A ladder leans against the side of a house. The top of the ladder is 14 from the ground. The bottom of the ladder is 10 from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth.

Answers

Answer 1

Answer:

17.2 to the nearest tenth.

Step-by-step explanation:

Use the Pythagoras theorem

If x is the length of the ladder:

x^2 = 14^2 + 10^2

x^2 = 296

x = √296 = 17.2047


Related Questions

HELP PLEASEEE



Which ordered pair is a solution of the equation?
y = 7x-2
Choose 1 answer:

Answers

-7 because y is unknown / the x axis

Line segment XY begins at (-6,4) and ends at (-2,4). The segment is reflected over the x-axis and translated left 3 units to form line segment X'Y'. Enter the lenght, in units, of line segment X'Y'

Answers

Line segment XY begins at (-6,4) and ends at (-2,4); XY is reflected over the x-axis and translated left 3 units to form line segment X'Y' which has a length of 4 units.

What is an equation?

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

Line segment XY begins at (-6,4) and ends at (-2,4). Hence:

[tex]XY=\sqrt{(4-4)^2+(-2-(-6))^2}=4\ units[/tex]

XY is reflected over the x-axis and translated left 3 units to form line segment X'Y'. Hence:

XY = X'Y' = 4 units

Line segment XY begins at (-6,4) and ends at (-2,4); XY is reflected over the x-axis and translated left 3 units to form line segment X'Y' which has a length of 4 units.

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Use completing the square to solve for x in the equation (x-12)(x+4)= 9.

Answers

Answer:

x=4+√73 or x=4−√73

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−8x−48=9

Step 2: Add 48 to both sides.

x^2−8x−48+48=9+48

x^2−8x=57

Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.

Add 16 to both sides.

x^2−8x+16=57+16

x^2−8x+16=73

Step 4: Factor left side.

(x−4)^2=73

Step 5: Take the square root.

x−4=±√73

Step 6: Add 4 to both sides.

x−4+4=4±√73

x=4±√73

x=4+√73 or x=4−√73

Answer:

x=4+√73 or x=4−√73

If this answer helped you, I would greatly appreciate it if you gave me brainliest :D.

Write the fraction that represents 3 feet of rope divided into 8 equal parts.​

Answers

Answer: 3/8

Step-by-step explanation: Divide 3 ft by 8

A 12 foot ladder is set up 5 feet from the base of a building.How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot

Answers

Answer:

about 10.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {h}^{2} + {5}^{2} = {12}^{2} [/tex]

[tex] {h}^{2} + 25 = 144[/tex]

[tex] {h}^{2} = 119[/tex]

[tex]h = 10.9[/tex]

I NEED AN ANSWER FAST
2. If x = -8, which inequality is true?

A. -3x - 2 = 24
B. 12 + 2x > 9
C. 4x -19 318
D. 17 + x>10​

Answers

The answer is D.
The equation would add up to 9, and 9 is less than 10

Answer:

[C] 4x - 19 < 318

Step-by-step explanation:

For [C] I think you meant: [C] 4x - 19 < 318

Since, x = -8

then we can plug it in to each answer choice to find the answer:

[A] -3x - 2 = 24

⇒ -3(-8) - 2 = 24

-3(-8) = 24

24 -2 = 22 not 24

False.

[B]  12 + 2x > 9

⇒  12 + 2(-8) > 9

 12 -16 > 9

-4 > 9

False.

[C] 4x -19 < 318

⇒ 4(-8) -19= 318

-51 < 318

True.

[D] 17 + x>10​

⇒ 17 + (-8) >10​

-25 > 10

False.

Hence, the answer is [C] 4x - 19 < 318

Kavinsky

Find an orderd pair (x,y) that is a solution to the equation 4x+y=9

Answers

Answer:

Below in bold.

Step-by-step explanation:

4x + y = 9

Let's put x = 0 then:

4(0) + y = 9

0 + y = 9

y = 9

So one. ordered pair that is a solution is (0, 9)

A rectangular garden measures 28 ft by 40 ft. Surrounding (and bordering) the garden is a path 4 ft wide. Find the area of this path

Answers

288 ft

first off you will want to find the area of the garden, which is 1120 ft squared, we’ll come back to this

Since the path is 4 ft wide and surrounding the garden, its area is 28+4 by 40+4, minus the area of the garden.

32*44 = 1408 - 1120 = 288 ft

you may or may not need to write it as feet squared

PLEASE ANSWER BOTH QUESTIONS DUE TODAY!!!! (19 POINTS)

Answers

Answer:

A) 8,500

B) B, C

Step-by-step explanation:

A) This seems to be a conversion problem. Since she runs 3 km every Monday Wednesday, and Friday, she would be running 6 km in total every week EXCLUDING the 2,500 meters. Since the question asks how many meters Kailee runs, you would need to convert 6 km to m and add the result to 2,500 meters. To convert km to m you just need to divide the value by 1000 (if your teacher asks for the full conversion method its 6 km * 1 m/1000 km or [tex]6 km * \frac{1m}{1000 km}[/tex]), so 6 km is 6,000 meters. Adding 6,000 to the left over 2,500 from Saturday, the final answer will be 8,500.

