A 15 foot ladder leans against a house with the base of the ladder 4 feet from the house. How high, to the nearest foot, up the wall will the ladder reach? ​

Answers

Answer 1

Answer:

height of house to ladder reach is 14 ft

Explanation:

Given data

ladder = 15 ft

base = 4 ft

to find out

height of house

solution

we know this is triangle shape so we apply here

so we consider here x is ladder and y is base and z is height

so

by pythagoras theorem

z² + y² = x²

so here

z² = x² - y²

put value

z² = 15² - 4²

z² = 209

z = 14.45 = 14

so height of house to ladder reach is 14 ft

Step-by-step explanation:

Answer 2

The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.

a^2 + b^2 = c^2

a^2 + 4^2 = 15^2

a^2 + 16 = 225

a^2 = 209

a = 14.5 feet


Related Questions

35x+0.10(100-x)

what’s the answer for this i’ve tried but can’t figure it out someone help me!!!

Answers

Answer:

34.9x+10

Step-by-step explanation:

Answer: solve for X

{

y=0,

y∈R,

 

x

=−1

x=0

Step-by-step explanation:

5. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

Write a rule for the linear function in the table.


X F(x)

0 3

3 15

6 27

9 39


A. f (x) = 1/4x + 3

B. f (x) = 4x + 3

C. f (x) = x + 3

D. f (x) = -4x - 3

Answers

Answer:

i can't find the answer

Step-by-step explanation:

Can any one help me on this question ?

Answers

Answer:

70°

Step-by-step explanation:

2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }

3x + 150° = 360°

3x = 360° - 150°

3x = 210°

x = 70°

Hope it will help :)

Answer:

70

Step-by-step explanation:

Since sum of all angles in a quadrilateral is 360°

angle P+ angle Q + angle R + angle S= 360°

80+70+x+2x=360

3x= 360-150

3x = 210

x = 210/3

x= 70

what are the missing values, and what is the equation for the table

Answers

Answer:

Step-by-step explanation:

This is a linear equation. Mx+b=y.

m=slope

x=x coordinate

y=y coordinate

b=y intercept (where x=0)

For this problem, you need to plug in 2 "coordinates", ex (1,16), and (0,__). You would need to find the slope, which would be y2-y1/x2-x1 (find two "coordinates" and then put it in, order doesn't matter.)

Hope this helps!

9514 1404 393

Answer:

see attached for table valuesexponential equation: y = 8·2^x; linear equation: y = 60x -44

Step-by-step explanation:

Two points are not sufficient to define a graph, so the equation could be anything that gives the listed values.

We note that the given y-values are powers of 2. Specifically, they are 2^4 and 2^8. These powers differ by 4, just as the corresponding x-values differ by 4. This suggests an exponential equation might be good fit:

  y = 2^(x+3)

Simplified, this is ...

  y = 8·2^x . . . . . exponential equation for table values

__

Alternate solution

Often, when only two points are given, a linear function is indicated. We can use the two given points in the 2-point form of the equation for a line to find what the linear equation might be.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (256 -16)/(5 -1)(x -1) +16 . . . . with values filled in

  y = 240/4(x -1) +16 . . . . . . . . . . . find the ratio

  y = 60x -60 +16 . . . . . . . . . . . . . eliminate parentheses

  y = 60x -44 . . . . . linear equation for table values

__

The two answers we looked at here are shown in the attached table. There are an infinite number of other possibilities.

Graph the image of rectangle EFGH after a reflection over the line x= –1

Answers

Answer:

G (1,7)

H (2,7)

F (1,-1)

E (2,-1)

Step-by-step explanation:

The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

What is a translation?

The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).

Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

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what is the answer to 4 - (-4)

Answers

The answer to this question is 8

35 points!!! Help!! Make sure u answer all!!!

Answers

Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

24 x 15 = 360

360 = 360

Step-by-step explanation:

Solve: -3k(1-6k)=6k+21

Answers

Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

k

=

3

+

177

12

,

3

177

12

Decimal Form:

k

=

1.35867789

,

0.85867789

Step-by-step explanation

I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?

3 over 7, 2 over 5, 3 over 4, 2 over 9

2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9

Answers

Answer:

2/9 = 0.2 repeating

3/7 = 0.428571 repeating

Step-by-step explanation:

Please help ten points

Answers

A=70 degrees
B=55 degrees
C=25 degrees

Plz help me with this question

Answers

Answer:

C

Step-by-step explanation:

Remark

There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.

