Randy wants to attach a 23 foot string of lights to the top of the 13 foot mast of his sail boat. How far from the base of the mast should he attach the end of the light string?

Answers

Answer 1

Answer:

distance from the base where string is attached = 18.97 feet

Step-by-step explanation:

The diagram attached to this solution gives a right-angled triangle formed by attaching the string to the top of the mast. the distance from the base is calculated as follows:

(hypotenuse)² = (opposite)² + (adjacent)²

23² = 13² + d²

529 = 169 + d²

d² = 529 - 169

d² = 360

d = √(360)

d = 18.97 feet

Randy Wants To Attach A 23 Foot String Of Lights To The Top Of The 13 Foot Mast Of His Sail Boat. How

Related Questions

what is excess reagent​

Answers

Answer:

We are commonly asked to find the extra reactants in a chemical equation. We can find it after balancing the equation and seeing the amount of moles that are present for each substance. Hence in chemistry and thermodynamic reactions it is the extra reactants that are not used up during the combustion process and therefore is excess of a said element.There are also limiting reagent which is the substance that limits the amount that can react and can be produced in a chemical reaction

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The limiting reagent in a chemical reaction is a reactant that is totally consumed when the chemical reaction is completed. The amount of product formed is limited by this reagent, since the reaction cannot continue without it.

why is excess reagent used:

A good way to ensure that one reactant fully reacts is to use an excess of the other reactant. This is financially efficient when one of the reactants is very cheap. When one reactant is in excess, there will always be some left over.

how do you find the excess reagent:

The reactant that produces a lesser amount of product is the limiting reagent. The reactant that produces a larger amount of product is the excess reagent. To find the amount of remaining excess reactant, subtract the mass of excess reagent consumed from the total mass of excess reagent given

which number line shows the solutions to n > 0

Answers

It can be any number from 1 and up. So it’s the first one

The third line shows the solutions to n > 0.

The correct option is third line.

What is a number line?

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

To learn more about the number lines;

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I need help with this question ASAP

Answers

The solution is (4,-6) and it is that point because a solution is the intersection point of the two lines.

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Get Ya free 25

Answers

Answer:

Ok

Step-by-step explanation:

8. You deposit $2000 in an account that
earns 5% annual interest. Find the balance
after 1 year if the interest is compounded
quarterly.
A. $2,100
B. $2,101.89
C. $2,102.32
D. $2,102.49

Answers

Answer: A, $2,100

Step-by-step explanation:

2000x1.05=2,100

If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n

Answers

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Diameter: d = 2rArea of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]:                    30 m = 2rIsolate r:                             15 m = rRewrite:                              r = 15 mSubstitute [AC]:                 A = π(15 m)²Rearrange:                        A = 15²π

Reduce to simplest form.
-5/8+(-8/5)=?

Answers

Answer:

[tex]-2\frac{9}{40}[/tex]

Step-by-step explanation:

[tex]-\frac{5}{8}+(-\frac{8}{5}) = -\frac{25}{40}-\frac{64}{40}[/tex] (find common denominator)

[tex]=-\frac{89}{40}[/tex]

[tex]=-2\frac{9}{40}[/tex] (reduce to simplest form)

Hope this helps :)

Which method could be used to estimate the growth rate of an exponential function from its graph?
-Divide the value of the function at x=3 by the value of the function at x=0, and then take the square root of the result.
-Divide the value of the function at x=2 by the value of the function at x=0, and then square the result.
-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.
-Divide the value of the function at x=0 by the value of the function at x=1, and then subtract the result from 1.

Answers

Answer:

-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.

Step-by-step explanation:

hope this help

pick me as the brainliest dont report me please

Plz help 100 points and brainliest

Answers

The answer
to your problem is 6/9
hope it helps

Answer:

(1/2 divided by 3/4)

Step-by-step explanation:

In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?

Answers

Answer:

70 degrees

Step-by-step explanation:

The measure of all angles in a triangle are 180 always

1. Add 50 + 60 = 110

2. 180 - 110 = 70

Hope that helps dude

the two lines graphed on the coordinate grid each responds an equation witch orderd pairs represents a solution to both equations

Answers

Answer:

Step-by-step explanation:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.

You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.

Look at points C and D on the graph. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. I REALLY NEED IT FAST

Answers

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

What is the slope of AB?

Answers

-2/3 from A you go to the right 3 times which is 3 x and you go down 2 which is -2y

Answer: -2/3

Step-by-step explanation:

If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].

In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.

The formula to find slope is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

(I think, if I memorized it correctly)

Nine people decide to share 2/5 of a pound of popcorn equally. What fraction of the popcorn will
cach person receive?

Answers

Answer: 18/5

Step-by-step explanation: 9/1 • 2/5 = 3.6=18/5

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

Just like you would divide 18 pounds of popcorn by 9 people, you should divide [tex]\frac{2}{5}[/tex] by nine. This will result in [tex]\frac{2}{5}[/tex] x  [tex]\frac{1}{9}[/tex] and that equals [tex]\frac{2}{45}[/tex].

Please mark brainliest. Thanks!!!

NEED HELP ASAP!!!!!!!

Answers

Answer:

x = 45

Step-by-step explanation:

Find the missing angle first, a line is 180 degrees and for the missing angle there's a line cutting it. The outer angle is 170 so the inner angle is 10.

A triangle equals 180 degrees so:

125 + 10 + x = 180

135 + x = 180

subtract 135 from both sides

x = 45

45 the person above is correct

According to one​ source, ​% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of separate airplane​ accidents, of them were due at least in part to pilot error. Complete parts​ (a) and​ (b) below. a. Test the hypothesis that the proportion of airplane accidents due to pilot error is not . Use a significance level of .

