) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.

(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________

Answers

Answer 1

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

Height of ravine = 100 feet.

How to calculate the length of rope.

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552


Related Questions

14.01 or 13 or 10 or 107 or 15 or 20 or 14

Answers

Answer:

14.01 and 107

Step-by-step explanation:

First let’s review what all the crodile mouths mean:

< = # is less than the # on the right

> = # is more than the # on the right

≤ = # less than or equal to # on the right

≥ = # is greater than or equal to # on right


Equation:

y ≥ 14

To make this true on the values that are greater than or equal to 14 can go.

This means that these values would be correct out of the options:

14.01

107

Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.

What is the value of x to the nearest degree?

Answers

Answer:

The answer is 68°

Step-by-step explanation:

Recall that tan ∅° = [tex]\frac{Opposite}{Adjacent}[/tex] for a right triangle.

The value opposite to your angle is 5, and the value that is adjacent to it is 2.

In order to solve for the degree, you use tan^-1([tex]\frac{5}{2}[/tex]) on your calculator.

This gives a value of 68.19459, rounded to just 68.

Someone help with this i beg!

Answers

hello!

[tex]==================================[/tex]

the rule for the first sequence is "add 1"

so we add 1 in order to get to the next term.

the rule for the next sequence is "add 5"

here, we add 5 in order to get to the next term.

the rule for the next sequence is "subtract 2"

in this sequence, we subtract 2 every time.

the rule for the next sequence is "add 7"

so we add 7 (13+7 does equal 20):)

the rule for the fifth sequence is "multiply by 2"

so this is a geometric sequence, because we use multiplication in order to get to the next term.

the rule for the sixth sequence is "subtract 6"

- we subtract 6 each time :)

the rule for the 7th sequence is "add 2"

the rule for the 8th sequence is "subtract 3"

the rule for the 9th sequence is "multiply by 7"

[tex]\rule{200}{2}~\rule{100}{2}[/tex]

Let's write down the next 2 terms for each sequence.

(the terms are highlighted in bold)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

4, 9, 14, 19, 24, 29, 34, 39

32, 30, 28, 26, 24, 22, 20, 18

6, 13, 20, 27, 34, 41, 48, 55

3, 6, 12, 24, 48, 96, 192, 384

36, 30, 24, 18, 12, 6, 0, -6

-13, -11, -9, -7, -5, -3, -1

48, 45, 42, 39, 36, 33, 30

1, 7, 49, 343, 2401, 16807, 117649

[tex]\rule{200}{2}[/tex]

note:-Hope everything is clear; if you need any more explanation, kindly ask me; I will comment and/or edit my answer.

Barry earns $1300 a month. He spends 30% of this money on rent and 2/7 on bills. How much of the $1300 does he have left?

Answers

Answer:

It should be $538 left after the bills

In this figure, ∠1 and ∠2 are located on a line.

Let m∠1=x° and m∠2=(45x)°.

What is the value of x?

Enter your answer in the box.

Answers

Answer:

Your answer would be 100

Step-by-step explanation:

4/5 of 100 is 80, 100 and 80 add up to 180, which makes it a supplementary angle, we know it is a supplementary angle because the figure has a line, so x = 100

The accompanying table shows the number of bacteria present in a certain culture

over a 5 hour period, where x is the time, in hours, and y is the number of

bacteria. Write an exponential regression equation for this set of data, rounding all

coefficients to the nearest hundredth. Using this equation, determine the number o

bacteria present after 13 hours, to the nearest whole number.

Hours (x) Bacteria (y)

0 1892

1

2106

2

2

2342

3

2525

4

2819

4

5

5

3042

Answers

The general form of the exponential regression equation that models the number of bacteria  is y = ab^x

The exponential regression equation is y = 1910.38 * 1.1^x

How to determine the exponential regression equation?

The dataset is given as:

x     y

0    1892

1     2106

2    2342

3    2525

4    2819

5    3042

To determine the exponential regression equation, we make use of a graphing calculator.

