Find the value of cos θ for the angle shown

Find The Value Of Cos For The Angle Shown

Answers

Answer 1
7/4 sqrt(33)/4 4/7 sqrt(33)/7 --> 4/7
Answer 2
cos θ = cos (360 - θ) = 4/sqrt(4^2 + (-√33)^2) = 4/sqrt(16 + 33) = 4/sqrt(49) = 4/7

Related Questions

2 1/2 divided by 4. can you please answer i need help

Answers

The answer would be 5/8, 62.5% in percentage mode, and 0.625 in decimal.

Convert 2 1/2 to a
improper fraction

Simplify 2 * 2 to 4

Simplify 4 + 1 to 5

Simplify

Simplify 2 * 4 to 8

Now fuse it together and it would be 5/8.

Answer:

5/8

Step-by-step explanation:


convert .98 to percent ...?

Answers

in  .98  you'd move the decimal twice to the right so it will be 98%
We simply multiply a decimal by 100 to convert it into a percentage.
0.98 x 100 = 98%

You deposit 6000 in an account that pays 5.25 interest compounded semiannually. after 10 years, the interest rate is increased to 5.4% compounded quarterly. what will be the value of the account after 18 years. (round to the nearest dollar)

Answers

Final answer:

The account value after 18 years with an initial deposit of $6,000 and a change in interest rate and compounding periods is approximately $15,526 when rounded to the nearest dollar.

Explanation:

To calculate the value of the account after 18 years with a change in the interest rate and compounding periods, we need to use the compound interest formula separately for the two different periods and rates.

First, we compound the original $6,000 at 5.25% semiannually for 10 years:

A = P(1 + r/n)(nt)

A = $6,000(1 + 0.0525/2)(2*10) = $6,000(1.02625)20 = $9,984.21 (rounded)

Now, we take the amount after 10 years and compound it at 5.4% quarterly for the remaining 8 years:

A = P(1 + r/n)(nt)

A = $9,984.21(1 + 0.054/4)(4*8) = $9,984.21(1.0135)32 = $15,526.14 (rounded)

So, after 18 years, the value of the account would be $15,526 (rounded to the nearest dollar).

3. All but one of the following statements contains a blunder. Which statement is correct? (a) There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight. (b) The correlation between number of seeds planted and amount of grass grown was found to be r = 0.23 acres. (c) The correlation between the gas mileage of a car and its weight is r = 0.71 MPG. (d) We found a high correlation (r = 1.09) between the height and age of children. (e) We found a correlation of r = -.63 between gender and political party preference.

Answers

I'm pretty sure it's b.. when in doubt choose b
Final answer:

The correct statement is (a), 'There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight.' Correlation values range from -1 to +1, and units or nominal variables can't be used.

Explanation:

The correct statement among the given options is (a) 'There is a correlation of 0.54 between the social intelligence of a 6-year old and his weight.' In a correlation, the value ranges from -1 to +1 where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation. The other statements, (b), (c), (d) and (e), are blunders because the correlation value (r) in (d) exceeds +1 which is impossible, the units in (b) and (c) are incorrectly applied as correlation doesn't have physical units, and in (e), gender is a nominal variable for which correlation cannot be calculated.

Learn more about Correlation here:

https://brainly.com/question/36761554

#SPJ3

The hu family goes out for lunch and the price of the meal is $45 the sales tax on the meal is 6% and the family also leaves a 20% tip on the pre-tax amount what is the total cost of the meal ?

Answers

$56.70 Is your answer

Which of the following algebraic equations could represent the sentence, "The product of a number and five is 11"?


a,x+ 5 = 11
b,x- 5 = 11
c,= 11
d,5x= 11

Answers

The Answer Is : X + 5 = 11

if sin theta =1/4, theta in quadrant II, find the exact value of cos[theta +pi/6]

Answers

Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)

The exact value of cos(θ + π/6) when sin θ = 1/4 and θ is in quadrant II is (-√(45) - 1)/8, found by using the Pythagorean identity and the angle sum identity.

To find the exact value of cos(θ + π/6) when sin θ = 1/4 and θ is in quadrant II, we can use trigonometric identities and properties of angles. First, we use the Pythagorean identity to find cos θ. Since θ is in the second quadrant, cos θ is negative and solving for cos θ gives cos θ = -√(1 - sin² θ) = -√(1 - (1/4)²) = -√(15)/4.