B) For the second question, the answer are the two angles BELOW angle A (I'm guessing it is choice B and C). A right angle can be envisioned as a corner of a square or rectangle. The only angle which are larger (wider) are the angles below A (with the long hand pointing at 1 and the long hand pointing at 2).

To win a basketball game, one team scored 102 points. They made a total of 45 two-pointers and three-pointers. How many of the baskets were worth 2 points, and how many were 3 pointers?

Answers

37 2 pointers and 8 three pointers

Please tell me what the answer is

Answers

Question:

Please tell me what the answer is

Answer:

The people with the membership take seven classes

The people without the membership take five classes

Step-by-step explanation:

As it says in the picture:

"A local gym has two different fees for their yoga classes. Members of the gym are charged a one-time membership fee of $25 and pay $5 per yoga class. Nonmembers do not pay a membership fee, but they pay $7 per class. How many yoga classes do nonmembers and members have to attend for their cost to be the same?"

First, what you would do is look for your key words in the sentence. What you'd take from the sentence is everything that I highlighted.

If the membership fee is $25 and yoga classes are $5 and nonmembers cost for yoga classes is $7 then you have your problem right there.

Next, what you would look for is your Greatest common divisor. (GCD) The GCD of 5 and 7 is 5 of course. So now what you would do is find out how many times 5 and 7 goes into five.

7 x 5 = 35

5 x 5 = 25

Now what you do is ask yourself the question, "How many times does the nonmembers and members have to go to class to have the same amount of money spent?"

Now I will answer this question for you.

five dollars for members.

seven dollars for nonmembers.

Your answer is: 7 x 5 (30)

Janice and her family are traveling from North Carolina to Florida for vacation. The first day, they will
travel 435 miles and the second day they will travel an additional 389 miles. About how many miles will
Janice and her family travel altogether?

Answers

Answer: 824 Miles

Step-by-step explanation:435 + 389

Find the unknown length of the side labeled x.

Answers

When we are given sides and an angle, and a right triangle (seemingly), the easiest method of solving is using trigonometry.

Remember: SOH-CAH-TOA

Looking from the given angle, we are given the opposite side and want to know the hypotenuse. Therefore, we should use the sin function.

sin(34) = 2 / x

(x)(sin(34)) = 2

x = 2 / sin(34)

x = 3.7801

x = 3.7801

---Feel free to round to whereever you need/is required by your assignment.

Hope this helps!

Find f (-8) and f (6) for the given function.
f (-x) = (x -1)

Answers

To find f(-8) and f(6), all that we need to do is plug in each of the numbers for x.

f(-8) = -8 - 1 = -9

f(-8) = -9

f(6) = 6 - 1 = 5

f(6) = 5

Hope this helps!

If f(-x) = x - 1, then f(x) = - x - 1. So

f(-8) = 8 - 1 = 7

and

f(6) = - 6 - 1 = -7

If a = -3, determine the value of 4a + 5+ 8a.
HELP PLEASE

Answers

Step-by-step explanation:

I4(-3)+5| +8(-3)

|-12+5| -24

7-24 = -17

Which polynomial lists the powers in descending order?
A. 10x^2 + 8x^3 + x^8 - 3x^6

B. x^8 +3x^6 +8x^3 + 10x^2 - 2

C. x^8 + 10x^2 + *x^3 +3x^6 - 2

D. 3x^6 + 10x^2 + x^8 + 8x^3 - 2

Answers

Answer:

B

Step-by-step explanation:

it goes 8 6 3 2

none of the other ones go this order

A (1,3 ) and B (2,7)

help me

Answers

The answer of this question is √17 units

A cone has a height of 14cm with a circumference of 26.39cm. What is the volume of the cone?

Answers

V=πr2h

3=π·26.392·14

3≈10210.22786
10210.23

On the same coordinate plane mark all points (x,y) such that

(A) y=x+3

(B) y=-x+3

(C) y=|x|+3

Answers

The graphs of the 3 given functions can be seen in the image attached at the end.

How to mark all the wanted points?

Here we basically want to graph the next 3 functions:

y = x + 3

y = -x + 3

y = |x| + 3

So, the first two are linear equations. To graph these we just need to find two points on the line and connect them with a line.

The last one is the absolute value function translated up by 3 units.

So, to give an example of how to graph the first equation, first we evalaute in x = 0, then we get:

y = 0 + 3 = 3

So we have the point (0, 3)

For that same line we can evaluate in x = 1

y = 1 + 3 = 4

Then we also have the point (1, 4).

Now we have 2 points, we can just connect them with a line.

The graph of the 3 equations can be seen below.

A is the blue line, B is the red line, C is the orange graph.

