A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ?
HELP ASAP

Answers

Answer 1

Answer:

[tex]12\:\mathrm{ft}[/tex]

Step-by-step explanation:

When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:

[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].


Related Questions

6 min to 1 hour
as a fraction in simplest form

Answers

Step-by-step explanation:

[tex]1 \: hour \: = 60 \: min \\ \\ \frac{6}{60} = \frac{1}{10} \\ [/tex]

Answer:1/10

Step-by-step explanation:

Assume that Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively. Select all of the following that represent the law of cosines. q2 = r2 + s2 – 2rscos(Q) . q2 = r2 + s2 – 2qscos(R) . r2 = q2 + s2 – 2qscos(Q) . r2 = q2 + s2 – 2qscos(R) .s2 = q2 + r2 – 2qrcos(S)

Answers

Answer:

A. q2 = r2 + s2 – 2rscos(Q)

D. r2 = q2 + s2 – 2qscos(R)

E. s2 = q2 + r2 – 2qrcos(S)

Step-by-step explanation:

The following relation represent the law of cosines.

                  [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

Law of cosines:

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

It is given that, Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively.

A diagram is attached below,

From cosines law,

      [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

Above relation represent law of cosines.

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If MN is a midsegment of ∆ABC, find the values of x and y.

Answers

Answer:

Step-by-step explanation:h

Answer:

d

Step-by-step explanation:

What are the truth values of Q v ~R?

Answers

Answer:

ttft

Step-by-step explanation:

Which angle is congruent to p

Answers

Q is congruent to P because they’re both got the same x and y number the x is 5 and -5 and for y is 3 and -3.

Answer: angle q is congruent to angle p

Step-by-step explanation:

congruent means same size shape, ect....

deb Found 56 tulips for $8. Please help Deb figures out the ratio

Answers

Answer: 7:1

To find the unit rate or unit ratio, divide 56 by 8.

56/8 = 7.

So, per 7 tulips it costs 1 dollar, or $1.

So the ratio, 7:1 represents this problem.

HELP ME EASY THINKING PROBLEM 20 POINTS

Answers

do you move the 6 for the 2?

Step-by-step explanation:

I'm sorry if its wrong

have a good day!

Helpppppppppppppppp pleaseeeeee

Answers

290.4 I'm guessing cuz bbn it closest to what I got

xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of basket xavier made this season.​

Answers

Answer:

J+22=X

Step-by-step explanation:

J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.

Please help me ASAP........

Answers

Answer:

More on supplies than she earned in sales.

Answer:

She spent 25 dollars from her pocket. No profit

Step-by-step explanation:

The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?

Answers

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = [tex]\dfrac{2+3}{2}=\dfrac52=2.5[/tex]

Mode = most repeated number = 2    (thrice)

geometric mean = [tex]\sqrt[n]{x_1\times x_2\times.... x_n}[/tex]

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.

NEEED HELP QUICK PLS PLS pls pls pls .

Answers

Answer:

step 4 is correct because h-¹(x)=2x+5

Rewrite as a simplified fraction. 0.51 = ?

Answers

Answer:

51/100

Step-by-step explanation:

What is the equation that represents this pattern

Thanks

Answers

t = 3f -1

hope this helps

Answer:

something like f(t)=t+3

Step-by-step explanation:

10 pens for $8.99.
25 pens for $19.75

Answers

What is the question?

Step-by-step explanation:

Answer:

so you need to find the cost of one pen, which ever is cheaper pick that one

Isabella earns interest at an annual rate of 10% compounded annually on her savings account. She deposits $2,000 into her account. What is the total amount of money Isabella will have in her account after 2 years? (Use the formula to calculate compound interest

Answers

2420 after two years.

2000x.1
200 add 2000+200 then
2200x.1
220 add 2200+220
2400.

HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!

Answers

Step-by-step explanation:

Area of Glass surface

= Area of Parallelogram - Area of Rectangle

= (20in * 16in) - (4in * 16in)

= 256in².

Hence it is 256 square inches.

P.S. Question photo got changed, ignore this.

Answer: The area of the figure is 32 square

plz mark brainly

A bag of garden soil weighs 44 pounds and holds 5 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.

Answers

Answer:

weight=660 pounds

volume=75 cubic feet

Step-by-step explanation:

44 × 15 = 660

5 × 15 = 75

The weight of 15 bags of garden soil is approximately 297.9 kilograms.The volume of 15 bags of garden soil is approximately 2.78 cubic yards.

To find the weight of 15 bags of garden soil in kilograms, we can use the conversion factor that 1 pound is equal to 0.45359237 kilograms.

Weight of 15 bags in kilograms = 44 pounds/bag * 15 bags * 0.45359237 kg/pound

Weight of 15 bags in kilograms ≈ 297.9 kilograms

Therefore, the weight of 15 bags of garden soil is approximately 297.9 kilograms.

To find the volume of 15 bags of garden soil in cubic yards, we need to first convert the volume of each bag from cubic feet to cubic yards. There are 3 feet in a yard, so 1 cubic yard is equal to 3 feet by 3 feet by 3 feet, which is 27 cubic feet.

