8 2/3 and 10 23/32 in its simplest form

The length of the zipline is found using Pythagoras's theorem, which gives

the length of the hypotenuse side of a right triangle.

Reasons:

Height at which the zipline will be tied to one of the trees = 42 feet

Height at which the zipline will be tied to the other tree = 3 feet

The distance between the trees = 60 feet

Required:

The length of the zipline

Solution:

The length of the zipline is found as follows;

Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)

The coordinates of the other tying point = (60, 3)

The in the imagined right triangle formed by the zipline and the distance

between the trees, the length of the zipline is given by Pythagoras theorem

as follows;

Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56

Length of the zipline ≈ 71.56 ft.

Learn more here:

https://brainly.com/question/14463850

Putting y=-3 in second equation

[tex]\\ \sf\longmapsto x-(-3)=8[/tex]

[tex]\\ \sf\longmapsto x+3=8[/tex]

[tex]\\ \sf\longmapsto x=8-3[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

Divide the option with 4 so that you can get the equivalent ratio to 5:9 .

Answer:

∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.

∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.

Step-by-step explanation:

Answer:

252, 1 1/4, 308, 1 1/2

Step-by-step explanation:

5. The kitchen is 2 1/4 in by 1 3/4 in. 2 1/4in = 9/4in = 18ft. 1 3/4in = 7/4in = 14ft.

So we have 18ft by 14ft. The area is one side multiplied by the other side:

18 × 14 = 252ft^2.

6. 10/2 = 5. 5/4 in = 1 1/4in.

7. Bedroom 2 is 1 3/4in by 2 3/4in. 1 3/4in = 7/4in = 14ft. 2 3/4in = 11/4in = 22ft.

14ft × 22ft = 308ft^2 of carpet.

8. 12ft/2 = 6. 6/4 = 1 2/4 = 1 1/2 in.

Hope that helps!

__________

[tex] \: [/tex]

Answer in the picture.

Answer:

Equivalent Expression:  [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]

Step-by-step explanation:

Given the exponential expression,  [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:

We could use the Quotient Rule of Exponents where it states that:

[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]

Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.

[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]

[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]

Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:

[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]

Applying the Negative Exponent Rule will result in the following exponential expression:

[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]

Therefore, the equivalent expression is:  [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].

Answer:

$44

Step-by-step explanation:

it's math

Answer:

$59.4

Step-by-step explanation:

Turn the percentage into a decimal.

8% = 0.08

Multiply.

55 * 0.08 = 4.4

Add.

59.4

Best of Luck!

Answer:

Linear

Step-by-step explanation:

This is linear because using the data you have provided we can work out that the equation is y= -5x+27

y= mx+ c (c is the gradient)

This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.

For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.

Hope this helps!

Answer:

28000

Step-by-step explanation:

You multiply 4 and 700.

Answer:

525 students

Step-by-step explanation:

There will be 175 chaperones on the trip.

All you need to do is find 1/4 of 700 which is the number of chaperones.

Then subtract it by 700 to find the number of students.

I hope this helps!!

Answer:

here's the answer mark me brainliest!!

Answer:

Step-by-step explanation:

2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)

                                 = (p + 4q)(2p - q)

Answer:

14+29=43

Step-by-step explanation:just add it

Answer:

is 2/8

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

Answer:

468% is the percent of 4.68

Step-by-step explanation:

4.68 x 100 = 468

Answer:

d

Step-by-step explanation:

range means y values so automatically a and b aren't right

there's no limits for y since it's linear, so it's D

that R sign basically means "all real numbers"

Answer: No

Step-by-step explanation:

There's no noticeable pattern.

Answer:

4b<30

Step-by-step explanation:

product means multiply so 4•b or 4b

less than so<

Step-by-step explanation:

addition means the sum of 2 numbers

so.....b+4 <30

b <30-4

B <26

914 1404 393

Answer:

  24% of 24 is not a whole number

Step-by-step explanation:

24% of Mrs. Cho's students is ...

  0.24 × 24 = 5.76 . . . students

This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.

Answer:

y=-9x-1

Step-by-step explanation:

since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1

Answer:

y=-9x-1

Step-by-step explanation:

Answer:

$308

Step-by-step explanation:

I am not sure if this is correct. But try it and let me know if it was

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

Answer:

20

Step-by-step explanation:

4 + 5 = 9

45 / 9 = 5

4 * 5 = 20

hope this helps

Blank 1: 7

Blank 2: 3

Blank 3: 2

Blank 4: 2

Answer:

~100.35385

Step-by-step explanation:

You just gotta take the time to do the long division. Alternate forms could be 100 23/65

Answer:

The answer is 2 and 2/5 i hope this can help.

Step-by-step explanation: