Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the base of the ladder must be at least 1.5 feet from the base of the house. how far is it from the top of the ladder to the edge of the roof? draw a sketch.

Answers

Answer 1
Using the Pythagorean theorum we can solve this v a^2+b^2= c^2. A is the distance from base of house to ladder A= 1.5, c ifls length of ladder, c= 10. (1.5)^2 + ;b^2 = (10)^2. Solve for b. B= 9.88. 12 foot height of house - 9.88 feet to top of angled ladder = 2.11 from top of ladder to edge of roof

Related Questions

A scientist has a 120 mg sample of an unstable isotope. The amount of the substance remaining in the sample decreases at a rate of 16% each day. At the end of t days, there is less than 30 mg of the substance remaining. Which inequality represents this situation, and after how many days will the sample size remaining be less than 30 mg?

Answers

after each day there is 1 - 0.16  = 0.84 of the substance left
The inequality is 120*0.84^t  < 30

120*0.84^t < 30
0.84^t  < 30/120  < 0.25
t * ln 0.84 <  ln 0.25
t <  ln 0.25 / ln 0.84
t <  7.95
Answer =  8 days

Answer:

Step-by-step explanation:

Got it correct on Edmentum

The measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degree the measure of the exterior angle at one base angle of an isosceles triangle is 125 degrees. what is the measure of the vertex angle in degrees

Answers

Final answer:

To find the measure of the vertex angle in an isosceles triangle, subtract the measure of one of the exterior angles from 180, divide that sum by 2 to find the measure of each base angle, and then subtract one base angle from 180 to find the measure of the vertex angle. In this case, the measure of the vertex angle is 152.5 degrees.

Explanation:

To find the measure of the vertex angle in an isosceles triangle, we can use the fact that the sum of the measures of the interior angles of a triangle is 180 degrees. Since we know that the measure of one of the exterior angles is 125 degrees, we can subtract that from 180 to find the sum of the measures of the other two interior angles. Then, we can divide that sum by 2 to find the measure of each of the base angles. Finally, we subtract the measure of one base angle from 180 to find the measure of the vertex angle.

Let's follow these steps:

Sum of the measures of the other two interior angles = 180 - 125 = 55 degrees

Measure of each base angle = 55 / 2 = 27.5 degrees

Measure of vertex angle = 180 - 27.5 = 152.5 degrees

Therefore, the measure of the vertex angle in this isosceles triangle is 152.5 degrees.

Jackie has cheering practice on Thursday and Friday if it doesn't rain. Thursday there is a 20% chance of rain and Friday there is a 40% chance of rain. What percent chance is there that it will rain on both Thursday and Friday?

Answers

There is a 20% (or 20/100chance) it will rain on Thursday and there is a 40% (or 40/100) chance it will rain on Friday. In order to find out the probability of it raining both days, we need to multiply these two values. (40/100)(20/100)= 800/10,000= 0.08. We move the decimal over two places to get a percent, so we get an 8% chance it will rain on both Thursday and Friday.

Is writing a 3 before a square root symbol the same as writing it after a square root symbol?

Answers

This depends as to whether you are just multiplying the square root by 3, or are doing a cube root function. In a cube root, the 3 would be located just at the bent part of the square root symbol, usually in a smaller font. If one just wanted to multiply a square root by 3, it does not matter whether or not the 3 comes before or after the root. 

A cube root is equal to a value to the power of (1/3).

I hope this helps
Final answer:

No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol.

Explanation:

No, writing a 3 before a square root symbol is not the same as writing it after a square root symbol. Placing a number before the square root symbol indicates that the number is being multiplied by the square root. For example, 3√x means that the square root is being multiplied by 3. On the other hand, placing a number after the square root symbol indicates that the square root is being taken of that number. For example, √3 means the square root of 3.

Learn more about Square Roots here:

https://brainly.com/question/1387049

#SPJ12

A painter is paid 11 dollars per hour and can paint 8 m^2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. it takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. you must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. how much money do you save by using the spray gun on a paint job that involves painting 40 m^2.