Answers

Complete question :

According to one source, 49% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 61 of them were due to at least in part to pilot error. Complete parts (a) and (b) below. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.49. Use a significance level of 0.05.

Determine the null and alternative hypotheses. H0: p Ha: p

Determine the test statistic. Z = (Round to two decimal places as needed.)

Determine the p-value.

Answer:

H0: p = 0.49

Ha: p ≠ 0.49

Zstatistic = 2.45

Pvalue = 0.015

Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49

Step-by-step explanation:

Claim: proportion of airplane accidents due to pilot error is not 0.49

Null and Alternative hypothesis :

H0: p = 0.49

Ha: p ≠ 0.49

Sample size (n) = 100

Number due in part to pilot error = 61

Sample Proportion ph = 61 / 100 = 0.61

Standard Error :

√(p*(1 - p) / n))

√(0.61 * (1 - 0.61) / 100))

√(0. 61 * 0.0039)

= 0.0487749

= 0.049 ( 3 significant figure)

Zstatistic = (ph - p) / SE

Zstatistic = (0.61 - 0.49) / 0.049

Zstatistic = 2.4489795 = 2.45

Using the p value from Z statistic calculator ; α = 0.05, 2 tailed test :

P value = 0.014687 = 0.015

P value < α

0.015 < 0.05

Since the p value is less Than α,

Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49

The name of every student taking Algebra was listed alphabetically and numbered. The teacher uses
an arithmetic sequence to call on students. The numbers of the first 3 students are listed below.
What will be the number of the 25th student chosen?
9,6, 3...

Answers

Answer:

The number will be -63

Step-by-step explanation:

Here, we want to give the number of the chosen 25th student

We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3

Mathematically, we can calculate the nth term using the equation below;

Tn = a + (n-1)d

in this case, n = 25, a = 9 and d = -3

So we have

Tn = 9 + (25-1)-3

Tn = 9 -3(24)

Tn = 9-72

Tn = -63

What is the slope of the line? (Linear equations and slope quiz I-ready)

Answers

Answer: 2

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Slope = Rise / Run = 6 /3 = 2

Therefore, the slope of the line in the graph attached is 2

Learn more :https://brainly.com/question/18405415

A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]

Answers

Answer:

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Step-by-step explanation:

Proportions

The hybrid car can travel 40 miles per gallon.

Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.

Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

PLEASE HELP ME!! IM TAKING A FINAL AND HATE THESE TYPE OF QUESTIONS!! PLS HELP.

Answers

Answer:

B.

Step-by-step explanation:

Answer:

the answer is A because none of the x-values or y-values repeat

Step-by-step explanation:

ALERT NEED HELP PLEASE ASAP ​

Answers

Because to find the equation of the line is difference in x/difference in y. It’d be:

-3/2 = -1.5
And the line crosses at the y-intercept at 1 so the answer would be:
y = -1.5x +1

Help I can’t fail plz help

Answers

1 . Joshua
2 . 1/2
3 . 3/2

Please help me I’m so behind and I’m going to fail if I can’t get this answer. I need 15 but can someone also do 14.

Answers

It’s d hope that helps

Answer:

its d 100%

Step-by-step explanation:

A watch decreased in price by
5/6. After the reduction it was priced at £11. What was the original price of the watch?

Answers

Answer:

66

Step-by-step explanation:

what is the radius of x?​

Answers

Answer:

To get the radius, divide the diameter by 2.

Answer:

to get the radius you have to divided the diameter by 2

Step-by-step explanation:

What is the solution to the system of equations below?
y=-x+6 and y-x-6

O no solution
O infinitely many solutions
O (-18, 12)
O (18, 0)

Answers

Answer:

O (-18, 12)

Step-by-step explanation:

brainiest plz

If P=(-3,5) and Q=(1,9), find the midpoint of the segment PQ

Answers

Answer:

[tex](-1,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point P(-3, 5)

Point Q(1, 9)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute {MF]:                    [tex](\frac{-3+1}{2},\frac{5+9}{2})[/tex]Add:                                      [tex](\frac{-2}{2},\frac{14}{2})[/tex]Divide:                                  [tex](-1,7)[/tex]

One week, Ethan earned $391.00 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $102.00?

Answers

Answer:

6 hrs.

Step-by-step explanation:

So 391.00 can just be converted to 391 because they mean the same thing, so since we have $391 for 23 hrs, we can divde those, which gives us 17, this answer would show that Ethan earns $17 a hour, so if we divide how much he earns by the hour by how much money he could earn by next week ( 102/17), that would give us 6, Therefore, Ethan would need to work 6 hours for $102.00

Did i do it correctly? if no please give the explanation and answer! :):):)

Answers

Answer:

yeah man good job im proud

Step-by-step explanation:

Answer:

You did a very good jod

Step-by-step explanation:

Hope this helped have an amazing day!

Jeremiah's retirement party will cost $16 if he invites 4 guests. What is the maximum number of guests there can be if Jeremiah can afford to spend a total of $20 on his retirement party? Solve using unit rates.

Answers

Answer:

5 guests

Step-by-step explanation:

Jeremiah party will chat $16 if he invites 4 guest

The first step is to calculate how much it will cost to feed one guest

$4 = 16 guests

1 guest= 16/4

1 guest = $4

Therefore if Jeremiah can afford to spend $20 then the maximum number of people that will be present can be calculated as

$4 = 1 guest

$20= 20/4

= 5 guests

Hence the maximum number of guest is 5 guests

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