A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet. What is the height of the ladder?

A Ladder Is Placed 8 Feet Away From A Wall. The Distance From The Ground Straight To The Top Of The Wall

Answers

Answer 1

Answer:

17.89 ft

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 +16^2 = c^2

64+ 256 = c^2

320 =c^2

Taking the square root of each side

sqrt(320) = sqrt(c^2)

sqrt(64*5) = c

sqrt(64) sqrt(5) =c

8 sqrt(5) = c

17.88854382=c

17.89 ft

A Ladder Is Placed 8 Feet Away From A Wall. The Distance From The Ground Straight To The Top Of The Wall
Answer 2

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Given:-

A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet.

Find:-

What is the height of the ladder?

solution:-

A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet.

so it is a right angle triangle

we know that,

in a right angle triangle, According to the Pythagorean theorom,

[tex]\boxed{\sf{l^2+b^2=h^2 }}[/tex]

where

l= legs b=baseh=hypotenuse

According to the question, [tex]\sf{8^2+16^2=h^2 }[/tex]

[tex]\sf{64+256=h^2 }[/tex]

[tex]\sf{ h^2=320 }[/tex]

[tex]\sf{h=\sqrt{320} }[/tex]

[tex]\sf{h=8\sqrt{5} }[/tex]

Therefore:-

The height of the ladder is [tex]\sf{8\sqrt{5} }[/tex]

A Ladder Is Placed 8 Feet Away From A Wall. The Distance From The Ground Straight To The Top Of The Wall

Related Questions

How can 65% be broken down with friendly percents to find 65% of a number?

A. 25% + 25% + 10%
B. 25% + 10% + 10% + 10% + 10%
C. 50% + 10%
D. 50% + 25%
PLz Help Thx :>

Answers

Answer:

10%

Step-by-step explanation:

Answer:

given that the only one that actually adds up to 65%

is B....

B. 25% + 10% + 10% + 10% + 10%

Step-by-step explanation:

I need help with this math problem

GP ​

Answers

We have

(a + bx) / (a - bx) = (b + cx) / (b - cx)

==>   (a + bx) (b - cx) = (a - bx) (b + cx)

==>   ab + (b ² - ac) x - bcx ² = ab + (ac - b ²) x - bcx ²

==>   (b ² - ac) x = (ac - b ²) x

==>   b ² - ac = ac - b ²

==>   2b ² = 2ac

==>   b ² = ac … … … [1]

Similarly, you would find

(a + bx) / (a - bx) = (c + dx) / (c - dx)

==>   ad = bc … … … [2]

and

(b + cx) / (b - cx) = (c + dx) / (c - dx)

==>   c ² = bd … … … [3]

Now:

c ² = bd   ==>   b = c ² / d

b ² = ac   ==>   c = b ² / a

ad = bc   ==>   d = bc / a

and we find

d / c = (bc / a) / (b ² / a) = c / b

and

c / b = (b ² / a) / (c ² / d) = (b ² d) / (a c ²) = b / a

which is to say, the ratio between d and c is equal to the ratio between c and b, and also equal to the ratio between b and a. Therefore (a, b, c, d) are in a geometric progression.

Given a right triangle with an acute angle Θ , if sin Θ = cos Θ , describe what this triangle would look like.

Answers

For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles  triangle

Identify f? 6(3f - 15)

Answers

Answer:

[tex]6(3f-15)=90[/tex]

[tex]3f=90/6+15=30[/tex]

[tex]f=10[/tex]

---------------------------

Hope it helps...

Have a great day!!

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{6(3f - 15) = 90^\circ}\\\\\huge\text{DISTRIBUTE}\\\\\mathsf{6(3f) + 6(-15) = 90^\circ}\\\\\mathsf{18f - 90 = 90^\circ}[/tex]

[tex]\text{NEW EQUATION: }\mathsf{18f - 90 = 90}[/tex]

[tex]\huge\text{ADD 90 to BOTH SIDES}[/tex]

[tex]\mathsf{18f - 90 + 90 = 90 + 90}[/tex]

[tex]\textsf{CANCEL out: -90 + 90 because that gives the number of 0}[/tex]

[tex]\textsf{KEEP: 90 + 90 because it helps solve for the f-value}[/tex]

[tex]\mathsf{90 + 90 = \bf 180}[/tex]

[tex]\huge\text{NEW EQUATION:\textsf{ 18f = 180}}[/tex]

[tex]\huge\text{DIVIDE 18 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{18f}{18}=\dfrac{180}{18}}[/tex]

[tex]\mathsf{CANCEL \ out: \dfrac{18}{18}\ because \ that \ gives \ the \ number \ of\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{180}{18} \ because \ that \ gives \ the\ f-value \ result}[/tex]

[tex]\mathsf{f = \dfrac{180}{18}}[/tex]

[tex]\huge\text{SOLVE ABOVE \& YOU HAVE THE RESULT}[/tex][tex]\huge\text{OF THE F-VALUE}[/tex]

[tex]\mathsf{\dfrac{180}{18}}[/tex]

[tex]\mathsf{= \bf 18}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Therefore, your ANSWER is: \bf f = 10}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the slope between (-2,-2) and (0,-3)

Answers

Answer:

Step-by-step explanation:

x1 y1 x2 y2

-2 -2 0 3

ΔY 5

ΔX 2

slope= 2 1/2

B= 3

Y =2.5X +3

SEE QUESTION IN IMAGE

Answers

Answer:

Step-by-step explanation:

[tex]Mean=\frac{all.ages.added.together.of.all.kids}{total.number.of.kids}[/tex] Hopefully, that makes sense! To get the numerator of that problem, we take the number of kids and multiply it by the corresponding age and add them all together. To get the denominator, we add the total number of kids together. That will look like this mathematically, setting the mean equal to 14.44, as stated:

[tex]14.44=\frac{13(15)+14(42)+15X+16(10)+17(3)}{15+42+X+10+3}[/tex] and simplify that a bit to

[tex]14.44=\frac{195+588+15X+160+51}{70+X}[/tex] and a bit more to

[tex]14.44=\frac{994+15X}{70+X}[/tex] and cross multiply

14.44(70 + X) = 994 + 15X and

1010.8 + 14.44X = 994 + 15X and

16.8 = .56X so

X = 30

30 kids are 15 years old for the mean age to be 14.44

d.30

Answer:

Solution given:

x. [tex] \:\:\:[/tex] f. [tex] \:\:\:[/tex] fx

13. [tex] \:\:\:[/tex] 15. [tex] \:\:\:[/tex] 195

14.[tex] \:\:\:[/tex] 42 [tex] \:\:\:[/tex] 588

15. [tex] \:\:\:[/tex] x. [tex] \:\:\:[/tex] 15x

16. [tex] \:\:\:[/tex] 10. [tex] \:\:\:[/tex] 160

17. [tex] \:\:\:[/tex] 3. [tex] \:\:\:[/tex] 51

. n=70+x. [tex]\sum[/tex]=994+15x

we have

mean=sum/n

14.44=[tex]\bold{\frac{\sum}{n}}[/tex]

14.44=[tex]\bold{\frac{994+15x}{70+x}}[/tex]

doing crisscrossed multiplication

(70+x)*14.44=994+15x

1010.8+14.44x=994+15x

15x-14.44x=1010.8-994

0.56x=16.8

x=16.8/0.56

x=30

Tom received a $70 gift card for a cafe. He used it to buy some coffee that cost $7.73 per pound. After buying the coffee, he had $23.62 left on his card. How many pounds of coffee did he buy.

Answers

Answer: He bought 6 pounds of coffee.

Step-by-step explanation:

Money he have = 70

money he used to buy = 70.00 - 23.62 = 46.38

so

7.73 dollar = 1 pound

1 dollar = 1/(7.73) = 100/773 pound

46.38 dollar = (100/773) * 46.38 = 6 pound

Be sure to show your work and solve for e:

17 + e + 11 = 56

Answers

Answer:

E = 28

Step-by-step explanation:

17 + e + 11 = 56

Add 17 + 11

17 + 11 = 28

Subtract 28 from 56

56 - 28 = 28

E = 28

Can someone help me in this plz

Answers

Answer:

a =2 5

b =50

Step-by-step explanation:

Can someone Answer this

Answers

Answer:

tan x = c/b

cos x = b/a

sin x = c/a

Step-by-step explanation:

an easy way to memorize it would be SOH CAH TOA

SOH = sin, opposite, hypotunese

-- you find the angle and you divide it's opposite and hypotunese when it asks for sin

CAH = cos, adjacent, hypotunese

-- you find the angle's adjacent side and hypotunese, then divide

TOA = tan, opposite, adjacent

-- you find the angle's opposite side and divide it by the adjacent side

Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.

Answers

Answer:

c = 21

Step-by-step explanation:

**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**

If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.

PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.

With that in mind, we can apply this ratio to find WX.

We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.

c = 21

Hope this helps (●'◡'●)

If there are 7,674,000,000 people in the world and 80,000 of them have a Reh, what is the probability at least one person has a Reh out of a random group of 3000 people?

Answers

Answer:

its not 80k/3000 someone answer

Step-by-step explanation:

Hi I need help with this question please!!! I don’t understand it :/

Answers

Answer:

- 22.5

Step-by-step explanation:

Substitute x = 3 into f(x) and x = 16 into h(x) , then

[tex]\frac{1}{2}[/tex] g(3) - h(16)

= [tex]\frac{1}{2}[/tex] × - 3(3)² - (2[tex]\sqrt{16}[/tex] + 1)

= [tex]\frac{1}{2}[/tex] × - 3(9) - (2(4) + 1)

= [tex]\frac{1}{2}[/tex] × - 27 - (8 + 1)

= - 13.5 - 9

= - 22.5

The above answer is correct. Great job

Would appreciate the help please!

Answers

Answer:

DF

Step-by-step explanation:

The side opposite the largest angle has the longest measurement

<E has  the largest measurement so DF is the longest side

Which of the following statements best defines a sample space?

A.
A sample space is one particular outcome for a given situation.
B.
A sample space is the set of all possible outcomes for a given situation.
C.
A sample space is one particular situation for a given outcome.
D.
A sample space is the set of all possible situations for a given outcome.

Answers

Answer:

i guess Bis the answer bcuz, A sample space is a collection or a set of possible outcomes of a random experiment

Statement B is correct, which best defines the sample space that is " a sample space is the set of all possible outcomes for the a given situation".

What is sample space  in probability?

A sample space is a collection or a set of possible outcomes of a random experiment. It is represented by using the symbol "s".

For example,

When we flip or toss a coin, two outcomes are possible such as head and tail. Therefore the sample space for this experiment is given as

Sample space, S = {H, T} = {Head, Tail}

According to the given option

Option B is correct. That is a sample space is the set of all possible outcomes for a given situation.

Learn more about sample space here:

https://brainly.com/question/17144524

#SPJ2

... 2.........5
16--- + 6---
.....3.........8


I need this answer fast pls​

Answers

Answer:

what is that? I can't understand it.

the answer is 23 and 7/24

the product of 7 and 6

Answers

Step-by-step explanation:

7 × 6 = 42 Answer

hope it helps

HHHHELP ME!!!!!! PLZ

Answers

Total gasoline = 10 gallons

Gasoline left after 100 miles = 5 gallons

Gasoline used in 100 miles

= Total gasoline - Gasoline left after 100 miles

= 10 gallons - 5 gallons

= 5 gallons

Gasoline used in 1 mile

= Gasoline used in 100 miles/100

= 5 gallons/100

= 0.05 gallons

Instructions: Find the lengths of the other two sides of the isosceles right triangle below.

Answers

Given:

The ratio of 45-45-90 triangle is [tex]x:x:x\sqrt{2}[/tex].

The hypotenuse of the given isosceles right triangle is [tex]7\sqrt{2}[/tex].

To find:

The lengths of the other two sides of the given isosceles right triangle.

Solution:

Let [tex]l[/tex] be the lengths of the other two sides of the given isosceles right triangle.

From the given information if is clear that he ratio of equal side and hypotenuse is [tex]x:x\sqrt{2}[/tex]. So,

[tex]\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]

[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=l[/tex]

[tex]7=l[/tex]

Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.

For every paper boat that Lina makes Harry can make 2 paper boats if they make 117 paper boats altogether how many paper boats does Harry make

Answers

Answer:

78

Step-by-step explanation:

For every 1 bout Lina makes, Harry makes two boats.

1 + 2 is 3.

117 divided by 3 = 39, which is how many boats Lina made.

39 x 2 = 78, which is how many boats Harry made.

To check our answer, 39 + 78 = 117, which is how many boats they made altogether, so the answer is correct.

Answer:

78

Step-by-step explanation:

My knowledge!!

Hope it helps!

Which of the following is the product of the rational expressions shown
below?
3
2x
O A.
21
2x + 4
21
2x2 + 4x
O c.
42
2x + 4
D.
42
2x² + 4x

Answers

Answer:

The answer is "B"

Step-by-step explanation:

The explanation is in the picture!

Help, please, I'll give brainliest

Answers

240 seats per row I dont have explaination option so hope its helpful

36. Factorize x-12x + 20​

Answers

hope this helps! feel free to clarify

Can someone help me with this math homework please!

