A 13-foot ladder leaning against a building meets the side of the building exactly 12 feet above the ground. How far from the building is the base of the ladder rounded to the nearest hundredth foot?

Answers

Answer 1

Answer:

At the moment in question, we have a 5-12-13 right triangle.

x^2 + y^2 = 13^2

2x dx/dt + 2y dy/dt = 0

2(5)(2/3) + 2(12) dy/dt = 0

dy/dt = -5/18 ft/s

the area is 1/2 xy, so

da/dt = 1/2 y dx/dt + 1/2 x dy/dt

= (1/2)((12)(2/3) + (5)(-5/18))

= 119/36

Step-by-step explanation:


Related Questions

Write an expression that is equivalent to 30(x + y + 1)

Answers

30(x+y+1)
Well you can simply just distribute and it’s an equivalent expression.
So
30x+30y+30
30x+30y+30
hope this helps

work out the circumference of this circle

give your answer in terms of pi​

Answers

Answer:

37.68

Step-by-step explanation:

Well, the first thing first is to know the outline of the question. So I made sure I knew the diameter. In this case we didn't, so I multipilied 6 by 2 and got 12. Then I multipyed 12 by 3.14 to get 37.68

What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters

Answers

Answer:

B. 40 meters

Step-by-step explanation:

there are 100 cm in a meter

we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.

4,000/100 = 40

Therefore, the answer is B. 40 meters

hope this helps :)

What is equivalent to (2x - 5)(9-2)

Answers

Answer:

14x - 35

Step-by-step explanation:

:)

14x-38

When u foil it, u get
18x-4x-45+7

Combine like terms, u get

14x-38

As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.

If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?

Answers

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

Learn more here:

Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

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Please help me. I need help

Answers

Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?​

Answers

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

Sale 10 % off During the sale, Susan pays $603 for a wedding cake. What was the original price?

Answers

$670 is the correct answer!

Answer:

$670

Step-by-step explanation:

1/10x + 603 = x

x -10x = -6030

-9x = -6030

x = 670

2.952 + 39.24 =
A: 42.192
B: 68.76
C: 6.876
D: 687.6
E: 36.288
F: 42.76​

Answers

Answer:

The answer to this question is A

Answer:A:42.192

Step-by-step explanation:

line them up by the decimals and place value

39.24

+2.952

add a zero onto 39.24 to line them up correctly

39.240

+2.952

then add to get an answer of

A:42.192

There are 64 pencils in a pack. Mr. Math is the only teacher to give out pencils on day one and
he gave out 33 pencils. The math department wanted to decide how many total pencils there
are left in the school. Using p for the number of cases of pencils and t(p) for total number of
pencils, write an equation to determine the total number of pencils?

Answers

Answer:

Step-by-step explanation:

0 1  

 3 3 ⟌ 6 4  

     - 0    

       6 4  

     - 3 3  

       3 1  

Question one:
what is the first step to solving x+5=27
And what is the answer using perfect algebra format



Question two:
What is the first step to solve 3w=-4 and what is the answer to the problem

Answers

The first step would be to subtract 5 from both sides. We have to leave x alone so subtract five from both sides which will leave us with x=22

For the next one we would have to divide 3 by -4 to get w=1.3 Infinite so the 3 would have a small dash on top.

Simplify 5u^2w^3 x 7uw^3

Answers

Answer:

35u³w⁶

Step-by-step explanation:

Given:

5u²w³

and

7uw³

Find:

Product

Computation:

5u²w³ x 7uw³

35u³w⁶

Answer each question. Assume x>0. a. What percent of 8x is 5x? 5x is % of 8x. b. What is 65% of 80x? 65% of 80x=.


I will give 100 points

Answers

since both numbers have an x, the first question might as well be asking 5 is what % of 8.

This can be found using division, 5/8=0.625 This also meant that the answer is 62.5 %

For the second question, to find the answer, you just gave to multiply the 2 numbers.

65%*80x=52

Done!

Show that sin( + 180°) + 2 cos( − 360°) − sin( − 180°) = 2x

Answers

Answer:

Example 1: Change sin 80° cos 130° + cos 80° sin 130° into a trigonometric function in ... Example 2: Verify that cos (180° − x) = − cos x ... Example 7: Verify that sin (360° − x) = − sin x.