Volume of 15 bags in cubic yards = (5 cubic feet/bag * 15 bags) / 27 cubic feet/yard

Volume of 15 bags in cubic yards ≈ 2.78 cubic yards

Therefore, the volume of 15 bags of garden soil is approximately 2.78 cubic yards.

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-3g = 9 what does g =

Answers

Answer:

g=-3

Step-by-step explanation:

-3g=9

divide through by-3

g=9/-3

g=-3

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3g=9  Equation/Question

Step 2

-3g=9  Simplify

-3g=9

Step 3

-3g =9   Divide by 3

answer

-3

Hope this helps

Is 2/3 less than 2/8

Answers

Answer:

No

Step-by-step explanation:

If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps

Find the 43rd term in the sequence: -6, -3, 0,...

Answers

Answer: 129

Step-by-step explanation: 43•3=129

Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25

Answers

Answer:

1) Yes

2) No, this polynomial has complex roots

3) No, this polynomial has irrational roots

Step-by-step explanation:

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

What is Function?

A relation between a set of inputs having one output each is called a function.

Functions are given as;

f (x) = 4x² - 25

g (x) = 4x² + 25

h (x) = 3x² - 25

Now,

a. f (x) = 4x² - 25

To find the roots we can set up 0,

f (x) = 4x² - 25 = 0

4x² - 25 = 0

4x² = 25

Divide by 4,

x² = 25/4

Take square root both side,

x = √25/4

x = ±5/2

Thus, The function has rational roots.

So, Rational roots theorem provide a complete list of all roots.

b) g (x) = 4x² + 25

To find the roots we can set up 0,

4x² + 25 = 0

4x² = - 25

Divide by 4,

x² = - 25/4

Taking square root,

x = √-25/4

x = ±5i/2

Thus, The function has complex roots.

So, Rational roots theorem does not provide a complete list of all roots.

c) h (x) = 3x² - 25

To find the roots we can set up 0,

3x² - 25 = 0

3x² = 25

Divide by 3,

x² = 25/3

x² = 8.333

Take square root both sides,

x = √8.333

x = ±2.89

Thus, The function has irrational roots.

So, Rational roots theorem does not provide a complete list of all roots.

Therefore,

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

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aight mate can someone help me lol

Answers

Answer:-61/20

Step-by-step explanation:

Answer:

-3 1/20

Step-by-step explanation:

The denominators share a common multiple of 20.

-5/4 = -25/20

-9/5 = -36/20

-25/20 + -36/20 = -61/20 = -3 1/20

What is the answer to this Question?


8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22

Answers

Answer:

Here

Step-by-step explanation:

Let's solve your equation step-by-step.

8−6(x−4)=2x−2(4x−5)+22

Step 1: Simplify both sides of the equation.

8−6(x−4)=2x−2(4x−5)+22

8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)

8+−6x+24=2x+−8x+10+22

(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)

−6x+32=−6x+32

−6x+32=−6x+32

Step 2: Add 6x to both sides.

−6x+32+6x=−6x+32+6x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students

Answers

Answer:

a

Step-by-step explanation:

it won't be 5

nor 60

and it won't be 15

In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Answers

Answer:

0.986

Step-by-step explanation:

Probability of at least one being vac = 1 - Probability of all 5 not vac

1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986

The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.

Given that in a population, 57% people were vaccinated.

5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.

To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.

The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.

So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.

The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.

Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:

P(Not Vaccinated) = 0.43⁵ = 0.043855

The probability that at least one of them has been vaccinated is the complement of the above probability:

P(at least one vaccinated) = 1 - P(not vaccinated)

= 1 - 0.043855 = 0.956145

Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.

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What does 58/6 equal

Answers

Answer:

9.66666666667

Step-by-step explanation:

The fraction 58

6

is equivalent to 9 2

3

.

This fraction is a improper fraction once the absolute value of the top number or numerator (58) is greater than the absolute value of the bottom number or denomintor (6). So, the equivalent fraction is a mixed number which is made up of a whole number (9) and a proper fraction (2

3

).

The fraction 58

6

is equal to 58÷6 and can also be expressed as a decimal as 9.66667 and expressed as a percentage as 966.7%.

Enter a numerical expression for the word expression.
11 decreased by 8

Answers

A numerical expression is a mathematical statement involving only numbers and one or more arithmetic operation symbols+,−,×,÷. A numerical expression always represents a particular number. For example, the numerical expression 5 + 20 − 9 is equal to the number 16 when simplified.

Rounded to three decimal places, what is the value of r for this data set?

Variable x 8 15 3 7 2 14
Variable y 15 21 6 12 3 20

Choices:
A. 0.950
B. 0.938
C. 0.880
D. 0.981

Answers

I think the answer is B not sure though

Need answer ASAP. Will give brainliest

Answers

Answer:

b

Step-by-step explanation:

V 34

Answer:

B

Step-by-step explanation:

credit to the other person

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