A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot

Answers

Answer 1

Answer:

9 ft

Step-by-step explanation:

You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:

cos(50)=x/14

Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).


Related Questions

Which formula will find the area of the composite figure below ?

Answers

Answer:

Last formula

[tex] {side}^{2} + \frac{\pi {r}^{2} }{2} [/tex]

Step-by-step explanation:

Composite figure is made up of a square and a semicircle.

Therefore,

Area of composite figure= area of square + area of semicircle

[tex] \huge\purple {\boxed {= {side}^{2} + \frac{\pi {r}^{2} }{2}}} [/tex]

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes; mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?

Answers

Answer:

The range will be 103 because 148-45 = 103

missy went to the store and bought 3 packs of candy. Each packs holds 5 chocolate bar. how many chocolate bars did missy but at the stores

Answers

Answer:

15

Step-by-step explanation:

5 x 3 = 15

Hope this helps ;)

volume ....................

Answers

Answer:

360 cm^2

Step-by-step explanation:

length x width x height

6 x 6 x 10

Answer:

360cm^3

Step-by-step explanation:

V=L*W*H

V=6*6*10

V=36*10

V=360

Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million

Answers

The correct answer is $1.4 million

The insurance company must put $1.4 million into a bank account.

What is insurance?

Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.

Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,

Considering that the interest is Simple interest,

So, SI = PRT / 100

Here, the interest is 35000, P we need to find, r = 2.5 and T = 1

35000 = 2.5P/100

3500000 = 2.5P

P = 1400000

P = 1.4 millions

Hence, the insurance company must put $1.4 million into a bank account.

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The measures of the angles of a triangle are 25 degrees, 87 degrees, and 68 degrees. Is the triangle acute, right, or obtuse?

Answers

Answer:

their all less than 90 degress so its acute

Step-by-step explanation:

Suppose a pyramid’s dimensions are tripled. What is the ratio of this new, larger pyramid’s volume to that of the original pyramid?
The new volume is one third the original volume.
The new volume is triple the original volume.
The new volume is 9 times the original volume.
The new volume is 27 times the original volume.

Answers

Answer:

The answer is D

Step-by-step explanation

I took the quiz on ed.

Answer:

the answer is d: the new volume is 27 time the original volume.

Step-by-step explanation:

Reese's truck can go 1,040miles on a full tank of 52gallons of gas. Find the rate of miles per gallon.

Answers

Answer:

20

Step-by-step explanation:

Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you.  1040/52=20 so every 20 miles cost 1 gallon of gas

On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime.

Identify the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'.

(x, y) Right-arrow (x – 4, y – 2)

(x, y) Right-arrow (x + 4, y – 2)

(x, y) Right-arrow (x – 4, y + 2)

(x, y) Right-arrow (x + 4, y + 2)

ps first person to answer get brilliants

Answers

Answer:

D

Step-by-step explanation:

The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:

(x, y) → (x - 4, y + 2)

Here, we have,

In the transformation, the x-coordinates of the points are shifted 4 units to the right, which is represented by subtracting 4 from the original x-coordinate.

Similarly, the y-coordinates of the points are shifted 2 units up, which is represented by adding 2 to the original y-coordinate.

Therefore, the correct rule is (x, y) → (x - 4, y + 2).

Hence, The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:

(x, y) → (x - 4, y + 2)

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Assume that the probability of a driver getting into an accident is 5.7% and
that the average cost of an accident is $24,500. If the driver's insurance
premium is $1686.50, what is the overhead cost for the insurance company
to insure the driver?
A. $256
B. $190
C. $290
D. $260

Answers

Answer:

C. $290

Step-by-step explanation:

The expected cost is:

E = 1686.50 − (0.057) (24500)

E = 290

Bob wants to go to the movies with his friends. The movie theater charges $ 8 per ticket. Bob's friends reserve $ 48.00 worth of tickets in advance. How many people in total can attend the movie?

Help with steps if u love ur mama

Answers

Answer:

6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.

Step-by-step explanation:

1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.

[tex]48 \div 8 = 6[/tex]

How many possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin?

Answers

Answer:

16

Step-by-step explanation:

From the spinner there are 8 possible outcomes (1 to 8)

From the coin, there 2 (heads or tails)

8*2=16

There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to find the possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin.

From the spinner, there are 8 possible outcomes (1 to 8)

From the coin, there 2 heads or tails;

8 x 2 = 16

Hence, There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.