From the graphing calculator, we have the following calculation summary

a = 1910.38

b = 1.10

An exponential regression equation is represented as:

y = ab^x

So, we have:

y = 1910.38 * 1.1^x

Hence, the exponential regression equation is y = 1910.38 * 1.1^x

Read more about regression equations at:

https://brainly.com/question/732489

The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 7,200 square meters. What is the perimeter of the​ track? Use 3.14 for Pi

Answers

Answer:

The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).

To find the circumference of the circle, we need to know the diameter.

Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius

The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.

Width: area divided by length

14400160=90

The diameter of the circle and the width of the rectangle is 90 meters.

Circumference:

90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90

Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.

160⋅2=320

The perimeter of the​ track is 548.4 meters.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Given that, the area of the rectangle is 7,200 square meters.

From the figure, length of a rectangle = 120 meter

Here, area of rectangle = Length×Width

120×Width=7200

Width = 60 meter

So, diameter of semicircle is 60 meter.

Radius = 30 meter

Perimeter of track = Perimeter of rectangle + Circumference of two semicircle

= 2(120+60)+2πr

= 360+2×3.14×30

= 360+188.4

= 548.4 meters

Therefore, the perimeter of the​ track is 548.4 meters.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ3

A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the minimum number of cans of paint needed to cover the outside of the tank

Answers

Answer:

12 cans

Step-by-step explanation:

The area of the outside of the tank:

radio = half diameter = 4.5 ft.

base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]

Top: = base [tex]=20.25\pi[/tex]

cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]

Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]

Number of cans of paint:

[tex]c=\frac{579.6}{50} =11.59=12[/tex]

Hope this helps

Suppose you bought 20 tickets in a drawing for a color television. There were 300 tickets sold in the drawing,

a. What is the probability that you win the color television?

b. What are the odds in favor of you winning the television?

c. What are the odds against you winning the television?

Answers

1/15 is your probability

Can someone please help??? I can’t figure this out. Pleaseeee

Answers

Answer:

120°=1

Step-by-step explanation:

step 1 do 2/1

step 2 cut braket and ans will be 53

Which expression is equivalent to x + 11?
11 x
11 + x
11 - x
- x + 11

Answers

Answer:

11 + x

Step-by-step explanation:

x + 11 can be reversed as 11 + x and it would still mean the same thing.

11x means 11 * x so does not match

11 + x and x + 11 same this is correct answer tho

last two are also same  11 - x  and -x +11

What is the run of a 50% slope with a rise of 50 feet?
a

Answers

Answer: 25

Step-by-step explanation: because 50% of 50 is 25

Fill in the table using this function rule y=4x+1

Answers

Answer:

1. -7

2. 1

3. 9

4. 17

Step-by-step explanation:

y = 4x + 1

1. y = 4 (-2) + 1

  y = -8 + 1

   y = -7

2. y = 4(0) + 1

    y = 1

3. y = 4 (2) + 1

   y = 8 + 1

   y = 9

4. y = 4 (4) + 1

   y = 16 + 1

   y = 17

I hope this helps!

Using function rule, we get,

1. -7

2. 1

3. 9

4. 17

**Given Equation:** y = 4x + 1

1. For x = -2:

  - Substitute x = -2 into the equation: y = 4 (-2) + 1

  - Calculate: y = -8 + 1

  - Result: y = -7

2. For x = 0:

  - Substitute x = 0 into the equation: y = 4(0) + 1

  - Calculate: y = 1

  - Result: y = 1

3. For x = 2:

  - Substitute x = 2 into the equation: y = 4 (2) + 1

  - Calculate: y = 8 + 1

  - Result: y = 9

4. For x = 4:

  - Substitute x = 4 into the equation: y = 4 (4) + 1

  - Calculate: y = 16 + 1

  - Result: y = 17

To know more about function rule,

https://brainly.com/question/10705186

#SPJ3

What is the slope of the line that has equation. y -4.33=1.67(x+7.95)