- Adrian's car gets about 12.5 kilometers per liter. He is planning a 1,600 kilometer trip.

a) About how many liters of gas should Adrian plan to buy? Round your answer to the nearest liter.

b) At an average price of $0.90 US per liter, how much should Adrian expect to spend for gas?​

Answers

Answer:

[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]

Step-by-step explanation:

a) distance/unit rate = 1600/12.5 = 128

b) liters of gas × unit price = 128 × 0.90 = 115.2

Answer:

a) 128 liters

b) $ 115.2

Step-by-step explanation:

Part a)

12.5 km = 1 liter

1 km = 1/12.5 liters

Multiplying both sides by 1,600

1600 km = 1600 / 12.5 liters

1600 km = 128 liters

Part b)

1 liter = $ 0.90

128 liters = 128 * 0.90

128 liters = $ 115.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS PLS

Answers

Answer:

z=13

Step-by-step explanation:

Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance​

Answers

Answer:

A (Note Reduction)

Step-by-step explanation:

A p e x of course

Answer: note reduction

Step-by-step explanation:

A PE C

Please tell me how much it would be for 1

Answers

Answer: tall is 12 dollars

Step-by-step explanation:

The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?​

Answers

Answer:

3 teams and 29students in each team.

let, the team be x,y,&z

given all the team r equal so, x=y=z

x+y+z=87

3x=87

x=87/3

x=29

we get, x=y=z=29

hope it helps.

Marks of 12 students in a unit test are given as 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14. Assume a mean and calculate the arithmetic mean of the data. Assume another number as mean and calculate the arithmetic mean again. Do you get the same result? Comment​

Answers

hope this helps you...

.....

mean = 13.67

Step-by-step explanation:

observations = 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14

mean = sum of observations ÷ numbers of observations...........................................sum of observation = 4+21+13+17+5+9+10+20+19+12+20+14= 164

numbers of observation = 12

mean = 164 ÷ 12 = 13.67

please help me to understand. Thanks.

Answers

Answer:

B. {(x, y): y = x²}

Step-by-step explanation:

A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts​ (a) through​ (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births.
The value of the mean is__ ​(Type an integer or a decimal. Do not​ round.)
The value of the standard deviation is __. ​(Round to one decimal place as​ needed.)
b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Values of ___ girls or fewer are significantly low. ​(Round to one decimal place as​ needed.)
Values of ___ girls or greater are significantly high. (Round to one decimal place as​ needed.)
c. Is the result of 32 girls a result that is significantly​ high? What does it suggest about the effectiveness of the​ method?
The result is/is not significantly​ high, because 32 girls is greater than/equal to/less than ___ girls. A result of 32 girls would suggest that the method is not effective/is effective.​(Round to one decimal place as​ needed.)

Answers

Answer:

A) Mean = 21.5

Standard deviation = 3.3

B) - Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) - The result is significantly​ high, because 32 girls is greater than 28.1 girls

-A result of 32 girls would suggest that the method is effective.

Step-by-step explanation:

A) We are given;

Number of couples; n = 43

Probability it is a girl; p = 0.5

Formula for mean is;

Mean; x¯ = np

x¯ = 43 × 0.5

x¯ = 21.5

Formula for standard deviation is;

SD = √(np(1 - p))

SD = √(43 × 0.5 × (1 - 0.5))

SD = √(43 × 0.5²)

SD ≈ 3.3

B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.

Thus, we have;

x¯ ± 2SD

This gives;

21.5 ± 2(3.3)

That is;

21.5 + 6.6 and 21.5 - 6.6

To get; 28.1 and 14.9

This means that;

- Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high

- A result of 32 girls would suggest that the method is effective.

HELP!! Which figure is a translation of Figure 1? *

Answers

Answer:

Figure B

Step-by-step explanation:

A translation moves a certain amount of spaces, but will never turn nor will it rotate.

Write an emergency that could happen that would have a financial cost

Answers

Answer:

Your house burning down.

Step-by-step explanation:

You would have to pay to repair it.

Answer:

Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.

The building fire will make people lost their things and the building need to rebuild.

Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.

Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.

Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.

Blasting vehicle will make the things in the car lose. the car need to put the windows on again.

Terrorist attacks will lost lives more than lost money or other things.

Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.

That is all I can think of.

The ratio of the vertical change to the horizontal change to any two points on a line is called _______ of the line

Answers

Answer:

The ratio of the vertical change to the horizontal change to any two points on a line is called ___slope___ of the line

Step-by-step explanation:

Slope will be your answer, hope this helps!

Item 2
A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.

What is the student's median unit test score?

Enter your answer in the box.

Answers

Answer: 92.4

Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be

98+97+83+94+90= 462 Then you divide that by 5 and get 92.4

Hope this helps ^^

What are the next terms in the sequence 19, 36, 53,70​

Answers

It is adding 17 to each term...so 19+17=36, then 36+17=53, then 53+17= 70 so you keep adding 17 based on this pattern

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges

Answers

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that [tex]a = 0.95, b = 1.05[/tex]

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

[tex]P(X > x) = 0.9[/tex]

So

[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]

[tex]1.05 - x = 0.9*0.1[/tex]

[tex]x = 1.05 - 0.9*0.1[/tex]

[tex]x = 0.96[/tex]

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??

Answers

Answer:

493g.

Step-by-step explanation:

Only need help 4 to 8 please Please help me my sister in the hospital and I don’t know how to do this type of homework I’m trying my best :( pray for my sister please

Answers

Answer:

I'm so sorry for ur sister

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