In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what is the length of the side adjacent to angle β. Note: You will also need to use the Pythagorean theorem to answer this question.
16.7 cm
5.1 cm
11.4 cm
4.1 cm

Answers

Answer 1

So, the length of the side adjacent to angle β is approximately 17.15 cm. triangle Therefore, the closest option is 16.7 cm.

What is a triangle?

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

sin(β) = opposite/hypotenuse

[tex]hypotenuse^2 = adjacent^2 + opposite^2\\17.5^2 = adjacent^2 + opposite^2\\306.25 = adjacent^2 + opposite^2\\[/tex]

opposite = sin(β) x hypotenuse = 0.292 x 17.5 = 5.095 cm

[tex]306.25 = adjacent^2 + 5.095^2\\306.25 - 5.095^2 = adjacent^2\\294.81 = adjacent^2\\[/tex]

√294.81 = adjacent

So, the length of the side adjacent to angle β is approximately 17.15 cm. Therefore, the closest option is 16.7 cm.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1


Related Questions

PLEASE HELP I NEED THE ANSWER

Consider f (x) = StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline + 1 EndFraction Which statement correctly uses limits to determine the end behavior of f(x)? Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 1 Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 1. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 0. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 7. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 x squared Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → ∞.

Answers

Step-by-step explanation:

It's option b

if u want full solution pls mention in comment

The Correct option is B.

What is function in Limit ?

Informally, a function f assigns an output f(x) to every input x.

What is the difference between function and limit ?

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point.

Learn more about limit and functions here: brainly.com/question/1276816

#SPJ2

What is 527 x 36 with an area model???

Answers

Answer:

18972

Step-by-step explanation:

With an area model, the model will have dimensions of 576 and 36. The product of the units will be within the model.

The value of the equation is A = 18,972

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 527

Let the second number be q = 36

Now , the equation will be

A = p x q

Substituting the values in the equation , we get

A = 527 x 36

On simplifying the equation , we get

A = 18,972

Hence , the equation is A = 18,972

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Find the perimeter and round to nearest tenth

Answers

Answer:

40.1

Step-by-step explanation:

You need to add up all of the outside numbers and leave the inside alone since you are working with perimeter, adding together all of the outside numbers will get you 40.1

The diameter of a circle is 28 inches. What is the circle's circumference

Answers

Answer: 87.92.

Step-by-step explanation: To find the circumference of a circle, you need the following equation:

2 x π x r, where π is ≈ 3.14 and r is the circle's radius.  If you are ever given the diameter instead of the radius, just cut the diameter in half.  In this case, the diameter was given, so we need to cut 28 in half, which makes 14.  Your equation should look like this:

2 x 3.14 x 14 ≈ 87.92.

Hope this helps! :)

Complete The Table
Original Price ( )
Percent Of Discount 25%
Sale Price $40
What is the original price?

Answers

Answer:

$ 53.33

Step-by-step explanation:

x = original price

.75 * x = 40

x = 40 / .75 = 53.33

Let original price be x

Discount=25%

Hence

x-0.25x=40(1-0.25)x=400.75x=40x=40/0.75x=40/(3/4)x=53.34$

why is math so hard :(​

Answers

Step-by-step explanation:

Check out the attached photo

6÷2(1+2)=???
I can't figure it out :(
very much appreciated!!!!

Answers

9

using Bodmas rule

[tex]\sf B - brackets, \ O - order, \ D - division, \ M - multiplication, \ A - addtion, \ S - subtraction[/tex]

⟼                   ⟼                 ⟼               ⟼                ⟼              ⟼

Solve:

6 ÷ 2(1+2)           [simplify the following inside brackets]

6 ÷ 2(3)              [divide]

(3)(3)                 [multiply]

  9                     [final answer]

Hey there!

6 ÷ 2(1 + 2)

= 6 ÷ 2(3)

= 3(3)

= 9


Therefore, your answer should be:

9


Good luck on your assignment & enjoy your day!


~Amphitrute1040:)

Are solar systems unique to just our sun? Explain.

Answers

Our solar system is unique in the sense that no other solar systems with planets like ours are known. the sun is a star but there are many stars in the universe. our sun is the closet one in earth. and its the only one in our solar system.

find the value of x when 6-2x= 5x-9x+18

Answers

Answer:

x = 6

Step-by-step explanation:

6 - 2x = (5-9)x +18

6 - 2x = -4x +18

2x = 12

x = 6

Apparently it is not 36, someone please help.

Answers

Answer:

i think it would be 9

Step-by-step explanation:

Answer:

9cm

Step-by-step explanation:

the formula of the perimeter of a square is s+s+s+s which is simplified to s4

to solve this we go backwards

S4=36

divide both sides by 4

S=9

Oscar has elected to have 23% of his federal income tax withheld as state income tax. if $154.00 was withheld as federal income tax on his last paycheck, how much will be withheld from his paycheck for income tax in all? a. $35.42 b. $118.58 c. $177.00 d. $189.42 please select the best answer from the choices provided a b c d

Answers

The amount that will be withheld from his paycheck for income tax in all is d. $189.42.

