Need some help with these trigonometry questions

Need Some Help With These Trigonometry Questions

Answers

Answer 1

Answer: 11, 23, 166

Step-by-step explanation:

Hiya! From the drawings, I'm assuming all of the triangles are right-angled triangles. If they aren't though, tell me and I'll tell you how to solve them.

Anyways, assuming they are right angled-triangles, you can use Pythagoras' Theorem (aka a² + b² = c²)

c is the hypotenuse or the side opposite the right angle.

a and b are just the other two sides (doesn't really matter which is which)

Question 7:

c² = a² + b²

12² = a² + 5²

144 = a² + 25

144 - 25 = a²

119 = a²

a = 10.908712114635714411502154487373

(To the nearest whole number: 11)

Question 8:

c² = a² + b²

24² = 7² + b²

576 = 49 + b²

576 - 49 = b²

527 = b²

b = 22.956480566497992703585747092065

(To the nearest whole number: 23)

Question 9:

c² = a² + b²

c² = 90² + 140²

c² = 8,100 + 19,600

c² = 27,700

c = 166.43316977093238068928214785346

(To the nearest whole number: 166)

Hoped this helped! Tell me if there's something you don't understand. :)


Related Questions

The numerator of a fraction is 2 less than its denominator. If 3 is subtracted from the numerator and from the
denominator, the new fraction obtained is. Find the fraction.
A set of multimedia equipment costs $1900, By setting up an inequality, find the maximum number of sets of

Answers

The Fraction for the given word problem is x/y = 9/11

What is Fraction?

A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.

Let the fraction be x/y

The numerator of a fraction is 2 minus its denomination.

⇒ x = y - 2 .....(i)

When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4

⇒ x - 3/y - 3 = 3/4

Can also be written as

⇒ 4(x + 3) = 3(y - 3)

⇒ 4x - 12 = 3y - 9

⇒ 4x - 3y = -9 + 12

⇒ 4x - 3y = 3 .....(ii)

Substitute the value of (i) in (ii)

⇒ 4x - 3y = 3

⇒ 4(y - 2) - 3y = 3

⇒ 4y - 8 - 3y = 3

⇒ y - 8 = 3

⇒ y = 3 + 8

⇒ y = 11

Putting the value of y in (i).

⇒ x = y - 2

⇒ x = 11 - 2

⇒ x = 9

Hence, Fraction = x/y = 9/11

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A new social media site is increasing its user base by approximately 5% per month. If the site currently has 27,870 users, what will be the approximate user base be 6 months from now?

Answers

Answer:

37,349

Step-by-step explanation:

month 1

27870 x .05 = 1394

27870 + 1394 = 29264

month 2

29264 x .05 = 1463

29264 + 1463 = 30727

month 3

30727 × .05 = 1536

30727 + 1536 = 32263

month 4

32263 x .05 = 1613

32263 + 1613 = 33876

month 5

33876 x .05 = 1694

33876 + 1694 = 35570

month 6

35570 x .05 = 1779

35570 + 1779 = 37349

Answer:

35,570

Step-by-step explanation:

solution 1 - Multiply by 5%, 6 times. Easter to calculate without a calculator, long process.

1. 27870*1.05= 29,263.5

2. 29263.5*1.05=30726.675

3.repeat

4.repeat

5.repeat

6.repeat

if it's hard for you to multiply by 1.05, you can always divide by 20 or divide by 10 then by 2 (like the below)

1. 27870÷10= 2,787

2. 2787÷2= 1393.5

3. 27870+1393.5 = 29263.5

solution 2 -Fast but probably needs a calculator

1. 27870*1.05^(5)= 35570

1.05 = monthly increase

power of 5 = ^(5) = 6 months - 1 = 5

Which of the following statements are true about line segments?

Answers

Which of the following statements are true about line segments  

Answer: that connect two endpoints

A hurricane blows onto the East Coast of the United States on September 16, 2017. The maximum sustained wind speed is 176 kilometers (109 miles) per hour and the sea level height is pushed 2.3 meters (7.5 feet) above normal. What category is this hurricane

Answers

This hurricane would be classified as a Category 2 hurricane on the Saffir-Simpson Hurricane Wind Scale.

