There is a rope running from the
top of a flagpole to a hook in the
ground. The flagpole is 6 meters
high, and the hook is 8 meters
from its base. How long is the
rope?

Answers

Answer 1

Answer:

10 meters

Step-by-step explanation:

Use the Pythagorean Theorem for this one:

[tex]a^{2} + b^{2} = c^{2}[/tex]

If a = 6, b = 8, then:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]6^{2} + 8^{2} = c^{2}[/tex]

[tex]\sqrt{6^{2} + 8^{2}} = c[/tex]

[tex]\sqrt{36 + 64} = c[/tex]

[tex]\sqrt{100} = c[/tex]

[tex]10 = c[/tex]

[tex]c = 10[/tex]

According to the Pythagorean theorem, if the flagpole is 6 meters high and the hook is 8 meters from its base, the rope is 10 meters long.

Hope this helps!


Related Questions

answers for the 2 boxes please :)​

Answers

(-3,-4) you can double check by plugging the values into a calculator if you want

Please Help! It’s due today!

Answers

Answer:

1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.

2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.

-54 + 17 equals 54-17 = 37.  

-96 < 37, so -35 + (-61) is less.

Step-by-step explanation:

The explanation is in the answer section, since your homework asked for me to explain.

HURRY I NEED HELP

Does the graph shown below represent Y as a linear function of x
Yes or No

Answers

Answer:

no

Step-by-step explanation:

linear functions have straight lines

so this is not a linear function

What percent of offspring will be blue eyed?

0%
25%
50%
100%
Please I need help

Answers

Answer:

I believe the answer is 0% because the blue eye trait is recessive.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

25%

Step-by-step explanation:

blue eyes are the resesive gene but there is still a 25% chance.


Express in the form 1:1.
Give 12 as a fully simplified fraction
8:6

Answers

Step-by-step explanation:

[tex] \frac{1}{1} = 1:1[/tex]

[tex] \frac{2}{2} = 1:1[/tex]

[tex] \frac{3}{3} = 1:1[/tex]

[tex] \frac{4}{4} = 1:1[/tex]

[tex] \frac{5}{5} = 1:1[/tex]

[tex] \frac{6}{6} = 1:1[/tex]

[tex] \frac{7}{7} = 1:1[/tex]

[tex] \frac{8}{8} = 1:1[/tex]

[tex] \frac{9}{9} = 1:1[/tex]

[tex] \frac{10}{10} = 1:1[/tex]

[tex] \frac{11}{11 } = 1:1[/tex]

[tex] \frac{12}{12} = 1:1[/tex]

HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! :)

find the solution set.

Answers

Part A: m< -6

---

Part B: a < 25

---

Part C: x < 16

---

Part D: p > 8

What is a fraction equal to 2/3? *

Answers

Answer:

Here are multiple :)

4/6

6/9

8/12

10/15

12/18

14/21

16/24

Hope this helped!

Answer:

2/3 | 4/6 | 8/12 | 16/24 | 6/9 | 10/15 | 14/21 | 16/24 | 18/27 | 20/30

Write the function a a product of linear factor by grouping or using the x method or a combination of both

g(x) = x2 - 9

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given function to us is :-

[tex]\bf \implies g(x) = x^2 - 9 [/tex]

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

[tex]\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup [/tex]

I have also attached the graph of x²-9.

Hence option A is correct .

27÷819=
give me the quotient for 27÷819

Answers

Answer:

.032967033

Step-by-step explanation:

Answer:30.33333333 or just 30.3

Step-by-step explanation:

30.33333333333333

I just need number 32 and 33 please show work if you can​

Answers

Step-by-step explanation:

Interior angle + Exterior angle = 180°.

Size of Interior angle = 180° - 360°/n.

Question 32:

Exterior angle = 72°

Interior angle = 180° - 72° = 108°.

Therefore 180° - 360°/n = 108°, n = 5 => 5 sides.

