On a​ zip-line course, you are harnessed to a cable that travels through the treetops. You start at platform A and zip to each of the other platforms. How far do you travel from Platform B to Platform​ C? (Including your steps would be helpful)

On A Zip-line Course, You Are Harnessed To A Cable That Travels Through The Treetops. You Start At Platform

Answers

Answer 1

Answer:

The distance from Platform B to Platform C is 26.926 units

Step-by-step explanation:

The given parameters are;

The zip-line course distance from platform A to platform F are given;

On the given graph of the path of travel we have;

Coordinates of the point B = (-25, -20) and the coordinates of the point C = (-15, 5)

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given by the formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, the distance between B and C is found by substituting (-25, -20) = (x₁, y₁) and (-15, 5) = (x₂, y₂)

Which gives;

[tex]l = \sqrt{\left (5-(-20) \right )^{2}+\left ((-15)-(-25) \right )^{2}} = 26.926 \ units[/tex]

The distance from points B to C = 26.926 units.


Related Questions

plz help ASAP !! will mark u brainlist

Answers

Answer:

D. The 4th choice.

Step-by-step explanation:

We can see from the graph that the point (-2, -5) is excluded from the line since there is there an open circle.

The domain is all real numbers except -2.

The range is all real numbers except -5.

D. The 4th choice.

D. The 4th choice.

D. The 4th choice.

D. The 4th choice.

D. The 4th choice.

D. The 4th choice.

D. The 4th choice.

D. The 4th choice.

1. The cards bearing letters of word “MATHEMATICS” are placed in a bag. Find the probability of getting: (a) any vowel. (b) any consonant. (c) the letter ‘m’. 2. 8 added to twice a number gives 40. Find the number

Answers

Answer:

1) 30%, 50%, 10%

2) x = 24

Step-by-step explanation:

Hey there!

1) "MATHMATICS"

a) Vowels - a, e, i, o, u

This is 3/10 of the letters meaning pulling a vowel is 30%.

b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z

Well there are 5 constants in mathematics so the percent is 50%.

c) Letter "m"

The letter m is 1/10 meaning pulling the letter m is a 10%.

2) 8 added to twice a number gives 40. Find the number

Well lets set u an equation,

8 + x + 8 = 40

16 + x = 40

-16

x = 24

Hope this helps :)

Answer:

In bold.

Step-by-step explanation:

1.

There are a total of 11 letters in the bag including 4 vowels, 7 consonants.

The letter m appears  twice in mathematics.

(a) Probability(getting a vowel) = 4/11.

(b)  Probability(getting a consonant) = 7/11.

(c)  Probability(getting a letter m) = 2/11.

2.  

Let the number be n, then:

8 + 2n = 40

2n = 32

n = 16.

the compound interest of a sum of money for 1 year and 2 years are rs 450 and rs 945 respectively. find the rate of interest compounded yearly and he sum.

Answers

Answer:

The answer is below

Step-by-step explanation:

The compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where A is the final amount, p is the principal (initial amount), r is the rate, t is the number of period and n is the number of times it was compounded per period.

Given that:

The interest is compounded yearly, i.e n = 1, for 1 year, t = 1, the compound interest is Rs 450 i.e A = 450. Therefore:

[tex]450=P(1+\frac{r}{1} )^{1*1}=P(1+r)\\450=P(1+r).\ .\ .\ (1)[/tex]

For 2 year, t = 2, the compound interest is Rs 945 i.e A = 945. Therefore:

[tex]945=P(1+\frac{r}{1} )^{1*2}=P(1+r)^2\\945=P(1+r)^2.\ .\ .\ (2)[/tex]

Dividing equation 2 by equation 1 gives:

2.1 = 1 + r

r = 2.1 - 1 = 1.1

r = 1.1

Put r = 1.1 in 450 = P(1 + r)

450 = P(1 + 1.1)

450 = 1.11P

P = 405.4

Therefore the rate is 1.1 = 110% and P = Rs 405.4

what would the vairable be in this equation 1÷k=2​

Answers

Answer:

yes

Step-by-step explanation:

1 divided by 1/2 is 2 so k equals 1/2


y=-5x 2 + 15x - 10 fffffft

Answers

Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in  0 for x and solve for y.

x-intercept(s): ( 2,0 ), ( 1,0 ) (2,0), (1,0)

y-intercept(s): ( 0, − 10 )

Twice a number subtracted from four times that same number added to fifteen

Answers

What? Please elaborate.
14 is going to be your answer

A yacht sailed from wharf A in a south-east direction for 10km and north-east for 24km. Find how far the yacht is from wharf A.