Answers

Painter cost when he use the roller.
40:8=5 hours for painting 40 m²
5+1/2 =5 1/2 where 1/2 is time needed for clean upthe roller
total cost is
(5 1/2)*11=55+11/2=60.5 dollars

Painter cost when he use spray gun
40:20=2 hours for painting 40 m²
2+1=3 time with the time needed for clean up the spray gun
total cost is
3*11+5*3=33+15=48 dollars

60.5-48=12.5 dollars

You save is 12 dollars 50 cents

$12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A painter is paid  per hour: 11 dollars

Paint with a roller in this time: 8 m²

it takes 1/2 an hour for the painter to clean up after using the roller,

Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m² per hour with the spray gun.

it takes one hour for the painter to clean up after using the Spray.

We have to calculate how much we have to pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. and how much the  spray gun on a paint job that involves painting 40 m^2.

Roller

40m²/8m²=5 hrs

5hr to paint with roller.

Total time =5+0.5=5.5hrs

Amount paid=5.5×11=$60.5

40m²/20m²=2 hrs

2 hr to paint with roller.

Total time 2+1=3hr

Amount 3×11+5(3)=$33+15=$48

The saving by using the spray gun on a paint job that involves painting 40 m².

60.5-48=$12.5

Hence $12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is odd---what is my number?

Answers

List out all of the factors to 32.
1, 2, 4, 8, 16, 32

From the list, we either have 4 or 16 as our number.
Prime factorisation for 4 is 2 x 2 and prime factorisation for 16 is 2 x 2 x 2 x 2
Thus, that doesn't help our case.

Looking at our requirement: the sum of its digits is odd.
Well, 4 can be rewritten as 0 4 and its sum is even.
The sum for 1 + 6 is obviously odd, which means that 16 is the number.

The sum of a number and its reciprocal is 13/6. find the number

Answers

[tex]x + \frac{1}{x} = \frac{13}{6} \text{, x} \neq 0[/tex]
[tex]x^{2} - \frac{13}{6}x + 1 = 0[/tex]
[tex]6x^{2} - 13x + 6 = 0[/tex]
[tex]6x^{2} -9x - 4x + 6 = 0[/tex]
[tex]3x(2x - 3) - 2(2x - 3) = 0[/tex]
[tex](3x - 2)(2x - 3) = 0[/tex]

So, the numbers are: 3/2 and 2/3

What's the sum of 2⁄5 and 2⁄4?

Answers

convert to /20 first

2/5=8/20
2/4=10/20

sum is 8/20+10/20=18/20 = 9/10
For finding the sum of [tex] \frac{2}{5} and \frac{2}{4} [/tex]
You need to have the same denominator in order to add
The least common multiple of 4 and 5 is 20
[tex] \frac{2}{5} [/tex] multiplied by 4 on the numerator and the denominator
[tex] \frac{2}{4} [/tex] multiplied by 5 on the numerator and the denominator
Giving us:
[tex] \frac{8}{20} [/tex] + [tex] \frac{10}{20} [/tex]
= [tex] \frac{18}{20} [/tex]
It can further be simplified into:
[tex] \frac{9}{10} [/tex]

Which statement is needed to fill in the blank in this syllogism?

If a polygon is a rectangle, then ____________________.
If a polygon has four sides, then it is a quadrilateral.
Therefore, if a polygon is a rectangle, then it is a quadrilateral.

a polygon has four sides

Not enough information.

a polygon is a quadrilateral

a polygon is a rectangle

Answers

a.......hope this helps

Okay google how many pennies are in $25,000

Answers

there are 2,500,000 pennies in $25,000

There are $25,00,000 pennies in $25,000.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The number is,

⇒ $25,000

Now,

Since, 1 dollar = 100 pennies

Hence, 25,000 dollar = 25,000 × 100 pennies

                                  = 25,00,000 pennies

Thus, There are $25,00,000 pennies in $25,000

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ5

HELP WILLMARK BRAINLIEST.!!!!

Answers

The answer is A i'm positive I used my caculater

The perimeter of the isosceles ABC with the base BC is equal to 40 cm. Perimeter of the equalateral BCD is 45 cm. Find AB and BC

Answers

I'm not totally sure, but just doing it in my head:
BC = 15 cm
AB = 12.5 cm

and it's spelled "equilateral" for future reference :)

Sorry, here's the explanation:

So, start with triangle ABC. You know that an isosceles triangle has a base, and two equal sides. This means that once you subtract the side BC from the perimeter, you have the length of the other two equal sides combined meaning that if you divide that by 2, you will have the length of one of the equal sides, AB for example. Moving to the equilateral triangle, BCD. You know that with equilateral triangles, all sides are equal. The perimeter is 45, and because equilateral triangles have 3 equal sides, you divide 45 by 3, getting 15. Here it might help to draw a picture, but BC is one of the sides of your equilateral triangle meaning that BC is equal to 15. Then you move back to ABC. Remember what we said before, that once you subtract BC from ABC you get the sum of the other two equal sides. So, 40 - 15 is 25. Then, because there are two equal sides, you divide 25 by 2, getting 12.5 and that's the length of your other two side, AB and AC. 

a computer code is based on the prime factorization of 160. Find the prime factorization of 160

Answers

you're finding all the prime numbers that equal 160:

Answer:

[tex]2\times 2\times 2\times 2\times 2\times 5[/tex]

Step-by-step explanation:

We have been given that a computer code is based on the prime factorization of 160. We are asked to find prime factorization of 160.

We know that prime factorization of a number is writing the prime factors of a number such that their product gives the original number.

To find prime factors of 160, we will divide 160 by 2 for 5 times and then divide by 5.

Prime factorization of 160: [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].

Therefore, the prime factorization of 160 is [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].


Jaimi receives a $50.00 gift card to a local café. Her favorite drink at the café costs $3.75. If Jaimi buys her favorite drink every day, which algebraic expression can be used to represent the value on the gift card after d days?

Answers

50 - 3.75d would be the algebraic expression

Help please practical math

Answers

Greetings!

The second option would be correct as the sales in January and June were both at $240,000, based of the graph. 

Hope this helps.
-Benjamin

(6.03) How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)

Answers

Answer:

four is not correct  i don't have the answer just don't want you to get it wrong

Step-by-step explanation:

A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?

The domain is all real numbers from negative 1,200 to positive 2,000
The domain is all integers from negative 1,200 to positive 2,000.
The domain is the integers from 0 to 500.
The domain is all real numbers from 0 to 500.

Answers

The domain is the integers from 0 to 500 because the tickets will be purchased by people and because the seats are limited to 500.  Also, you cannot sell a negative amount of tickets.

Answer:

The domain is the integers from 0 to 500.


Step-by-step explanation:

It is given in the problem "...function that shows the profit as a function of the number of tickets sold"


Here, the independent variable is the number of tickets


Since the auditorium has 500 seats, we can sell a maximum of 500 tickets and a minimum of 0 tickets. There cannot be fractional person, so the domain of the function is all integers from 0 to 500.

Which is an equation in point-slope form for the given point and slope? point: (2,- 6) -3/4 openstudy?

Answers

Point-slope form : y-y₁=m(x-x₁) ; Where m=slope

Passes through (2, -6) ; Slope = -3/4

Simply plug everything in :)

y - (-6) = -3/4(x - (-6))

Simplify.

y + 6 = -3/4(x + 6)

~Hope I helped!~

Your company purchased 23 computers for $29,803.86. How much will it cost to buy 15 more of the same computer?

Answers

29,803.86 / 23 = 1295.82 per computer

so 15 more computers would cost : 1295.82 * 15 = 19437.30 <==
It will cost $19,437.3 to buy 15 more.

a scale drawing of a patio is shown (15 in by 14 in.). the scale is 4 inches : 6.8 feet. what are the length and width of the patio? find the patio's area.

Answers

The ratio, once you find the number of feet to 1 inch, is 1:1.7
To get your answer, multiply 1.7 by both 15 and 14 to get your answer, which is 25.5 by 23.8 ft.

What are the slope and the y-intercept of the line T=14N+40

Answers

notice, the equation is already in slope-intercept form

[tex]\bf T=\stackrel{slope}{14}N\stackrel{y-intercept}{+40}[/tex]

Final answer:

The slope of the line represented by T=14N+40 is 14, and the y-intercept is 40.

Explanation:

The equation T=14N+40 is in the form y=ax+b, where a represents the slope and b represents the y-intercept. In this equation, 14 is the coefficient of N (which takes the role of x in the general form), indicating that the slope of the line is 14. The constant term is 40, indicating that the y-intercept is 40.

40 POINTS!!!!! A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now at 650 feet below sea level, what is its maximum depth? Show your work.

Answers

Answer:

The maximum is 780.

Step-by-step explanation:

1/6x+2/3x=650

Which is: 1/6x+4/6x=650

5/6x=650

5/6x÷5/6=650÷5/6

x=650 × 6/5

x= 780

The maximum depth the submarine descends to is; 780 ft

Let the maximum depth be x.

It descends to 1/6 of max depth = (1/6)x

It descends another 2/3 of max depth = (2/3)x

After descending the depths above, it is now 650 ft below sea level. Thus;

(1/6)x + (2/3)x = 650

x(1/6 + ⅔) = 650

x(5/6) = 650

x = 6 × 650/5

x = 780 ft

In conclusion, the maximum depth is 780 ft.

Read more about depth below sea level at; https://brainly.com/question/25823081

Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download?

Answers

Since the amount of media files (amount of song files+amount of video files=x+y) has to be greater than or equal to 10, we have x+y≥10. Next, since each song adds 3.5MB and each video takes 7MB of space, 3.5x+7y is the total amount of MB used and must be, in total, less than or equal to 50 MB, which can be represented as 3.5x+7y≤50. 
x+y≥10.
3.5x+7y≤50




A rhombus has a side length of 6 units what is it’s perimeter

Answers

24 units would be your answer

what is 71/50 as a percentage

Answers

71 / 50 = 142% as a percent

The ________ is another term for the variance of the sample data. mean square between mean square total mean square within total sum of squares

Answers

Is the mean square total.
Final answer:

The term 'mean square within' (MSwithin) refers to the sample variance in a set of data, which is computed by dividing the sum of squares within (SSwithin) by its degrees of freedom. This term is used in ANOVA to estimate how much variation within the sample data is due to chance.

Explanation:

The term mean square within (MSwithin) is another term for the variance of the sample data. MSwithin represents the variance within groups.

To calculate this variance, the sum of squares within (SSwithin), which represents the variation within samples that is due to chance, is divided by its respective degrees of freedom.

The variance is a measure of how much the data points in a sample differ from the sample mean.

Variance is calculated by taking the mean of the squared deviations from the mean.

This calculation is often used to determine how spread out the values in a data set are.

In the context of an analysis of variance (ANOVA), the MSwithin is used in conjunction with mean square between (MSbetween), which represents the variance between groups, to calculate the F ratio used for testing the null hypothesis.

The square playground has an area of 829 square feet. a fence must be built around the entire playground. what is the length of one side of the playground? answers

Answers

829/4 = 207.25. Because it is a square, all the sides will be the same length

The sales tax for an item was $7.40 and it cost $370 before tax. find the sales tax rate. write your answer as a percentage.

Answers

The sales tax for an item was $7.40 and it cost $370 before tax. find the sales tax rate. write your answer as a percentage.

2.3%

The sales tax rate is 2%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that, the cost of the item is $370.

Sales tax of item is $7.40.

Let the sales tax is m%.

To find the sales tax in percentage:

Use percentage formula;

7.40 = m x 370 / 100

m = 7.40 x 100 / 370

m = 740 / 370

m = 2

The sales tax is m = 2%.

Hence, the sales tax rate is 2%.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ5

Can someone please help me with this question?

Answers

The answer to you question is yes

Marja bicycled 7 hours a day for 14 days. She traveled 294 miles. What is her unit rate of travel per day?

Answers

3 miles per hour
21 miles per day 

First multiply 7 by 14 to see how many hours she cycled for the whole trip. 98 hours. 

294 divided by 98 = 3, which is the miles she cycled for an hour. 

You want to know per day, 3 times 7 = 21
Final answer:

Marja's unit rate of travel per day is calculated by dividing the total miles she traveled (294 miles) by the number of days she biked (14 days). The result is 21 miles per day.

Explanation:

The question asks for the unit rate of Marja's travel per day. Unit rate refers to the amount of quantity per one unit of another quantity. In this case, we want to find out how many miles Marja bicycles in a single day.

To calculate this, we need to take the total miles she traveled (294 miles) and divide it by the total number of days she biked (14 days). So, 294 miles ÷ 14 days = 21 miles/day.

This means Marja's unit rate of travel per day was 21 miles.

Learn more about Unit Rate here:

https://brainly.com/question/22607023

#SPJ2

Other Questions
Right trapezoid WXYZ is shown. What is the measure of angle WXY? World war ii is one of the most studied events in history in terms of understanding the origins of such a disastrous global conflict. understanding the causes of such a drastic event will lead to further comprehension of how the global political climate evolved in the 20th century. analyzing the links between the post-world war i era and this time period is crucial for learning how future conflicts arise, especially as to understanding the origins of the cold war in later years !!30 PTS!!if it is 10 pm in Oregon where is it that it is 1 pm?I am trying to convert time but, I am not THAT good at it The cube has a mass of 3,300 g. What is its density? g/cm3 What substance is it? Status is a characteristic under the social identity theory that reflects the ________. What does academic integrity mean? ___________ may be the cause of impulsive aggression, which can be treated with _________. An atom nucleus contains 28 protons and the atom has a mass number of 60. how many neutrons does this atom contain? how many electrons? what is the identity of the atom? A vocal form in which different lyrics are sung to each repetition of the same melody in the United States your legal right to express your political opinions to government officials is granted under the blank amendment Carys is checking her tax bill for the last year. The tax rates were as follows: No tax of the first 11 000 of earnings. Earnings in excess of of 11 000 and up to 43 000 taxed at a rate of 20%. Earnings in excess of 43 000 and up to 150 000 taxed at a rate of 40%. Earnings over 150 000 taxed at a rate of 45%. Last year Carys, earned 45 600 before tax. How much tax did she pay in total. Show your working.It isn't 18240 it says its wrong Scientists discovered that dna contained the heredity information by studying the dna and the protein coating of a bacteriophage. a bacteriophage is: if I spacecraft seems to be Motionless in deep space is given some type of quick push what will happen What is electrical conductivity an example of? When constructing a responsibility matrix or "raci" chart, it is important to ensure that only one person has primary accountability for any activity? What is the capital of Jamaica?Question 7 options:HavanaKingstonPanama CitySan Juan How do mutations affect an organism? how do mutations affect an organism? they, in some cases, may have no noticeable effect. they may cause the development of a more beneficial allele. they may cause the development of a disease-causing allele. all of the listed responses are correct? What must be true of two rational expressions before they can be added?A They must have common numerators.B They must be of the same degree.C They must have the same variables.D The must have common denominators. In english class,each student must select 4 short stories from a list of 5 short stories to read. how many different combinations of short stories could a student read? math A sea is a body of water partially surrounded by land. a. True b. False Steam Workshop Downloader