A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house. ( Answer options A and B and show your work). Will Mark Brainliest if answered correctly. ( Do Not Repost Someone Else's Answers That's Already On Brainly And Any Other Websites Or You'll Be Reported). If you can't help please do not leave a response thank you. ​

A 10-foot Ladder Placed On Level Ground Leans Against The Side Of A House. The Ladder Reaches A Point

Answers

Answer 1

So

Let's see

sinA=Perpendicular/HypotenusesinA=9.2/10sinA=0.92A=sin^{-1}(0.92)A=66.9°

#B

So

We need base

cosA=Base/Hypotenusecos75=B/10B=10cos75B=2.58ft
A 10-foot Ladder Placed On Level Ground Leans Against The Side Of A House. The Ladder Reaches A Point
Answer 2

Answer:

a) 67°

b) 2.6 ft

Step-by-step explanation:

Part (a)

This problem can be modeled as a right triangle (see attachment 1), where the wall and the ground are the legs, and the ladder is the hypotenuse. Therefore, we can use the sine trig ratio to find the angle.

Trig Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = xO = wall = 9.2H = ladder = 10

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \sin(x)=\dfrac{9.2}{10}[/tex]

[tex]\implies \sf x=\sin^{-1}\left(\dfrac{9.2}{10}\right)[/tex]

[tex]\implies \sf x=67^{\circ}\:(nearest\:degree)[/tex]

Part (b)

(see attachment 2)

Let y be the distance the foot of the ladder and the foot of the building

We can find y by using the cos trig ratio:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 75°A = grounds = yH = ladder = 10

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \cos(75^{\circ})=\dfrac{y}{10}[/tex]

[tex]\implies \sf y=10\cos(75^{\circ})[/tex]

[tex]\implies \sf y=2.6\:ft\:(nearest\:tenth)[/tex]

A 10-foot Ladder Placed On Level Ground Leans Against The Side Of A House. The Ladder Reaches A Point
A 10-foot Ladder Placed On Level Ground Leans Against The Side Of A House. The Ladder Reaches A Point

Related Questions

A company has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=77000−5p^2

The price has been increasing by $7 per month. Find the rate at which revenue is changing when the price is $70. Note: the answer might be negative

Answers

Since the price has been increasing by $7 per month, the rate at which revenue is changing when the price is $70 is $24500/month

To answer the question, we need to know what revenue is

What is revenue?

This is the total price for the total amount of goods sold.

Revenue, R = px where

p = price and x = quantity = 77000 - 5p²

So, R = px

= p(77000 - 5p²)

= 77000p - 5p³

The rate at which the revenue is increasing

To find the rate at which the revenue is increasing with respect to price, we differentiate R with respect to p.

So, dR/dp = d(77000p - 5p³)/dp

= 77000dp/dp - 5dp³/dp

= 77000 - 15p²

The rate at which the revenue is changing with the price is $70

Substituing p = 70 into dR/dp, we have

dR/dp = 77000 - 15p²

dR/dp = 77000 - 15(70)²

= 77000 - 15(4900)

= 77000 - 73500

= 3500

The rate at which the revenue is changing per month

The rate at which the revenue is changing per month is

dR/dt = dR/dp × dp/dt where dp/dt = rate at which price is changing = $7 per month.

Now, dR/dt = dR/dp × dp/dt

So, dR/dt = 3500 × $ 7/month

dR/dt = $24500/month

So, the rate at which revenue is changing when the price is $70 is $24500/month

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Can you please graph it? (:

Answers

Graph what? Can you post the equation?

What is the approximate value of x in the equation below? log Subscript 5 Baseline 15 = x + 3

Answers

12=x ! Just subtract 3 from both sides.

What is the pair of fractions of 1/4 & 1/3

Answers

The pair of fractions 1/4 and 1/3 when evaluated is; 7/12.

What is the pair of fractions of 1/4 &1/3?

From the task content;

The addition of the pair of fractions 1/4 and 1/3 is required.

On this note, it follows that the common factor between the two fractions is used in evaluation.

This therefore follows that the pair of fractions is; 7/12.

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I am so confused please help and thank you.

Answers

Answer:

C. AC~= DF, FB~=CB

Step-by-step explanation:

In order use HL theorem you have to have two right triangles, which it's marked that you do. HL stands for Hypotenuse-Leg. So in order to use Hypotenuse-Leg you have to know that the hypotenuses are congruent on the two triangles and also a leg is the same on the two triangles. AC and DF are the two hypotenuse. And FB and CB are legs. You need those two congruent segment pairs in order to use HL theorem.

The solid below is made from 1 meter cubes.
Find its surface area.
Please help guys!

Answers

Answer:

The Answer is 8m square

Step-by-step explanation:

2m is the width

4m is the length

Answer:

52m²

Step-by-step explanation:

First since its only showing the front, top, and right side of the shape you count up all of the cubes you see.

Amount of cubes on each side:

Front: 6 cubes

Top: 8 cubes

Side: 12 cubes

6+8+12=26 cubes

But there is 6 sides total on the shape. Because we only did 3 sides, to get the final answer you multiply it by 2.

26×2=52

Final answer: 52m²

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x=8

Step-by-step explanation:

2x-5 = x+3

2x = x+8

x=8

[tex]\huge{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Important \: points:- }}}[/tex]

Here AB||CDnd hence opposite side in parallelogram are congruent.

[tex] \underline{ \boxed{ \sf{✰\: Let's\:Solve}}}[/tex]

[tex] \sf \: ↠x + 3 = 2x - 5 \\ \sf \:↠ arranging \: terms \\\sf \: ↠ - 2x - x - = - 5 - 3 \\ \sf \: ↠- x = - 8 \\\sf \: ↠ x = - ( - 8) \\\sf \: ↠ x = 8[/tex]

★ Hence x= 8

Hope it helps!

Hadeer decides to survey a random sample of students at her school about their favorite sport. There are 800 students in her school. Which of the following sample sizes would best represent the preferences of all the students at her school?

80 students

50 students

8 students

85 students

Answers

The best representation of the preferences of all the students at her school will be 80 students.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000.

The sample size will be calculated as:-

=   10 % of 800

=  800 x  0.1 = 80 students

Therefore the best representation of the preferences of all the students at her school will be 80 students.

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approximately what portion of the box is shaded blue? 2/10 2/5 2/3

Answers

You didn’t send an image so i’m just going to guess. I will guess 2/5

Congruent yes or no Congruent? ___________
If so, what property? ________

Answers

Answer:

Yes

Property: Scalene

Step-by-step explanation:

ask my friend

Jack Enough

After Halloween, Kyle had 4 3/8 bags of candy. If Kyle gives 1 7/8
bags of candy to his little brother, how many bags of candy will
he have left

Answers

Answer:

2 1/2

Step-by-step explanation:

To solve this, we subtract 1 7/8 from 4 3/8 because Kyle "gives" away his candy. The answer to this is 2 1/2.

Answer:

2.5 OR 3 1/2

Step-by-step explanation:

Well we can just do

4 and 3.8 minus 1 and 7/8

like how you would do on real problems

Do the same thing to fractions instead

Hope this helps! Im a real math expert

Tell me if anymore questions!

Factor the following expression.
x^2-14x+49

Answers

Answer: Heyaa! ~

Your Answer is... (x−7)² ,  Which is B.

Step-by-step explanation:

Factor using the perfect square rule!

Explanation:

A whole number that is the square of an integer. Example:

16 is a perfect square because 4⋅ 4 = 16.

Hopefully this helps you! ^^

Answer:

x^2 - 7x - 7x + 49

x(x - 7) - 7(x - 7)

(x - 7) (x - 7)

(x - 7)^2

PLEASE HELP PLEASE HELP PLEASE

Answers

Answer:

1:5

Step-by-step explanation:

2:10 = 1:5
Hope it helped !

I think 1:5 cuz if you add another 1 then it’s 2 and if you add another 5 then it’s 10.

:) Yur welcome

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables r = 0.123 What is the value of the coefficient of determination ? r ^ 2 = (Round to four decimal places as needed.)

Answers

The coefficient of determination is the square of the correlation coefficient, and the value is 0.0151

How to determine the coefficient of determination?

The given parameter is:

Correlation coefficient, r = 0.123

Rewrite as:

r = 0.123

Take the square of both sides

r² = 0.123²

Evaluate the square

r² = 0.015129

Approximate

r² = 0.0151

The coefficient of determination is represented by r²

Hence, the coefficient of determination is 0.0151

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The sum of the solution x^2-6x+5=0

Answers

Answer:

X=5

X=1

Step-by-step explanation:

2−6+5=0x

a = 1

b = -6

c = 5

=−(−6)±(−6)2−4⋅1⋅5√2⋅1

Try and challenge yourself with this question!

Answers

Answer:

216°..........................

How many different strings can be made from the letters in ORONO using some or all of the letters? (15 pts.)

Answers

The number of different strings that can be made from the letters in ORONO using some or all of the letters is 63

What is the number of permutations in which n things can be arranged such that some groups are identical?

Suppose there are n items.

Suppose we have

[tex]i_1, i_2, ..., i_k[/tex]

sized groups of identical items.

Then the permutations of their arrangements is given as

[tex]\dfrac{n!}{i_1! \times i_2! \times ... \times i_k!}[/tex]

We're given the word ORONO.

Case 1: One letter string:

3 ways: O, R, or N

Case 2: Two letter string:

Subcase: Consists O:

5 ways: OR, RO, ON, NO, OO

Subcase: Doesn't consist O:

2 way: RN, NR

Total permutation under this case = 5+2 = 7

Case 3: Three letter string:

Subcase: Consists 3 'O':

1 way: OOO

Subcase: Consists 2 'O':

6 ways: OOR, ROO, ORO, OON, NOO, ONO

Subcase:  Consists 1 'O':

6 ways: ORN, ONR, RNO, RON, NOR, NRO (or that there are 3 distinct letters to be arranged, which can be done in 3! = 6 ways)

Subcase: Doesn't consist O:

0 ways as only R and N cannot form three letter string.

Total permutation under this case = 1+6+6= 13

Case 4: 4 letter string:

Subcase: Consists 3 'O':

So, we've got {O,O,O,R,N}

3 'O's are mandatory, so fourth letter is either R or N:

O, O, O, R can arrange themselves in : [tex]4!/3! = 4 \: \rm ways[/tex] (as total 4 words but 3 are identical)

Similarly, O, O, O, N can arrange themselves in 4 ways,

So when 4 letter string from ORONO consists of 3 'O's, then total 4+4=8 distinct strings can be made.

Subcase: Consists 2 'O':

So, we've got {O,O,R,N}

The total permuations of these 4 letters, of which 2 are identital is:

[tex]\dfrac{4!}{2!} = 12[/tex]

Subcase:  Consists 1 'O':

0 ways: Single 'O' and one-one R and N cannot form four letter string.

Subcase: Doesn't consist O:

0 ways as only R and N cannot form four letter string.

Total permutation under this case = 8+12 = 20

Case 5: Five lettered string:

All 5 letters of ORONO would be used.

There are 3 identical objects, so total number of their permutation is:

5!/3! = 20

Thus, from all these cases, we conclude that:

Total permutations of string letters using some or all letters of ORONO is:

3+7+13+20+20 = 63

Thus,  the number of different strings that can be made from the letters in ORONO using some or all of the letters is 63

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Farmer Alice has a fruit stand at the farmer's market.
She has a total of 80 pieces of fruit.
Of the fruit, 20 pieces are apples. 1/5 are peaches.
The rest are oranges.
What fraction of the fruit are oranges?
Give your answer in simplest form.

Answers

80-20=40

1/5 of 40 =8

80-48=32

32 oranges

Four friends went to a drive-in diner for milkshakes. They each paid $4.41 for their milkshake, including a 5% sales tax. What was the total cost of the milkshakes before tax was added?

Answers

Answer:

17.64 easy math

Step-by-step explanation:

Consider the problem: After charging for 1/3 of an hour, a phone is at 2/5 of its full power. How long will it take the phone to charge completely?

Answers

Base on the given ratio, it will take the phone 5/6 hours to charge completely

How to determine the time to charge completely?

The given parameter can be represented as:

Ratio = Time : Proportion

So, we have:

Ratio = 1/3 : 2/5

To charge fully, we have:

Time : 1 = 1/3 : 2/5

Express as fraction

Time/1 = 1/3/ 2/5

Evaluate

Time = 5/6

Hence, it will take the phone 5/6 hours to charge completely

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Solve for x.

50
39
6
7

Answers

Answer:

x = 6

Step-by-step explanation:

Interior angles of a triangle sum to 180°

⇒ (8x + 2)° + 70° + 60° = 180°

⇒ 8x + 132° = 180°

Subtract 132° from both sides:

⇒ 8x + 132° - 132° = 180° - 132°

⇒ 8x = 48°

Divide both sides by 8:

⇒ 8x ÷ 8 = 48° ÷ 8

⇒ x = 6

Therefore, the value of x is 6.

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Apply angle sum property

8x+2+70+60=1808x+132=1808x=180-1328x=48x=6

Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.

Answers

Answer:

See below ~

Step-by-step explanation:

Details of the graph of the quadratic equation

Minimum value = -1Domain : all real numbersRange : y ≥ -1

A particular extension cord can support up to 8 amps. Martino has an iron whose label states 720 watts, and he wonders if the iron can be plugged into the extension cord. If watts are converted to amps by dividing by 144, how many amps does the iron use?

Answers

Answer:

Step-by-step explanation:

Remark

To convert watts to amps, divide the watts by the amps

Givens

720 watts

8 amps (maximum safety of extension chord)

144 conversion factor

Solution

Amps = 720 watts / 144

Amps = 5

Answer

The iron uses 5 amps of current.

The extension chord is safe to use since 5 is less than 8

Answer:

720÷144=5 AMPS

Step-by-step explanation:

5ANSWER

Mr Thando wants to build a garage.he went to local store obstain a quotation for the building material.below is the quotation from phindanani dealer

Answers

The computation of the quotation when Thando wants to build a garage will be $1700.

How to compute the quotation?

Your information is incomplete. An overview will be given based on the information. It should be noted that a quotation is given when one wants to construct a building.

Let's assume that the prices include:

Sand = $1000

Machinery work = $200

Building materials = $400

In this case, you simply have to add the values together.

= $1000 + $200 + $400

= $1700

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Hi I need help on this I've been working on it for about 20 minutes now please help :)

Answers

Answer:

V = 4 2/3 units ^3

Step-by-step explanation:

We are given the area of the back rectangle

V = BH where B is the area of the base

V = 3 1/3 * 1 2/5

Rewriting the mixed numbers as improper fractions

V = 10/3 * 7/5

V = 70/15

Simplifying

V = 14/3

Changing back to a mixed number

V = 4 2/3 units ^3

Write the equation for the line of best fit shown in the graph below. Show all your work.

Answers

Step-by-step explanation:

I guess we only need to read the details of the already shown line (and don't need to calculate it from the scratch).

usually I am looking for points with integer coordinates to elaborate the equation.

I see here

(0, 2)

(3, 4)

(6, 6)

(9, 8)

the line equation is

y = ax + b

a being the slope, which is "y coordinate change / x coordinate change" when going from one point to another.

and b being the y-intercept (the y value when x = 0).

we know b already from the first point (0, 2) : b = 2.

so, for the slope we use e.g. the first 2 points

(0, 2) and (3, 4)

x changes by +3 (from 0 to 3).

y changes by +2 (from 2 to 4).

so, the slope is +2/+3 = 2/3

and the line equation is

y = 2/3 x + 2

or

y = 2x/3 + 2

A bag contains 3 green marbles and 7 purple marbles.

a) Determine the fraction that are green marbles.

b) Calculate the percentage that are purple marbles.

Answers

Answer:

Below in bold.

Step-by-step explanation:

Total of 10 marbles in the bag.

a) Fraction that are green = 3/10.

b) Fraction that are purple = 7/10

= 100 * 7/10

= 90*7

=  70%

1. When selecting a sample for a survey, the way you choose your sample:
A:may lead to biased results.
B:is not important.
C:should always include people you can access conveniently.
D:will not change the results of the data.

Answers

Answer:

When selecting a sample for a survey, the way you choose your sample: A) may lead to biased results.

Step-by-step explanation:

The way you choose your sample matters a lot in order to help limit the bias in sampling data.

There are four types of random samples: simple, stratified, cluster, and systematic.

There are two types of non-random samples: voluntary response and convenience.

You always want to have a random sample in order to have accurate, non-biased results. Therefore, A) May lead to biased results is the best answer.

If the mean of nine values is 25, find the sum of the values

Answers

Answer:

Sum of nine values = 225

Step-by-step explanation:

mean=∑[tex](x_{1 } +x_{2} + ...x_{9})/9=25[/tex]

∑ = (25)(9) = 225

Hope this helps

FIND THE EXACT AREA OF THE SHADED PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

well, if we take the whole area of the circle, including the trapezoid in it, and then we get the area of the trapezoid and subtract it from that of the circle's, what's leftover is what we did not subtract, namely the shaded area.  Let's notice the circle has a diameter of 20, thus a radius of half that, or 10.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=12\\ b=20\\ h=8 \end{cases}\implies A=\cfrac{8(12+20)}{2}\implies A=128 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{circle}{\pi (10)^2}~~ - ~~\stackrel{trapezoid}{128}}\implies 100\pi ~~ - ~~128~~\approx~~186.16[/tex]

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