If you want to learn more about graphing:

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2 mi = ? Yd
3 mi = ? Ft
2dt 3in = ? In

Answers

Answer:

2. 3520 yds

3. 15840 ft

8. 27 in

Step-by-step explanation:

2. There are 1760 yards in a mile. Since we're looking for the number of yards in 2 miles, we just have to multiply this number by 2.

2 · 1760 = 3520 yds

5. There are 5280 feet in a mile. Since we're looking for the number of feet in 3 miles, we just have to multiply this number by 3.

3 · 5280 = 15840 ft

8. There are 12 inches in a foot. This means that 2 feet equals 24 inches [2 · 12 = 24]. Since we have to find the number of inches in 2 feet and 3 inches, we just have to add 3 to 24. This equals 27 inches.

PLS HELP!.... a garden has more daisies than roses, and there is at least one rose. Let r represent the number of roses and let d represent the number of daisies. Let's compare the expressions 3r and r + d. Which statement is correct? Choose 1 answer:
A 3r>r + d
B 3r C 3r=r + d
D There is not enough information to tell.

Answers

Answer:

Step-by-step explanation:

since  d > r   , becasue more daises, than roses,  we know that the answer must also reflect this logic.

A is  3r > r+d ,   can't be true, b/c with one rose,  the amount of roses + daises would be 3, and then 3r = r+d    so A is wrong

B is 3r ??? we don't have an equation or inequality to solve.  

C  3r = r+d,   this could be true if r=1  and d=2  and would also be correct for all the requirements.   C seems true,  

D Also,  for the teacher that wrote this,  " compare expressions"  means there are zero equal signs ,   expressions are with out equal signs,   equations have them,  as does C  :/   This teacher doesn't know what they are talking about.  >:/  

Based on the equation, the correct answer is D. There is not enough information to tell.

How to explain the equation

The statement "a garden has more daisies than roses, and there is at least one rose" implies that the number of daisies (d) is greater than the number of roses (r), but it does not provide any specific values for r and d.

Without knowing the specific values of r and d, we cannot determine whether 3r is greater than, equal to, or less than r + d. Therefore, the correct answer is D, indicating that there is not enough information to determine the relationship between 3r and r + d.

Learn more about equations

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find the distance between (0,6) and (0,8)

Answers

Answer:

2 units.

Step-by-step explanation:

8 - 6 = 2 units.

There is no need to use the distance formula as both points are on the y-axis. Its just a simple subtraction.

[tex] \huge \mathfrak \red{hey \: there}[/tex]

[tex]\mathfrak \orange{answer}[/tex]

[tex] \mathfrak \orange{ explanation}[/tex]

Here,

Given,

[tex] x_1[/tex] = 0 [tex] x_2[/tex] = 0

[tex] y_1[/tex] = 6 [tex] y_2[/tex] = 8

[tex] \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } // \sqrt{ {(0 - 0)}^{2} + {(8 - 6)}^{2} } //[tex] \sqrt{ {(0)}^{2} + {(2)}^{2} } // [tex] \sqrt{ {(0 + 4} [/tex]

HELP!! PLEASE!!!!!
Solve the equation by taking square roots
2-8n^2=-198
The best answer gets Brainiest!!

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n=5, -5

Answer:

[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]

Step-by-step explanation:

[tex](2-8n)^2=-198[/tex]

[tex]\sqrt{(2-8n)^2} =\sqrt{-198}[/tex]

[tex]2-8n=i\sqrt{198}[/tex]

[tex]2-8n=3i\sqrt{22}[/tex]

[tex]-8n=3i\sqrt{22} -2[/tex]

[tex]n=\frac{3i\sqrt{22}-2}{-8}[/tex]

I hope this helps!

I don’t know how to do this HELP

Answers

Answer:

Both

Step-by-step explanation:

5+3+4=

12

3+1+1=

5

1+1=

2

1=

1

The line plot shows this data for each number.


Write an exponential growth function with an asymptote of y = -5

Answers

Answer:

graph exponential function using transformations...f (x)=(12)X is reflected about the y-axis and compressed vertically by a factor of 15

PLEASE HELP DUE TODAY!!


What is the value of x?




Enter your answer in the box.


x =

Answers

2√3

hope it helps...!!!

lara draws some triangle models with the measurements she wants to use to construct them.

Answers

Answer:

Ok, but what is the question or data?

The following shape has 1 pair of parallel sides. What is the area of the shape?

Answers

Step-by-step explanation:

Area of triangle on L   = 1/2 b * h   =  1/2  * 8 * 8 = 32  units^2

Area of triangle on R  = 1/2 b*h  = 1/2 * 6 *5  = 15 uits^2

Area of rectangle in between = width x height =  2x 5 = 10 units^2

Total area = 32 +15 +10 = 57 units^2

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?

Answers

Answer:

2h+92

Step-by-step explanation:

The equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.

Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (h+2).

As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as, 2h+2=92

Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.

Which one is it Equal to?
By the way this is a Math Question.

Answers

98
3^2= 9
9x10=90
90+8=98
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