HELP!!!

Scott and Mark are rock climbing.



Scott is at the top of a 75‑foot cliff, when he throws a 96‑foot rope straight down to Mark, who is on the ground directly below.



If the rope is stretched tightly from Mark’s feet to Scott’s feet, how far over from the base of the cliff s Mark standing?

Answers

Answer 1

Answer: 59.98

Step-by-step explanation: :)

Answer 2

The distance between them is 59.92 ft

What is Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

Given that, a scenario that is making an arrangement of a right-angled triangle, we need to find the base, [refer to the figure attached]

So, here we will use the Pythagoras theorem

75²+base² = 96²

base² = 96²-75²

base = √3591

base = 59.92

Hence, the distance between them is 59.92 ft

Learn more about Pythagoras theorem click;

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HELP!!!Scott And Mark Are Rock Climbing. Scott Is At The Top Of A 75foot Cliff, When He Throws A 96foot

Related Questions

First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required

Answers

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)

A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is

Answers

Step-by-step explanation:

this is the answer i hope to get full mark

The percentage of the discount is %25.

This is because 15 is %25 of 60(full price)

Hope this helps! Have a great day! :)

Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17

Answers

X will be equal to 13

y/-2 = -34
giving brain.

Answers

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

[tex]\frac{y}{-2} *-2=-34*-2[/tex]

[tex]y = 68[/tex]

1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?

Answers

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 6 , then 6² = 36

4² + 3² = 16 + 9 = 25

Since 4² + 3² ≠ 6² then triangle is not right.

What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
-5, -2, 1,4
-4,-3,0,5
-3,0,3,6
-2,0,2,4

Answers

Answer:

the first four terms is 3, 0, -3, -6

Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
Yeah

Answers

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

[tex]y = x + 3[/tex]

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

Given the equation

[tex]y = x - 3[/tex]

comparing with the slope-intercept form of the line equation

Slope m = 1

Important Tip:

As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

[tex]y = mx+b[/tex]

[tex]1 = 1(-2) + b[/tex]        ∵ (x, y) = (-2, 1) and m = 1

[tex]1 = -2 + b[/tex]

switch sides

[tex]-2+b = 1[/tex]

add 2 to both sides

[tex]-2 + b + 2 = 1 + 2[/tex]

simplify

[tex]b = 3[/tex]

Thus, the y-intercept b of the parallel line is:  b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the  equation of the parallel line

[tex]y = mx + b[/tex]

[tex]y = (1)x + 3[/tex]

[tex]y = x + 3[/tex]

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

[tex]y = x + 3[/tex]

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

The green line represents the equation y = x - 3 The black  line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

Elena finds that the length of a house on a scale drawing is 5 inches. The actual length of the house is 45 feet. What is the scale of the drawing?

Answers

Answer:

81 is the scale of the drawing.

Step-by-step explanation:

81 I think I’m not sure I used a calculator

What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.

Answers

Answer:

A. [tex] 8x\sqrt{5} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]

Required:

Simplify

[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]

[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]

Add like terms

[tex] 8x\sqrt{5} [/tex]

Simplify the expression 2(10) + 2(x-4)

Answers

Answer:

Hello! :) have a good day!

2x + 12

Answer:

First: Multiply the numbers

2 x 10 + 2 (x -4)

20+2(x-4)

Secondly: Distribute

20+2(x-4)=

20 + 2x - 8

Thirdly: Subtract the numbers

20 + 2x - 8=

12 + 2x

Lastly: Rearrange terms

12 + 2x

2x + 12

And that would leave us with our answer 2x + 12!

solve help


3+ x + 4 =

Answers

Answer:

7+x

Step-by-step explanation:

Add 3 and 4

3+4= 7

You can't add x since it's a variable so you just leave it as it is.

Hope this helps!

round 3 2/3 to the nearest whole number ​

Answers

Answer:

3 2/3 can be converted into proper fraction like this

3*3+2←numerator

3 itself ← denominaor

So, we have 11/3

Nearest to 11/3 will be 4


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

The answer to your problem is y=11x

What is A number y divided by 9 is less than or equal to 17?

