A ladder 17m long rests against a vertical wall. The foot of the ladder is 8m away from the base of the wall. How high up the wall will the ladder reach?

Answers

Answer 1

Answer:

So the high of the of the wall will be, 15m

Step-by-step explanation:

You can use Pythagoras theorem, c^2=a^2+b^2.

Take the length of the ladder as c, the foot of the ladder as (a), and the high of the wall as (b).

So :

c^2=a^2+b^2

(17m)^2= (8m)^2+ b^2

289m^2 = 64m^2 + b^2

289m^2 - 64m^2 = b^2

225m^2 = b^2

[tex] \sqrt{225m \:} = b[/tex]

15m = b


Related Questions

1.


Which inequality statement best represents the graph?


A. f(x) ≥ –x2 – x – 1


B. f(x) ≤ –x2 – x – 1


C. f(x) ≥ x2 – x – 1


D. f(x) ≤ x2 – x – 1

Answers

Answer:

f(x) ≤ x2 – x – 1

Step-by-step explanation:

Answer:

The graph will have opposite x-intercepts of b and –b and be symmetrical about the y-axis. The graph will have a y-intercept at –b2.

Step-by-step explanation:

i don't have the step by step explanation but that answer is also right

the x intercepts are b and b

the graph has opposite x intercepts

the graph is symetrical  over the y axis

the y intercept is at b²

Answer:

f(x) ≤ x2 – x – 1

Suppose you want to save $1000 for a down payment on your first car purchase. You have $750 right now. You invest it in an account that pays %5 annually. How many years will it take until you have enough for your down payment.

Answers

Answer:

6 years

Step-by-step explanation:

750+5%=787.5  (repeat add 5% to the sum of the previous till you reach 1000)

!!!REMEMBER TO GIVE BRAINLIEST IF THIS HELPED!!!

Need help asap NO LINKS!!!
Mark as brainllest who ever gets it right

Answers

Answer:

73384 kilotons

Step-by-step explanation:

=> Total amount the 1st year = 90,000

=> Since after the 1st yr, there was a reduction of 4%, so 100% - 4% = 96% or 0.96

=> Total time = 6

We know that the formula of a geometric sequence is;

aₙ = a₁ * r⁽ⁿ⁻¹⁾

In which;

aₙ = the value that has to be figured out (in this case it would be a₆)a₁ = the first term of the sequence (in this case it would be 90,000)r = common ration (in this case it would be 0.96)n = given time (in this case it would be 6)

Therefore we can finally say;

=> aₙ = a₁ * r⁽ⁿ⁻¹⁾

=> a₆ = 90,000 * 0.96⁶⁻¹

=> a₆ = 90,000 * 0.96⁵

=> a₆ = 73383.54

=> a₆ = 73384 (Rounded to the nearest whole number)

Therefore, rounding the answer to the nearest whole number, the answer would be; 73384 kilotons

Hope this helps! (Btw big shout out to jcherry99 for helping me figure this out!!)

Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)

Answers

The graph of y = 3x + 1 lies in quadrants I and III. The graph of the equation y = 3x + 1 is a straight line with a positive slope.

To determine the quadrants in which the graph lies, we need to analyze the signs of the x and y coordinates in different regions of the coordinate plane.

Quadrant I: In this quadrant, both the x and y coordinates are positive. When we substitute positive values for x into the equation, we obtain positive values for y. Since the slope is positive, the line rises as we move from left to right. Therefore, the graph lies in quadrant I, where both x and y are positive.

Quadrant III: In this quadrant, the x coordinate is negative, while the y coordinate is positive. If we substitute negative values for x into the equation, we still obtain positive values for y. The positive slope ensures that the line rises from right to left. Hence, the graph also lies in quadrant III.

The graph does not pass through quadrants II and IV because the signs of the coordinates do not align with the equation. In quadrant II, the x coordinate is negative, but the y coordinate is negative as well. In quadrant IV, both the x and y coordinates are positive, which contradicts the equation. Therefore, the graph of y = 3x + 1 is confined to quadrants I and III.

For more questions on quadrants

https://brainly.com/question/1548800

#SPJ8    

DO IT ASAP! Thank you very much!

Answers

Answer:

a = 5

Step-by-step explanation:

According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder

In this case, the remainder would be zero

So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0

So we have this as;

x + 2 = 0

x = -2

-2^3 -2(-2)^2 -2(a) + 6 = 0

-8-8-2a + 6 = 0

-16 + 2a + 6 = 0

2a -10 = 0

2a = 10

a = 10/2

a = 5

You have 90 degree triangle and the adjacent is 24, the opposite is 32, and the hypotenuse is 40. What is the value of tan W rounded to the nearest hundredth, if necessary.

Answers

Answer:

sorry need points Step-by-step explanation:

sorry need points sorry need points

A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang off by 1 foot all around the pool?

Answers

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

A.)90
B.)41
C.)15
D.)83

Answers

Answer:

D

Step-by-step explanation:

∠ABC= ∠DBE (vert. opp. ∠s)

(6x -7)°= (4x +23)°

6x -7= 4x +23

Being x terms to 1 side, constant to the other:

6x -4x= 23 +7

Simplify:

2x= 30

Divide both sides by 2:

x= 15

Substituting the value of x:

m∠ABC

= 6(15) -7

= 83

Which postulate proves these triangles are similar? (giving brainliest and thanks to all!)

Answers

It’s SAS. Hope I helped sorry if I got it wrong

What is an equation of the line that passes through the points
(
0
,

4
)
(0,−4) and
(

4
,
6
)
(−4,6)?