What hurricane classification is this?This hurricane would be classified as a Category 3 hurricane. The Saffir-Simpson Hurricane Wind Scale is used to classify hurricanes based on their maximum sustained wind speeds.Category 3 hurricanes have wind speeds between 178 and 209 kilometers (111 and 130 miles) per hour.The maximum sustained wind speed of this hurricane is 176 kilometers (109 miles) per hour, which is below the threshold for Category 4 hurricanes, but still within the range of Category 3 hurricanes. The storm surge is also a major factor in the classification of hurricanes. Storm surges are caused by the winds of a hurricane pushing the water of the ocean up onto the coast.This hurricane has a storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale does not take into account the height of storm surges. Therefore, this hurricane would be classified as a Category 3 hurricane due to its maximum sustained wind speed of 176 kilometers (109 miles) per hour and the storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale is a useful tool for measuring the severity of a hurricane and can help to prepare people in its path.

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When Souta went to Sweden, 1 Swedish krona was worth about 0. 12 US

dollar. He took d dollars on the trip. Which equation could be used to find

the value in Swedish krona, k, of the dollars?

A

k = 0. 12d

B

d

k=

0. 12

с

0. 12

k=

d

D k= 1. 12d

Answers

If 1 Swedish krona was worth 0.12 US dollar , and if he took d dollars for the trip then the equation that is used to find the value in Swedish krona (k) of the dollars is option (a) [tex]k = 0.12\times d[/tex] .

The value of 1 Swedish krona is = 0.12 US dollar ,

the number of dollar that Souta took on the trip is = d dollars ;

we have to find the equation that can be used to find the equation in Swedish krona "k" of the dollars ,

According to the question ,

the equation for Swedish krona can be represented as [tex]k = 0.12\times d[/tex] ;

Therefore , the required equation is [tex]k = 0.12\times d[/tex] .

The given question is incomplete , the complete question is

When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US dollar. He took d dollars on the trip. Which equation could be used to find the value in Swedish krona, k, of the dollars ?

(a) k = 0.12d

(b) dk = 0.12

(с) 0.12k = d

(d) k = 1.12d

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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 x 12 x 20 = 1920/2 = 960 cm^2

hope this helped

answer= 960

Step-by-step explanation:

On the cone below, the length of Line C B is 6 inches. A cone. C D is the diameter, C B is the radius, and A B is the height. What is the length of the diameter of the cone? 3 inches 6 inches 12 inches 24 inches

Answers

Answer:

12 inches

Step-by-step explanation:

Find the diagram attached;

Given the length of the line CD as 6inches.

Note that line CD is the base radius of the cone;

Since radius = Diameter/2

CD = diameter/2

6 = diameter/2

Diameter = 6 * 2

Diameter = 12 inches

Hence the length of the diameter of the cone is 12 inches

Answer:

12

Step-by-step explanation:

Given the circle below with chords NO and PQ. Find the length of OR. Round to the nearest tenth if necessary.

Answers

Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.

Circle – what is it?

A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²

Here,

For each secant, the sum of the lengths from R to the circle's intersection points is the same:

=>RS*RT = RQ*RP

=>40(40 +31) = (44)(PQ +44)

=>40(71)/44 = PQ +44

=>PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11

=>PQ ≈ 20.5

Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.

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NEED HELPP QUICK NO LINKS PLEASE!!

Answers

Answer:

May be only relation 3 is the function.

If 8n + 25 = 65, then n is
a. 5.
648.
less than
of 45 is
b. 10.
C. 40.

Answers

8n+25=65
-25
8n=40
n=5 (answer choice a)

8n + 25 = 65

8n = 65 - 25

8n = 40

8n/ 8 =40/8

n = 5..

firstly I made 8n the subject of the formula by taking 25 to the other side which gives u 8n = 65 - 25and the reason why the sign changed chnged os because when send a number to the other side the sign changes and then i divided both sides by 8

Ricardo is 30 years old. He plan to retire when he is 60. He has opened a retirement account that pays 3,5% interest compounded monthly. If he makes monthly
deposits of $400, how much will he have in the account by the time he retires?