Answers

Answer:

the answer to what divided by 9 equals 17 is 153. You can prove this by taking 153 and dividing it by 9, and you will see that the answer is 17

describe the graphs of 3x - y = 4 and y = 3x + 2?​

Answers

Answer:

3X-y=4

3x=4+y

3x-4=y

y=3x-4

Step-by-step explanation:

y=3x+2

y-2=3x

3x=y-2

x=y-2/3

I hope this answer help you

I hope this helps with your problems and by the way it’s no solution

Pls help me pls pls pls pls pls pls pls pls pls pls pls pls pls ρꪶ 卩ㄥ丂

1+1

Answers

Answer:

1+1=2

Step-by-step explanation:

if you have 1 apple and then your friend gave you another apple now you have 2 apples

I need help plzzzzzzzzzz

Answers

Answer: The perimeter of the triangle is 33b - 8

Step-by-step explanation:

a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9​

Answers

Answer:

$3

Step-by-step explanation:

45/3=15

15/5=3

someone please help

What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102

Answers

Answer:

A. 3

Step-by-step explanation:

The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.

Our points are (-1,-1) and (1,5):

(5-(-1))/(1-(-1))

6/2

3

The slope of the line shown below is 3.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

Points from the graph (1, 5) and (-1,-1).

So, the slope of line

= (-1 - 5)/ (-1 - 1)

= -6 / (-2)

= 3

Thus, the slope of line is 3.

Learn more about Slope here:

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if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?​

Answers

Answer:

cost of 1 tie = 11

cost of 1 shirt = 52

Step-by-step explanation:

Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh

Answers

Answer:

She scored in the 90th percentile.

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.

This means that [tex]\mu = 725, \sigma = 115[/tex]

She must score better than at least 75% of the students who took the test.

So her z-score should have a pvalue of at least 0.75.

Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?

We have to find the pvalue of Z when X = 874.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{874.5 - 725}{115}[/tex]

[tex]Z = 1.3[/tex]

[tex]Z = 1.3[/tex] has a pvalue of 0.9032

She scored in the 90th percentile.

Will Harriet be admitted?

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

-35 = -3x + 8 + 5x

Can someone please help me with this math problem

Answers

Answer:

22.5 i think

Step-by-step explanation:

-3x + 8 + 5x = - 35

add like terms

2x + 8 = -35

subtract 8 on both sides

2x  = 43

divide by 2

22.5

Answer:

22.5

Step-by-step explanation:

add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help

14) x - 27 0
3
X^3-27=0
X^3-27=0

Answers

Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

Simplify: 7^6 divided 7^2

Answers

Answer:

The answer is 1/3

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

~Hoped this helped~

The answer to your question is “1/3”. Continue learning hope u have a amazing day/night :)

Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)

Answers

Answer:

85.99% of airline passengers incur this fee.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean 46 pounds and standard deviation 3.7 pounds.

This means that [tex]\mu = 46, \sigma = 3.7[/tex]

Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.

As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 46}{3.7}[/tex]

[tex]Z = 1.08[/tex]

[tex]Z = 1.08[/tex] has a pvalue of 0.8599

0.8599*100% = 85.99%

85.99% of airline passengers incur this fee.

What is 2/7+7/8
Help

Answers

Answer:

65/56 = 1  9/56

Step-by-step explanation:

Answer:

Step-by-step explanation:

16/56 + 49/56 = 65/56= 1 9/56

6p² equals to..................​

Answers

Answer:

36p is the correct answer

Find the surface area of the square pyramid shown below.
3
4
units

Pls help ASAP if you can

Answers

Answer:

Step-by-step explanation:

area of a triangular face = 0.5×4×3 = 6 square units

lateral area = area of 4 triangular faces = 4×6 = 24 square units

base area = 4² = 16 square units

total surface area = lateral area + base area = 24+16 = 40 square units

Answer:

40

Step-by-step explanation:

40

Which statement is true about this data set?
3,1, 6, 4, 4, 4, 3, 2, 5, 3

Answers

Answer:

What statements?

Step-by-step explanation:

Is there a list of statements for this question? I would love to help!

Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?

Answers

Answer:

$55.00

Step-by-step explanation:

$6.50 (8) + $3 = $55.00

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