Question 33:

Exterior angle = 36°

Interior angle = 180° - 36° = 144°.

Therefore 180° - 360°/n = 144°, n = 10 => 10 sides.

Answer: 32.) 108°. 5 sides

33.) 144°. 10 sides

Step-by-step explanation:

To find an interior angle subtract the given exterior angle from 180.

180 - 72 = 108

180 - 36 = 144

To find the number of sides of a regular polygon, divide 360 by the exterior angle.

360/72 = 5

360/36 = 10

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

Answers

Answer:

V= 50.27

Step-by-step explanation:

V=(3.14)4^2(3/3)

50.27

The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³

Volume of cone-based problem:

What information do we have?

Diameter of cone = 8 feet

Height of cone = 3 feet

Radius of cone = 8 / 2

Radius of cone = 4 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(4²)(3)

Volume of cone = (1/3)(3.14)(16)(3)

Volume of cone = 50.24 feet³

Find out more information about 'Cone'.

https://brainly.com/question/16394302?referrer=searchResults

double s, then multiply t by the result

*INCLUDE ANY PARENTHESES OR MULTIPLICATION SYMBOLS IF NEEDED!!!!*

Answers

Umm was there supposed to be another picture

What expression can you substitute for y in
this equation?
-4y + x = -27
Enter the correct answer.

Answers

Answer:

1/4x+27/4

Step-by-step explanation:

Here's the equation: -4y+x=-27

We'll need to isolate y on one side

subtract x from both sides

-4y=-x-27

divide everything by -4

y=1/4x+27/4

So you can substitute 1/4x+27/4 for y.

hope this helps!

solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)

Answers

Answer:

4x-3y=8

Simplifies to x=3/4y+2

2x+5y=-9

Simplifies to -5/2y+-9/2

Find 2a for a = 3 1/4. 23 1/4 6 1/4 6 1/2 5 1/2

Answers

Answer:

6 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

you are adding 3 1/4 to 3 1/4 which is 6 2/4 or 6 1/2

or you can multiply 13/4 by 2 to get 26/4 or 13/2 which, again, is 6 1/2

The number of penguins in Antarctica decreased by 30% between last year and this year. Last year there were 650 penguins. What is the population this year?

Answers

9514 1404 393

Answer:

  455

Step-by-step explanation:

The decrease was 30% of 650, or ...

  0.30 · 650 = 195

So, the population this year is ...

  650 -195 = 455

Answer:

455 Penguins

Step-by-step explanation:

1.) 650 x 0.30 = 195

2.) 650 - 195 = 455

Final answer: 455 Penguins

Hope this helped!


Write 8 x 10^-4 in standard notation.

Answers

Answer:

0.0008

Step-by-step explanation:

[tex]8 \times {10}^{ - 4} = 0.0008[/tex]

Expand and simplify
(x + 3)(x + 5)​

Answers

Answer:

x^2+8x+15 this is it simplified

Simplify fully V8 x V18

Answers

Answer:

12

Step-by-step explanation:

·[tex]\sqrt{8}[/tex]×[tex]\sqrt{18}[/tex]=[tex]\sqrt{144}[/tex]

[tex]\sqrt{144}[/tex]=12

Answer:

12

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

Given

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

Simplifying each radical

[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Thus

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

= 2[tex]\sqrt{2}[/tex] × 3[tex]\sqrt{2}[/tex]

= 2 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]

= 6 × 2

= 12

NEED HELP PLEASE 20 POINTS!!!!

Answers

I think the answer is B

Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?

Answers

Answer: She makes 63 ornaments in 14 hours

Step-by-step explanation:

4 = 18

14 = x

Cross multiplication

4x = 18 x 14

4x = 252

x = 63

Answer:

She can make 63 ornaments in 4 hours

Step-by-step explanation:

she makes 4.5 in a hour so just times that by 14

I’ll DO ANYTHING IF U ANSWER THIS WHOLE THING

Answers

Answer:

13/12

Step-by-step explanation:

Which expressions are equal to 105?