Answers

The slope of the line is 1.

factorise fully 4x squared + x cubed pls

Answers

You would factor x^2 out of 4x^2+x^3 which would give you an answer of x^2(4+x)

The value of the equation is A = x² ( 4 + x )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 4x squared + x cubed

Substituting the values in the equation , we get

A = 4x² + x³   be equation (1)

On simplifying the equation , we get

Taking the common factor as x² in the equation , we get

A = x² ( 4 + x )

Therefore , the value of A is x² ( 4 + x )

Hence , the factorized equation is x² ( 4 + x )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Find the area of triangle

Answers

Answer:

Step-by-step explanation:

A = 1/2 bh = 1/2 (12)(17) = 204 square inches

In a search engine, 40 000 searches are done every
minute.
How many searches are done in an hour?
Write your answer in standard index form.

Answers

Answer:

The answer is 2.4 x 10^6

Step-by-step explanation:

You're going to multiply 40,000 by 60

40,000*60=2400000

Therefore the answer in standard index form will be 2.4 x 10^6

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2

Answers

Answer:

  3 tents hold 2 campers

Step-by-step explanation:

The given relations can be expressed as a single equation in the number of 2-camper tents.

__

Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...

  2x +4(6 -x) = 18

  -2x +24 = 18

  -2x = -6 . . . . . . subtract 24

  x = 3 . . . . . . . divide by -2

Exactly 3 tents hold 2 campers.

_____

Additional comment

The other 3 tents hold 4 campers.

Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.

Victor is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a red fabric.

How much fabric does Victor need in order to cover 12 of these blocks?


156 cm²

24 cm²

13 cm²

2 cm²

Answers

Answer:

  (a)  156 cm²

Step-by-step explanation:

The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...

  A = 2(LW +H(L +W))

  A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²

The area of 12 such prisms will be ...

  12 × (13 cm²) = 156 cm²

Victor needs 156 cm² of fabric to cover 12 blocks.

_____

Additional comment

This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².

Answer:

156 cm² for K12

!!!!!PLEASE HELP!!!!!
Over which interval of the domain is function m negative?
Y
10
8-
6-

4
+
2-
X
1-10 -8
-6
-4
4
6
8
10
-2 1012
-2
-4-
-6
-8-
-10-
O A. (6, )
O B. (0, )

Answers

Answer:

The answer would be A. (6, infinity)

Step-by-step explanation:

Domain is the x values in an equation, and range is the y values. From my understanding, the question is asking what domain range is the range, or y value, negative. The equation has an x intercept of 6, and it goes to the right for infinity. At x=7, y is -1/2.

I hope this helps!

Which ratio is not equivalent to 3/5 ?
A. 15/20
B.6/8
C.30/50
D.12/20

Answers

Answer:

A & B

Step-by-step explanation:

15/20 is not equal

6/8 is not equal

30/50 is equal

12/20 is equal

Hey there!


3/5

= 3 ÷ 5

= 0.60

= 60%

• So, we’re looking for something that’s equivalent to 0.60 or 60%

Option A.
15/20

= 15 ÷ 20

= 15 ÷ 5 / 20 ÷ 5

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%
So, Option A. could possibly be your equivalent to your fraction


Option B.
6/8

= 6 ÷ 8

= 6 ÷ 2 / 8 ÷ 2

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
So, Option B. isn’t equivalent because it’s too big and not what we’re looking for!


Option C.
30/50

= 30 ÷ 50

= 30 ÷ 5 / 50 ÷ 5

= 6 / 10

= 6 ÷ 2 / 10 ÷ 2

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%
So, Option C. could possibly be your equivalent to your fraction.

Option D.

12/20

= 12 ÷ 20

= 12 ÷ 2 / 20 ÷ 2

= 6 / 10

= 6 ÷ 2 / 10 ÷ 2

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%

So, Option D. could possibly be your equivalent to your fraction.