Next, we apply the angle sum identity for cosine, which is cos(α + β) = cos α cos β - sin α sin β. Using this identity, we find:

cos(θ + π/6) = cos θ cos(π/6) - sin θ sin(π/6) = (-√(15)/4)(√(3)/2) - (1/4)(1/2) = -√(45)/8 - 1/8 = (-√(45) - 1) / 8.

1.) 7, 9, 11, 13, . . . is it 2.) 2,1, 1 , 1
2 4
A.) arithmetic A.) arithmetic
B.) geometric B.) geometric
C.) both C.) both
D.) neither D.) neither

Answers

I am gonna guess it is C. Both for this one.

Which completes the syllogism? If a polygon is a square, then it has four congruent sides. If a polygon has four congruent sides, then it is a rhombus. Therefore, …
A. if a polygon is a square, then it is a rhombus.

B.if a polygon is a rhombus, then it is a square.

C.if a polygon is a rhombus, then it is a parallelogram.

D.if a polygon has four congruent sides, then it is a square.

Answers

D.if a polygon has four congruent sides, then it is a square.

Answer:

Step-by-step explanation:

Claire can run 100 meters in 17 seconds. what is her speed in meters per second?

Answers

Her speed is about 5.9 meters per second.

How many 20 cm by 30 cm rectangular tiles would you need to tile the outdoor are shown below?
I calculated that the area of the shape is 10.95m squared, but the answer in the book (183 tiles) is different then the answer I got.
Where did I go wrong?

Answers

What answer did you get.



Final answer:

The issue was inconsistent units - converting everything to cm squared, the appropriate number of 20 by 30 cm tiles to cover an area of 10.95m squared is 183.

Explanation:

The problem here involves area measurement and conversions. The area of the outdoor space is given in square meters (m²), while the area of the tiles is given in square centimeters (cm²). Therefore, the first step here is to convert all measurements to the same unit.

Since 1 meter is equal to 100 centimeters, we can convert the area of the outdoor space to square centimeters by squaring 100 (which equals to 10,000) and then multiplying it by the area in square meters. That gives us 109,500 cm².

Next, to find the area of a single tile we multiply its length by its width, which is 20 cm by 30 cm, giving us 600 cm². The number of tiles needed will be the total area divided by the area of one tile. So, 109,500 cm² divided by 600 cm² equals to about 182.5.

Since we cannot have a half tile, we round up that number to 183 tiles. Therefore, the correct answer is 183 tiles.

Learn more about Area calculation here:

https://brainly.com/question/32024069

#SPJ2

A rectangle has an area of 3 square feet and a width of 1/2 foot. What is the length of the rectangle ?

Answers

We Know, Area = Length * Width
Here, A = 3
W = 1/2

Substitute it into the expression,
3 = L * 1/2
L = 3/ 1/2
L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

Hope this helps!

Which statement describes the graph of f(x) = 4x2 + 20x + 25?

The graph does not intersect the x-axis.
The graph touches the x-axis at (–2.5, 0).
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
The graph intersects the x-axis at (2, 0) and (5, 0).

Answers

the answer is 

y = f(x) = 4x2 + 20x + 25= (2x+5)²
(2x+5)²=0 implies (2x+5)=0 implies 2x=-5, x = –2.5

finally the answer is 
The graph touches the x-axis at (–2.5, 0).

The graph touches the x-axis at (–2.5, 0). The answer is the second option The graph touches the x-axis at (–2.5, 0)

Graph of a quadratic function

The given function is f(x) = 4x² + 20x + 25

The table of values for the function from -1 to -4 is

x          -1     -2   -3    -4

f(x)       9      1   1      9

The graph of the function is attached below

From the graph, we can observe that the graph touches the x-axis at the point (-2.5, 0)

Hence, the graph touches the x-axis at (–2.5, 0). The answer is the second option The graph touches the x-axis at (–2.5, 0).

Learn more on Graph of a quadratic function here: https://brainly.com/question/13724583

A basketball player scored 19 times during one game. She scored a total of 25 points, two for each two-point shot and one for each free throw. How many two point shots did she make? How many free throws?

Answers

6 two-pointers and 13 free throws

Answer:

Step-by-step explanation:

It said free points

Fill in the blank: A concave polygon is ________ that _______ ...?

Answers

Hi , here is the answer
A concave polygon is a polygon that has one or more interior angles greater than 180 degrees.
 

