A 24-foot ladder leans against a building. The foot
of the ladder is 7 ft from the building. Find the
measure of the angle which the ladder makes with
the level ground.

Answers

Answer 1

Answer:

73°

Step-by-step explanation:

Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.


Related Questions

PLEASE HELP ASAP 20 POINTS

The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft

1) If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?
A) 250 feet
B) 400 feet
C)500 feet
D)750 feet

2) If the width on the scale drawing of the city park is 25 centimeters and the length is 30 centimeters, what is the actual area of the park?

A) 75,000 ft^2
B) 110,000 ft^2
C) 300,000 ft^2
D) 750,000 ft^2​

Answers

Answer:

1.A

2.B

Step-by-step explanation:

I hope it helps...........

Answer:

1:A

2:B

Step-by-step explanation:WELCOMEEEE HAVE A GREAT DAY :)))((()()(

Find the value of x.
A. 35
B. 10
C. 55
D. 25

Answers

Answer:

A.35

Step-by-step explanation:

trust bro

Answer:D 25

Step-by-step explanation:

y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution

Answers

Answer:

(-1,-1) works (5,5) does not

Step-by-step explanation:

y<1/4x+1[tex]\geq[/tex]3x+2

-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2

-1<-1/4+1[tex]\geq[/tex]-3+2

-1<.75[tex]\geq[/tex]-1

I need help on this problem for 50 points 3000x9000

Answers

Answer:

The answer is 27,000,000

Simplify -4 + (-3) + 6.

Answers

Answer:

-1

Step-by-step explanation:

that's the answer..... use calculator or phtomath

Socks cost $5 per pair.
The expression 5p
represents the cost in dollars of p pairs of
socks. Why must o be a whole number?

Answers

Answer:

because there is no cents, so its a whole number, and it will help if u put the answer choices

Step-by-step explanation:

Answer:

the whole number is 5 , but I don't understand what the question is ... "if one pair of socks cost 5 dollars, how much would however pairs of socks cost" . is that what the question says ?

Step-by-step explanation:

Is 1 greater than, less than, or equal to 8/10?

Answers

Answer:

Greater than ( > )

Step-by-step explanation:

Answer:

Greater than

Step-by-step explanation

1 is greater than 0.8

Find the area of the shape below.

Hint: Find the area of the two triangles and the square and add them together.

Answers

The total area of the shape is 12

given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions.
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8? show your work.

Answers

Answer:

a) 2.66

b) 9

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

part A: what is the standard deviation of the sampling distribution of x hat? show your work.

We have that [tex]\sigma = 8.4, n = 10[/tex]. So

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]

PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?

This is n when [tex]s = 2.8[/tex]. So

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]

[tex]2.8\sqrt{n} = 8.4[/tex]

[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]

[tex]\sqrt{n} = 3[/tex]

[tex](\sqrt{n})^2 = 3^2[/tex]

[tex]n = 9[/tex]

A certain insect can beat its wings 180 times per

Answers

The equation would be

y= 180x

can 2x-15 be factored

Answers

yes ofc 2x -15 then get your answer then divide by 2 again

Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?

Answers

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x [tex]1.025^n[/tex], where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow

Answers

Answer: Your answer is (C) 6/14

Step-by-step explanation: Have a brilliant day mate - Lily ^-^

Which expression is equivalent to 7z + 7z?

Answers

Answer:

[tex]14z[/tex]

Step-by-step explanation:

Since these are like-terms, they can be added together.

7z + 7z = 14z

Need an answer:

Graph g(x)=5|x-6|+2

Answers

your minimum is at (6,2)
your vertical intercept is at (0,32)
your domain: (-infinity, infinity)
your range: [2, infinity)

Find the ratio of the following
Smita works in office for 6 hours and Kajal works for 8 hours in her office. Find the
ratio of their working hours.​

Answers

Answer:

6:8  = 3:4  

Step-by-step explanation:

Smita = 6

Kajal = 8

Ratio = 6:8

Simplified ratio = 3:4

I hope Im right!!

Answer:

the answer is 3:4 you put 6:8 and you check if you can simplify in this case you can so u simplify them by 2 and the final answer is 3:4

Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!

Answers

Step-by-step explanation:

the answer is in the attachment

The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.

The graph of y= 5(x + 1)²– 3

The equation y = 5(x + 1)² - 3 represents a quadratic function.

The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.

The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.

The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.

Learn more about graphs at:

https://brainly.com/question/25799000

#SPJ2

Eight girls share 7 sandwiches equally. How many sandwiches does each girl get

Answers

Answer:

each girl get 1 sand witch and 14 quarters

Step-by-step explanation:

6(840.25)+15(1,374.05)+9(1.222.43)/30

Answers

Answer:

26018.979

yea...