To sum it all up, your answer is:

Option B. 6/8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Find the missing coordinate.
x = cos t
y = sin t
(-1, [?])

Answers

You can base this on the unit circle. When x or cos is -1 on the unit circle, y or sin is 0. Since there are no factors changing sine or cosine, they have to be on the unit circle, so we know that sin has to be the 0 corresponding with cos=-1.

Whoever answers first gets 30 points plus brainliest

how many months are there in 7 years???

good luck ;)

Answers

Answer:

84

Step-by-step explanation:

1 year= 12 months

7 years × 12 months each= 84 months in total for 4 years

evaluate the expression when x = 2 x^2 + 8x – 6​

Answers

Answer:

x =(7-√97)/-4= 0.712

Or

x =(7+√97)/-4=-4.212

What is the measure of the missing angle?

39 faren height plus 33 plus an unknown number to equal 180

Answers

Answer:

108

Step-by-step explanation:

39 + 33 + x = 180

To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.

39 + 33 = 72

180 - 72 = 108

Therefore, our answer is 108 degrees.

I hope this helps! Have a lovely day!! :)

What is the range of the function y = e superscript 4 x y less-than 0 y greater-than 0 y less-than 4 y greater-than 4

Answers

The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

It is given that the function [tex]\rm y= e^4^x[/tex]

It is required to find the range of a function [tex]\rm y= e^4^x[/tex]

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm y= e^4^x[/tex]

If we plot a graph of [tex]\rm y= e^4^x[/tex]:

When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1

When x = 1 then  [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598  and so on.

The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.

Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

Learn more about the function here:

brainly.com/question/5245372

Answer:

B, all real numbers less than 0

Step-by-step explanation:

edge 2022

Element X decays radioactively with a half life of 7 minutes. If there are 980 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?

Answers

Answer:

32.3m

Step-by-step explanation:

Use equation A = Ao(0.5)^(t/t½)

Now input values: 40 = 980(0.5)^(t/7)

rearrange for t: t = [7ln(2/49)]/ / ln(0.5). Then from here, you can extract 32.3 as your answer

Answer:

t = 32.3 min

Step-by-step explanation:

This is an example of half-life exponential decay.

For situations like this we have a formula.

[tex]N = N_{0} * (\frac{1}{2})^n[/tex]

N represents the end amount of parent element, N (naught) represents the starting amount of the parent element, and n being the amount half-lifes that have occurred.

Now n, can be broken down further into t/p, which means the time elapsed (t) divided by time it takes for one decay period (p), which essentially gives you the amount of half-lifes that have occurred. So you can represent the formula as:

[tex]N = N_{0} * (\frac{1}{2})^{t/p}[/tex]

The question tells you you start off with 980 grams of Element x, so put that for N naught. [tex]N = 980g * (\frac{1}{2})^{t/p}[/tex]. Then it tells you half-life is 7 minutes, which means the period it takes for one half-life to occur is 7, which is p. [tex]N = 980g * (\frac{1}{2})^{t/7min}[/tex]. You are also told that you end up with 40 grams, so put that in for N. [tex]40g = 980g * (\frac{1}{2})^{t/7min}[/tex]. Now we solve for t, the time elapsed.

(This is the part where you use logs to solve, but if you are still rough on this, I'll walk you through it)

Start off by dividing on both sides.

[tex]\frac{40g}{980g} = (\frac{1}{2})^{t/7min} \\, \frac{2}{49} = (\frac{1}{2})^{t/7min}[/tex]

Take the log of both sides.

[tex]log(\frac{2}{49}) = log( (\frac{1}{2})^{t/7min})[/tex]

Now we gotta get t out of the exponent, we'll do this by using log laws. More specifically the exponent law for log laws which states. [tex]log(b^x) = x*log(b)[/tex]. If we apply that to our situation like so.. [tex]log((\frac{1}{2})^{t/7min}) = \frac{t}{7min} * log(\frac{1}{2})[/tex]

Now our whole equation now looks like this:

[tex]log(\frac{2}{49}) = \frac{t}{7min} * log( \frac{1}{2})[/tex]

keep simplifying,

[tex]\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = \frac{t}{7min}[/tex]

[tex]7min *\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = t\\\\t = 32.3min \\[/tex]

Now you have your answer!