Givens.

KN = 2.5

NO = 10

LM = 3

MP = x

Equation

NO/KN = PM / LM

Solution

10 / 2.5 = x / 3              Cross multiply

2.5x = 10 * 3                 Combine

2.5x = 30                      Divide by 2.5

x = 30/2.5

x = 12

That looks like it should be the answer, and it almost is, but you are asked for LP.

LP = LM + MP

LP = 3 + 12

LP = 15

The answer is 15

Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34

Answers

Answer:

x = 0.69

Step-by-step explanation:

11/x + 18 = 34

11/x = 16

11 = 16x

x = 0.6875 = 0.69

A collection of dimes and nickels is worth 3.30. if there are 42 coins in total how many of each kind of coin are there?

Answers

Answer:1 nickels =$0.05

1 dime= $0.1

Step-by-step explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24

Can someone help me with this math question plz i will appreciate it. So this is the question: some of the methods you can use to add or subtract are?.

Answers

You could use the distributive property, the distributive property is when you break down numbers, 36-36= (16+16)-(16-16)

Answer:

add: jump strategy, adding up to ten, do the tens last, compensation method, double when the numbers are the same, count from a number upwards

Subtract: take away, minus decrease, leave, how many are left over, difference between, half/halve

Step-by-step explanation:

¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?​

Answers

Sorry don’t know language

Are these two triangles congruent? *

Answers

Answer:

not congruent because none of the angles match

Answer:

Not Congruent

Step-by-step explanation:

No.

Two corresponding sides measure 8 and 4.

The other two corresponding sides measure 7 and 3.5.

In order to be congruent, each pair of corresponding sides has to be congruent.

BCDE is a rhombus. Find the missing measures.

BC = 28 and BD = 32

CD =

FD =

EF =

EC =


Answers

Answer: CD=28

FD= 16

Step-by-step explanation:

what is 3v+h v=5 h=10 which is what​

Answers

Answer:

25

Step-by-step explanation:

3(5)+10 = 15 + 10 = 25

Hi please I need answer.I will make brainliest who can answer this.Thank youuu​

Answers

9514 1404 393

Answer:

  (0, 0) 2, 4, 5

  (-1, -1) 1, 2, 4, 5

  (2, -1) 1, 2, 4, 5

  (-2, 2) 2, 4

Step-by-step explanation:

The graph shows the solution sets of the inequalities. Each inequality is graphed in a different color to aid identification of the solution areas.

The purple area, x + 3y ≥ 6, does not contain any of the given points.

The inequalities satisfied by the given points are listed above.

Use the Distributive Property to simplify the expression. 8(s−1) =

Answers

Answer:

the answer would be 8s -8

Step-by-step explanation:

I learned this a long time ago

Answer:

anong grade Yan tol??g7 g7 g8 g9 g10 g11 g12?

Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?

Answers

Answer: The property sold for $5,870.41.

Step-by-step explanation:

Let x be the selling price of the property.

Then, gross commission = 6.5% of x = 0.065x

listing salesman received = 12% of ( 0.065x)  = 0.12 (0.065x) = 0.0078 x

Balance = x - ( 0.065x) -  (0.0078 x)

= (1+0.065-0.0078)x

= 1.0572x

Scott received = 45% of (1.0572x)

=0.45 (1.0572x)

= 0.47574x

Now, [tex]0.47574x=2,792.79[/tex]

[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]

Hence, the property sold for $5,870.41.

Patty, Helene, and Mira share $0.96 that they found in an old wallet. How much money does each girl get?

Answers

Answer:

33 cents

Step-by-step explanation:

.96 divided by 3 = .36

kayden mixed two solutions together which causes a chemical reaction and the solution becomes warm. which statement best describes what has happened

A. energy has been transformed from one form to another

B. energy has been created, where it did not exist before

C. the chemicals energy of the solution had been described

D. more energy has been created than has been destroyed

Answers

The answer is B because before mixing the solution together nothing happened and it wasn’t warm, now that kayden mixed the solutions causing a chemical reaction making it to become warm. There for it will be B

According to law of conservation of energy, the statement  which best describes what has happened is that energy has been transformed from one form to another.

