Gerry plans to place a 29 foot ladder against the side of his house to clean his gutters. The bottom of the ladder will be 3 feet from the house. How far up the side of the house will the ladder reach (in ft)?

Answers

Answer 1

Answer:

8[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):

a^2+b^2=c^2

we can find that 3=a and 29=c

3^2+b^2=29^2

9+b^2=841

b^2=832

b=[tex]\sqrt{832}[/tex]

b=[tex]\sqrt{64*13}[/tex]

b=8[tex]\sqrt{13}[/tex]

That is the height that the ladder will reach


Related Questions


Which of the
following could define the function g? Explain your reasoning.

• Equation A: g(x) = 20 - (1.5)*
• Equation B: g(x) = 20. (2.5)*
• Equation C: g(x) = 10. (3.5)*
• Equation D: g(x) = 20 · (4.5)*

Answers

the following could define the function g: 20. (2.5)ˣ = g(x)

correct option: B

What is function?

Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and co-domain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.

h(x) = 20. 4ˣ    (0, 20)

here, g(x) passes through the point (0, 20)

thus, g(x) = 20. aˣ

when x > 0, f(x) < g(x) < h(x)

hence a < 4

so, 20. (2.5)ˣ - 10. 2ˣ > 0

or, 20. (2.5)ˣ = g(x)

correct option: B

To know more about function refer to:

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NEED HELP ASAP
THIS IS DUE TODAY

Answers

The correct answer is $

Lisa records the number of miles that each of her parents drove each day last week. Her results are shown in the table below.
Select ALL the statements about the data that are true.
(don't give scam links, please)

a
The range of all miles driven by Lisa's father was greater than the range of miles driven by Lisa's mother.

b
The average number of miles driven by Lisa's father was greater than the average number of miles driven by Lisa's mother.

c
The median number of miles driven by Lisa's father was greater than the median number of mules driven by Lisa's mother.

d
The median number of miles driven by Lisa's father was equal to the median number of miles drive by Lisa's mother.

e
The average number of miles that Lisa's mother drive Saturday and Sunday was less than the average number of miles that Lisa's father drove on Friday, on Saturday, and on Sunday.

Answers

I think the answer is C

What is the value of 2 cubed plus 5 squared

Answers

Answer:

33 is the answer


Line x is parallel to line y. Line z intersects lines x and y.
1/2
4/3
5/6
8/7
Determine whether each statement is Always True, Sometimes True, or Never True.
Always True Sometimes True Never True
m2 1 + m 24 = 180°
m2 5 - m2 7 = 0°
ZIY
22 28
m22-23= m_1-m24
ооооо
OOOOO
ооооо

Answers

The ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.

What is Coordinate System?

Arrangement of reference lines or curves used to identify the location of points in space is called coordinate system.

Line x is parallel to line y.

Line z intersects lines x and y.

∠1+∠4=180 degree is always true.

∠5-∠7=0 is always true because the two angles are true.

z⊥y is sometimes true.

∠2≅∠8 is always true because the two angles are congruent.

∠2-∠3=∠1-∠4 will be sometimes true.

Hence, the ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.

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A bag contains 8 green M&Ms, 12 blue M&Ms, and 2 orange M&Ms. What is the
probability of choosing a green M&M, eating it, and then choosing a blue M&M?

Please help me this is turn in tomorrow please.

Answers

Answer:

16/77 or about 21%

Step-by-step explanation:

P(G,B) = 8/22 x 12/21 = 16/77 (simplified)

How can you determine the distance between any two points on an axis
by using their distances from the origin?

DUE
NOW ⚠️

Answers

Answer:

d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points

Solve: Jackson earns $16 per hour. His expenses are $532 per month. Which
expression shows how much money he has left after his expenses? *
532x - 6
532x + 16
16x - 532
16x + 532

Answers

Answer:He works 40 hours each week at a rate of $16 per hour.

Step-by-step explanation:


A textbook store sold a combined total of 411 psychology and history textbooks in a week. The number of history textbooks sold was 69 less than the number of
psychology textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books

The length of a rectangle is 2 times the width of the rectangle. Let x represent the width of the rectangle.
Write an expression to represent the length of the rectangle.

Please no file just type the answer ASAP

Answers

Answer:

ok ASAP done ..... for it

Please help me! DO NOT SEND LINK!

Answers

The area of the rectangle is 40 cm.
To find this, just multiply 8 and 5.
Area: length times width
Area: 8 times 5
Area: 40 cm

The perimeter of the rectangle is 26 cm.
Perimeter: 2L + 2W
Perimeter: 2(8) + 2(5)
Perimeter: 16 + 10
Perimeter: 26
Hope this helps!

Answer:

Area is 40

perimeter is 26

Step-by-step explanation:

area = l×w

[tex]8 \times 5 = 40[/tex]

Perimeter = 2L +2W

[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]

If cos 0 = 1/2, find the degree measure of 0.​

Answers

Answer:

60°

Step-by-step explanation:

if you look on a unit circle the coordinates correspond to (cos, sin) so at 60° they are (1/2, √3/2)

Ethan is practicing kicking field goals before a football game. He starts by kicking from 22 yards and increases his distance by 3.5 yards
every minute. He uses the equation shown to find the distance of his kicks (y), in yards, after different numbers of minutes (x).
y = 3.5x + 22
After how many minutes will Ethan be kicking from 50 yards?
a 4
6 7
8
d 9

Answers

9 jrjffjfjfhehdjdjdjfkfkfkfk

This is part two go cheap the part one to understand

Answers

Answer:

8

24

3

yes

Step-by-step explanation:

the original area of the figure is  4 · 2 which equals 8.

