What is the smallest angle of a right triangle with sides 9, 40, and 41? Round your answer to the nearest degree, and enter the number only.​

Answers

Answer 1

Answer: 13°

Explanation: x = tan^-1 ( 9/40) ≈ 13°


Related Questions

What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3

Answers

Answer:

[tex]Y=-\frac{1}{3} + 6[/tex]

Hope This Helps! :) Please Mark Brainliest!

evelyn invests $3200.00 in an account for 9 months at a 5% annual interest rate, what is evelyns total amount in her account at the end of the term?

Answers

Answer:

3320

Step-by-step explanation:

So, 9 months is 9/12 of a year which is 3/4.

Each month they get 5/12% of their total money, so 9x5/12=3.75%.

3320

The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next two terms is a multiple of 3, no matter what the value of m. ​

Answers

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:

If the annual interest rate 4%, how long does it tke for you investment of $10,000 to grow to $15,000

Answers

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)

Randy has 1.5 gallons of sprite and 2.25 gallons of coke in his fridge. Andy has 1.15 gallons of sprite and 0.62 gallons of coke. How much more soda does Randy have than Andy?

Answers

Answer:

1.98Gal

Step-by-step explanation:

Randy soda total is 1.5 gal + 2.25 Gal = 3.75 Gal

Andy soda total is 1.15 + 0.62 Gal = 1.77 Gal

3.75-1.77=1.98Gal

1.98

Step-by-step explanation:

1.5+2.25=3.75

1.15+0.62=1.77

3.75-1.77=1.98

use the equation f(x)=0.003x²-0.083x+2.514. Predict the value for x+20 years.
When x=20 years,f(x)=?

Answers

Answer:

2.054

Step-by-step explanation:

put the value of x in f(x)

You deposit $1500 in an account earning 3.5% interest compounded monthly.

a. a. How much will you have in the account in 20 years?

b. b. How much interest will you earn?

Answers

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

The possible rational roots are ±1, ±3, ±5, ±9, ±15, and ±45.
The actual roots ordered from least to greatest are?

Answers

The actual roots of the function P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45 are its real roots

The actual roots ordered from least to greatest are -3 and 3

How to determine the actual roots?

From the complete question, the polynomial function is:

P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45

Expand the above equation

P(x) = x^4 - 4x^3 + 5x^2 - 9x^2 + 36x - 45

Factorize the equation

P(x) = x^2(x^2 - 4x + 5) - 9(x^2 - 4x + 5)

Factor out x^2 - 4x + 5

P(x) = (x^2- 9)(x^2 - 4x + 5)

Express x^2 - 9 as a difference of two squares

P(x) = (x + 3)(x - 3)(x^2 - 4x + 5)

The expression (x^2 - 4x + 5) cannot be factorized.

So, we have:

P(x) = (x + 3)(x -3)

Equate to 0

(x + 3)(x -3) = 0

Expand

x + 3 = 0 or x - 3 = 0

Solve for x

x = -3 or x = 3

Hence, the actual roots ordered from least to greatest are -3 and 3

Read more about polynomial functions at:

https://brainly.com/question/2833285

Answer:

answer in picture

Step-by-step explanation:

Which of the following sets of numbers could be the side lengths of a right triangle?

3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29

Answers

Answer:

9, 40, and 42

Step-by-step explanation:

Answer:

9, 40,and 42 is the answer

Step-by-step explanation:

which description represents the expression 5x - 9 ?

Answers

hello!

5x-9 means

9 less than the product of a number and 5

5 times x minus 9

the product of 5 and a number minus 9

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie has Kurtis watched? Show your Work.

Answers

Answer:

ok so this is just multiplycation

30% is also 0.3 so

280*0.3=84

84 minutes or

1 hour 24 minutes

Hope This Helps!!!

Answer: 23810645.03820431-24

Step-by-step explanation:

Used my brain :)

9. Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Its markup on selling price percentage on all snowboards is 21%. At the end of the season, any leftover snowboards are marked down by 10%. What is the sale price for the snowboard?

Answers

The sale price for the snowboard after the trade and loyalty discount of 15% and 4% will be 351.01 dollars.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Then the price of the snowboards will be

⇒ $ 395 × 0.85 × 0.96

⇒ $ 322.32

Its markup on selling price percentage on all snowboards is 21%, then we have

⇒ $ 322.32 × 1.21

⇒ $ 390.01

At the end of the season, any leftover snowboards are marked down by 10%, then we have

⇒ $ 390.01 × 0.90

⇒ $ 351.01

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Please help for brainliest :(

Given the figure below, find the values of x and z.

