Mathematics High School

Don placed a ladder against the side of his
house as shown in the diagram below.
Ladder
20 ft
19.5 ft
X
Which equation could be used to find the
distance, x, from the foot of the ladder to the
base of the house?

Don Placed A Ladder Against The Side Of Hishouse As Shown In The Diagram Below.Ladder20 Ft19.5 FtXWhich

Answers

Answer 1

Answer:

19.5^2 + x^2 = 20^2

Step-by-step explanation:

You would use the pythagorean theorem to find the missing side length

Answer 2

The equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

What is Pythagoras theorem?

Pythagoras theorem states that the sum of the square of base and perpendicular of a right angled triangle is equals to the square of hypotenuse.

i.e.

H² = P² + B²

We have,

Height of house = 19.5 ft,

And,

Length of ladder = 20 ft

And,

Distance of foot of ladder from house = x

Now,

Using the Pythagoras theorem,

i.e.

H² = P² + B²

So,

According to the question,

20² = 19.5² + x²

i.e.

[tex]x = \sqrt{ 20^2 - 19.5^2}[/tex]

So,

This is the equation that could be used to find the distance.

Hence, we can say that the equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

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Related Questions

y=2x+9, identify the slop and the y intercept

Answers

Answer:

Slope: 2  Y intercept: 9

Step-by-step explanation:

a truck travels 1/8 mile in 2/3 minute. what is the speed of the truck?

Answers

Answer:

fgfthvjjuuytrf46477777

Which number sentence is true? ​

Answers

Answer:

B

Step-by-step explanation:

B) because 8.5 is bigger than 2.97

hope this helps!!

who likes one direction and what 92 times 104

Answers

I like one direction!

Answer: 9,568

Hope this helps!

Step-by-step explanation:

it's 9,776 the answer the problem is 9,776

1. Good recordkeeping requires that you keep an accurate record of how you spend your money.

Answers

Answer:

True

Step-by-step explanation:

This answer stated is true

Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent error for Diego's measurement? WITH EXPLANATION please and thank you :)

Answers

Answer:

4.34%

Step-by-step explanation:

Given that,

The measured length of a pen = 22 cm

Actual length of the pen = 23 cm

We need to find the percent error for Diego's measurement. It can be calculated as follows :

[tex]\%=\dfrac{23-22}{23}\times 100\\\\=4.34\%[/tex]

So, the required percentage is 4.34%.

Find the midpoint of line CD given C(7, 5) and D(-3, -1)

Answers

Answer: C (2,-3)
Explanation: (x1+x2/2),(y1+y2/2)

April worked 1 1/2 times as long on her math project as Carl. For how many hours did April work on her math project?

PLEASE ANSWER ASAP!!!

Answers

Answer: 7 7/8 hours long

Step-by-step explanation:

April worked 1 1/2 times as long as Carl did. 1 1/2 can be rewritten as 3/2. Number of Hours April worked on math project 3/2 times the Number of Hours Carl worked on Math project. Which Carl worked 5 1/4 hours long, which can be rewritten as 21/4

answer this correctly and i will give brainliest

Answers

10^13 cause you add the exponents together
10^13 because of exponents

What is the slope of the linear equation y = -7x + 7?

Answers

Answer:

-7

Step-by-step explanation:

y = mx + b is slope-intercept form and m is the slope. In this case m = -7 so the slope is -7.

With the trend on this scatter plot, how many hours per week would a level-9 gymnast practice?

a. 2 hours
b. 9 hours
c. 15 hours
d. 6 hours

Answers

i think that it would be C

Answer: C

Step-by-step explanation:

I don't really know how to explain it

what does equal to?? x/y · y =

Answers

Answer:

=x

Step-by-step explanation:

x/y·y

=xy/y

=x

Hope this helps

PLS BRAINLIEST

How many unique roots are possible in a sixth-degree polynomial function?

Answers

Answer:

B. 6

Step-by-step explanation:

There is one possible root for every degree, so, for example, with a third-degree polynomial function, there would be 3 possible unique roots.

Answer: 6

Step-by-step explanation:

sixth-degree only has like six numbers

I got it wrong i need it help

Answers

Answer:

25

Step-by-step explanation:

Given,

Measurement of <1 = x + 10

Measurement of <2 = 4x + 5

Also, said in the question that both these angles are complementary.

Therefore, by the problem,

<1 + <2 = 90°

=> x + 10 + 4x + 5 = 90

=> x + 4x + 10 + 5 = 90

=> 5x + 15 = 90

=> 5x = 90 - 15 = 75

[tex] = > x = \frac{75}{5} [/tex]

=> x = 15

Now, we have got the value of x so,

Measurement of <1 is

<1 = x + 10 = 15 + 10 = 25 (Ans)

plzz help need help need help

Answers

Just divide 75 by 9 multiplying 100 gives u the answer. And same for the rest

HELP HELP HELPPP PLEASEE
which expression has a leading coefficient that is a perfect square?

49w2+w+53

10w2−19w+100

2w2+25w−9

50w2−5w+25

Answers

Answer:

49w2+w+53

49 is a perfect square it'll be 7

Step-by-step explanation:

An expression has a leading coefficient that is a perfect square is 49w²+4+53.

What is a perfect square?

A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.

The term with the highest degree i.e., the term with the largest power of the variable is the leading term. The leading coefficient is the leading term's coefficient.

In the polynomial 49w²+4+53

The highest degree is with the term 49w² is 2, and its coefficient is 49.

49=7×7=7²

So, 49 is the perfect square.

Therefore, option A is the correct answer.

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Identify the percent of change as an increase or decrease. 24 songs to 78 songs. Find the percent of change

Answers

Answer:

an increase of around 30.76%

Step-by-step explanation:

24 divided by 78 = .307692307....