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Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box. A standard box with height x inches and width 8 inches. A mini box with height 4 inches and width 3.2 inches. What is the height of the standard size box of Crunch Bunch? 1.6 inches 6.4 inches 10 inches 15.2 inches

Answers

Answer:

The anwser is 10 inches

Answer:

10 inches I got it right on edge 2020

Which unit would be best for measuring the thickness of a coin?
kilometer
()) centimeter
meter
)) milli​

Answers

Answer:

Since 1 mm = . 03937 inches, mm would seem to be the units appropriate for defining the thickness of a coin measuring 2 units.

Step-by-step explanation:

In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?

Answers

Answer:

61%

Step-by-step explanation:

First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.

Tres empresas de transporte terrestre cumplen el recorrido Lima - Piura, siendo la longitud del trayecto de aproximadamente 1 000 km. La frecuencia de salida es de 10, 12 y 15 días, respectivamente. Si el 14 de marzo tuvieron una partida simultánea, ¿cuántas veces vuelven a coincidir en su partida hasta el 31 de julio?
A)1 B) 2 C) 3 D) 4

Answers

Answer:

B) 2

Step-by-step explanation:

We have to find the interval of time for which they begin the traject simultaneously.

One begins each 10 days, other each 12 and other each 15. So to find the number of days before dey start together, we have to find the lesser common multiple(non-zero) between 10,12, and 15.

M(10) = {0,10,20,30,40,50,60,...}

M(10) are the multiples of 10.

M(12) = {0,12,24,36,48,60,...}

M(15) = {0,15,30,45,60,...}

So the lesser common multiple between 10,12 and 15 is 60.

This means that they will begin together each 60 days.

So, first on March 14, after that:

60 days is approximately months.

So approxiately on May 14, and then approximately on July 14

That is, two times before July 31.

So the correct answer is:

B) 2

what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94

Answers

Answer:

0.733

Step-by-step explanation:

Using a calculator or table:

P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)

P(-1.32 < Z < 0.94) = 0.8264 − 0.0934

P(-1.32 < Z < 0.94) = 0.733

100 POINTS TO ANSWER THIS PLZ HURRY

Answers

Answer:

This is tricky but I think it is A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY

Answers

Step-by-step explanation:

D.12

A.26

........................

Answer:

D and A

Step-by-step explanation:

D= 132

A is larger than 132

Describe each pattern formed. Find the next three terms. 4,8,16,32

Answers

Answer:

The pattern is multiplying by 2.

Next three terms: 64,128,256

Step-by-step explanation:

4,8,16,32

To get from 4 to 8 we can multiply by 2.

To get from 8 to 16 we can multiply by 2.

To get from 16 to 32 we can multiply by 2.

So the pattern is multiplying by 2.

To find the next three terms:

32*2=64

64*2=128

128*2=256

Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

Answers

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 387.20, \sigma = 68.50[/tex]

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{425 - 387.20}{68.50}[/tex]

[tex]Z = 0.55[/tex]

[tex]Z = 0.55[/tex] has a pvalue of 0.7088

X = 325

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{325 - 387.20}{68.50}[/tex]

[tex]Z = -0.91[/tex]

[tex]Z = -0.91[/tex] has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

A pharmacy uses 4 x 10 to -3 liter of an ingredient in one dose of medication. The ingredient comes in a 2 liter bottle. How many doses can be made with one bottle?

Answers

Answer:

reeeeeee

Step-by-step explanation:

ask someone else

what is 4.156 - 0.34 in Simplify the following expression.

Answers

Answer:

3.816

Step-by-step explanation:

4.156-0.34

=4.156-0.34

=4.156 + (-0.34)

= 3.816

hope this helps!!

The given expressions 4.156 - 0.34 simplified form is 3.816.

We have given,

4.156 - 0.34

We have to determine the subtraction

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol  -

4.156-0.34

=4.156-0.34

=4.156 + (-0.34)

= 3.816

The given expressions 4.156 - 0.34 simplified form is 3.816.

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WHO EVER HELP MES WILL GET BRAINLEST. AND ALL MY POINTS PLZ HELP ME FIND THE AREA OF THIS

Answers

Answer:

5 in^2

Step-by-step explanation:

2x2 for the square = 4 in

1x2/2 for the triangle = 1 in

Answer:

so find the area of the swuare first. 2 times 2 = 4. then you have to add that to the area of the triangle which is 1/2 times base times height. We know that the height is 1 and the base is 2 (from the square's common side shared) so its gonna be 2 times 1 which is 2 divided by 2 which is one soo its 4+1=5

so the answer is 5 inches squared

Step-by-step explanation:


Classwork
Problem 1.
Gisele spent 7/10 of her money оn a book and 10/100 of her money on food. What fraction of her money
did she spend altogether?