A concave polygon is polygon that is not convex

Explain why the graph shown may be misleading.

Answers

this could be misleading because the vehicles have space in between them. It could be misleading and/or inaccurate because there is "space" not getting measured

As they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.

What is graph?

It is defined as the data representation in visual way, and it makes the appearance of the data simpler.

As we can see in the graph:

Total of 40 compact cars, 4 of 10 each.

Total of 30 mid-size, 3 of 10 each.

And Total of 20 trucks,

However, they all appear to have the same start and end points in the graph, with the mid-sizes being longer than the compacts and the trucks being considerably larger than the others above it, virtually implying that the amounts for all are identical for that period.

Thus, as they are lined out, the amounts must correlate horizontally, so the compacts should be longer than the rest, the mid-size behind it, and the trucks half-way between the compacts and the mid-size.

Learn more about the graph here:

https://brainly.com/question/16608196

#SPJ2

Explain why you can use subtraction to solve a division problem.

Answers

Modular Arithmetic
a is congruent to bmod (n)
Note that b is remainder after a goes into n
since n|a-b
consider 5z={0,1,2,3,4}
12=2mod5 since 5|12-2 => 5|10 => 2 which is remainder of 5 into 12 two times

what is this equation in slope intercept form? 4y+12x=0

Answers

4y + 12x - 12x = 0 - 12x
4y = -12x
y = -3x
Final answer:

The equation 4y + 12x = 0 in slope-intercept form is y = -3x. The slope (m) is -3, and since there is no constant term, the y-intercept (b) is 0.

Explanation:

The equation provided, 4y + 12x = 0, can be converted into slope-intercept form, which is represented by y = mx + b. The slope, m, indicates the steepness of the line, while the y-intercept, b, denotes the y-value when x equals zero or where the line crosses the y-axis. Let's rearrange the equation step-by-step:

First, isolate the y variable by subtracting 12x from both sides: 4y = -12x.Next, divide each side by 4 to solve for y: y = -12x / 4.This simplifies to: y = -3x.

Here, the slope (m) is -3, indicating a decrease in y by 3 units for every increase of 1 unit in x. The equation does not have a b term, thereby indicating that the y-intercept (b) is 0. Hence, the slope-intercept form of the equation is y = -3x + 0, which can be simplified to y = -3x.

Are 37 and 65 71 82 are prime or composite number

Answers

I hope this helps you




37=1.37 prime


71=1.71 prime


65=5.13 composite


82=2.41 composite

PLEASE ANYONE HELP MEEE!!!!

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

A.

26 cm
B.

52 cm
C.

75 cm
D.

100 cm"

Answers

Well, as the  apothem is  = s/2*Tan(180/n). 
5 = S/2*Tan(180/3), S = 17.32 cm. 
P = 17.32 + 17.32 + 17.32 = 52 cm.
So your option will be the second one: B. 52 cm.
Hope this is useful

Please help
F(x)=x^2 +1, g(x)=5x how to solve

Answers

Set them equal to each other and solve for x

x^2+1 = 5x
x^2-5x+1 = 0

using the quadratic formula from here yields 

x = 4.791287848 or x = 0.208712152

which are approximate solutions

How much would Howard Steele need to invest today so that he may withdraw $12,000 each year for the next 20 years, assuming a rate of 8 percent compounded annually? $117,817.20 or $454,144.00 or $112,817.20 or $549,144.

Answers

The best answer will be the $117,817.20. Howard Steele need to invest $117,817.20

Which of the following is a counterexample to that statement “All prime numbers are odd”

a:The statement has no counterexamples

b:What you are trying to prove

c:The theorems you will use

d: The definitions of important vocabulary




...?

Answers

The best and most correct answer among the choices provided by your question is the first choice or letter A.

The statement above has no counter-examples.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

What is 36/60 as a decimal?

Answers

It would be: 36/60 = 6/10 = 0.6

So, in decimal form, it would be 0.6

Hope it helped.

PLEASE HELP

Which is a true statement about any two congruent chords in a circle?

A. They form an angle.
B. They are perpendicular.
C. They are parallel.
D. They are equidistant from the center of the circle.

Answers

D. They are equidistant from the center of the circle

In other words, they are the same distance away from the center

What is the value of the expression when a = 4, b = 3 ,and c = 10? 3a4b−c

Answers

Answer:

9yb

Step-by-step explanation:

A rectangle has a width of 7.9 ft and a perimeter of 27.2 ft.