Answers

Answer:

Below in bold.

Step-by-step explanation:

z = 87 degrees ( vertical angles)

9x - 87 = 180 - z   ( adjacent angles are supplementary)

9x - 87 = 180 - 87  

9x = 180

x = 20 degrees.

Estimate how many times larger 5x10^8 is than 24x10^6?
A) 10 times larger
B) 20 times larger
C) 50 times larger
D) 100 times larger

Answers

Answer:

20times bc u times 5 by 10 then divide 8 u get 6.2

Find the exact length of the midsegment of the trapezoid with the vertices A(2,\ 0),\ B(8,-4),\ C(12,\ 2),\ D(0,\ 10).

Answers

Answer:

Midsegment = 3√13

Step-by-step explanation:

The length of the mid segment of trapezoid is half the sum of the lengths of the two parallel sides, AB and CD

Which real-life data set has a distribution that is skewed right?
a. prices of movie tickets
b. height of adults in town
c. salaries of employees at a large company
d. ages of students im a high school algebra class

Answers

A price of move tickets

please help me
and please show good answers ​

Answers

Answer:

1st one is 0.021

2nd one is 0.009

the last question is 0.015 tho

Answer:

for the first one it will be 0.021

the second one it's 0.009

and for the third one it will be 0.015

To save money for his daughter's college tuition, Pablo invests $279 every quarter in an annuity that pays 6% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years. Do not round any intermediate computations, and round your final answer to the nearest cent

Answers

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\dotfill &279\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &22 \end{cases}[/tex]

[tex]A=279 \left[ \cfrac{\left( 1+\frac{0.06}{4} \right)^{4 \cdot 22}-1}{\frac{0.06}{4}} \right]\implies A=279\left[\cfrac{1.015^{88}~~ - ~~1}{0.015} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 50348.47~\hfill[/tex]

Which function is the inverse of f(x) = -5x -4?

Answers

Answer:

f−1(x)=x5+45

Step-by-step explanation:

HELP!! What is the surface area of this figure?

Answers

Answer:

448 is the answer

Step-by-step explanation:

If u need complete solution do let me know

Answer:

448 yd^2.

Step-by-step explanation:

The surface area consists of 3 rectangles and 2 congruent triangles

= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8

= 132 + 220 + 96

= 448 yd^2.

please help me Find m< G

Answers

Answer:

70°

Step-by-step explanation:

All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.

Two gears are connected and rotating at the same time. The smaller gear completes 2 1/2 rotations every time the larger gear completes 1/4 of a rotation.


How many rotations does the smaller gear complete when the larger gear completes 1 rotation?


A.1/10

B. 5/8

C. 5

D. 10

Answers

The small does 2 1/2 for 1/4 of the large. Multiply by 4 to get a full rotation of the large one:


2 1/2 x 4 = 10


answer: D. 10

A restaurant has a soup-and-salad lunch with the choices listed in the table below. A soup and a salad are selected at random.

What is the probability that tomato soup and a garden salad are selected?


A 1/6


B 1/5


C 1/3


D 5/6

Answers

Answer:

I think it is B) 1/5, but I am not sure.

The set of ordered pairs below is a relation. {(1, 5), (0, 2), (-1, -1), (-2, -4)} What is the range of the relation?

Answers

Answer:

{ - 4, - 1, 2, 5 }

Step-by-step explanation:

the range is the values of y from the ordered pairs in the relation

range = { - 4, - 1, 2, 5 }

9. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain? (Hint : convert data in cm.)​

Answers

Answer:

1 Shirt and 185cm remaining cloth

Step-by-step explanation:

2m and 15cm = 215cm

40m = 400cm

400/215=1.860465116

A shirt cant be in decimal so we remove the decimals, and take the as the answer. For the decimals, they are the remaining cloth.. to calculate the amount of remaining cloth we do:

1.860465116-1

=860465116

215*860465116=185cm

Simplify the expression.
c^-6 d^4/c^-16 d^14

Answers

Answer:

[tex]\red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Step-by-step explanation:

[tex] \huge \: \frac{ {c}^{ - 6} {d}^{4}}{ {c}^{ - 16} {d}^{14} } \\ \\ = \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\ \\ = \huge \: \red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

What is the next fraction in this sequence? Simplify your answer 1/52 1/26 1/13 2/13

Answers

Answer:

4/13

Step-by-step explanation:

The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:

[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]

4/13 is our final simplified answer

I hope this helps!

