What is the value of cos theta in the diagram below
O 3/5
O3/4
O 4/5
O4/3

What Is The Value Of Cos Theta In The Diagram BelowO 3/5O3/4O 4/5O4/3

Answers

Answer 1

The value of cos θ is 3/5.

What is Trigonometry?

Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.

Here, given point on circle is (0.6, 0.8) or (3/5 , 4/5)

x - axis (base) = 3/5

y - axis (Perpendicular) = 4/5

Radius (Hypotenuse) = 1

Now, we know

cos θ = Base / Hypotenuse

cos θ = 3/5

Thus, the value of cos θ is 3/5.

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Related Questions

Find the length of diagonal BC of ABCD to the nearest hundredth.

Answers

The length of BC as shown in the diagram is 6.32units

Calculating distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the following coordinate points (3, 6) and (5, 0)

Substitute

BC = √(0-6)²+(5-3)²

BC = √(36+4)

BC = √40

BC = 6.32 units

Hence the length of BC as shown in the diagram is 6.32units

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Carly will be going to college in 3 years. she anticipates that she will need $12,000 to pay for the first year. she currently has $2,900 in a savings account. without including any interest earned, what is a reasonable estimate of the amount carly needs to deposit into the savings account per month over the next 3 years to be able to pay for her first year of college? $150 $250 $350 $450

Answers

The estimate of the amount carly needs to deposit into the savings account per month over the next 3 years to be able to pay for her first year of college is $250

Savings

Amount needed = $12,000Amount available = $2,900Number of months in three years = 12 × 3 = 36Amount of savings per week = x

12,000 = 2900 + 36x

12,000 - 2900 = 36x

9,100 = 36x

x = 9100 / 36

x = 252.777777777777

Approximately,

$250

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Answer:

The answer is B. $250

Step-by-step explanation:

hii can someone help thank you

Answers

you need to move it 9 times to the left so that there is a value between 1-9 on the left

What is the equation of the line that passes through the point (8,4) and has an undefined slope?

Answers

Answer:

x = 8

Step-by-step explanation:

An undefined slope indicates that the line is vertical and parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (8, 4 ) with x- coordinate 8 , then

x = 8 ← equation of line

4

If this helped you please mark brainlyest

Find the nature of the graph of the function y = -9x3 + 5x2 - 2x using end behavior.

Answers

The graph goes upwards on the left side and downwards on the right side, so the correct option is the first one.

How is the end behavior of the function?

We have the function:

[tex]y = -9*x^3 + 5*x^2 -2x[/tex]

This is a cubic polynomial with a negative leading coefficient.

So, when x takes large negative values, because the leading coefficient is negative, y will take large positive values.

And when x takes large positive values, because the leading coefficient is negative, y will take large negative values.

So the nature is:

The graph goes upwards on the left side and downwards on the right side. The correct option is the first one.

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A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.

(see attachment for table)

Based on the information, which statement about the eggs is correct?

Given the egg has _______, the egg was kept warmer than room temperature.

answer choices for blank: hatched, not hatched

Answers

Given the egg has hatched, the egg was kept warmer than room temperature.

Given:

                      Cool      Room temperature        Warm             Total

Hatched           5              16                                21                  42

Unhatched        18           10                                 4                   32

Total                 23            26                                25                    74

To fill the blank we need to analyse the temperature carefully if see the table then cool hatched eggs are 5 , unhatched cool eggs are 18, eggs on room temperature and hatched are 16, eggs on room temperature and unhatched are 10, warm hatched eggs are 21 and warm unhatched eggs

So we can notice that hatched eggs are more in room temperature.

Hence hatched eggs are more in room temperature.

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Answer:

Given the egg has hatched the egg was kept warmer than room temperature.

Hope this helped!

What is the length of the missing side of this triangle?


A
2

B
10

C
50

D
100


top side is 26 bottom side is 24 left side is whats missing

Answers

Answer:

B

Step-by-step explanation:

pythagorus theorem

a² + b² = c²

c² - b² = a²

26² - 24² = a²

676 - 576 = a²

a² = 100

a = 10

9 to the power of - half is equal to (as a fraction) 27 to the power of a quarter over 3 to the power of x-1
whats x?
9^(-1/2) = ((27^(1/4))/(3^(x-1)))

Answers

Answer:

[tex]x=\dfrac{11}{4}[/tex]

Step-by-step explanation:

Given:

[tex]9^{-\frac{1}{2}}=\dfrac{27^{\frac{1}{4}}}{3^{(x-1)}}[/tex]

Rewrite 9 as 3² and 27 as 3³:

[tex]\implies (3^2)^{-\frac{1}{2}}=\dfrac{(3^3)^{\frac{1}{4}}}{3^{(x-1)}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 3^{-1}=\dfrac{3^{\frac{3}{4}}}{3^{(x-1)}}[/tex]

Multiply both sides by [tex]3^{(x-1)}[/tex] :

[tex]\implies 3^{-1} \cdot 3^{(x-1)}=3^{\frac{3}{4}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies 3^{(-1+x-1)}=3^{\frac{3}{4}}[/tex]

[tex]\implies 3^{(x-2)}=3^{\frac{3}{4}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies x-2=\dfrac{3}{4}[/tex]

[tex]\implies 4(x-2)=3[/tex]

[tex]\implies 4x-8=3[/tex]

[tex]\implies 4x=11[/tex]

[tex]\implies x=\dfrac{11}{4}[/tex]

In order to create a system of equations that has the same solution as the system
x+y=4
2x+y = 7
complete three steps.
1
Step 1: Multiply the equation x + y = 4 by _[blank A]__.
Step 2: Add the equations 2x + y = 7 and _[blank B]_.
Step 3: Write the new system of equations as _[blank C]__.
Match each blank with the system or statement that correctly fills in that blank.

Answers

Blank A is -2. Blank B is -2x-2y=-8. Blank C is y=1

#Step1

Multiply by -2

It will result -2x-2y=-8

#2

-2x-2y=-8

#3

add

-y=-1y=1

Find x

x+1=4x=3

What is the factored form for the quadratic function below?
y = x² + 9x + 8
Oy=(x-9)(x - 1)
Oy=(x-8)(x - 1)
Oy= (x + 9) (x + 1)
Oy= (x + 8) (x + 1)

Answers

Answer:

D. y = (x + 8) (x + 1)

Explanation:

[tex]\sf y = x^2 + 9x + 8[/tex]

[tex]\rightarrow \sf y = x^2 + 9x + 8[/tex]

middle term split

[tex]\rightarrow \sf y = x^2 + 8x +x + 8[/tex]

factor the common terms

[tex]\rightarrow \sf y = x(x + 8) + 1(x + 8)[/tex]

collect into groups

[tex]\rightarrow \sf y = (x + 1)(x + 8)[/tex]

y=x²+9x+8y=x²+8x+x+8y=x(x+8)+1(x+8)y=(x+1)(x+8)

Option D

This week, Marie trimmed 61% of the bushes in her yard. Katie trimmed 7/20 of the bushes in her yard. Who has trimmed a greater percentage of her bushes?

Answers

Answer- Marie
7/20 = 0.35 = 35%
61% > 35%

Currently,nova is 3 times as old as Damon. in 8 years, she will be as only 2 times as old as Damon. How old will Damon be in 8 years?

Answers

Answer:

16

Step-by-step explanation:

consider X  = Damon's age

3x + 8 = 2x

x = 8

so Damon will be 16 in 8 years ( 8+8)

Answer:

16

Step-by-step explanation:

24/3 8

24+8=32

8+8=16

16/32=1/2

WILL MARK BRAINLEST
Fill in the missing work and justification for step 5 when solving 4(x + 1) = 8.



Step Work Justification

1 4(x + 1) = 8 Given

2 4x + 4 = 8 Distributive Property

3 4x + 4 − 4 = 8 − 4 Subtraction Property of Equality

4 4x = 4 Simplify

5

6 x = 1 Simplify

A 4x − 4 = 4 − 4; Subtraction Property of Equality

B 4x + 4 = 4 + 4; Addition Property of Equality

c Four times x over four equals four over four; Division Property of Equality

d 4x(4) = 4(4); Multiplication Property of Equality

Answers

Answer:

c) Four times x over four equals four over four; Division Property of Equality

===========================

Given equation and steps to solve it:

4(x + 1) = 84x + 4 = 84x + 4 - 4 = 8 - 44x = 44x/4 = 4/4                        This is the missing stepx = 1

All steps given above including the missing one. As we can see, we divided both sides by 4, so the justification for this step is Division Property of Equality.

Hence, the correct choice is C.

Answer:

Four times x over four equals four over four; Division Property of Equality

Option C

Step-by-step explanation:

See on antepenultimate step

4x=4

Now for getting x we have to divide each side by 4

We get.

