A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Camden grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:

The ladder will reach a height of 9.8 foot

Step-by-step explanation:

Given

Initial Position

[tex]L = 25ft[/tex] --- Length of the ladder

[tex]h = 15ft[/tex] --- height against the wall

New position

[tex]L = 25ft[/tex] --- Length of the ladder

[tex]B = 3ft[/tex] --- 3 feet farther from the wall

Required

Determine the new height the ladder will reach

The question is illustrated using the attached image.

Where

[tex]\triangle ABC[/tex] represents the initial position of the ladder

[tex]\triangle DBE[/tex] represents the new position of the ladder

The new height is represented with BD

Using Pythagoras theorem on [tex]\triangle DBE[/tex]

[tex]DE^2 = BE^2 + BD^2[/tex]

[tex]BE = BC + CE = 20 + 3 = 23[/tex]

[tex]BD = x[/tex]

[tex]DE =25[/tex] --- length of the ladder

So, the expression becomes

[tex]25^2 = 23^2 + x^2[/tex]

[tex]625 = 529 + x^2[/tex]

Collect like terms

[tex]x^2 = -529 + 625[/tex]

[tex]x^2 = 96[/tex]

Take positive square roots of both sides

[tex]x = \sqrt{96[/tex]

[tex]x = 9.8ft[/tex] --- approximated

A 25 Foot Ladder Is Set Against The Side Of A House So That It Reaches Up 15 Feet. If Camden Grabs The
Answer 2

Answer:

9.8 FT

Step-by-step explanation:

its right


Related Questions

someone help please :(

Answers

Answer:

D

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then

g(x + 3)² is the graph of f(x) translated 3 units left

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then

g(x) = g(x + 3)² - 7 is the graph of f(x)

Translated 3 units left and 7 units down

HELP! I HAVE NO IDEA HOW TO DO IT <3​

Answers

Answer:

TY

Step-by-step explanation:

Nice

Thanks for the free Poi nts!

WILL MARK BRAINLIEST!!
Find the values of x and y

Answers

Answer:

Y = 5.8

X = 2.887

Step-by-step explanation:

to get X

[tex] \tan( 30 ) = \: \frac{x}{5} \\ x = \tan(30) \times 5 \\ x = 2.887[/tex]

to get Y

using pythagoras theorem [tex] {y}^{2} = {2.88}^{2} + {5}^{2} \\ \\ {y}^{2} = 8.33 + 25 \\ \\ y = \sqrt{33.33} \\ y = 5.8[/tex]

Answer:

y - 5.8

x - 2.887

pleasee mark Brainliest

= Simplify the following algebraic expressions given below into their equivalent standard forms.

(x + 10)(x + 10)

Answers

Answer:

https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20

Step-by-step explanation:

Erica babysits for 4 1/2 hours and is paid $27 . If the people she babysits for have $31.50 to pay her, how long can they stay out?

Answers

Answer:

5.25 hours or 5 1/4 hours

Step-by-step explanation:

According to the scenario, calculation of given data are as follows,

Total time = 4 1/2 hours or 270 mins

Total payment = $27

First we calculate the time for $1, then

So, $27 = 270 mins

$1 = 270 ÷ 27 = 10 mins

Now, we can calculate total time in $31.50 by using following formula,

Total time in $31.50 = 10 mins × 31.50

= 315 mins

= 5.25 hours or 5 1/4 hours

The formula to find the zero of linear polynomial in the form of y=ax+b is

Answers

Oten oten oten oten

Answer:

X = - b / a

Step-by-step explanation:

point 1 and -2 lies in the dash quadrant​

Answers

Given:

The point is (1,-2).

To find:

The quadrant in which the point (1,-2) lies.

Solution:

We know that,

In first quadrant, both coordinates are positive, i.e., (x,y).

In second quadrant, x coordinate is negative but the y-coordinate is positive, i.e., (-x,y).

In third quadrant, both coordinates are negative, i.e., (-x,-y).

In fourth quadrant, x coordinate is positive but the y-coordinate is negative, i.e., (x,-y).

Where, x and y are two non-negative values.