What is the amount withheld?

The amount withheld is a credit against the income taxes the employee must pay during the year.

The amount withheld from his paycheck for income tax in all is given by;

Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)

Where:

State income tax=$154.00

Percentage of federal income tax=23%

Substitute all the values in the formula

Amount withheld=$154.00+($154,00×23%)

Amount withheld=$154.00+$35.42

Amount withheld=$189.42

Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.

Learn more about income tax here:

brainly.com/question/25641320

Tim can paint a room in 6 hours. Bella can paint the same room in 4 hours. How long will it take if Tim and Bella work together?

Answers

Answer:

Step-by-step explanation:

[tex]\sf \text{Work done by Tim in 1 hour = $\dfrac{1}{6}$}\\\\\text{Work done by Bella in 1 hour = $\dfrac{1}{4}$}[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour =$\dfrac{1}{6}+\dfrac{1}{4}$}[/tex]

                                                                      [tex]=\dfrac{1*4}{6*4}+\dfrac{1*6}{4*6}\\\\=\dfrac{4}{24}+\dfrac{6}{24}\\\\=\dfrac{10}{24}\\\\= \dfrac{5}{12}[/tex]

[tex]\bf Time \ taken = \dfrac{12}{5}[/tex]

                     = 2.4 hours

                     [tex]= 2 \ hours \ 24 minutes[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour = \dfrac{1}{6}+\dfrac{1}{4}}[/tex]

Inali ate 3/8 of a pizza. His friend ate 1/4 of the
pizza. How much did they eat all together.

Answers

Answer:

5/8

Step-by-Step Explanation:

Inali - ate 3/8

His Friend - ate 1/4, but you need it with denominator of 8 so you can do 1/4=x/8 and x=2

Now, you have to add 3/8 plus 2/8 and you get 5/8.

please help, thank you if you do!

Answers

Answer:

The constant ratio is 2.

Explanation:

Everything is multiplied by 2.

I hope this helps. :)

3. What is the surface area of this composite solid? Show your work.
5 ft
5 ft
3 ft
4 ft
10 ft
8 ft

Answers

If I were you, I would cut the solid in half where the dashed line on the triangle height is. After that, just solve for the area of each face. Add those up together. After that, just multiply your sum by 2, since you previously split the solid in half earlier.

Hope this helps!

Using the information in the Venn diagram below, how many people play basketball? A. 5 B. 9 C. 12 D. 17 4 D. 5

Answers

Answer:

52 people

Step-by-step explanation:

add 5 9 12 17 4 5 and youlk get 52 people.

Answer:

its 5

Step-by-step explanation:

Question 2 You have to make a model of the Great Pyramid at Giza, painted to look as close to identical as possible. Which term best describes the part that you must cover?
Volume
Area
Surface Area
Lateral Area​

Answers

The term that describes the part of the model of the Great Pyramid to be painted is called the: lateral area.

What is the Lateral Area of a Pyramid?

The lateral area of any pyramid is the area covered by the slant lateral faces of the pyramid. This excludes the base area of the pyramid.

The best term that describes the part of the Great Pyramid to be covered is therefore known as: lateral area.

Learn more about lateral area on:

https://brainly.com/question/12308519

By visual inspection,determine the best fitting regression model for the scatter plot

Answers

Answer:

The answer is quadratic

Step-by-step explanation:

I just took the quiz and got this question correct, also it cant be linear because if it were linear, it would be more of a straight shape, but this is more of a u shape, if it were exponential, it would look more drawn out to the sides i believe, and if it were no pattern, there would just be dot points threwn at random spots. Therefore, the answer is Quadratic.

Which is different?
How much does it take to fill the cylinder?
What is the capacity of the cylinder?
How much does it take to cover the cylinder?
How much does the cylinder contain?

Answers

Answer:

Step-by-step explanation:

Remark

A B and D refer to what the cylinder can contain. They all refer to the hollowed out part of the cylinder.

C is the only one that talks about what you need to cover the cylinder with (say) paper or cloth. C is external to the surface of the cylinder.

Answer: C

According to the directions in a bottle of Armstrong concentrated floor cleaner for routine cleaning 1/4 cup of cleaner should be mixed with 1 gal of warm water. How much cleaner should be mixed with
10 1/2 gal of water ?

Answers

Answer:

2 and 3/4 cups

Step-by-step explanation:

because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups

What the location of point A?
Will mark brainlyest!!

Answers

Answer:

C) (-5,8)

Step-by-step explanation:

The format for point is (x,y)

X is the horzontal (left or right)

Y is verticle (Up or down)

Remember that left and down are negatives

So you move 5 times to the left, thus -5

You move 8 upwards, thus 8

The answer is (-5,8)

Hope this helps!

