A 16-foot ladder is resting against a wall when the bottom of the ladder begins to slip from the wall at a rate of 0.75 ft/s. Find the rate at which the top of the ladder is sliding down the wall when the bottom of the ladder is 10 ft away from the wall.

Answers

Answer 1

Answer:

8 feet from the wall.


Related Questions

Half of the class scored above 78% and half of the class
scored below 78% on the Science test." Therefore, 78% is the....

Answers

Answer:

Median

Step-by-step explanation:

Answer:

78% is the median

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers

The length of a rectangle is 10 m greater than the width, and the area is 600 sq. m. Find the dimensions

Answers

Step-by-step explanation:

l = length

w = width

l = w + 10

l×w = 600 m²

now, using the identity of the first equation in the second equation

(w + 10)×w = 600

w² + 10w = 600

w² + 10w - 600 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = 10

c = -600

w = (-10 ± sqrt(10² - 4×1×-600))/(2×1) =

= (-10 ± sqrt(100 + 2400))/2 = (-10 ± sqrt(2500))/2 =

= (-10 ± 50)/2 = -5 ± 25

w1 = -5 + 25 = 20 m

w2 = -5 - 25 = -30

the negative solution does not make any sense for side lengths. so, the only valid solution is w = 20 m.

l = w + 10 = 20 + 10 = 30 m

the length is 30 m.

the width is 20 m.

1 inch = 2.54 cm
=
How many cm. are in 1/4 in.?

Answers

Answer:

0.635 in

Step-by-step explanation:

Divided 2.54 by 4

Find the equation of the line through point (10,4) and parallel to 3x+5y=8. Use a slash ("/") for fractions (e.g. 1/2 for 12). DO not include spaces in your answers.

Answers

Answer:

3x + 5y = 50

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3x + 5y = 8 ( subtract 3x from both sides )

5y = - 3x + 8 ( divide terms by 5 )

y = - [tex]\frac{3}{5}[/tex] x + [tex]\frac{8}{5}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{3}{5}[/tex]

Parallel lines have equal slopes , then

y = - [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

to fid c substitute (10, 4 ) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

y = - [tex]\frac{3}{5}[/tex] x + 10 ← equation of parallel line in slope- intercept form

multiply through by 5 to clear the fraction

5y = - 3x + 50 ( add 3x to both sides )

3x + 5y = 50 ← equation of parallel line in standard form

Solution:

Step-1: Convert the equation of the line into slope intercept form.

3x + 5y = 8=> 5y = -3x + 8=> y = -3x/5 + 8/5

In this case, the slope we obtained is -3/5, which is -0.6. Let's use point slope form to find the original equation.

Step-2: Use point slope form.

y - y₁ = m(x - x₁)=> y - 4 = -0.6(x - 10)=> y - 4 = -0.6x + 6=> y = -0.6x + 10

What is the value of x?
x
21.5
13.1
Round your final answer to the nearest tenth.
Use the Pythagorean theorem

Answers

25.2
21.5^2 + 13.1^2 = x^2
462.25+171.61=x^2
633.86=x^2
square root both sides
x=25.2

How many times do 18 go into 70?
⇒ Answer
⇒ Answer
⇒ Answer
⇒ Answer
⇒Answer

Answers

Answer:

3 (if it has to be a whole number)

Step-by-step explanation:

70/18 is approximately 3.89

It goes in 3 times love!!!

has anyone taken Module Six Project Option 1

Answers

Answer:

depends on the grade level ._.

Step-by-step explanation:

cuz i only am good at 9-11th grade math T-T

Mr. Hayden's Bible class collected $11
in coins for a needy family. They col-
lected twice as many quarters as dimes
and 12 more nickels than dimes. How
many of each coin did the class collect?

Answers

This is the only way I can think of this mathematically. This took a good 20 minutes for me. You need to guess and check. Like try 17 quarters, 50 nickels, and 37 dimes etc. until you get 11.00. My numbers are mathematically correct but we both know you cant have 18.909 quarters so. lol

Answer:

Quarters: 18.909

Nickels: 49.818

Dimes: 37.818

Somewhere around those numbers.

Step-by-step explanation:

$11.00 total in coins

Nickel = $0.05

Dime = $0.10

Quarter = $0.25

(n*0.05) + (d*0.10) + (q*0.25)

Solve the equation for q.

[tex]q=\frac{1}{2} d[/tex]

(n*0.05) + (d*0.10) +( [tex]\frac{1}{2} d[/tex] *0.25)

Simplify the expression.

9d + 2n = 440

d - n = -12

Multiply both sides of the equation by -9.

-9d + 9n = 108

9d + 2n = 440

Sum the equations vertically to eliminate at least one variable.