What is the area of the figure?

Answers

Answer:

88

Step-by-step explanation:

We can divide this into 3 shapes, a square, rectangle, and triangle.

Let's solve the area of each of these shapes and add them all up.

First, let's solve the square.

We know that one side is 4 ft so that means that the other side is also 4ft.

4*4=16

Our area of the square is 16ft^2

Let's solve the rectangle next,

Its length is 12ft and its width is 4ft.

12*4=48

So the rectangle area is 48ft^2

Now for the triangle

Remember that area of a triangle is a=hb/2

Our height is 12 ft and our base is 4ft

12*4=48

48/2=24

Triangle is 24ft^2

That means that we can add them all up

24+48+16=88

88ft^2 or 88

There are 210 counters in a bag.30 percent of these counters are red.Work out the number of red counters in the bag

Answers

Answer:

63

Step-by-step explanation:

30 percent * 210 =

(30:100)* 210 =

(30* 210):100 =

6300:100 = 63

Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication

Answers

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

Find out more on equation at: https://brainly.com/question/2972832

Other Questions
I need help on this question Im confused I think a &b are the same and c &d are different but Im not to sure ! Suppose we want to choose 7 letters, without replacement, from 12 distinct letters. (a) How many ways can this be done, if the order of the choices is not relevant? Use Demos Graphing CalculatorRob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercisinghorses and $10 an hour cleaning stalls. Because Rob is a full-time student, he canwork no more than 12 hours per week. However, he must make at least $60 perweek.Which of the following is a possible solution for this system of inequalities?A. 1 hour exercising and 1 hour cleaning B. Two hours exercising and five hours of cleaningC. Seven hours of exercising and eight hours of cleaningD. Two hours exercising and eight hours cleaning Which effect did World War II have on the United States?a) The United States became the richest, most powerful nation in the world.b) The war caused the United States to enter another severe depression.c) The war had little effect on the United States.d) The United States became second in power only to England. A 60-g sample of radioactive isotope is measured after two half-lives have passed. What pair of percentages describes the sample after two half-lives?. dont use me for points please i need help, (circuits for physics) The grandma of a 6-year-old is asking them 2x3 what is 2x3 Why do I feel empty and numb on the inside HELPPPP!!!! what did the u.s. do to japan to end the war? was it moral or immoral? Jayden is researching edible plants and wants to learn more about the ways in which people can eat parts of the Spanish needle plant. Which is the most effective research question to accomplish this purpose Can the GCF of a pair of numbers ever equal one of the numbers? Explain how you know What did the Lord Jesus Christ say about the Scriptures in John 10:35? Use complete sentences. Write the word that has double r's and double s's.please help asap Aaron has $25 to spend at the carnival. Admission is $4.00 and the ride tickets are $1.25 each. What is the maximum number of ride tickets that Aaron can buy? Write and solve the inequality. Question 23 of 25Which ending would most likely disappoint a reader?A. An ending that surprises the readerO B. An ending the reader could easily predictO C. An ending that leaves some questions openO D. An ending with an unexpected twistI couldnt find this Why is the writing of compare-and-contrast essays a valuable way to study? Round the mmHg readings to the nearest whole number. Round the kPa readings to the nearest tenth. Round the atm readings to the nearest hundredth. Convert a pressure of 2.76324 kPa to _____ torr Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets marked down. During the sale, rashguards sell for $5 less than full price. Miguel purchases 3 rashguards and pays a total of $60.Which equation can you use to find how much money, f, each rashguard costs at full price?How much does each rashguard cost at full price? How does global civil society work The ______ are a series of fibrous connective tissue membranes covering the central nervous system.