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?

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

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]

Part A: m< -6

---

Part B: a < 25

---

Part C: x < 16

---

Part D: p > 8

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:

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.

Answer:

2•2²×100+5.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

linear functions have straight lines

so this is not a linear function

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

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

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

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.

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!

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

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

Answer:

C would be the correct answer. :D

Answer:

.032967033

Step-by-step explanation:

Answer:30.33333333 or just 30.3

Step-by-step explanation:

30.33333333333333

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°

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

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!

Answer:

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

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:

Answer:

4x-3y=8

Simplifies to x=3/4y+2

2x+5y=-9

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

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

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.

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!

Answer:

0.0008

Step-by-step explanation:

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

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

Answer:

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

3x=123

x=41

Answer:

13/12

Step-by-step explanation: