A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

12.65

Step-by-step explanation:

The formula for Pythagorean Theorem is 'a' squared + 'b' squared = 'c' squared. So let's call the base of this triangle, which is 3, 'a' and the length, which is the hypotenuses, 'c'. Now we need to plug it in. So, we square 3 and square 13. It's now (9+b=169). Solve the equation and you get b^2=160. So now we solve for the square root. And the answer is 12.6491106407 which you can round to 12.65


Related Questions

Tim had $788 in his checking account. Then, he spent $135 from the account. How much money is left in Tim's checking account?

Answers

Answer:

$653

Step-by-step explanation:

788 - 135 = 653

Answer:

653..too easy

Step-by-step explanation:

788

-135

653

PLEASE HELP FAST! WILL GIVE BRAINLIEST.

Answers

Answer:

..

Step-by-step explanation:

right and scalene

Answer:

E, F

Step-by-step explanation:

Because the triangle has a right angle, it is a right triangle. Also, because the triangle doesn't sides of equal length, the triangle is also scalene.

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Using Pythagorean Theorem. It’s around 10.7

what is the measure of angle one

Answers

Angle one would be 61
The answer is 61 is the angle have a great day hun

please help me I will choose brailiest

Answers

Answer:

similar; RYL by SAS similarity

Step-by-step explanation:

Side RL Is congruent to side RH and side RY is congruent to side RA by a scale factor of 3.5. and we know thank angles LRY and HRA are congruent by the reflexive property. So the two triangles are congruent by Side-Angle-Side similarity.

Find the area of the figure

Answers

Answer: 7500m

Step-by-step explanation:

a point in rectangular coordinates is given. Convert the point to polar coordinates. Round your answers to two decimal places.
(5,7)

Answers

Answer:

(√74, 54.46°)

Step-by-step explanation:

The rectangular coordinate point is given as; (5, 7)

Now, converting rectangular coordinates to polar coordinates is done by;

(r, θ)

Where, r is the magnitude while θ is the angle

r = √(5² + 7²)

r = √74

tan θ = (7/5)

θ = tan^(-1) 1.4

θ = 54.46°

Thus,polar coordinate is; (√74, 54.46°)

If anyone can solve this quickly I will give brainly

Answers

Answer:

m∠BFE  = 171º

BE = 219º

Step-by-step explanation:

∠BFE is supplementary to ∠EFC

m∠BFE  = 180 - 9

m∠BFE  = 171º

--------------------------

The angle between two chords is equal to half the sum of the intercepted arcs:

∠BFE = (DC + BE)2

171 = (123 + BE)/2

342 = 123 + BE

219º = BE

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 13 inches, and the length of the base is 8 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch

Answers

Answer:

12.2 inches

Step-by-step explanation:

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 5 inches, and the length of the base is 2 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

The length of the sides of the isosceles triangle can be found from the

given altitude and the length of the base.

The perimeter of the triangle is approximately 35.2 inches.

Reasons:

The given parameter are;

The triangle is an isosceles triangle

The altitude cuts the base into two

Length of the altitude, h = 13 inches

Length of the base of the triangle, l = 8 inches

Required:

Find the perimeter of the triangle.

Solution:

By using the Pythagorean theorem, we have;

Length of one of the isosceles sides of the triangle which is an hypotenuse

side of the right triangle formed by the altitude, R, is given as follows;

[tex]\displaystyle R = \mathbf{\sqrt{ h^2 + \left(\frac{l}{2} \right)^2}}[/tex]

Therefore;

[tex]\displaystyle R = \sqrt{ 13^2 + \left(\frac{8}{2} \right)^2} = \mathbf{ \sqrt{ 13^2 + 4^2}} =\sqrt{185}[/tex]

R = √(185) inches

Therefore, the length of the other hypotenuse side = R = √(185) inches

On the original triangle, the sides are; R, R, and l

Which gives;

The perimeter of the triangle, P = R + R + l = 2·R + l

Therefore;

P = 2 × √(185) + 8 ≈ 35.2

The perimeter of the triangle, P ≈ 35.2 inches.

Learn more about Pythagorean theorem here:

https://brainly.com/question/2514956

THE FIRSTT
ONE Plsss someone help me

Answers

The answer is 20%

30+60+30+30=150grams total
30grams cheese/150grams total= 0.20
0.20 as a percentage is 20%

Select all of the statements that are valid based on the survey results.

Answers

Answer:

all except the last one

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

Most student scored from 70-79

help finding the circumference

Answers

Answer:

approximately equal to 72 centimeters

Step-by-step explanation:

The formula for the circumference of a circle is 2[tex]\pi[/tex]r.  

The formula for finding the radius with an arc and an arc length is 180 times l over [tex]\pi[/tex] times the angle.

[tex]\frac{3420}{298.45}[/tex] which is approximately equal to 11.46

11.46 is our radius so the circumference is 2[tex]\pi[/tex](11.46) or about 72

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Answers

Answer:

2x[tex]\sqrt{15}[/tex]

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = [tex]\sqrt{4}[/tex]·[tex]\sqrt{15}[/tex] · [tex]\sqrt{x^2}[/tex]

This can be simplified to be 2x[tex]\sqrt{15}[/tex]

The cereal box shown below is a rectangular prism.

Answers

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

Side 1:

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

Side 2:

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

Side 3:

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

Side 4:

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

Side 5:

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

Side 6:

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

Surface Area:

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

So far this semester, Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester. What was the average of his scores last semester?

Answers

Answer:

Step-by-step explanation:

So far this semester, What was the average of his scores last semester?

Let us represent last semester average score as x

We are told that:

Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester.

This is expressed Mathematically as:

63 = x - 10%

63 = x - 0.1

Collect like termd

x = 63 + 0.1

x = 63.1

Use the proportion below to determine 30% of 20.

Answers

Answer:

x=6

Step-by-step explanation:

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w Sal could make to break the record.

Answers

Answer:

Answer: 50x+100\geq18,00050x+100≥18,000

Let w denotes a seven letter word which Sal will need to make to break the record.

Since you get 50 points for each seven-letter and 100 points for playing the game.

Then the total points earned by you by making w seven letters words will be:

50x+10050x+100

Since, Sal wants to break that record, and needs 18,000 points or more to do so.

Then , the required inequality will be :

50x+100\geq18,00050x+100≥18,000

The measure of an angle is 28.1°what is the measure of its complementary angle

Answers

Answer:

Step-by-step explanation:

in complementary angle sum of two angle is always 90 degree.so,

let another be x

x+28.1=90

x=90-28.1

x=61.9

therefore another angle is 61.9 degree.

Why is this equation not valid? Please help

Answers

Answer:

not valid..

Step-by-step explanation:

I’m decent at math, but what is this

Item 2
Which statements about liquid volume are true?

Select each correct answer.


One milliliter is 100 times smaller than one liter.

Liters are smaller units than milliliters.

Milliliters are smaller units than liters.

One liter is 1,000 times larger than one milliliter.

One milliliter is 100 times larger than one liter.

One liter is 1,000 times smaller than one milliliter.

Answers

Answer:

C, D

Step-by-step explanation:

These are the only correct statements about liquid volume. 1L= 1,000mL

A Liter is larger than a mL, a thousand times so.

A mL is smaller than a Liter, a thousand times so.

The correct statements about liquid volume are:

1. One milliliter is 100 times smaller than one liter.

2. Milliliters are smaller units than liters.

3. One liter is 1,000 times larger than one milliliter.

1. One milliliter is 100 times smaller than one liter:

This statement is true.

Since there are 1,000 milliliters in one liter, dividing one liter by 1,000 gives us the equivalent value of one milliliter.

2.  Milliliters are a smaller unit of measure compared to liters. There are 1,000 milliliters in one liter, so any given volume in milliliters will be a fraction of the equivalent volume in liters.

3. As mentioned earlier, there are 1,000 milliliters in one liter.

Therefore, one liter is 1,000 times larger than one milliliter.

4. Liters are larger units of measure compared to milliliters.

5. As explained earlier, one milliliter is 100 times smaller than one liter.

Learn more about Unit Conversion here:

https://brainly.com/question/31054078

#SPJ6

which expressions are equivalent to x^4/5

Answers

None of the above! The correct answer is 5 square root x^4 and it isn’t listed
Please Mark BRAINLIEST!

Can anyon help me plzz...
Solve these order of operation:
A. (2.8+(-1^4)×(3.4^0-4×0.5)
B. 2.8÷(-3.1+5^2)
C. 15.3+3.1×4-8×(-0.6)​

Answers

Answer:

A= 3.8 B= 0.127 C= 32.5

Step-by-step explanation:

1) Solve. -3x – 4 = 5

Answers

x=-3

Hope this helped!

X= -3
Have a nice day!

Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$ for $\pi$ . Round to the nearest hundredth if necessary.

Answers

Answer:

18.84 units

Step-by-step explanation:

The question is incomplete, however, we can proceed with the given information

Given data

The expression for the circumference of a circle is given as

C= 2πr

Hence when we have a value for the radius say r= 3

Hence the circumference can be found as

C= 2*3.14*3

C= 18.84 units

The number of cats to the number of dogs owned by the students in a class is 5:3. There are 95 cats, how many dogs are there?​

Answers

57 dogs so it would be 95:57

375 fish are swimming in a school. First, 47 fish swim away. Then 116 more fish join the school. How many fish are in the school now? 2. Which operations will you use to find how many fish are in the school now? Explain. 3. Generalize Are there now more or less than 375 fish in the school? Explain how you know. 4. How many fish are in the school now?

Answers

Answer:

444

addition and subtraction

there are more fish in the school

the number of fishes that left the school is less than the number of fish that joined the school

Step-by-step explanation:

fishes that swam away = 375 - 47 = 328

fish that joined = 328 + 116 = 444

to determine the fish that swam away subtract. to determine the fish that joined, add.

116 is greater than 47. so there are more than 375 fish in the school

Find the median and mean of the data set below:
21,0,36,30,13,32

Answers

Answer:

Mean: 22

Median: 25.2

Step-by-step explanation:

The mean is the sum of all the numbers in a set divided by the number of terms in a set.

The median is the middle value of the numbers when the numbers in a set are arranged from least to greatest. If there is two middle numbers, the median is the average of the two numbers.

I hope this helps!

2 trifles coast $7
how much will 6 trifles coast

Answers

Answer:

$21

Step-by-step explanation:

2 trifles coast = $7

2 x 3 = 6

7 x 3 = 21

Help I will give brainiest. you don't have to explain​

Answers

Answer:

1. No solutions

2. Yes, if Jane buys 3 shirts and yuki buys 4

4. No solutions

5. One, x=6

6. 1-x will be different from 5(x-4) - 6x regardless of the value of x because 5x - 6x is infinitely equal to 1-x but then you will always have to subtract 20, making them infinitely different.

Step-by-step explanation:

Other Questions
WHO KNOWS HOW TO DO THISSS NEED HELP RN PLSLi PO4 + AlF Help me!! Thank you for the help!! Oscar compiles data on his business progress every year from 2005 to 2020 (except a year he skipped in 2012). He uses the data to create a regression model. From the model Oscar estimates for 2004, 2012, 2021 and 2030.Which of theseshould be considered most / leastreliable? Pls Hurry Asap I Will Give Brainliest! Please help me with this math Please help me with number 2 Which graph represents the solution set of this inequality?\qquad10c + 5 \leq 4510c+54510, c, plus, 5, is less than or equal to, 45Choose 1 answer:(Choice A)A(Choice B)B(Choice C)C(Choice D)D Quentin is playing baseball and is batting. He swings and hits the ball sending it flying to the outfield. Which is greater- the force of the ball on the bat or the force of the bat on the ball ? Nirvana Shoes Inc. and StepOut Shoes Inc., two competing shoe brands, entered into a strategic alliance to study and acquire each other's competencies. Nirvana Shoes entered the strategic alliance to acquire the production system pioneered by StepOut Shoes. Similarly, StepOut Shoes agreed to the strategic alliance to study the design process of Nirvana Shoes. However, Nirvana Shoes was more successful and faster than StepOut Shoes in accomplishing its alliance goal. What does this scenario best illustrate como funciona un motor de conbustion interna? Which of the following is true? Sine is negative in Quadrant I. Tangent is positive in Quadrant III. Cosine is positive in Quadrant III. Sine is negative in Quadrant II. which of the following is incorrect? Write Each Percent as a fraction in lowest terms9%34% Which newspaper headline sounds the least credible?Answer: Presidents plan is a total mess. How to look out for t.r.a.f.f.i.c.k.e.r.s? I found flowers and string on my car 1. Word painting, the technique of writing musical lines that support the meaning of the text, is primarily associated with a.concertos. b.tone rows. c.madrigals. d.jazz.2. A collegium musicum was (1 point) A.a conservatory where musicians studied their craft. B.a musical composition for orchestra with a prominently featured soloist.C. a type of amateur musical group that became popular in the Baroque period. D.a school song, also known as an alma mater.3. The Baroque style of a single vocal line with simple instrumental accompaniment is known as (1 point) A.counterpoint. B.monody. C.polyphony.D. organum.4. Which composer wrote the collection of keyboard pieces known as The Well-Tempered Clavier? (1 point) A.Claudio MonteverdiB. Ludwig van BeethovenC.Felix MendelssohnD. Johann Sebastian Bach5. Click on the play button below to listen to the audio sample. This musical excerpt, with its small group of soloists against an orchestral background, is known as a(n) (1 point)A.concerto Grosso. B.symphony. C.tone poem. D.overture6. _____ orchestras were substantially larger than those of earlier periods. (1 point)A.Renaissance B.Baroque C.Classical D.Romantic7. Unresolved dissonance, chromaticism, and atonality are characteristics of _____ music. (1 point) A.twentieth-century B.Classical C.Middle Ages D.Baroque8. Click on the play button below to listen to the audio sample. In this excerpt, the musicians pluck the strings of their instruments rather than bowing them, a technique known as (1 point) A.da capo. B.pizzicato.C .tone row. D.temperament.9. Which of the following composers was from the Baroque period? (1 point) A.Antonio Vivaldi B.Franz Schubert C.Giovanni Pierluigi da Palestrina D.Felix Mendelssohn10. Recitative is (1 point) A.the part of the Mass that is sung on special occasions. B.a musical delivery that imitates the patterns of speech in an opera. C.a text setting typical of the Renaissance period. D.many notes set to a single syllable of text.11. A(n) _____ is similar to an opera, but its subject matter is religious, and it is not staged. (1 point) A.RequiemB. oratorio C.aria D.overture12. The script of an opera is known as a(n) (1 point) A.aria. B.overture. C.lieder. D.libretto.13. Which of the following is not a type of orchestral work? (1 point)A.madrigal B.symphony C.concerto D.tone poem14. _____ is music written for a small ensemble. (1 point) A.Monody B.An overture C.Chamber music D.A libretto15. Large brass, reed, and rhythm sections are typically found in a(n) (1 point) A.orchestra.B.collegium musicum.C.jazz combo. D.big band16. Arnold Schoenberg pioneered the technique known as (1 point) A.Impressionism.B.Nationalism. C.Serialism. D.chromaticism.17. The unique, uneven rhythmic character of jazz music is known as (1 point) A.swing. B.meter. C.syncopation. D.improvisation.18. Click on the play button below to listen to the audio sample. From which style period is this excerpt? (1 point)A. the RenaissanceB.the Baroque periodC. the Classical periodD. the twentieth century19. Click on the play button below to listen to the audio sample. From which style period is this excerpt? 0:00 / 1:12 (1 point) A.the Renaissance B.the Baroque period C.the Classical period D.the twentieth century20. Click on the play button below to listen to the audio sample. Jazz music makes liberal use of _____ like the ones you hear in this example. (1 point) A.root-position triads B.seventh chords C.ornaments D.cadenzas 10. Solve for x akoajssbsbqn PLEASE I NEED HELP! Find the probability. Image attached (math) 2020100Lack ofplanning forthis type ofemergencyDon't knowrefusedLack ofcoordinationamonggovernmentagenciesPoorleadership inWashingtonIn response to a poll, 58% of Americans said that the federal government had done a fair or poor job responding to Hurricane Katrina.Based on the graph, what conclusion can be drawn about the reasons Americans give for this failure?A)Few Americans fault national leaders for the failed responseB)Most Americans believe the fault for the failed response lies with thePresidentLack of planning and coordination among government agencies weremajor factors in the failed response.Many Americans believe that it is not the job of the federal government torespond to natural disasters such as hurricanesD)1992 to Present Find arc length for QT