Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

Answers

Answer 1

Answer:

18.67 ft

Step-by-step explanation:

     |\

     |   \

     |      \

h    |         \     20 ft

     |            \

     |               \

     |--        69°  \

     ---|----------------

For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.

sin A = opp/hyp

sin 69° = h/20

h = 20 * sin 69°

h = 18.67

Answer: 18.67 ft


Related Questions

Write an equation for the lowest-degree polynomial function, with the graph and intercepts shown in the figure. For this exercise, make the leading coefficient be 1 or -1

Answers

Answer:

f(x)  = (x+1)² - 9

Step-by-step explanation:

We can start by seeing if this is a quadratic function, as that is the lowest degree polynomial possible.

The vertex form for a quadratic function is a(x-h)² + k, with the vertex being (h, k).

In this example, the leading coefficient (a) must be 1 or -1. If a is positive, the graph opens upward, and vice versa. Since the graph opens upward, a must be 1.

Our vertex in this picture is (-1, -9). We can plug those values in, along with a=1, to get

1(x-(-1))² - 9 = (x+1)² - 9

Therefore, our equation is f(x)  = (x+1)² - 9

The polynomial is given by:

[tex]p(x) = x^2 + 2x - 8[/tex]

------------------------

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

------------------------

The polynomial has two x-intercepts, thus, the lowest-degree is 2.Concave up, thus, the leading coefficient is [tex]a = 1[/tex].The x-intercepts are [tex]x_1 = -4, x_2 = 2[/tex], and thus:

[tex]p(x) = (x - (-4))(x - 2) = (x + 4)(x - 2) = x^2 + 4x - 2x - 8 = x^2 + 2x - 8[/tex]

A similar problem is given at https://brainly.com/question/22817243

Simplify: 5x3+3x2−(−x−6x2)+4x−x2

Answers

5^3+9^2−^2+5 I think that’s the answer

Hello if you're able to answer this question help me and provide work as well, Thank you.

Answers

Answer:

answer is no. a -1/8 for sure

Lelana bought 21 packs of washable crayons and x packs of non-washable crayons. Write an ex- pression to show how many crayons Lelana bought in total.

please help​

Answers

Answer:

[tex]21 + x[/tex] packs

Step-by-step explanation:

Given

[tex]Washable \to 21[/tex]

[tex]Non \to x[/tex]

Required

The total packs bought

This is calculated as:

[tex]Total = Washable + Non[/tex]

[tex]Total = 21 +x[/tex]

Find the measure of the arc or angle indicated. Find QR Please help!!!

Answers

86 because out of all of the answer choices there are 2 small arcs and QR is the second smallest and 86 is the second smallest number so it kinda makes sense

Which of these expressions is equal to 2(43 - p)?
A.
(2 - 43) × (2 - p)
B.
(2 - 43) - (2 - p)
C.
(2 × 43) - (2 × p)
D.
(2 × 43) × (2 × p)

Answers

Answer:

C. (2×43) - (2×p)

Step-by-step explanation:

The question is 2(43-p)

Which means 2 is multiplying the bracket.

So the answer to the question is 2×43 - 2×p

Which will give us 86 - 2p

So you then solve all the possible answers to see if it the same answer as the one we got

PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT

Answers

I’m sorry, I don’t know perpendicular but I would love to help.
I'm pretty sure parallel since they have the same slopes

Answer to this problem

Answers

Answer:

The answer would be E, the tire makes 700 revolutions in 2 minutes.

Step-by-step explanation:

One revolution is equal to the circumference of the tire :

[tex]C = 2\pi r = 2(1)(\frac{22}{7} ) = \frac{44}{7}[/tex]

The car travels at 2,200 feet per minute. To calculate the number of revolutions, divide the speed by the circumference.

[tex]2,200[/tex] ÷ [tex]\frac{44}{7}[/tex] = 350

This means that in 1 minute the tire makes 350 revolutions. To find out how many revolutions the tire would make for 2 minutes you simply multiply by 2.

350*2 = 700

So the answer would be E, the tire makes 700 revolutions in 2 minutes. Hope this helps, please mark brainliest!

someone please help! (listing BRAINLIST and giving points) ​:)​

Answers

I hope this is help full to you

What's is the value of X?

Answers

Answer:

[tex]116^o[/tex]

Step-by-step explanation:

All triangles equal [tex]180^o[/tex]. Therefore, in order to find the value of [tex]x^o[/tex], all you will have to do is subtract [tex]64^o[/tex] from [tex]180^o[/tex].

[tex]180^o-64^o=116^o[/tex]

[tex]x^o=116^o[/tex]

example of expressions to represent length and width

Answers

Answer:

lxwxh

Step-by-step explanation:

Length x width x height

plz find the area of the red shape :)

Answers

66.7 cm^2

The width is 20/18 times longer
The height will also be 20/18 times bigger
The area will be 20/18 x 20/18 times bigger

What is
(481x10")(1.1x 10-4) in scientific notation?
5.291x 10-64
5.291x10
5.291x1012
5.291x1020

Answers

Answer:

5.291 * 10^4

hhhhhhhhhhhhhhhhh

What is the slope of the line represented by the equation y = 4/5x - 3 ?? Someone help :0 !!

