Which is the quotient of 43.5÷3 ?

Which is the quotient of 24.6÷5 ?

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

Answer:

t is the same because...

Step-by-step explanation:

turning -180 is like turning right turning left no matter how you turn you will still be in the opposite from which you started

Answer:

$1200

Step-by-step explanation:

Since he's paying $100 on a 12 month plan, you do

100 * 12 = 1200

In total he's paying $1,200.

Answer: 1200

Step-by-step explanation: Hope this helps :)

Step-by-step explanation:

sum of three angles in a triangle is 180

55+35+x=180

90+x=180

x=180-90

x=90

Answer:

after 13 hours

Step-by-step explanation:

Since the monthly fee is $4.25

so

● $4.25 + ( 2.75 × Number of hours) = 40

● ( 2.75 × Number of hours) = $40 - $4.25

● 35.75/ 2.75 = 13

Answer:

1:15

Step-by-step explanation:

4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)

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:

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

Step-by-step explanation:

Answer:

ñ

Step-by-step explanation:

ñ

Answer: Is 6

Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?

Answer:

Step-by-step explanation:

101 degrees

Answer:

468% is the percent of 4.68

Step-by-step explanation:

4.68 x 100 = 468

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

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:

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:

y= (2/3)-(1/2)

= (4-3)/6

= 1/6

=> A

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the first throw the probability that it does not land on four should be .35 not .25

On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)

Answer:

Option D

Step-by-step explanation:

Given the inequality statement: 5 + 8x < 3(2x + 4):

We must solve for the solution of the given inequality statement.

First, distribute 3 into the parenthesis:

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Next, subtract 6x from both sides:

5 + 8x - 6x < 6x - 6x + 12

5 + 2x < 12

Then, subtract 5 from both sides:

5 - 5 + 2x < 12 - 5

2x < 7

Divide both sides by 2 to solve for x:

[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]

[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]  

Since  [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that   [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint.  This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).

Therefore, the correct answer is Option D.

Answer:

11

Step-by-step explanation:

to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11

=121, the answer is 11

Answer:

11 in.

Step-by-step explanation:

The canvas has the shape of a square.

The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.

You are given the area. You need to find the side.

The area is the square of the side, so the side is the square root of the area.

side = √area

side = √(121 in.²)

side = 11 in.

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

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:

is 2/8

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

Answer:

hi there is that OK for.

Step-by-step explanation:

ok bye por and thanks again and.

Answer:

If we substitute a and b to equal 6 for example

it would be

√

6

2

+

6

2

it would equal 8.5(1.d.p) as it would be written as

√

36

+

36

giving a standard form as

√

72

However if it was

√

6

2

+

√

6

2

it would equal 12 as the

√

and

^

2

would cancel out to give the equation 6+6

Therefore

√

a

2

+

b

2

cannot be simplified unless given a substitution for a and b.

I hope this isn't too confusing.

Step-by-step explanation:

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:

14+29=43

Step-by-step explanation:just add it

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:

~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:

Z and X is incorrect