Answers

9514 1404 393

Answer:

  $254,165

Step-by-step explanation:

Assuming payments are made to the account at the end of the month, the balance is the sum of a geometric series with first term 400 and common ratio (1+0.035/12). The sum of 360 payments will be ...

  400((1+0.035/12)^360 -1)/(0.035/12) ≈ $254,165

Ricardo will have about $254,165 in his retirement account after 30 years.

Find the lengths of the diagonals of rectangle WXYZ
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.

Answers

A rectangle is a four-sided geometric shape where opposite sides are parallel and congruent. The diagonals of a rectangle are two lines that connect the opposite corners of the rectangle, and they bisect each other at 90 degrees.

Briefly defined, what is rectangle?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Given the sides of rectangle WXYZ are WY = 14x + 10 and XZ = 11x + 22. We can find the length of the diagonals using the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the diagonal of the rectangle) is equal to the sum of the squares of the other two sides (the sides of rectangle)

Diagonal WX: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)

Diagonal YZ: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)

So, the lengths of the diagonals of rectangle WXYZ are √(317x^2 + 940x + 584) units.

Note that the diagonals of a rectangle are congruent and the value of x is not a known, the diagonal of rectangle is the value of the square root of the expression.

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Answer: 66

Step-by-step explanation:

I skipped it to see the answer hope this helps

What are the worst and best time complexity and the best and worst time input given to sort a set of elements using bubble sort?

Answers

With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.

what is algorithm ?

A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. Integral calculus and differential calculus are the two varieties of calculus. These fields work together to let you calculate rate of change, a crucial component of many algorithms and programs. Particularly crucial are differential equations.

given

With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.

The outer loop, in the worst case, executes O(n) times.

Therefore, bubble sort's worst-case time complexity is O(n x n) = O(n x n) (n2).

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What is the value of 2/21 - 1/3


1. -5/21

2. 1/18

3. 5/21

4. 3/7


Whoever helps gets 15 points

Answers

answer: -5/21
explanation:

Which function has an asymptote at x = pi?
A. y=sec x
B. y=tan x
C. y=csc x
D. y=cos x

Answers

Answer:

C. y = csc x

Step-by-step explanation:

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

Answer:

y=sec x

Step-by-step explanation:

this is the correct answer, i put in the other persons answer and got it wrong

Someone help me pleaseeee

Answers

Answer:

1/5

Step-by-step explanation:

formula is y = kx

k is the constant of proportionality

when x is 5 y is 1

when x is 10 y is 2

so 1 = k * 5

so k = 1/5

In the diagram below, what is the value of x rounded to the nearest whole number? If necessary, round your answer to the nearest tenth of a unit. 17 с х D 10 24 O A. 24 O B. 17 O O C. 7 O D. 12​

Answers

Answer:

12

Step-by-step explanation:

There is no specific work, but  this is assuming that the triangles are cut in the middle equally, and 24/2 = 12  

Can someone plz help me I would appreciate it, thanks?!

Answers

Answer:

Hey I’m a friend of Carson’s, do u know what Ari‘s acc name is?

Step-by-step explanation:

Answer:

hi thanks for the question

Step-by-step explanation:

please help me with math!! :(

Answers

Answer:

addition property of equality

Step-by-step explanation:

A particle moves along the x-axis so that at time
t

0
t≥0 its position is given by
x
(
t
)
=
t
3

6
t
2

29.
x(t)=t
3
−6t
2
−29. Determine the total distance traveled by the particle from
0

t

7.
0≤t≤7.

Answers

The total distance traveled from 0 ≤ t ≤ 7, considering the position function x(t) = t³ - 6t² - 29, is given as follows:

288.75 units.

How to obtain the total distance traveled?

The position function for this problem is defined as follows:

x(t) = t³ - 6t² - 29.

The total distance traveled over an interval [a,b] is given by the definite integral of the function x(t) over the interval from x = a to x = b.

The definite integral in this problem is calculated as follows:

I = 0.25t^4 - 2t³ - 29t, from t = 0 to t = 7.

Applying the Fundamental Theorem of Calculus, the total distance is calculated as follows:

I = 0.25(7)^4 - 2(7)³ - 29(7) - (0.25(0)^4 - 2(0)³ - 29(0))

I = 288.75 units.