Answers

8/10 because 10/100 is 1/10 so 7/10+1/10=8/10

Answer: It is 8/10 Because 7+1 equals 8/10 so 7/10+1/10 equals 8/10.

Giving brainliest to CORRECT answer.

Answers

b i think .. i’m not sure

Answer:

A. 2

Step-by-step explanation:

[tex] y = 16x^2 - 8x + 1[/tex] is a quadratic function, hence on solving it will give two zeros, therefore graph of the function will intersect x axis in two points.

Tessa and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?

Answers

Answer:

The amount of water is each balloon should be:

A = 6/20 =0.3 liters

Hope this helps!

:)

Answer:

0.3

Step-by-step explanation:

                                                                 .

Below is a regular octadecagon (18 sided polygon).
What is the SUM of its interior angles.
What is the measure of ONE of its interior angles?

Answers

Answer:

2880 degrees; 160 degrees

Step-by-step explanation:

(18-2)*180=16*180=2880

2880/18=160

Therefore, 2880 degrees; 160 degrees

I hope this helped and have a good rest of your day!

A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey. How many litres of petrol will be left when the car has travelled 360 miles?

Answers

Answer:

15 liters

Step-by-step explanation:

60/480= 0.125

0.125*360= 45

60-45= 15

Plz help ..............!!!!!

Answers

Answer:

1.8

is the median

Answer: 1.8

Step-by-step explanation: 1.8 is the median

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The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.Question 13 options:A) Width = 92, length = 10B) Width = 4, length = 7C) Width = 9, length = 10D) Width = 5, length = 9 Pengelola layanan air minum di desaku membuat tempat penampungan air di dataran tinggi agar air dapat menjangkau seluruh desa. Tempat penampungan tersebu berbentuk kubus dengan panjang rusuk 8 meter. Jika tempat penampungan itu penuh, berapa liter air yang tertampung? Bentley Enterprises uses process costing to control costs in the manufacture of Dust Sensors for the mining industry. The following information pertains to operations for November. (CMA Exam adapted) Units Work in process, November 1st 16,000 Started in production during November 100,000 Work in process, November 30th 24,000 The beginning inventory was 60% complete as to materials and 20% complete as to conversion costs. The ending inventory was 90% complete as to materials and 40% complete as to conversion costs. Costs pertaining to November are as follows: Beginning inventory: direct materials, $54,560; direct labor, $20,320; manufacturing overhead, $15,240. Costs incurred during the month: direct materials, $468,000; direct labor, $182,880; manufacturing overhead, $391,160. What is the equivalent unit cost for materials assuming Bentley uses first-in, first-out (FIFO) process costing? 6th GRADE MATH: The length of a park is 250 meters. Whats the park in kilometers? Cmo se dice "soccer" en espaol?O A. El ciclismoO B. El baloncestoO C. El ftbol americanoO D. El ftbol Which of the following statements about developing a personal fitness program is NOT true?A When developing a personal fitness program, it is important to implement strategies that will helpmaintain the program as well as give it a successful startB. Personal factors such as age, health concerns, and likes are important to consider when developinga personal fitness programC. The starting skill level of the physical activities included in a personal fitness program should bedetermined from other individuals' fitness programsD. The FITT principle should be used when developing a personal fitness program,Please select the best answer from the choices providedABSave and ExitNext The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true? A) Each distribution has a different mean and the same standard deviation. B) Each distribution has a different mean and a different standard deviation. C) Each distribution has the same mean and the same standard deviation. D) Each distribution has the same mean and a different standard deviation. What advancements in language did the Axumites make?A.) They created the Tewahedo lannguageB.) They adopted and altered Arabic scriptC.) They modified Egyptian hieroglyphsD.) They developed the Geez language HELP PLZZZI DONT UNDERSTAND THIS IK IK IM DUMB Tim is reading a book that contains 55 pages .He has read 46 pages,How many pages are unread? The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?A. 67 feetB. 44 feetC. None of theseD. 114 feetE. 57 feet Do you think exposure to Earths Magnetic field could cause people to have paranormal sensations? Sometimes people vomit when they have the flu. Explain how this is like a volcano erupting. A pharmaceutical company conducts a clinical trial of a new drug for allergies.Group B is thecontrol groupexperimental groupED50 groupTD50 group What two numbers have a sum of 191 and a difference of 63 Hay una ________________ a las cuatro y otra a las siete de la tarde. *1 pointcinemisincolasesin How are the elements in the same row similar Following World War II, the countries of Eastern Europe were allA. British coloniesB. communist countriesC. part of ChinaD. independent nationsPlease select the best answer from the choices provided Someone be a homie cause Im really tryin on this math shi thank youuuu How many solutions does this equation have?5 2k = 2k