4x)4=4/4x=1

Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.
Specifically, evaluate P at the proper value, and then determine whether x + 1 is a factor.

Answers

Answer: [tex]2x^2+2x-4-\frac{4}{x+1}[/tex]

Not a factor because there is a remainder.

Step-by-step explanation:

Let's use synthetic division to solve this..

-1  ║ 2 | 4 | -2 | -8

   ║    | -2| -2 |  4

   ║ 2 | 2|  -4 |  -4

[tex]2x^2+2x-4-\frac{4}{x+1}[/tex]

PS: if anyone knows a better way to do a synthetic division chart please let me know.

Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros. No, it is not. When the definition is separated into two conditional statements, one of the statements is false. Yes, it is. When the definition is separated into two conditional statements, one of the statements is true. Yes, it is. When the definition is separated into two conditional statements, both of the statements are true. No, it is not. When the definition is separated into two conditional statements, both of the statements are false.

Answers

The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

What happen when last two digit of the number are 0?

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, option A is the correct answer.

Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.

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The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

What is Integers?

An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, option A is the correct answer.

Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.

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explain this please thanks.

Answers

Answer:

Step-by-step explanation:

Two possible patters of sitting:

⇒ [tex]I) M W M W M W[/tex]

⇒ [tex]II) W M W M W M[/tex]

⇒ Three ways can be used to seat each set of three people, for a total of six.

⇒ There are two groups

2 × 3 = 6 (ways in six groups.)

*The two options can be distributed in two groups.

⇒ Total methods are equal to 6 * 6 * 2 = 72 ways.

At a track meet, the height of John's high jump was within 6 inches of the track record of 76 inches. What is
the range of heights for John's jump?

Answers

The range:
[tex]{x|70\leq x\leq 82[/tex]

The radius of a circle is 7 metres. What is the length of a 135° arc?

Answers

Answer:

16.5 meters

Step-by-step explanation:

The length of an arc of a circle = 2πr(C/360°) ;where:

C is the central angle of the arc,

R is the radius of the arc

Length of the arc = 2π(7)(135/360)

= 16.493

= 16.5 metres (approx.)

Answer:

Arc Length: 5.25π or [tex]\frac{21}{4} \pi[/tex]

Explanation:

An arc is the part of the circumference of a circle.

Formula:

[tex]\sf Arc \ Length = \dfrac{\theta}{360} \ \times \ 2\pi \ \times radius[/tex]

If applied:

[tex]\sf Arc \ Length = \dfrac{135}{360} \ \times \ 2\pi \ \times 7[/tex]

[tex]\sf Arc \ Length = \dfrac{3}{8} \ \times \ 14\pi[/tex]

[tex]\sf Arc \ Length = \dfrac{21}{4} \pi[/tex]

[tex]\sf Arc \ Length = 5.25 \pi[/tex]

(6 + 7) + 8 = 21

Choose an equivalent addition sentence that shows the associative property of addition.

Answers

Answer:

6 + (7 + 8) = 21

Step-by-step explanation:

the associative property of addition is: (a + b) + c = a + (b + c)

So the equivalent addition sentence would be:

(6 + 7) + 8 = 6 + (7 + 8) as they both equal 21

two number cubes are rolled. Deterimine the number of ways that you could get a sum that is less than 5. The number cube is out of 6

Answers

Answer: six ways

Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.

P(x)⋅Q(x)=R(x); if P(x)=x+1 and R(x)=2x3+2x2+3x+3, what is Q(x)?
A. 2x2+2
B. 2x2+3
C. 2x2−3
D. 2x2−2

Answers

Answer: B

Step-by-step explanation:

[tex]P(x) Q(x)=R(x) \implies Q(x)=\frac{R(x)}{P(x)}\\\\Q(x)=\frac{2x^{3}+2x^{2}+3x+3}{x+1}={2x^{2}(x+1)+3(x+1)}{x+1}=\boxed{2x^{2}+3}[/tex]

Solve for the value of x:-
4x+3(x-1)=67​

Answers

Answer:

x = 10

Step-by-step explanation:

4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side

4x + 3x - 3 = 67

7x - 3 = 67 ( add 3 to both sides )

7x = 70 ( divide both sides by 7 )

x = 10

Hi. . .

✦•···················•✦•···················•✦

A n s w e r : -

[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]

E x p l a n a t i o n :

Let's solve your equation step-by-step ~

➳ Step 1: Simplify both sides of the equation.