(which is the absolute value of the result of the definite integral).

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what is the y intercept

Answers

Answer:

-1

Step-by-step explanation

-1 is where the line intersects the y-axis

Eric went for a drive in his new car. He drove for 182.4 miles at a speed for 57 miles per hour. For how many hours did he drive?

Answers

Answer:

3.2 hours

Step-by-step explanation:

182.4÷57=3.2

time divided by speed equals time

a group of five people can do a piece of work in 6 hours calculate the time a group of 8 people will take to complete the same work ​

Answers

Answer:

3.75 hours

Step-by-step explanation:

Total time needed

5 * 6 = 30 hours

with 8 people

30/8 = 3.75 hours

3.75 hours i think
5•6=30
30/8=3.75

Quadrilateral ABCD below is reflected about line m. After the reflection, how is the perimeter of A'B'C'D' related to the perimeter of ABCD?
Quadrilateral ABCD below is rotated 180°. After the rotation, how is the area of A'B'C'D' related to the area of ABCD?

Answers

Reflection and rotation will not alter the perimeter of the quadrilateral

What is transformation?

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformations has basically classifications

non rigid transformationRigid transformation

Non rigid transformation are the transformation where the dimension or size of the object will be different going from preimage to the image, example is dilation

In rigid transformation, the dimensions of the object is maintained or not altered through out the transformation process. instance of rigid transformations are

rotationreflectiontranslation

Because the transformation used are all rigid transformations then all the sides will remain same and the perimeter conserved

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Roxanne is comparing the monthly payments for a new car at two different car dealerships.

Dealership A: The car costs $30,000, and the loan has an annual interest rate of 4.8%.
Dealership B: The car costs $29,800, and the loan has an annual interest rate of 5.4%.

Use the formula to determine the monthly payment for each dealership.

Assume that both interest rates are compounded monthly, there is no down payment, and each loan is for 60 months.

Answers

9514 1404 393

Answer:

  A: $563.39

  B: $567.84

Step-by-step explanation:

The attached shows the formula. The graphing calculator evaluates it for the different car choices.

The monthly payment for the car from Dealership A is $563.39.

The monthly payment for the car from Dealership B is $567.84.

Please help ASAP will give 5 stars and brainliest if possible!!

Answers

answer

the dot will be shaded and the line goes to the positive part because x is more than or equal to 3

someone help me pleaseee , whoever answers first i will mark as brainlyesy

Answers

Answer: the 1st one. can i get brainlist

Step-by-step explanation:

Answer:

Point form: (-6,15)

Equation Form: x = -6, y=15

Step-by-step explanation:

Paul took a 140 mile trip on his motorcycle. If he drove 60% of his trip on the first day, how many miles did Paul drive on day one? Answer value

Answers

Answer:

84 miles

Step-by-step explanation: 140/100 x 60 which gives you 84 miles

140/100 x 60 , which gives you 84 miles

one more than 4 times a number is 14​

Answers

Answer:

13 / 4 ( or ) 3.25

Step-by-step explanation:

Let the number be x.

4 times a number means,

4 ( x ) = 4x

One more than 4 times a number means,

4x + 1

One more than 4 times a number is 14,

4x + 1 = 14

4x = 14 - 1

4x = 13

x = 13 / 4

( or )

x = 3.25

Therefore, the number is 13 / 4 ( or ) 3.25

A boat moving at a constant rate will travel 26 miles in 2 hours. If the boat maintains this rate, how many miles will the boat travel in 5 hours?

Answers

Given:

A boat moving at a constant rate will travel 26 miles in 2 hours.

To find:

The distance that will the boat travel in 5 hours.

Solution:

It is given that,

The distance traveled by the boat in 2 hours = 26 miles

The distance traveled by the boat in 1 hour = [tex]\dfrac{26}{2}[/tex] miles

                                                                        = [tex]13[/tex] miles

The distance traveled by the boat in 5 hour = [tex]5\times 13[/tex] miles

                                                                         = [tex]65[/tex] miles

Therefore, the boat will travel 65 miles in 5 hours.

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