Answers

Answer:

2•2²×100+5.

Step-by-step explanation:

Off the 300 television sets sold at an electronics store last month, 90 were flat screen TVs . What is the ratio of the flat screen TVs to TVs sold last month ( geometry)

Answers

Answer:

3/7 is the correct answer

Step-by-step explanation:

Answer:

my answer is that is 3/7 because look at the question and you will see what i mean.

Step-by-step explanation:

Find the value of x
?????

Answers

Answer:

2x+57°+x=180 ( angle sum property of triangle)

3x=123

x=41

I just wanted to let you know I had to go eat a little bit earlier I have a lot to do for you to

The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)

Answers

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

Can you help me -3-
only the first problem (a)

Answers

Answer: -18

Step-by-step explanation:

Turn 2 1/4 into an improper fraction --> 9/4

Now the expression is:

9/4 x -8

Multiply 9 x -8 and that gives you -72...

Then, divide 4 from -72 which is -18!

Hope that helped!

Can anyone help solve this?

Answers

Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?

Answers

Answer:

[tex]y=\frac{-1}{2} x+1[/tex]

Step-by-step explanation:

In this case , we'll have to carry out several steps to find the solution.

Step 01:

Data

x   y

-2  2

4   -1

Equation of the line =?

Step 02:

Equation of the line

Slope formula:

[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]

Point-slope form of the line

[tex](y-y1)=m(x-x1)[/tex]

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

The answer is:

The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]

PLEASE MARK ME AS BRAINLIEST

Which fraction and decimal forms match the long division problem?
A.4/15 and 0.26
B.4/15 and 0.26
C.15/4 and 0.266
D.15/4 and 0.26​

Answers

Answer:

C would be the correct answer. :D

Other Questions
Can you please help me with this question :-) :-) :-) :-) :-) :-) :-) :-) :-) Please help expand the polynomial(x^(2)+xy-y^(2))(x+y) I NEED HELP ASAP!!!!!!!!!!!How did the outcome of the war impact navtice Americans Multiple ChoiceWhich of the following represents a unit rate? A. four dollars over twelve books B. five pages over two minutes C. eighty beats over one minute D. seventy two inches over two yards Factor the expression using the GCF 16x+56y 15 POINTS PLEASE HELP!!! What are the metric units for acceleration? PLEASE HELP ASAP!! Will give BRAINLIEST for the first correct answer!Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test wasnot normal. In fact, the class results were positively skewed. According to this, which of thefollowing would be true?OPTIONS:A. The mean, median, mode would all be the same B. The mean would be higher than the median and mode C. The mean and median would be the same, but the mode would be higher D. The mode and median would be higher than the mean What are idioms and phrases ?" BIRD IDIOMS AND PHRASES "Please answer fast... please....And please answer these questions -> Words to knowFill in this table as you work through the lesson. You may also use the glossary tohelp you.analysisa carefulcharacterizationthe way a character isconflictabetween two forcesnuity, Inc. A 1,000 kg truck initially had a velocity of 9 m/s. A force acts on it for a duration of time. After that force, the truck now has a velocity of 17 m/s. What is the impulse that the truck experienced? What is the topic of this paragraph?health and safety in Elizabethan Englandhealth and safety in modern Englandsymptoms of the plaguesymptoms of infectious diseases ummmmmmmmmmmmmmmmmmmmmmmmmm help pls find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour 4/x = 2/7 please help ASAP!! 23. In both plant and animal cells, the cellmembrane(1) produces enzymes(2) controls reproduction(3) is composed of sugars(4) regulates diffusion Explain the idea of "survival of the fittest" with regards to a population of beavers in a lake in which some have large incisor teeth and others have small incisor teeth. im stuck on this question i need help The Drosophila genes for white eyes (w), cut wings (ct), and tan body (t) lie at map positions 2.00, 15.0, and 21.0, respectively. Of 1000 progeny, 7 are double crossovers. What is the degree of interference