Since the dilation that is needing to be done is by a scale factor of 3 then all we need to do is multiply the original area by 3, which gives us the new area 24.

So because the only transformation was a dilation that didn't significantly change the figure then we can say that both figures are similar.

pleas help me alot of points​

Answers

Answer:

12

Step-by-step explanation:

its a square all sides of the square are the same so 48 divided by 4 is 12

5 points is not a lot of points

Correct I’ll give brainlist no links or I’ll report

Answers

Answer:

[tex]y=10x\text{ or }y=10x+0[/tex]

Step-by-step explanation:

Slope-intercept form is given by [tex]y=mx+b[/tex].

Since Farmer Coraz purchases 10 items every month, he will have [tex]10\cdot x[/tex] items every [tex]x[/tex] months. Since he initially starts out with 0 items, at [tex]x=0[/tex], y is also equal to 0, and thus we have the final equation:

[tex]y=10x\text{ or }y=10x+0[/tex]

*Note: while slope-intercept form is [tex]y=mx+b[/tex], since the value of [tex]b[/tex] is 0, it is possible to omit it from the final equation and both answers should receive credit.

Divide X³ + 3x²−4x −12 by x +3. Choose any method​

Answers

Answer:

[tex]{x}^{2} (x + 3) - 4(x + 3) divided by x + 3[/tex]

Second step

[tex](x {}^{2} - 4)(x + 3) \div (x + 3)[/tex]

The (x+3) brackets cancel each other

Final answer is

[tex]x {}^{2} - 4[/tex]

Here is a list of numbers:
18, -4, -3, -19, 11, 1, -16 ,15 ,9 ,5
State the median.

Answers

Answer:

6

Step-by-step explanation:

To find the median you simply look for the number in the middle of the list.

In this particular case 1 and 11 are both the fifth number in the series of numbers. When this happens you have to add the two terms together (1+11) and divide by two       (12/2)=6

When would someone need a calculate area

Answers

Answer:

When measuring land size

Step-by-step explanation:

Answer: For a square or rectangular room, you will first need to measure the length and then the width of the room. Then multiply the length and width. Length x Width = Area. So, if your room measures 11 feet wide x 15 feet long, your total area will be 165 square feet.

Step-by-step explanation:

[tex]\sqrt{6}+\sqrt{6}[/tex]

please I need it fast with steps

Answers

Answer:

[tex]2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{6} +\sqrt{6} =2\sqrt{6}[/tex]

The explanation and solutions are in the picture (hope it help you understand

Explain why the graph shown may be misleading.

Answers

B is the most misleading because the amount of miles decreases. This would mean that the racer would have gone forward, then backward, then forward again.

Please help! Free 100 points because why not lol

Answers

Answer:

Hello there :)

to find your cordinates simply set everything according to 0 and solve the equation with -b +- square rooted by b ac over b (im sorry i forgot what this equation is called). using +, that is your x point, and solving for - that is your y point.

Step-by-step explanation:

Hope this helps you!

Have a terrific week :)

Answer: Thanks!!                            

Step-by-step explanation:

Help me out please???

Answers

Answer:

it's an equilateral triangle, so all the angles will be equivalent.

2x + 2x + 2x = 180

6x = 180

x = 30°

Answer:

30

Step-by-step explanation:

So, the solve this, lets first find the type of traingle it is.

Well, all the sides are equal, beign 3, so it must be a equalaterial triangle.

This means both the sides and angles will be the same.

Remember, there are 180 degrees in a triangle.

So we can think of it like this, since there are 3 angles, each being 2x:

6x=180 degrees

Now we can just get x alone by divide by 6:

x=30

So your answer is 30!

I hope this helps! :)

dexter has a total of 50 red, blue and green straws if he has 20 red straws, what fraction of dexter's straws are red?

Answers

Answer:

2/5

Step-by-step explanation:

20/50 is 2/5 simplified

Answer:

20/50=2/5

Step-by-step explanation:

The souvenir stand sells the hats for $11.75 each , the postcards for $0.25 each , and the magnets for $3.50 each . Write an expression for the total amount of money they would take in if they sold all the items

Answers

Answer:

9.2h+50

Step-by-step explanation:

im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer

Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2+14x-y-14=0

Answers

Answer:

the vertex is (-7, -63)

Step-by-step explanation:

x^2 + 14x - y - 14 = 0

x^2 + 14x = y + 14 (to isolate the x)

x^2 + 14x + 49 = y + 14 + 49

(x+7)^2 = y + 63

now we convert to vertex form, which is y = a(x – h)2 + k :

(x+7)^2 = y + 63

y = (x+7)^2 - 63

The vertex in vertex form is shown as (h, k) from y = a(x – h)2 + k, so in this case, h = -7 and k = -63. H is the x-coordinate as shown while k is the y-coordinate. Thus, the vertex is (-7, -63)

Anyone know this?? I’m confused..

Answers

Answer:

jgh

side side side axioms

not sure

Answer:

[tex]\triangle CAB\cong \triangle ONP[/tex]

Step-by-step explanation:

Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].

The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.

If a fair coin is tossed 8 times, what is the probability, to the nearest thousandth, of getting exactly 0 tails?

Answers

0.004 is the probability of getting exactly 0 tails :)

A rectangular prism holds 450 cm of water. What is the height of the prism, in
centimetres if the base is 15 cm x 10 cm?​

Answers

Step-by-step explanation:

see the photo for the answer

The box plot below summarizes the data for the average monthly high temperatures in degrees Fahrenheit for Orlando, Florida
70
75
80
85
90
95

The third quartile is
92
90
83
71

Answers

Answer: The Answer is 90, Girl Got it right !!

Step-by-step explanation:

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