(A)26km
(B)21km
(C) 45km
(D) 40km

Answers

Your answer would be D

Answer:

D

Step-by-step explanation:

The answer is 40km.

24 plus 10 equals to 34 and a few extra km would lead to 40km

What is negative 1/2 divided by 4/5

Answers

Answer:

-0.625

Step-by-step explanation:

- 0.5 / .8 = -0.625

-0.625 x .8 = - 0.5

Answer:

- 5/8

Step-by-step explanation:

What is negative 1/2 divided by 4/5

-1/2 ÷ 4/5 =-1/2 × 5/4 =- 1×5/2×4 =-5/8

(9.9 x 10^2)/(1.5 x 10^-14) =
Does anyone know how to solve this?

Answers

Answer:

6.6 × 10^16

Step-by-step explanation:

What equation represents a population of 300 animals at the crease and an annual rate of 23%

Answers

the population of the animals would increase by 69 annually (23% of 300= 69)

what is the coefficient of x in 4x/5 a)1/5 b.5 c.4/5 d.4 e.-0.8

Answers

Answer:

C

[tex] \frac{4}{5} [/tex]

Co efficient means the number or value beside preventing the variable from standing alone

Answer:

c. 4/5

Step-by-step explanation:

4x/5 is the same as 4/5 * x

Julie has 12 gummy worms on her plate. She also has some gummy worms in a bag. All together, she has 36 gummy worms. The letter g stands for the number of gummy worms in the bag. Which equation can you use to find g?

Answers

Answer:

12 + g = 36

Step-by-step explanation:

If you work out the Two-Step Equation, you will get the amount for g.

find the area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet

Answers

Answer:

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

Step-by-step explanation:

An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.

The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.

The area is calculated using the following formula:

[tex]Area=\frac{n*L*Ap}{2}[/tex]

Where:

n is the number of sides. L is the length of one of the sides. Ap is the value of the apothem.

Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of ​​the regular octagon can be calculated by:

[tex]Area=\frac{P*Ap}{2}[/tex]

In this case:

P=80 ftAp=12.07 ft

Replacing:

[tex]Area=\frac{80ft*12.07ft}{2}[/tex]

Solving:

Area=482.8 ft²

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

What is the value of x? 4/5 times 1/10 =3/10

Answers

Answer:

D) 1/2

Step-by-step explanation:

4/5x-1/10=3/10

4/5x=3/10+1/10

4/5x=4/10

4/5x=2/5

x=2/5÷4/5

x=2/5*5/4

x=10/20

x=1/2

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100 What error did Barbara make in writing the equation? Barbara’s equation did not consider the number of bottles of water. Barbara’s equation did not consider the number of bottles of iced tea. Barbara’s equation did not use the correct price for the bottles of iced tea. Barbara's equation did not use the correct total for sales.

Answers

Answer:

B

Step-by-step explanation:

Just took the quiz!

The solution is : B = Barbara’s equation did not consider the number of bottles of iced tea.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle.

Let the water bottles she needs to sell be = x

Let the iced tea she needs to sell be = y

As she wants $100, she has to sell the following numbers of drinks.

1.25x + 1.49y = 100

But, Barbara wrote an equation

1.25x + 1.49 = 100

She did not put a variable with 1.49, that will depict the number of iced teas she needs to sell.

Hence, option B is correct.

To learn more on equation click:

brainly.com/question/24169758

#SPJ7

from the numbers below​

Answers

The largest rational number in the list is -6/5 and it is the third number line.

Sales Rise from 2000 per week to 2500 per week, calculate the percentage change..

Answers

Answer:

[tex]\huge\boxed{25\%}[/tex]

Step-by-step explanation:

Previous Price = 2000

Current = 2500

Increase:

=> 2500 - 2000

=> 500

%age change:

=> [tex]\frac{500}{2000} * 100 \%[/tex]

=> ( 5 * 5 ) %

=> 25%

Answer:

Percentage change = 25%

Step-by-step explanation:

To find the percentage change we use the formula

[tex]Percentage \: \: change \: \: = \frac{change}{original \: \: quantity} \times 100[/tex]

To find the change subtract the lesser one from the larger one

Original price = 2000

Final price = 2500

Change = 2500 - 2000 = 500

So the percentage change is

[tex] \frac{500}{2000} \times 100[/tex][tex] = \frac{1}{4} \times 100[/tex]

We have the final answer

Percentage change = 25%

Hope this helps you

*ANSWER PLEASE, DIFFICULT QUESTION* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 63.8 in3 b.) 56.3 in3 c.) 176.6 in3 d.) 58.9 in3

