Answers

Answer:

yes (i think im not for sure)

Step-by-step explanation:

Write an equation in point-slope form of a line that has a slope of -2 and
passes through the point (2, 3).

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Please gimme brainliest!!

Answer:

y-3=-2(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-2(x-2)

NEED HELP ASAP

A car is purchased for 32,000. The value of the car depreciates by 3% per year.

A. Write an exponential function to model the value of the car after t years?
B. What is the value of the car 6 years after it is purchased?

Answers

Answer:

A) car one is linear because it decreases the same amount every year.  

    car two decreases by the same ratio so it's exponential.  

B) for car one y = -6,000x + 38,000 (y is the value after x years, -6,000 is what it changes by every year, and 38,000 is the amount of year 0)

   for car two y = (44,000) (17/20)x-1 (y is the value after x years, 44,000 is the amount on year 0, and 17/20 is the ratio)

C) after 5 years car one will be 8,000

    after 5 years car two will be about 16,860

If f(x) = x², then f(2 – 3i) equals
A. -5
B. -5 – 12i
C. 13 – 12i
D. 13

Answers

Answer:

A

Step-by-step explanation:

f(2 – 3i) = (2 – 3i)^2

f(2 – 3i) = (2)^2 + (-3i)^2

f(2 – 3i) = 4 + (9)(-1)

f(2 – 3i) = 4 - 9

f(2 – 3i) = -5

These are functions in another function. The result of the function f(2-3i) is -5-12i

Composite functions

These are functions in another function. Given the function shown below;

f(x) =  x²

In order to determine  f(2 – 3i), you will replace as 2 - 3i to have:

f(2 - 3i) = (2 - 3i)²

Expand
f(2 - 3i) = 2² - 12i + 9i²
f(2 - 3i) =4 - 12i - 9
f(2 - 3i) = -5-12i

Hence the result of the function f(2-3i) is -5-12i

Learn more on composite function here: https://brainly.com/question/13502804

#SPJ6

PLEASE HELP ANYONE.....
John needs 48 stamps to complete his stamp collection. He has 30 stamps so far. What equation could you use to solve the number of stamps John needs?


A. 48 + 30 = s

B.30 + s = 48

C.30 - s = 48

D.48-s = 20

Answers

Answer:

the awnser should have is. b

The answer is B.
Just looking at the question we know he needs 18 more stamps.
You can plug in 18 for s in each of the answer choices and see that B is the only one that makes sense

Describe and correct the error in solving the following rational equation , plz help!!!!!

Answers

First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.

I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.

Correction:

[tex]\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2[/tex]

as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.

Hope this helps!

Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid

Answers

Answer:

[tex]Density = 1.094g/cm^3[/tex]

Step-by-step explanation:

Given

[tex]Length = 17.7cm[/tex]

[tex]Width = 8.3cm[/tex]

[tex]Height = 13.0cm[/tex]

[tex]Mass = 2090g[/tex]

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

[tex]Volume = Length * Width * Height[/tex]

Substitute values for Length, Width and Height

[tex]Volume = 17.7cm * 8.3cm * 13.0cm[/tex]

[tex]Volume = 1909.83cm^3[/tex]

The density is:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]Density = \frac{2090g}{1909.83cm^3}[/tex]

[tex]Density = 1.094g/cm^3[/tex] --- approximated

Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day. A. Formulate an equation in exponential form that represents the termite situation. (5 points) B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination. (5 points)

Answers

Answer:

A.P(t) = Po (1 + r)^t

P(t) = 1200( 1 + 0.024)^t

B. 1417 termites

Step-by-step explanation:

Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.

A. Formulate an equation in exponential form that represents the termite situation.

The formula for exponential growth or increase =

P(t) = Po (1 + r)^t

Where:

P(t) = Population growth after time t

P(o) = Initial Population = 1200 termites

r = Growth rate = 2.4% = 0.024

t = Time in days

Hence, the equation in exponential form that represents the termite situation is given as:

P(t) = 1200( 1 + 0.024)^t

B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.

The time of extermination = 1 week

1 week = 7 days

Hence,

t = 7 days

P(t) = Po (1 + r)^t

P(7) = 1200( 1 + 0.024)⁷

P(7) = 1200(1.024)⁷

P(7) = 1416.7099449 termites

Approximately

= 1417 termites

Pls help me with my homework

Answers

Answer:

NO

Step-by-step explanation:

It is a right triangle if the thee sides satisfy the following pythagorean triple rule/theorem, c² = a² + b², where,

c is the longest side = 50

a = 15

b = 49

Let's check:

50² = 15² + 49²

2500 = 2626 (this is not true).

Therefore, the triangle is not a right triangle. The answer is NO.

help me out with this pls (multiple choice)

Answers

Answer:

45 45 90 special triangle

7√2 = √98

x² + y² = 98

x = y

x² + x² = 98

2x² = 98

x² = 49

x = 7

y = 7

ANSWER: c

Out of the 100 cells shown how many are in the process of dividing?

Answers

over 97% would be dividing

if the simple interest on $5000 for 5 years is $1500 then what is the interest rate?​

Answers

Answer:

6%

Step-by-step explanation:

Simple interest:  A = P(1 + rt)

Solve for r: r = (1/t)((A/P) - 1)

Given:

A = $1500 + $5000 = $6500

P = $5000

t = 5 yrs

r = (1/5)((6500/5000) - 1)

= (1/5)(0.3)

= 0.06

0.06 = 6%

A cash register contains only five dollar and fifty dollar bills. It contains five times as many five dollar bills as fifty dollar bills and the tital amount of money in the cash register is $2925. How many fifty dollar bills are in the cash register?​

Answers

There 39 $50 and 195 $5.

help me asap please!!!!​

Answers

I’ll help you give me a sec

To investigate water quality, the Columbus Dispatch took water specimens at 16 Ohio State Park swimming areas in central Ohio. Those specimens were taken to laboratories and tested for E. Coli, which are bacteria that can cause serious gastrointestinal problems. For reference, if a 100 100 -milliliter specimen (about 3.3 3.3 ounces) of water contains more than 130 130 E. Coli bacteria, it is considered unsafe. Here are the E. Coli levels per 100 100 milliliter found by the laboratories:

Answers

Answer:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers

Step-by-step explanation:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers.

The line models the cost of renting a bike. It costs ​$2 per hour plus a ​$4 deposit. Write an equation in​ slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike. How much does it cost to rent a bike for 3 ​hours?

Answers

Answer:

Step-by-step explanation:

2 votes

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