11n = 548

[tex]n=\frac{548}{11}[/tex]

Substitute the given value of n into the equation d - n = -12

[tex]d-\frac{548}{11} =-12[/tex]

[tex]d=\frac{416}{11}[/tex]

Substitute the given value of n into the equation [tex]q=\frac{1}{2} d[/tex]

[tex]q=\frac{1}{2} *\frac{416}{11}[/tex]

[tex]q=\frac{208}{11}[/tex]

Finally

[tex]d=\frac{416}{11}[/tex]        d = 37.818

[tex]n=\frac{548}{11}[/tex]        n = 49.818

[tex]q=\frac{208}{11}[/tex]        q = 18.909

Can anyone solve these with work attached
(just take a picture of work it would be highly appreciated)

Answers

Answer:

Step-by-step explanation:

Answers in the order as shown

34

20

8

55

29

28

50

61

4

60

Help thanks 10 points <3

Answers

Answer:

Step-by-step explanation:there are 3 reds each so maybe try multipling those into the 12 for the red..it would look like this 6x12=72

and the do the same with the blue 4x6=24

Then we’ll try and add it together 72+24=96

Please help... need steps
[tex]log16^{n} =log\frac{1}{64}[/tex]

Answers

Answer:

x = -3/2

Step-by-step explanation:

1. Cancel out log from both sides -> 16^n = 1/64

2. Log16 both sides to isolate n -> log16(16^n) = log16(1/64) -> n = log16(1/64)

log16(1/64) = -3/2

James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​

Answers

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

Divide by 28 on both sides:

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

What is the missing number in this pattern?
1,1….3,5,8,13,21

Answers

2 is the missing number

Answer:

34

Step-by-step explanation:

I have done this before

Executives for a car dealership are interested in the sales for the type of vehicle, SUV or truck, and the type of power train, two-wheel drive (2WD), four-wheel drive (4WD), or all-wheel drive (AWD). The data from the
sales of 165 vehicles are displayed in the two-way table.
A vehicle is randomly selected. Let S be the event that
the vehicle is an SUV and let D be the event that the vehicle has 4WD. What is the value of P(S and Dc)?
O 0.04
O 0.23
O 0.38
O 0.41

Answers

Assuming S is the event that the vehicle is an SUV the value of P(S and D) is:0.38.

Probability

Number of vehicles=165

Total number of SUV=10+23+52=85

Hence:

The event that vehicle is SUV(S)=85

The event that vehicle is 4WD(D)=23

Value of P(S and D)=85-23/165

Value of P(S and D)=62/165

Value of P(S and D)=0.375

Value of P(S and D)=0.38 (Approximately)

Inconclusion the value of P(S and D) is:0.38.

Learn more about probability here:https://brainly.com/question/24756209

Answer:

c) 0.38

Step-by-step explanation:

just answered it

Solve in simplest radical form

Answers

45+90+unknown=180

135+u=180

u=45

so that,

x=15

Answer:

Step-by-step explanation:

The ratio of sides of 45 - 45 -90 triangle is

1 : 1 : √2

This is an isosceles triangle. So, the sides opposite to equal angles (45°) are equal.

∵ x = 15

Lashawn makes scrambled eggs with 333 spoonfuls of salsa for every 222 eggs. Gilberta adds 777 spoonfuls of salsa for every 555 eggs.
Whose scrambled eggs have a stronger salsa taste?

Answers

Answer:

Lashawn

Step-by-step explanation:

333/222=1 1/2part salsa per egg - Lashawn

777/555= 1 2/5 part salsa per egg - Gilberta

1 1/2 is greater than 1 2/5

Trish is going to camp for 50 days on 15 July 2022. Calculate the date when he will return from camp

Answers

Answer:

Trish is going to return from camp September 3rd, 2022.

Step-by-step explanation:

Okay! note: (There are 31 days in july)

July 15th+10 days=July 25th

July 25+6=July 31st

July 31st+1 day= August 1st

(17 days done so far)

August 1st+30 days=August 31st

(47 days done)

August 31st+1 day=September 1st

September 1st+2 days= September 3rd

I got the answer by breaking up the 50 days into smaller parts and adding them. Make sure you know how many days are in the months so you don't get too confused.

I will give brainliest fast please I will give points please explain well

Answers

If the equal is 55x + 35y = 200

x: time-driven at 55 miles/hour

y: time-driven at 35 miles/hour

If the car spends 2.5 hours at 35 miles per hour, then it drove:

 55x + 35(2.5) = 200

    55x =35

       y = 112.5

There the drive spent about 2.5-hour driving at 55 mph.

Hope it helps!

What is the equation of the line that passes through
the points (-0.25, -2) and (0.75, -4)?

Answers

Answer: y=-2x-2.5

Step-by-step explanation:

WHat is this how do i do this

Answers

X + 2(-1/2x + 4) = -8
X - X + 8 = -8
8 = -8 No solution

Mary has 12 marbles 3/12 of the marbles are yellow 2/12 of the Marvels are blue The rest of the marbles are green How many marbles are green Explain how you know

Answers

Answer: 7 marbles are green.

Step-by-step explanation:

      Since we have 12 marbles in total, 12/12 = 1. Since the fractions have denominators of 12 as well, we can easily tell there are 3 yellow marbles (3/12) and there are 2 blue marbles (2/12).

      Lastly, we need to find how many are green. We can subtract the yellow and blue marbles from the total of 12 marbles.