1/3m - 1 - 1/2n evalute

Answers

Answer:

Step-by-step explanation:

1) Simplify 1/3m to m/3.

m/3 - 1 - 1/2n

2) Simplify 1/2n to n/2.

m/3 - 1 - n/2

What is the answer? Please

NO LINKS!!!

Answers

Answer:

3 If they all have to be different

Step-by-step explanation:

small

medium

large

medium

large

small

large

medium

small

im going to a behavior health hospital (mental hospital) in a few hours but they cant fint a bed so ill be at the reg hospital for a while wish me luck yall :)

Answers

Answer:

good luck bestie

sending best of luck~♡

Quadrilateral JKLM is inscribed in circle R.
68
What is m L?
Enter your answer in the box.
105
XK
•R
L
M

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know, opposite sides of a cyclic quadrilateral add up to 180°, let's use this property to find Angle L

[tex]\qquad \tt \dashrightarrow \: \angle L + 68 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle L = 180 - 68[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle L = 112 \degree[/tex]

So, measure of Angle L is 112°

4 x 10 to the power of 7 is ? times as much as 4 x 10 to the power of 3.
A. 4 x 10(4)
B. 10(4)
C. 10(10)
D. 4 x 10(10)

Answers

Answer:

The right choise is

b. 10(4)

Step-by-step explanation:

B) 10(4).

Answer: the answer is b 10(4)

The basketball team has 20 more players than the baseball team does. There are 100 players total. How many players play basketball? How many players play baseball?

Answers

Answer:

Basketball team has 60 players
Baseball team has 40 players

Step-by-step explanation:

60 + 40 = 100

i think this should be pretty easy, just not for me lol. please help!

Answers

Answer:

(1) False. (2) True. (3) True. (4) True. (5) True

Step-by-step explanation:

This is really easy :)

You decide to bake a pizza. The pizza crust that you purchase has a diameter of 14 inches.


If you decide to do stuffed crust, you need to put cheese around the outer edge. How many inches of cheese do you need?


How much space do you have to cover with sauce, cheese, and toppings?

Answers

Using the circumference of the pizza, it is found that you have 44 inches to cover the pizza.

What is the circumference of a circle?


The circumference of a circle is the length of it's outer edge, and considering a diameter d, is given by:

[tex]C = \pi d[/tex]

In this problem, the diameter is of 14 inches, hence the circumference is given by:

C = 14pi = 44 inches.

You have 44 inches to cover the pizza.

More can be learned about the circumference of a circle at https://brainly.com/question/3627279

#SPJ1

On a test that has a normal distribution, a score of 25 falls three standard deviations
below the mean, and a score of 35 falls two standard deviations above the mean.
Determine the mean of this test.

Answers

Answer: 31

Step-by-step explanation: 25 and 35 are 5 standard deviations apart

35-25/5 =10/15 =2

Add/ Subtract 2 each time

Other Questions
The circle above has center O, the length of arc ADC is 57, and x = 100. What is the length of arc ABC ? All of the following are methods used by European governments to reduce air pollution except _____ A. building public transit B. placing emission requirements on cars C. reducing investments in renewable energy sources D. filtering gases before they enter the atmosphere The greater the mass of an object, the more __________ you needed to move it. Why are nuclear weapons such a threat? A solenoid 1.85 m long and 2.20 cm in diameter carries a current of 21.0 A. The magnetic field inside the solenoid is 25.0 mT. Find the length of the wire forming the solenoid. Last year, rustys tools experienced $67,550 in net sales, creating a gross profit of $50,338. if rusty had a total operating expense of $35,200 last year, what was his net profit margin? a. 22.4% b. 52.1% c. 74.5% d. 79.0% Delta Math: Angle Terminology with Equations 1. Why do we need to conserve natural vegetation? For cost of capital purposes, the firm should always consider reinvested earnings as the first source of capital i.e. use these funds first- because reinvested earnings have no cost to the firm.A. TrueB. False How does the simile that is developed in the short paragraph beginningThe boy was off like a shot help you to visualise the scene being described? Please help me with this I need to get it done Who is most clearly demonstrating the false-consensus effect?. Which of the following explains Gregor Mendels contribution to the study of genetics?A. He laid the groundwork that formed the basis of the theory of heredity.B. He confirmed the current theory that offspring were a blend of the traits of their parents.C. He was able to determine that patterns of heredity could not be predicted.D. He invented the Punnett square to predict patterns of heredity. 2) What type of equation is compound interest formula?a)logarithmicb)polynomialc)exponentiald)lineare) none of the choices i dont get this please help 10) According to the Structural-Functionalist Perspective, hunger exists and persists globallybecause of which of the following: the failure of the different guy interrelated parts of the global society to function properly , the laziness of some human beings , the domination of some societies by men , the misuse of food Look at the photo to answer A rectangular driveway is 7 feet wide, and it has an area of a square feet. How long is the driveway? Please give how to solve every step Thank you Plot the vertices (-2, -8), (-2, 2), and (8,2).What is the last vertex of the rectangle?What is the area of the rectangle?square units Whoever answers correct can have brainliest but answer ASAP!