Enter the length of the rectangle, in decimal form, in the box.

Answers

2(l + b) = 27.2
2(l + 7.9)= 27.2
2l + 15.8 = 27.2
2l = 11.4
l = 5.7 ft

I just had the same question and the answer was 5.7. Hope this helps somebody

How many atoms of oxygen are in one formula unit of Ca(No3)2?

Answers

The answer here would be 6 atoms
The given compound is Calcium Nitrate, which is formed by combing Calcium, Oxygen and Nitrogen atoms.

In the compound [tex]Ca(NO_3 )_2[/tex],the subscript, 3 implies that, there are three atoms of oxygen in the parenthesis.

The 2 outside the parenthesis tells us the nitrate[tex](NO_3)[/tex] is doubled and that each atom is also doubled.

In order to obtain the number of oxygen atoms in the compound, we have to multiply the subscript, [tex]3[/tex] of oxygen, by the subscript [tex]2[/tex] which is outside the parenthesis.

This implies that,

The number of oxygen atoms [tex]=3\times2=6[/tex]

Therefore there are [tex]6[/tex] oxygen atoms in the given compound.

WriteTwo Equivalent Ratios For The Given Ratio 9/10
...?

Answers

Equivalent ratios both the numerator and denominator by the same value, e.g.
27/30
18/20

Solve for y. y 1.05 = 7.26 y = 8.31 y = -8.31 y = 6.21 y = -6.21

Answers

You haven't written the question properly because we have nothing to base y on.

Move all terms not containing  y  to the right side of the equation. You should get y=6.21

Other Questions
2. While looking at a cell under a microscope, a scientist is able to see a biological molecule. This molecule is a nucleic acid with a ladder structure and contains the nitrogenous bases adenine, thymine, cytosine, and guanine. Based on this information, what conclusion can the scientist draw regarding this nucleic acid?(A)The nucleic acid is DNA and would be found in the cells nucleus.(B)The nucleic acid is DNA and would be found in the cytoplasm.(C)The nucleic acid is RNA and would be found in the cytoplasm.(D) nucleic acid is RNA and would be found in the cells nucleus. ...? Which of the following statements best describes the average standard of living for much of human history, prior to the industrial revolution? Why was Alice Paul such a significant woman during the Progressive Era?She was the president of the National Woman's Suffrage Association and an author.She was the leader of the suffrage movement's most militant wing and proposed an Equal Rights Amendment in 1920.She was an African American author who wrote books about racism and separation of races.She was the first woman to graduate from Harvard Law School. The area of a rectangular plot of land is given by the polynomial [tex] x^{2} [/tex] + 5x - 36.Which pair of expressions could represent the sides of the plot of land?A) (x - 4)(x - 9)B) (x - 4)(x + 9) which Mineral properties depend on composition a. structure b. luster c. cleavage or d. streak? If three people share1/2pound of peanuts equally how much will each have The assassination of ______ was the immediate cause of world war i. How did other European nations respond to German imperialism and militarism before World War I? They ignored Germany's militarism and imperialism in an effort to avoid war. They launched massive attacks on Germany's naval fleet to limit its naval force. They built up their supply of arms and made agreements to support each other in the event of war. They focused on nationalist movements in their own nations and rejected military alliances with others. why is the longer chromosome pair used to model crossing over? What are the major factors that influence the rock cycle Harrington City Park has recently become quite run-down.This sentence is an example of the writers _________, or perspective, on the topic. Ella _____________ profesora. Find the volume of the composite solid. Round your answer to the nearest hundredth.A. 239.23cm^3B.246.08 cm ^3C. 294.03 cm ^3D. 308.78 cm^3 A confined aquifer is _____.A) found in the unsaturated zoneB) found between two impermeable layersC) the top layer of the saturated zoneD) separated from the main groundwater Dana plans to swim to achieve fitness. She claims that because you stretch during swimming, there is no need to cool down. How would you respond? A person is standing exactly 36 ft from a telephone pole. There is a 30 angle of elevation from the ground to the top of the pole. What is the height of the pole? Explain how a mother and a father with two eyes can have one eyed offspring. storage place for arms Gualtier's subjects first doubt Griselda's worthiness as a bride because ?a) she is from a lower social class b) she is know to posses masculine qualities c) she has a husband already d) she is unkind toward others what are 2 things lyddie appreciates about living in a boarding house. Steam Workshop Downloader