Answers

Answer:

(A, B, D)

Step-by-step explanation:

Let's evaluate each answer choice:

"The independent variable is the number of people"

Correct. The number of people is independent and DOESN'T depend on the total cost to change.

"The initial value (initial fee) for the pinic is $40"

Correct. In this table, every 3 people increases the cost by $6. So that means 6 people would increase the cost by $12. From the first row of 6 people and $52, if we "subtracted" 6 people and "subtracted" $12, we would get a value of 0 people with a total cost of $40.

"The rate of change is $8.67 per person"

Wrong. To find the rate of change (also called slope), use this method below:

(y_2 - y_1)/(x_2 - x_1)

(6, 52) (9, 58)

x_1 = 6

x_2 = 9

y_1 = 52

y_2 = 58

(58 - 52)/(9-6)

6/3 = 2

The rate of change is 2, not 8.67.

"As the number of people increases, the total cost of the picnic increases."

Correct. As you can see in the table, as the number of people increase (6, 9, 12, 15), the total cost increases as well (52, 58, 64, 70).

"If 4 people attended the picnic, the total cost would be $46."

Wrong. In one of the previous answer choices, we found out that the rate of change, or the cost per person at picnic, is $2, and the intial fee is $40. From this info, we can form this equation:

y = 2x + 40

And if we plug in 4 people into this equation, we DON'T end up with total cost of $46:

2(4) + 40

8 + 40 = 48

The total cost for 4 people is $48, NOT $46

Hope this helps (●'◡'●)

From the diagram below, of the distance between the tree and point B is 125 meters, and the angle of depression from the top of the tree to point B is 46 degrees, how tall is the tree in meters? (round to the nearest whole meter)

Answers

Answer:

a. 129 meters

Step-by-step explanation:

The given parameters of the tree and the point B are;

The horizontal distance between the tree and point B, x = 125 meters

The angle of depression from the top of the tree to the point B, θ = 46°

Let h represent the height of the tree

The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point B is parallel to the horizontal distance from the point B to the tree, therefore;

The angle of depression = The angle of elevation = 46°

By trigonometry, we have;

tan(θ) = h/x

∴ h = x × tan(θ)

Plugging in the values of the variables gives;

h = 125 × tan(46°) ≈ 129.44

The height of the tree, h ≈ 129 meters

Find the volume of the following figures.

Answers

Answer:

Solution given:

radius [r]=3ft

height[h]=5ft

Volume of cone=⅓*πr²h

$ubstitute value

Volume of cone =⅓*3.14*3²*5=47.1ft²

Volume of cone is 47.1ft²

HELPP PLEASEEEEEEEEEEE

Answers

Answer:

A) 14

B) 48

Step-by-step explanation:

[tex]x^{a}[/tex] · [tex]x^{b}[/tex] = [tex]x^{a+b}[/tex]

[tex](x^{a}) ^{b}[/tex] = [tex]x^{ab}[/tex]

The cost per hour of running an assembly line in a
manufacturing plant is a function of the number of
items produced per hour. The cost function is
C(x) 0.3x2 – 1.2x + 2, where C (x) is the cost per
hour in thousands of dollars, and x is the number of
items produced per hour, in thousands. Determine
the minimum production level, and the number of
items produced to achieve it. Include a final written
statement.

Answers

Answer:

the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

Step-by-step explanation:

if there is no mistake in the problem description, I read the following function :

C(x) = y = 0.3x² - 1.2x + 2

I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.

the first derivative of C(x) is

0.6x - 1.2 = y'

0.6x - 1.2 = 0

0.6x = 1.2

x = 2

C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8

so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

??? Help plssssss appreciate it if u help

Answers

D 7 centimeters

Hopefully it like you

If a = 1/2, then a^2=
(A) -1
(B) 4
(C) 0
(D) 1

Answers

Answer:

1/4

Step-by-step explanation:

a^2

Let a= 1/2

(1/2)^2

(1/4)

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{a^2}\\\\\mathsf{= \ (\dfrac{1}{2})^2}\\\\\mathsf{= \ \dfrac{1}{2}\times\dfrac{1}{2}}\\\\\mathsf{= \ \dfrac{1\times1}{2\times2}}\\\\\mathsf{= \ \bf \dfrac{1}{4}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, the ANSWER is: }\boxed{\mathsf{\bf \dfrac{1}{4}}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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