ANSWER QUICK PLS ANSWER QUICK PLS
Pls answer all questions

Answers

Answer:

this is the closest i can get to the answer

1. 0.33/1 = 0.33

2. how much it costs per ounce

3. it represents the facts that it costs 0.33 per ounce

4. y=0.33x+0.33

sorry if it's wrong

The school district does not have to pay the 8% sales tax on the $2992.50 purchase. Find the amount of sales tax distric saved on the 2992.50 purchase

Answers

Answer:

239.4

Step-by-step explanation:

8 x 2992.50/100 = 239.4

of
5
What is

Domain

Answers

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

Step-by-step explanation:

(hope this helps :P)

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=−5 is a straight line perpendicular to the y-axis at point (0,−5), which means that the range is a set of one value {−5}.

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi? m less-than-or-equal-to 17 m greater-than-or-equal-to 17 m less-than-or-equal-to 20.3 m greater-than-or-equal-to 20.3

Answers

Answer: 17 miles

Step-by-step explanation:

The total cost of the taxi service is the flat free and the total amount that is based on the distance. Let x be this distance. The equation that would best represent the situation is,

1.25 + 0.75x = 14

Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 mile

If Henri has $14.00, the number of miles he can afford to ride in the taxi is 17 miles.

Option (B) is correct.

What is a function?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

The equation for this situation is as follows:

The taxi service charges a flat fee of $1.25 and $0.75 per mile.

Hence,

let

x = number of miles

y = 0.75x + 1.25

where

y = $14

14  - 1.25 = 0.75x

12.75 = 0.75x

Therefore,

x = 12.75 / 0.75

x= 17

Therefore, the number of miles he can afford is 17 miles.

Learn more about function here:

https://brainly.com/question/21688251

#SPJ6

32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 370 grams. If a 32​-week gestation period baby weighs 2375 grams and a 41​-week gestation period baby weighs 2675 ​grams, find the corresponding​ z-scores. Which baby weighs less relative to the gestation​ period?
Find the corresponding​ z-scores. Which baby weighs relatively less​? Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
A.
The baby born in week 32 weighs relatively less since its​ z-score, nothing​, is smaller than the​ z-score of nothing for the baby born in week 41.
B.
The baby born in week 41 weighs relatively less since its​ z-score, nothing​, is smaller than the​ z-score of nothing for the baby born in week 32.
C.
The baby born in week 41 weighs relatively less since its​ z-score, nothing​, is larger than the​ z-score of nothing for the baby born in week 32.
D.
The baby born in week 32 weighs relatively less since its​ z-score, nothing​, is larger than the​ z-score of nothing for the baby born in week 41.

Answers

Answer:

Step-by-step explanation:

Answer:

Babies of 33 week weighs relatively less than the babies of 41 week.

Explanation:

Z score is determined by

x-u/sd

A) For 33 Week baby

Given

Mean 2500

SD 800

Z score is

2600-2500/800 =0.125

B) For 41 Week baby

Given

Mean 2800

SD 425

x=2900

Z score is

2900-2800/425 =0.235

The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.

Thus, babies of 33 week weighs relatively less than the babies of 41 week.

Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole. Olga uses 5/6 of a dozen eggs to make scrambled eggs. Who uses make eggs? Explain your answe

Answers

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Please this is due in 52 minutes...

Please don’t answer this with one answer, blank or ridiculous answer this is serious....

Answers

Answer:

Angle S has a measure of 50°

Step-by-step explanation:

When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)

You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50° (but only angle S is an option)

What are acute and obtuse angles

Answers

Answer:

Acute angles are less than 90 degrees and obtuse angles are great than 90 degree angles.

Answer: an acute a is anything lower than 90 degrees. And obtuse is anything higher than 90 degree.

Step-by-step explanation:

Use the following figure to answer the question.
1
2
If _1 and 2 are equal, then lines /and mare parallel.
True
False

Answers

Answer:

true

Step-by-step explanation:

because angle 1 and 2 can only be equal if the lines are parallel

A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall The nature center's caretaker filled 4/5 f the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain or show your reasoning

Answers

Answer:

They had 20 of them

Step-by-step explanation:

sorry if its wrong

Yeah the answer is 20

Evaluate each expression if m=4,z=9,and r=1/6

1. 12r
2. 60r - 4
3. 3r power of 2

Answers

Answer:

1. 12r= 2

2. 60r - 4= 6

3. 3r power of 2= 1/12

Step-by-step explanation:

1. 12r = 12* 1/6= 12/6= 2

2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6

3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12

or

(3*1/6) power of 2= (1/2) power of 2= 1/4

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