Answers

Answer:

[tex]y=-\frac{5}{2}x-4[/tex]

Step-by-step explanation:

[tex]slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}[/tex]

[tex]y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4[/tex]

Jake buys an oven and discovers that its temperature can vary out to 2.5 Fahrenheit from his settings. If Jake set the temperature to 345 Fahrenheit to bake a cake, from an inequality to represent the possible temperatures of the oven, tea, and degrees Fahrenheit. Then determine the range of possible temperatures when the oven is set at 345 Fahrenheit. Select a correct any quality and range on the table

Answers

Answer:

Answer in the image

(First correct will get brainiest) Find AC

Answers

Answer:

thie dissrespect man or woman

Step-by-step explanation:

add 13 + 26 = 39

Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31

Answers

Answer:

39.2 is the mean

the deviation is 15.2

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms = 39.2

the deviation measures the spread of a data distribution of the sample = 15.2

Answer:

10.8

Step-by-step explanation:

To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.

After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.

16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.

this is the question I need help with​

Answers

Answer:

brainllest if right

b

Step-by-step explanation:

The answer is A

Explanation: 9-(-12) is equal to positive 21.

12+9 is equal to positive 21.

If 8n = -40, then n =​

Answers

Answer:

n=-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

8n=-40

n=-40/8

n=-5

Given complex numbers z^1= 12 + 6i and 2=-8+ 2i, find z^1+ z^2.

a.20 +4i
b.-4+4i
c. 10 - 2i
d. 4+8i

Answers

Answer:

answer is a 20+4i

Step-by-step explanation:

PLS HELP ILL MARK AS BRAINLESS

Answers

Answer:

D. The trench has become shallower because -32 is farther from 0 on a number line than -27

Answer: D

Step-by-step explanation: -27 is closer to zero than -32. Since these numbers were negative and the depth of the trench went from -32 to -27, we can assume that the trench had gotten more shallow.

I hope this helps!

what is the answer help me pls ASAP

Answers

um try c but i’m just guessing sorry

can someone help me asap pls :)

Answers

Answer:

Step-by-step explanation:

28 and 62 is what to fill both of the boxes with

Consider the transformation f(x) = 1/5 (5^1/2+3) - 6

a) Describe the transformations that are applied to the base function.

b) State the y-intercept.

c) State the equation for the asymptote.

d) State the domain and range.

Answers

The answer is C i think

. Determine f(4.5) for the function f(x) = 3x - 5 *

Answers

Algebra

f(4.5)=8.5

Plug in x as 4.5 and multiply it with 3. Then subtract 5 from the remaining result.

Answer:

f(4.5) = 8.5

Step-by-step explanation:

f(4.5) = 3x - 5

f(4.5) = 3(4.5) - 5

f(4.5) = 13.5 - 5

f(4.5) = 8.5

Hope that helped! You have to substitute x with 4.5 and then solve.

Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?


WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH

Answers

Answer:

12

Step-by-step explanation:

The answer is 12 hope this helps

Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tenth.

Answers

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

[tex]d = \sqrt{ {10}^{2} - {5}^{2} } \\ = \sqrt{100 - 25} \\ = \sqrt{75} \\ = 8.66025404 \\ = 8.7 \: units[/tex]

how do you find circumstance of a circle using the area? please help!

Answers

Answer:

Step-by-step explanation:

The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation.

Please help me with my work

Answers

321 because you need to use the formula

Answer:

[tex]9600 \: {ft}^{2} \\ [/tex]

Step-by-step explanation:

Area of front rectangle -

= 2 ( length × breadth )

= 2 ( 40 × 30 )

= 2 ( 1200)

[tex] = {2400 \: ft}^{2} \\ [/tex]

Area of other rectangles -

= 4 ( length × breadth )

= 4 ( 60 × 30 )

= 4 ( 1800)

[tex] = 7200 \: {ft}^{2} \\ [/tex]

Surface area of the rectangular prism

[tex] = {2400 \: ft}^{2} + {7200 \: ft}^{2} \\ = {9600 \: ft}^{2} \\ [/tex]

WILL GIVE BRAINLIEST !!!

A hiker in Africa discovers a skull that contains 63% of its original amount of C-14. Find the age of the skull to the nearest year.

Answers

Honestly and respectfully plus honestly
I do not know
All I know what as the hiker doing to find a skull and y did the homie just fine
A random head and just take it home and then decide to study it?
Like I know it’s school but someone wrong with the hiker tbh
Like if he was looking for it
Or was a murder that he did a few years back
You never know
Stay woke.

What is the surface area of this right cone?

Answers

Answer:

Step-by-step explanation:

Slant height s = 12

Radius r = 8

Lateral area of cone = πrs = 96π units²

Base area of cone = πr² 64π units²

Surface area = 96π + 64π = 160π units²

Find (from (3)

f(x) = x^2 - x

Answers

Answer:

I think the answer is 6.......

Find the area of this circle. Use 3.14 for . 84in

Answers

Answer:

22155.84 in

Step-by-step explanation:

r = 84 in

π = 3.14

then area if circle = r² × π

… A = 84² × π = 22155.84 = ( 22.15584 min )

Question I need to Answer: How many beats can a heart pound in 20 minutes?

Answers

Answer:

1300

Step-by-step explanation:

4 times 5 = 20

260 times 5 = 1300

Answer:

1300 times

Step-by-step explanation:

195 is is 3 X 65 so dividing 195 by 3 gets you 65

65 X 20 = 1300

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