12 - (3 + 2)

12 - (5)

7 marbles are green.

Answer:

Seven marbles are green.

Step-by-step explanation:

you have a total of 12 marbles.

12-3 (yellow) = 9

9-2 (blue)      = 7

3 (yellow) + 2 (blue) = 5

12 (total) - 5 (yellow and blue) = 7

If y varies inversely as x squaredand y = 6 when x = 30, what is y when x = 6? a. 216 b. 5 c. 180 d. 150.

Answers

Answer:

C

Step-by-step explanation:

Because i did it and got it right

Which features of figure JKLM remain the same after any rigid transformation? I-ready

Answers

Answer: size and shape

Step-by-step explanation:i got it right on the quiz

The features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

What is a Rigid Transformation?

A rigid transformation, include the following forms of transformations that preserves the size and size of the orginal figure before transformation: translation, reflections, and rotations.

The shape and size of a fugure are preserved after a rigid transformation.

Therefore, the features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

Learn more about rigid transformation on:

https://brainly.com/question/4057530

Every month, Tara writes a cheque for $25 to pay off part of a loan. She has enough in her current account to pay no more than $450 towards the loan. Write and solve an inequality to find how many months can Tara send payments for the loan

Answers

The number of months that tara can send her payments for the Loan is; 18 months

How to find the time period of a Loan?

We are told that;

Tara has to pay $25 each month to pay the loan.

She has $ 450 in her account to pay the loan.

For us to find the number of months she can pay the loan, we will apply the unitary method as;

$25 she can pay in 1 month

The number of months to pay $1 is; 1/25 months

The number of months to pay $450 is; (1/25) * 450 = 18 months.

Read more about period of a Loan at: https://brainly.com/question/11686424

A restaurant owner wants to survey customers to determine their favorite brand of ketchup. Which would provide the best sample?

A) Ask 20 customers chosen at random each day for a week
B) Ask the first 50 customers who come in to the restaurant on Saturday
C) Ask her 10 best customers
D) Ask all the people who live within a block of the restaurant

Answers

A because it seems like the one that can be done most Accurately

A triangle has two sides of length 2 and 14. What is the largest possible whole-number length for the third side?

Answers

Answer:

15

Step-by-step explanation:

Note that;

The sum of the lengths of 2 sides of a triangle must be greater than but not equal to the length of the third side.

As well as, the third side must be longer than the difference between the greater and the lesser of the other two sides

Given;

First side of the triangle  = 17

Second side of the triangle  = 2

Let us assume the third side of the triangle  = T

Now, In any given triangle:

"Sum of any two sides of a triangle is strictly greater than the third side."

⇒ Sum of first side  +  Sum of second side   > Third Side

  or,     m < 2 + 14

  or,     m  <  16

Hence, the largest possible value for m = 15

~Learn with Lenvy~

A rectangular pool is 6 feet long and 5 feet wide. It is filled to a depth of 2 Teet. A cubic footof water is about 7.5 gallons. If the pool can be filled at a rate of about 10 gallons per minute,now long will it take to fill the pool to a depth of 2 feet? Explain your reasoning.

*QUICK*

Answers

Answer:

450 minutes

Step-by-step explanation:

First, let's calculate the volume of the pool when filled.  Volume will be: (length x width x height).

Volume = 6' x 5' x 2 ' = 60 ft^3

1 ft^3 of water occupies 7.5 gallons.  That's a conversion factor for water:  (7.5 gal)/(1 ft^3).

The total gallons of water in a filled pool would be:\

(60 ft^3)*((7.5 gal)/(1 ft^3)) = 4500 gallons

At a rate of 10 gallons/min, it would take:

(4500 gallons)/(10 gallons/min) = 450 minutes, or 450/60 = 7.5 hours

Can someone help me please??​

Answers

Circumference

The circumference of a circle is its perimeter.

We can solve for the circumference using the following formula:

[tex]C=2\pi r[/tex] where r is the radius of the circle

Solving the QuestionPart A

We're given:

The radius of the circle is 14 cm

Plug the given information into the formula for circumference:

[tex]C=2\pi r\\C=2\pi (14)\\C=28\pi[/tex]

Therefore, the circumference of the circle is 28π cm.

Part B

Replace π with [tex]\dfrac{22}{7}[/tex]:

[tex]C=28\pi\\\\C=28*\dfrac{22}{7}\\\\C=4*22\\C=88[/tex]

Therefore, the circumference of the circle with [tex]\pi=\dfrac{22}7}[/tex] is 88 cm.

The cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 16 sandwiches in all. How many ham sandwiches did the cafeteria sell?

Answers

Answer:

5 ham sandwiches

Step-by-step explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

1 ham sandwich, 7 turkey sandwiches = 8 sandwiches2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches5 ham sandwiches, 11 turkey sandwiches = 16 sandwiches

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.

Answer:

5

Step-by-step explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

Three students made videos for their art project. The table shows the length of each video. How much longer is video 1 than video 3?

Answers

Answer:

ok

Step-by-step explanation:

does it come with the picture??

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