Kathryn’s new ball has a diameter of 4 inches (in.). What is the surface area of Kathryn’s ball? Use 3.14 for π .

Answers

Answer:

50.24 in^2

Explanation:

The formula for the area of a sphere is
4πr^2, where r is the radius.

Please mark brainliest

For the given equation, find the value of M when x=3. 2x+m=7

Answers

[tex]m = 1[/tex]

Step-by-step explanation:

[tex]2x + m = 7[/tex]

insert x=3 into the equation

[tex]2(3) + m = 7[/tex]

multiply

[tex]6 + m = 7[/tex]

subtract 6 on both sides

[tex]6 - 6 + m = 7 - 6[/tex]

[tex]m = 7 - 6[/tex]

simplify

[tex]m = 1[/tex]

what is the diameter of a circle with a circumference of 84.78 inches?use 3.14 for pi,show your work please

Answers

Answer:

27 inches

Step-by-step explanation:

the formula for the circumference is 2 × pi × r

so: 2 × pi × r = 84.78

so 84.78/2pi = r

r = 13.5

we want the diameter which is 2 x r

so the diameter is 27

Other Questions
The brain, spinal cord, and nerves are all major organs of the ___ system. Your sock drawer contains 6 pairs of gray socks, 7 pairs of white socks, 4 pairs of black socks, and 4 pairs of beige socks. You choose a pair of socks from the drawer at random and then replace it. Then you choose a second pair of socks. Find P(white, then gray). First witchsay if th' hadst rather hear it from our mouthsor from our masters'.which modern english interpretation best reflects the meaning of theselines?asuppose you heard it from us instead of from our bosses.b. just say if you want to hear it from us or from our bosses.c.let us know if what we say differs from what our bosses say.d.please tell us if you heard it first from us or from our bosses. How long ago did the first animals adapt to living on land?. Compare using >, < or =7 x 5/4 _ 7 How do you know your answer is correct?Choose 1 answer:A. Because we are multiplying 7 by a fraction that is less than 1.B. Because we are multiplying 7 by a fraction that is equal to 1C. Because we are multiplying 7 by a fraction that is greater than 1. All of these are advantages of federalism EXCEPT:O it allows more opportunities for political participation.it allows for a greater diversity of opinion to be reflected in public policies.O it increases access to government.O it reduces the amount of experimentation on public policyO it allows customization of policies for local needs. What do you mean by electromagnetic induction? One of the infrastructure challenges of community redevelopment programs is to establish safe, clean, sources of drinking water. please select the best answer from the choices provided t f If the snake were removed from the ecosystem, which organism would immediately be impacted? (6b) A. The mouse population would increase because one of their predators was removed. B. The rabbit population would increase because one of their predators was removed. C. The mouse population would increase because they have less competition. D. The rabbit population would increase because they have less competition. A baseball is thrown a distance of 60 meters. What is its speed if it takes 1.5 seconds to cover the distance 1) anything that has mass and takes up space is calledA. TissuesB. MassC. MatterD. Atomic numberE. Weight2) mechanical energy isA. Found in machinery onlyB. Usually measured at the atomic levelC. The sum of the chemical and thermal energy of an objectD. The sum of the kinetic and potential energy of an object( please answer it guys i really bad at my physics TnT)) What is a DNA fingerprint and why is it considered individual evidence? Interesting facts about the history of Spain? Imagine that you are an American newspaper editor in May of 1861. Write an article/editorial piece in which you will argue whether the North will quickly win the war or the South will quickly win the war. You may create a pen name and please identify which state that you are from. Remember you must choose one side, please do not argue for both. Please respond in 5-7 sentences. To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.Part AQuestionHow many different orders of top-three finishers are possible?Drag the tiles to the correct locations on the equation. Not all tiles will be used. 2.0 L of Carbon dioxide is heated from -25.0 C to Standard Temperature.What is the final volume of the gas? Which of the following is something that is the same between the Roman Republic and the United States? A) Women are allowed to vote in both B) Both had a representative democracy C) Both had a constitution laying out their rules D) Both had an oligarchy within their government Find the volume of a cone that has a radius of 8 meters and a height of 9 meters. Use 3.14 for pi A gaseous mixture contain 32.9 mol % He, 40.7 mol % N_{2} and 26.4 mol % Ar. Determine the composition of this mixture on a mass basis based on the molecular weight given: MW(He) = 4.003 , MW (N_{2}) = 28.02 MW(Ar) = 39.95 Find the measurements