Answer:

225%

Step-by-step explanation:

78- 24= 54

54/24=2.25

2.25x100=225

On a scale drawing, a bookshelf is 8 inches tall. The scale factor is 1/8 What is the height of the bookshelf?​

Answers

Answer:

8 inches = 1/8 of the real height of the book shelf

Multiply 8 by 8 because the question shows 1/8 of the book shelf

8x8=64

The book shelf is 64 inches.

or 5 feet and 4 inches.

Answer:

it would b 64 in. or 5 ft. 4 inches

Step-by-step explanation:

8x8 = 64

Hey, I've attempted this question a thousand times and keep on getting it wrong :( please help. Thank you

Answers

2hour because raymond is useles

Step-by-step explanation:

Answer:

72 minutes or 1 hour and 12 minutes

Step-by-step explanation:

in one hour Raymond would have done 1/3 of a job

in one hour Robert would have done 1/2 of a job

so in one hour together, they would have done 1/2+1/3 = 5/6 of a job

5/6 job = 1 hr

1/6 job = 12 mins

6/6 job = 72 minutes

There are 126 Year 7 pupils in a tennis club, out of a total of 168 pupils.

Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.

Answers

Answer:

75% of students are year 7

Step-by-step explanation:

divide 126 by 168 which equals 75% of year 7 pupils

Please answer this correctly I’ll mark you brainlist! :)

Answers

Answer:

53

Step-by-step explanation:

[tex]8 - \frac{m}{n} + {p}^{2} \\ \\ (plug \: m = 8, \: \: n = 2, \: \: p = 7) \\ \\ = 8 - \frac{8}{2} + {7}^{2} \\ \\ = 8 - 4 + 49 \\ \\ = 4 + 49 \\ \\ = 53[/tex]

Answer:53

Step-by-step explanation:

substitute the letters for the numbers then use pemdas

Help fast please ASAP

Answers

Answer:

a rotation of 180° about point (0.5, -0.5) followed by a dilation of 0.5

Step-by-step explanation:

will give brainly to answer this correctly

Answers

Answer:

D) 2x² + x - 10

Step-by-step explanation:

First, distribute the negative sign to all terms within the second parenthesis:

- (4x - x² + 6) = -4x + x² - 6

Next, combine like terms:

5x + x² - 4 - 4x + x² - 6

(x² + x²) + (5x - 4x) + (-4 - 6)

2x² + x - 10

2x² + x - 10 , or D) is your answer.

Answer:

2x^2+x-10 (the pink/red one)

Step-by-step explanation:

(5x+x^2-4)-(4x-x^2+6)

5x+x^2-4-4x+x^2-6

2x^2+x-10

Hans earns 54 dollars per week working part-time at a book store. He makes one dollar more for each book that he sells. The amount, A (in dollars), that Hans earns in a week if he sells b books is given by the following.
=A+54b
How much does Hans earn in a week if he sells 25 books?
dollars

Answers

Answer:

54 + 25 = $79

Step-by-step explanation:

I think??

Answer:

If you add 54 and 25 together you will get $79

Step-by-step explanation:

because 4+5= 9 and 5+2=7  so 79.

The diagram shows two right-angled triangles. Calculate the value of x.

Answers

52° would be the value of x

The value of x in the given diagram is 7cm.

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

According to the given question.

We have a diagram in which we have two right angled triangles.

Now, in the upper right angled triangle

[tex]tan50 = \frac{0pposite side}{5}[/tex]

⇒ 1.19 = 0pposite side/ 5

⇒ opposite side = 1.19 × 5

⇒ opposite side = 1.2 × 5

⇒ opposite side = 6cm

Now, the opposite side w.r.t angle 50  degrees in the upper right angle triangle is a adjacent side w.r.t to angle 38 degrees in the lower right angle triangle.

So, in the lower right angle triangle.

[tex]tan38 = \frac{x}{adjacent side}[/tex]

⇒[tex]0.78 = \frac{x}{6}[/tex]

⇒ x = 0.78 × 6

⇒ x = 4.68

⇒ x = 7cm

Hence, the value of x in the given diagram is 7cm.

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What is the probability that a student who plays an instrument is in band?
A. 20/25
B. 5/25
C. 5/30
D. 5/50

Answers

It’s A so it’s 20/25

please help i have no idea what im doing!

Answers

Answer:

x represents hours of babysitting

y represents hours of music lesson

hours on babysitting: 11

hours on music lessons: 7

Step-by-step explanation:

x+y=18

5x+12y=139

-5(x+y=18)

=-5x-5y=-90

(5x+12y=139) + (-5x-5y=-90)

7y=49

y=7

x+7=18

x=11

Is it possible to slow light to almost zero miles/second? What machine would benefit from slowing light's
speed?

Answers

Answer:

light, which normally travels the 240,000 miles from the Moon to Earth in less than two seconds, has been slowed to the speed of a minivan in rush-hour traffic — 38 miles an hour.

An entirely new state of matter, first observed four years ago, has made this possible. When atoms become packed super-closely together at super-low temperatures and super-high vacuum, they lose their identity as individual particles and act like a single super-

atom with characteristics similar to a laser.

Step-by-step explanation:

HURRY PLEASE!! Use the number line to answer the following questions.
-1 0 1
Part A
What is the sign of q + 8? Explain how you know.
Respond in the space provided.

Answers

Answer:

its -1

Step-by-step explanation:

Suppose h(t) = -7t² - 6t-18 models the height (in feet) of a person jumping off a cliff into a river while on vacation, as a function of time, t, in seconds. How high above the water is the cliff?
A. 7 feet
B. 6 feet
C. 18 feet
D. 29 feet​

Answers

C. 18 ft is I think the answer
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