Answers

Answer: 4/5

Step-by-step explanation:

tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.​
2:
A function F:[-2,2]-->R is defined by f(x)=x² is
F one to one and onto.
3:
A function F:[1,4]-->R is defined by f(x)=x³ is
F one to one and onto​

Answers

Answer:

1. f(x) = x² - 1 is an even function.

It has two-to-one relationship since f(-x) = f(x)

The answer is no

2. f(x) = x², same as above, the answer is no

3. The function f(x) = x³ is an odd function and its inverse is:

f(x) = ∛x, which is also an odd function

Both have one-to-one and onto relationship

The answer is yes

true or false m angle 3 <m angle 6​

Answers

Answer:

False

Step-by-step explanation:

If you see closely, Angle 3 is slightly smaller than Angle 6''

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

i’m pretty sure the answer would be true

Struggling with these

Answers

Answer 5.5
I hope this helps

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.

Which expression is equivalent to (1/√y)^-1/5?

A: 5√y^2

B: 1/√y^5

C: 10√y

D: 1/10√y​

Answers

Answer:

[tex]=\sqrt[10]{y}[/tex]

So option c is the correct answer

Step-by-step explanation:

[tex]\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:rule}\:1^a=1\\1^{\frac{-1}{5}}=1\\=\frac{1}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}[/tex]

Rosa and Micah are playing a game . Which table is the closest to showing Rosa winning approximately plays ? 3/5 of the times she

Answers

Answer:

A is the closest

is equivalent to 16 Superscript three-fourths?

Answers

I can help you in the comments section. Can you rephrase this question?

Answer:B

Step-by-step explanation:

16055 divided by 16?​

Answers

Answer:

1003.4375

Step-by-step explanation:

16055/16 is 1003.4375

1003.4375 is the answer

A dictionary has 88,728 words. Out of that Mohan read 35,427 words. How many words are left for him to read?

Answers

Mohan has 53,301 words left

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of words in the dictionary = 88,728 words

No. of words that Mohan read = 35,427 words

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

No. of words left for Mohan to read.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\sf\purple{53,301 \:words. }[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

No. of words left for Mohan to read = Total no. of words in the dictionary - No. of words that Mohan read

= ( 88, 728 - 35, 427 ) words

= 53,301 words

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

Hao has a container in the shape of a right rectangular prism with dimensions 3 feet by 5 feet by 8 feet. What is the
volume, in cubic feet, of the container?

Answers

Answer:

120 [tex]{ft}^{3}[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the lengths of all of the sides

3 x 5 x 8 = Ans --> 3 x 40 = Ans -->120 = Ans

Therefore, the volume of the rectangular prism is 120 [tex]{ft}^{3}[/tex]

The area of a circle, in terms of
π
, is 36
π
m2.
Find the value of the radius.

Answers

Area is pi•r^2
pi•r^2 = 36pi
r^2 =36
r = ?

Find the height in centimeters of a square pyramid with a volume of 455cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

Answers

Answer:

[tex]h = 7.69cm[/tex]

Step-by-step explanation:

Given

[tex]Volume = 455cm^3[/tex]

[tex]l = h[/tex]

Where:

[tex]h \to height[/tex]

[tex]l \to base\ length[/tex]

Required

The height

The volume is calculated as:

[tex]Volume = l^2 * h[/tex]

This gives:

[tex]Volume = h^2 * h[/tex]

[tex]Volume = h^3[/tex]

Rewrite as:

[tex]h^3 =Volume[/tex]

So, we have:

[tex]h^3 = 455cm^3[/tex]

Take cube roots

[tex]h = \sqrt[3]{455cm^3}[/tex]

[tex]h = 7.69cm[/tex] --- approximated

Why do you think using computer software to do forecasting calculations is almost necessary if you are changing the number of time periods for a moving average or the alpha value for an exponential smoothing calculation

Answers

Answer:

There are two major methods of forecasting

One is the Causal method and the 2nd one is the times series method

Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.

Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.  

Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation

Lower Quartile value (Q1) is:
41
42
46
48
54
56
57​

Answers

The lower Quartile value should be from 42 to 48 i believe. I hope this help

Answer:

Q1 =46

Step-by-step explanation:

Q1=(N+1)/4  (N means no of data)

=8+1/4

=9/4

=2.25

=2 nd term + (3 rd term - 2 nd term)

=44 +(46 - 44)

=44 + 2

=46

In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
Select the true statement about participants in the quiz competition from 2011 to 2012. Percentages are rounded to the nearest tenths place.
a.) The absolute change is 35 students and the relative change indicates an increase of 18.92%.
b.) The absolute change is -35 students and the relative change indicates a decrease of 23.3%.
c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%.
d.) The absolute change is -35 students and the relative change indicates a decrease of 35%.

Answers

Answer:

c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%

Step-by-step explanation:

the participants increasing = 185-150=35

the percentage = 35/150 × 100% = 23.3%

Option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.

c) The absolute change is 35 students and the relative change indicates an increase of 23.3%

The change in participent = 185 - 150 = 35

Percentage change = (35/150)×100 = 23.3%

Thus, option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

What is the answer?
Please help

Answers

Answer:

100*

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

x = 60+40

x = 100

Find the value of x to the nearest tenth.

Answers

Answer:

[tex]base = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{25} = 5 \\ x = \sqrt{ {6}^{2} - {5}^{2} } \\ x = \sqrt{11} \\ x = 3.3[/tex]

3.31 (Answer in the photo)
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