Answers

Answer:

a) 63.8 in³

Step-by-step explanation:

so the cylinder is 12 inches high

πr²h = π(1.25)²(12) = 58.90 in³

cone is 3 inches high

1/3πr²h =  = 1/3π(1.25)²(3) = 4.91 in³

58.90 + 4.91 = 63.81 in³

Answer:

63.8 in

Step-by-step explanation:

the formula of te volume of the cone is : πr²h/3

the height of te cone is the height of the tip

V=π(1.25)² * 3/3

V1=4.91( rounded to the nearest hundredth)

volume of the cylinder =πr²h ( the height of cylinder=25-3=23)

V2=π(1.25)²*12

V2=58.90

V1+V2=4.91 +58.90=63.81 ≅63.8

Which best describes how to determine the decimal number that is modeled? 7 of 100 parts have been shaded, and 7 hundredths is written as 0.07 7 of 10 parts have been shaded, and 7 tenths is written as 0.7 7 of 100 parts have been shaded, and 7 hundredths is written as 0.7 7 of 10 parts have been shaded, and 7 tenths is written as 0.07

Answers

Answer:

7 of 100 parts have been shaded, and 7 hundredths is written as 0.07

Step-by-step explanation:

Note that we have a grid of 100 squares and 7 of those squares are shaded. We can represent the shaded portion by saying 7/100 which is equivalent to .07.

With this information, we can say 7 out of 100 is shaded and is representative of 7 hundredths.

Note that each digit after the decimal is a multiple of (1/10). We can express this as (1/10)^n where n is the digit place after the decimal.

In this case, we have 7, two digits after the decimal so it will be equivalent to 7 * (1/10)^2 = 7 * (1/100) = 7/100.

Cheers.

A new Community sports complex is being built in Erie. The perimeter of the rectangular playing is 292 yards. The length of the field is 7 yards less than double the width. What are the dimensions of the playing field?

Answers

Answer:

length = 95 yardswidth = 51 yards

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 292 yards

The statement

The length of the field is 7 yards less than double the width is written as

l = 2w - 7

Substitute the expression into the above formula and solve for the width

292 = 2( 2w - 7) + 2w

292 = 4w - 14 + 2w

292 = 6w - 14

6w = 292 + 14

6w = 306

Divide both sides by 6

w = 51

Substitute this value into l = 2w - 7

That's

l = 2(51) - 7

l = 102 - 7

l = 95

Therefore we have

length = 95 yards

width = 51 yards

Hope this helps you

You have a box with 6 blue marbles, 7 red marbles, and 2 yellow marbles. You are going to pull out one
marble, record its color, put it back in the box and draw another marble. What is the probability of
pulling out a yellow marble followed by a blue marble?

Answers

Answer:

12/225 or 4/75.

Step-by-step explanation:

I hope this helps!

Answer as a fraction = 4/75

Answer in decimal form = 0.05333 (approximate)

Answer in percent form = 5.333% (approximate)

=======================================================

Work Shown:

A = event of pulling a yellow marble on the first selection

P(A) = 2/15 since there are 2 yellow out of 6+7+2=15 total.

B = event of pulling a blue marble on the second selection

P(B) = 6/15 = 2/5

Note how the 15 does not drop to 14 since we put the first marble back. Therefore events A and B are independent

---------

P(A and B) = probability of getting yellow, then blue

P(A and B) = P(A)*P(B)

P(A and B) = (2/15)*(2/5)

P(A and B) = (2*2)/(15*5)

P(A and B) = 4/75

P(A and B) = 0.05333 approximately

P(A and B) = 5.333% approximately

If the hypotenuse of a right angled triangle is 37cm long and a side is 35cm. Find the length of the third side. 9cm
10cm
11cm
12cm

Answers

Answer:

From the pythagorean theorem:

AB²+BC²=AC²

x+35²=37²

x+1225=1369

x=1369-1225

x²=144 cm

x=radical 144=12

Answer:

[tex]\huge\boxed{b = 12 cm}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem:

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

Where c is hypotenuse(37 cm), and one of the side is 35 cm.

=> [tex]37^2 = 35^2 + b^2[/tex]

=> [tex]b^2 = 37^2-35^2\\[/tex]

=> [tex]b^2 = 1369 - 1225\\[/tex]

=> [tex]b^2 = 144[/tex]

Taking sqrt on both sides

=> b = 12 cm

Find the value of c and a.