In the given point (1,-2) the x coordinate is positive but the y-coordinate is negative.

Therefore, the point (1,-2) lies in fourth quadrant.

Find the area of the trapezoid.

Answers

Answer:

78 ft squared

Step-by-step explanation:

To find the area of trapezoid, we could use this formula:

.5*height*(sum of bases)

We know both the base lengths. They are 10 and 16 ft.

The height can be found by looking at that right triangle whose base is (16-10) ft or 6 ft.

So we want to find the height which is opposite the 45 degree angle and we have the adjacent side's measurement of 6ft.

This has the tangent ratio written all over it since tangent of an angle is opposite side's measurement over adjacent side's measurement.

tan(45)=height/6

1=height/6

6=height

6ft=height

The answer is:

.5*height*(sum of bases)

.5*6 ft*(10 ft+16 ft)

3 ft(26 ft)

78 ft squared

Note: That one right triangle is an isosceles right triangle so we didn't need trigonometry.

A recipe for trail mix is shown below. 1 1/4 cups granola • 1/2 cup peanuts 1 / 4 cup raisins •1/8 cup chocolate chips Darnell wants to make of the recipe. How much granola, in cups, should he use?​

PLEASE HELP ME ASAP YOU GET 10 POINTS FOR THE ONE WHO HELPS ME FIRST

Answers

Answer:

0.875 or 7/8

Step-by-step explanation:

you divide 1/2, 1/4, 1/8 into their decimal form and you add them all up into 0.875 and you turn it into its fraction form and get 7/8

It is Marcie's first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space? 1/6 1/3 1/2 2/3

Answers

Answer:

[tex]P(Not\ Star) =\frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Theoretical probability that a roll will not land on a star

From the attachment, we have:

[tex]n = 12[/tex] --- Total space

[tex]Star = 4[/tex]

So, the theoretical probability that a roll will land on a star is:

[tex]P(Star) = \frac{n(Star)}{n}[/tex]

[tex]P(Star) = \frac{4}{12}[/tex]

[tex]P(Star) = \frac{1}{3}[/tex]

Using the complement rule, the probability that it will not land on a star is:

[tex]P(Not\ Star) = 1 - P(Star)[/tex]

[tex]P(Not\ Star) = 1 - \frac{1}{3}[/tex]

Take LCM

[tex]P(Not\ Star) =\frac{3-1}{3}[/tex]

[tex]P(Not\ Star) =\frac{2}{3}[/tex]

Answer:

Look at the photo below

Step-by-step explanation:

What is the circumference and area of a circle with a radius of 16 QUICK

Answers

Circumference — 100.531
Area — 804.248

help i’m confused‍♀️ kinda forgot what a inequality is over quarantine lol

Answers

Answer:

t ≤ 10

Step-by-step explanation:

To solve the inequality, simplify it.

-3t + 9 ≥ -21

Subtract 9 from both sides.

-3t ≥ -30

Divide by -3. When dividing by a negative, flip the inequality sign.

The answer is C, t ≤ 10.

Which shows [tex]4^{6}[/tex]÷[tex]4^{5}[/tex] in standard form?

A. 0
B. 1
C. 4
D.16

Answers

The

Answer:

is

Step-by-step explanation:

C. 4

Exponents first

You go completely unprepared for a multiple choice quiz. The quiz has five questions, each with four answer choices. Describe a simulation that you could use to determine the experimental probability of guessing all five questions correctly.

Answers

Answer: I feel d.u.m.b. when there's a genius here  

Most likely your gonna fail

Average 50-75 range

Step-by-step explanation:

Mostly luck in this percentage thou

Thats common sense

Answer:

Step-by-step explanation:

Computer languages love this kind of question. You could run it a million times and the computer would bring back an answer in under 10 seconds.

Let us suppose that 4 is the correct answer for all 5 questions.

Run the simulation 1000000 times. There is only 1 answer that is acceptable

select a random number from 1 to 4

do this 5 times

If all five random numbers are 4 then add 1 to counter which keeps track of the number of times 4 was chosen 5 times (it will be pretty small).