What is law of conservation of energy?

According to law of conservation of energy, it is evident that energy  is neither created nor destroyed rather it is restored at the end of a chemical reaction .

Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.

Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Robert Mayer in the year 1812.

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Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?

Which equation represents this?

2x = 49
2x + 4 = 49
3x = 49
3x + 4 = 49

Answers

Answer:

2x = 49

=x=24.5

if 2x + 4=49

49-4/2=x

x=22.5

if 3x + 4 =49

x=45/3=15

3x + 4 belongs it

15+4is 19

Answer:

2x = 49

=x=24.5

if 2x + 4=49

49-4/2=x

x=22.5

if 3x + 4 =49

x=45/3=15

3x + 4 belongs it

15+4is 19

PLEASE HELPP MEEE!!
I will give brainliest

Answers

Answer:

The 3rd one

Step-by-step explanation:

Let find angle z

Using law of sines

[tex] \frac{xy}{ \sin(z) } = \frac{xz}{ \sin(y) } [/tex]

Plug in the numbers

[tex] \frac{43}{ \sin(x) } = \frac{40}{ \sin(68) } [/tex]

Flip both equations

[tex] \frac{ \sin(x) }{43} = \frac{ \sin(68) }{40} [/tex]

where z=85.4 or 94.6

Using the triangle interior sun theorem,

if z=85.4 let add up all so The first 2 are rules out angles to make sure they add up to 180.

[tex]if \: z = 85.4[/tex]

[tex]85.4 + 68 + x = 180[/tex]

[tex]x = 153.4[/tex]

[tex]x = 26.6[/tex]

The fourth one doesnt have 26.6 as a angle so it cant be that

Let try if z=94.6

[tex]68 + 94.6 + x = 180[/tex]

[tex]162.6 + x = 180[/tex]

[tex]x = 17.4[/tex]

The third one has that.

Also we reuse law of sines YZ=12.9 so it is the third one.

Fill in the blanks to write the fraction 3/4 as in different ways

Answers

Answer:

1.3/4 × 2/2 = 6/8

2.3/4 × 3/3 = 9/12

3.3/4 × 4/4 = 12 /16

4. 3/4 × 5/5 = 15/20

.75, and 75% are two ways to say 3/4

Help me plz., ,, ,, ,, ,,,

Answers

Answer:

1. 100000

2. 16777216

3. x7

4.64

5.1/64  (Decimal: 0.015625)

Step-by-step explanation:

 this is the one i need help with please !! honors algebra 2 , 10th grade

Answers

Answer:

g(g(x)=25x

Step-by-step explanation:

g(g(x) is a composition function. Think of g(x) as input. That means whatever g(x) equal that will be inside of the function g(x)

g(x) equal 5x so 5x will be the equal value going into the function g(x)

[tex]g(x) = 5x[/tex]

[tex]g(x) = 5(5x)[/tex]

Which equal 25x

Yep here we go again:

The x-axis represents the number of hours before or afternoon, and the y-axis represents the temperature in degrees Celsius.


At 9 a.m., it was below freezing. In what quadrant would this point be plotted? Use Roman Numerals in your answer: Either I, II, III, or IV


At 11 a.m., it was 10 degrees Celsius. In what quadrant would this point be plotted?

Here is the image T ^ T ( I will also give brainliest!)

Answers

Answer:

9 am it will be IV quadrant

11 it will be I quadrant

hope it helps u

If at 9 a.m. the temperature was below freezing, which means below 0 degrees Celsius, then the point would be plotted in the third quadrant (III).

What is coordinate plane?

The coordinate plane has four quadrants, which are numbered using Roman numerals I, II, III, and IV, and they are separated by the x-axis and y-axis.

In this case, the temperature was below freezing at 9 a.m., which means it was less than 0 degrees Celsius.

The point would be plotted in the third quadrant (III), where the x-value is negative and the y-value is negative, because the x-axis represents the time in hours before noon and the temperature is negative.

At 11 a.m., however, the temperature was 10 degrees Celsius, which is a positive value.

Thus, the point would be plotted in the first quadrant (I), where both the x-value and the y-value are positive, because the x-axis represents the time in hours before noon and the temperature is positive.

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A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?

Answers

Answer:

About 6.7%

Step-by-step explanation:

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