Answers

Answer:

            c = 93.5° ,    a = 52°  

Step-by-step explanation:

x = 52°

b = ¹/₂(2x) = x = 52°

y = 180° - 90° - x

y = 90° - 52° = 38°

a = 180° - 90° - y = 90° - 38° = 52°

p = 83°

q = ¹/₂p = 41.5°

(180° - c) + b + q = 180°

180° - c + 52° + 41.5° = 180°

    - c = - 93.5°

       c = 93.5°    

Hi pls help if you’re good at trigonometry, tysm

Answers

Answer:

1) a = 65

2) b = 61

3) c = 55

Step-by-step explanation:

1)

a + 115 = 180

a = 65

2)

b + 119 = 180

a = 61

3)

c + 75 + 50 = 180

c = 55

If a 2.2-kg ball is thrown with a velocity of 10m/s what is its KE​

Answers

Answer:

110 joules

Step-by-step explanation:

[tex]Mass = 2.2kg\\Velocity = 10m/s \\K.E = \frac{1}{2} mv^2\\K.E = \frac{1}{2} \times 2.2 \times 10^2\\K.E = \frac{1}{2} \times 220\\K.E = \frac{220}{2} \\K.E = 110 joules[/tex]

Answer:

The answer is 110 Joules

Step-by-step explanation:

Kinetic energy ( KE) of an object is given by

[tex]KE = \frac{1}{2} m {v}^{2} [/tex]

where

m is the mass

v is the velocity

From the question

m = 2.2 kg

v = 10 m/s

Substitute these values into the above formula

That's

[tex]KE = \frac{1}{2} \times 2.2 \times {10}^{2} [/tex]

[tex]KE = 1.1 \times 10[/tex]

We have the final answer as

Kinetic energy = 110 Joules

Hope this helps you

Use the flowchart to determine whether the opposites of the numbers
in questions 1 through 4 are positive or negative. Then give the
opposite of each number.
1. -2.7
2. 2/7
3. 3 1/8
4. – 0.9​

Answers

The flow chart determine that the answer is 9

Omar uses the factor theorem to determine whether x−3 is a factor of 4x4−12x2−18x−162. How does he proceed to the correct answer? A-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 108 and concludes that x−3 is a factor. B-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 108 and concludes that x−3 is not a factor. C-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. D-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.

Answers

Answer:

C- Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.

Step-by-step explanation:

Factor Theorem can be defined as a method or theorem that is used in mathematics to simplify polynomials. It is used to confirm if a particular root is the real root of the polynomial.

Factor Theorem states that:

a) If p(x) is a polynomial of degree of n is greater than 1 (n > 1) and a is any real number, then

b) x – a is a factor of p(x)

if p(a) = 0, x – a is a factor of p(x).

In the question above, we are told that:

Omar uses the factor theorem to determine whether x−3 is a factor of 4x⁴ −12x² − 18x − 162.

Using Factor Theorem,

b) x – a is a factor of p(x)

if p(a) = 0, x – a is a factor of p(x).

x - 3 = 0, x = 3

p(x) = 4x⁴ −12x² − 18x − 162 = 0

p(3) = 4(3)⁴ - 12(3)² - 18(3) - 162 = 0

p(3) = 4(81) - 12(9) - 18(3) - 162 = 0

p(3) = 324 - 108 - 54 - 162 = 0

p(3) = 324 - 324 = 0

p(3) = 0 = 0

Hence, since p(3) = 0, x - 3 is a factor of polynomial 4x⁴ −12x² − 18x − 162 .

Therefore,Option C- "Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. " is the correct answer.

Answer:

Answer is D on edge2020

Step-by-step explanation:

Omar should factor out a negative from one of the groups so the binomials will be the same.

if x and y vary directly and x= 60 when y=5, what is the value of y when x=36?

Answers

Answer:

12

Step-by-step explanation:

Which function is a quadratic function? A. c(x) = 6x + 3x3 B. d(x) = x – 8x4 C. p(x) = –5x – x2 D. k(x) = 2x2 + 9x4

Answers

Answer: C.  p(x) = -5x-x^2

This is the same as p(x) = -x^2-5x

The degree is the largest exponent to determine what kind of polynomial we're dealing with.

For choice C, the degree is 2, so we have a quadratic here.

-----------

Extra info:

Choice A is cubic because the largest exponent is 3 (degree = 3)Choice B is a quartic of degree 4Choice D is the same story as choice B

4. Which correlation coefficient is stronger 0.52 or -0.52?

Answers

0.52 is the stronger coefficient

Answer:

They are both the same because the coefficient of -0.52 is negative and 0.52 is a positive which makes 0.52 a stronger coefficient.

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