End by displaying the number of times 4 was chosen 5 times

Divide by 1 million.  

In running the simulation, I described using Delphi it ran the simulation in under 1 second. That is, took the test 1 million times.

I'm going to save this answer and if I can edit the  question I'll tell you what I got. If not, I suppose I could put it in a comment.

The experimental answer I got was 993 which is awfully close to 1/1000 which is approximately the theoretical answer. So my simulation that I described will work really well.

The theoretical answer is

1/4  *  1/4  * 1/4 * 1/4 *1/4 = 1 / 1024  So actually 1/1000 (which my simulation nearly got) is really kind of close.

There are other ways of doing this simulation.

What is the decimal equivalent of Two-sixths?

0.3
0.3
0.6
0.6

Answers

The answer is correct answer is b

There are 144 square inches in 1 square foot. How many square inches are in 2.5 square feet?

Answers

Answer:

360 square inches

Step-by-step explanation:

There are 360 square inches in 2.5 square feet.

To find out how many square inches are in 2.5 square feet, we need to multiply the number of square feet by the conversion factor.

Given that there are 144 square inches in 1 square foot, we can set up a proportion to solve for the number of square inches in 2.5 square feet:

1 square foot = 144 square inches

2.5 square feet = x square inches

Setting up the proportion:

1 square foot / 144 square inches = 2.5 square feet / x square inches

Cross-multiplying the proportions:

(1 square foot) x square inches = 144 square inches  (2.5 square feet)

Simplifying the equation:

x square inches = 144 square inches (2.5 square feet)

Multiplying the values:

x square inches = 360 square inches

Therefore, there are 360 square inches in 2.5 square feet.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ6

Using the x-values 3, 5, 8, which of the T-tables represents the ordered pairs solving y = 3.5x - 2?

Answers

Answer:x=4/7
Step by step explanation
I used photo math

Answer: you are given the equation 3.5x - 2 so you will plug in your x-values (3,5,8)

Step-by-step explanation:

1. 3.5(3)-2

2. 3.5(5)-2= 15.5.

3. 3.5(8)-2 =26

~This is your table ~

X-3 Y-8.5

X-5 Y-15.5

X-8 Y-26

I tried to explain it on here. Good luck !!

Hello! I need a bit of help with this problem.

Answers

Answer:

I'm pretty sure it's 15 for orange and 30 for blue

6).
24 eggs are needed to make omelets for 8 people, how many eggs
are needed to make an omelets for 6 people?

Answers

Answer:

18 eggs

Step-by-step explanation:

first we divide 24 by 8 to see how many eggs are in one omlete

24/8=3

Now we take 3 times 6 ( because there is 6 people you are making it for)

6x3=18

18 eggs

If you need more help I would love to help!

Answer:

18 eggs

Step-by-step explanation:

1: x/24=6/8

2: 24*6=144-(1st step for cross multiplication)

3: 144/8=18-(2nd step for cross multiplication)

4: 18 eggs-(final answer)      

Cross multiplication: Write your 2(or more) equivilent fractions, and write your variable as x or any other letter. If your variable is in the numerator, take the denominator and multiply it with the other fraction's numerator and divide your answer with the denominator of the other fraction. If x is in the denominator, switch your variable with the other fractions numerator and solve the same way you would if the variable was in the numerator-(sorry if I made it to complex, but the idea is really simple:)

Solve for x. Round your answer to the nearest whole degree.
I’ll give brainliest

Answers

Answer:

33°

Step-by-step explanation:

cos(x) = 21/25

[tex]cos^{-1}(21/25)[/tex] ≈ 32.86°

to the nearest whole number, that would be ≈ 33°

The triangle below has a perimeter of 20. Solve for x​

Answers

Answer:

x = 5

Step-by-step explanation:

Given that,

First side of a triangle = x+2

The second side of a triangle = 8

The third side of a triangle = x

We know that, perimeter is equal to the sum of all sides. So,

x+2+x+8 = 20

2x+10 = 20

2x = 10

x = 5

Hence, the value of x is equal to 5.

[tex] \bigstar \: \underline{ \underline{ \tt{Question}}} : [/tex] In the given figure , M and N are the centres of two intersecting circles. Prove that :
i. PQ [tex] \perp[/tex] MN
ii. PR = RQ

~Thanks in advance! <3

Answers

Answer:

See Below.

Step-by-step explanation:

We are given two intersecting circles with centers M and N.

And we want to prove that: I) PQ ⊥ MN and that II) PR = RQ.

Since MP and MQ are radii of the same circle:

[tex]MP\cong MQ[/tex]

Likewise, since NP and NQ are radii of the same circle:

[tex]NP\cong NQ[/tex]

And by the Reflexive Property:

[tex]PQ\cong PQ[/tex]

Therefore, by SSS Congruence:

[tex]\Delta MPN\cong \Delta MQN[/tex]

By CPCTC:

[tex]\displaystyle \angle PMN\cong \angle QMN[/tex]

And by the Reflexive Property:

[tex]MR\cong MR[/tex]

And since they are the radii of the same circle:

[tex]MP\cong MQ[/tex]

Therefore, by SAS Congruence:

[tex]\Delta MPR\cong \Delta MQR[/tex]

Therefore, by CPCTC:

[tex]PR\cong RQ[/tex]

Note that PQ is a chord in Circle M.

Therefore:

[tex]\text{Segment $MN$ bisects chord $PQ$}[/tex]

In a circle, a segment that passes through the center of the circle that is perpendicular to a chord also bisects the chord.

And conversely, a segment that passes through the center of a circle that bisects a chord in the circle is also perpendicular to the chord.

So:

[tex]\displaystyle PQ\perp MN[/tex]

Answer:

Step-by-step explanation:

First step is to prove triangle MPN ad MQN are congruent.

MP=MQ, radius of circle M

NP=NQ, radius of circle N

we have two S in SAS  and for A, we need to prove angle MPN = MQN

consider triangle QMP, it is isosceles so angle MPQ = MQP

consider triangle QNP; it is isosceles so angle  QPN = PQN

combining the two above

angle MPN = MPQ+QPN = MQP+PQN = MQN

By SAS, triangle MPN and MQN are congruent

By symmetry, MN is perpendicular to PQ

It also disects PQ so PR = RQ

finish solving for x
NO LINKS OR I WILL REPORT

Answers

Answer:

x=10  y=20

Step-by-step explanation:

While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?

Answers

Answer:

72.5 km/h

Step-by-step explanation:

Multiply the km/h by how many hours your going at that speed/total number of hours on trip.

(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))

39.375+20.5+13.125

72.5km/h

The distance between the school and the house of a student living in a village is 2km 125m. Every day he covers the distance both ways by walking. Find the total distance covered by him in 4 days.

Answers

Answer:

17,000m

or 7 km

Step-by-step explanation:

distance covered in 4 days = total distance x 2 x 4 days

convert the total distance to meters

(1000m x 2) + 125 = 2125m

total distance = 2125 x 2 x 4 = 17,000m or 7km

Find the area of the given triangle.

Answers

area of triangle = base x height over 2
3 x 4 = 12
12 over 2 = 6
area = 6cm^2
83 but I would try to make sure cause this is review but from months ago

Write the equation of a circle with a center of (1,-2) and radius of 4.

Answers

Answer:

(x - 1)^2 + (y + 2)^2 = 4^2

Step-by-step explanation:

The standard equation of a circle of radius r with center at (h, k) is

(x - h)^2 + (y - k)^2 = r^2

Replacing h with 1, y with -2 and r with 4, we get:

(x - 1)^2 + (y + 2)^2 = 4^2

Please help me out give brainly

Answers

it is irrational because it is not a perfect square

Find the area of the shaded sector. Blue Cross.

Answers

Answer:64 cm^2

Step by step explication:
4(4)+4(4)+4(4)+4(4)= 64 cm^2

Write an inequality to represent the real-world problem. Then complete the statements.

Jasmine’s computer cost more than $300.

The variable in the inequality represents
The inequality symbol needed is
The constant is
The inequality that correctly represents the problem is

Answers

Answer:Just did the question 2021 edge

Step-by-step explanation:

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