[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]

[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]

[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]

[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]

[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]

[tex]\sf{7x \: - \: 3 = 67}[/tex]

➺  Step 2: Add 3 to both sides.

[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]

[tex]\sf{7x = 70}[/tex]

➽ Step 3: Divide both sides by 7.

[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]

[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]

Hope It Helps...

Write the number in standard notation: 5.32 x 106?

Answers

Answer:

5.32⋅10−6

Step-by-step explanation:

Answer:

5320000

Step-by-step explanation:

standard notation form : 5320000

A recipe calls for 4 1/2 cups of flour. if you only make half of the recipe, then how many cups of flour do you need? express your answer as a mixed number. please help

Answers

Answer:

2 1/4

Step-by-step explanation:

Half of 4 is 2 and half of 1/2 is 1/4 so half of 4 1/2 is 2 1/4

A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the independent variable in the situation(0.5 points) C. What is the dependent variable in the situation? (0.5 points ) D. What is the slope of the line ? What does the slope represent in this scenario ? (0.5 points) E. What is the y-intercept of the line? What does the y intercept represent in this scenario? (0.5 points) F. Write the equation in slope intercept form that represents the situation (points ) G. What is the domain ? (Inequality notation ) (0.5 points) H. What is the range ? ( Inequality notation ) (0.5 points) How many weeks would it take Jorge to get 100 followers ? (points ) J. How many followers will Jorge have after 12 weeks ? (0.5 points)

Answers

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) =  18/3 = 6

It represents the increase in number of followers per week,

E) y-intercept is value of y when x=0

y-intercept = 82. It means his initial number of followers

F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.

Y=6x+82

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What is the decimal multiplier to increase by 93%?

Answers

Answer:

0.93

Step-by-step explanation:

Based of my calculation it would more than likely be 0.93

What is the speed of a wave with a wavelength of 10 meters

Answers

Any wave's speed is equal to its frequency times wavelength. Now, the question doesn't specifically state what kind of wave it is. Thus, there might be two distinct scenarios: If the wave is elastic (sound is an example), you can't calculate its speed unless you also know its frequency and wavelength. However, the speed in vacuum is constant (3*108 m/s) if the wave is electromagnetic (for instance, light). In order to maintain constant velocity, frequency must shift in response to variations in wavelength. The frequency of light rays is constant in all other optical media (apart from vacuum and air), although their velocity and wavelength change correspondingly. However, that is not the case here since if it must be an EM wave with a wavelength of 10 m, then it must be a radio wave that travels uniformly through all medium at a speed of 3*108 m/s.

Examine the equation.
-2(-x + 9) = 2(x - 9)
2x 18 = 2x - 18
This equation has
Infinite solutions
One solution
No solution

Answers

Answer:

No solution

Step-by-step explanation:

I know it’s simple but I’ve never been good at this topic please help —— 1232÷14

Answers

Answer:

88

Step-by-step explanation:

A bakery has a sale on cookies. If a customer buys a dozen cookies for $15, each additional single cookie is $0.75. What is an equation that shows how the total cost depends on the number of single cookies purchased? (Assume that the order starts with a dozen cookies.) How much would a dozen cookies plus six single cookies cost?

Answers

Answer:

T = 15 + 0.75c

T = $19.5

Step-by-step explanation:

Assume that T stands for total cost and c stands for number of single cookies purchased, the equation would be:

T = 15 + 0.75c

Therefore, a dozen cookies plus six single cookies would cost:

T = 15 + 0.75(6)

T = 15 + 4.5

T = $19.5

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Reviewing photographs of a location related to the case a. The potential energy stored in the compressed spring of a dart gun, with a spring constant of 62.00 N/m, is 0.940 J. Find by how much is the spring is compressed.b. A 0.010 kg dart is fired straight up. Find the vertical distance the dart travels from its position when the spring is compressed to its highest position.c. The same dart is now fired horizontally from a height of 4.70 m. The dart remains in contact until the spring reaches its equilibrium position. Find the horizontal velocity of the dart at that time.d. Find the horizontal distance from the equilibrium position at which the dart hits the ground. (d) Two alarm clocks are set to ring at intervals of 42 minutes and 56 minutes respectively. If the alarm clocks ring together at 0830, at what time will they next ring together again? In the semi-strong-form of market efficiency, fundamental analysis most likely requires the analyst to: What is the gradient of the blue line? Suppose you work in Management and are collaborating with Human Resources to create a regression equation to predict turnover (people quitting their jobs). You believe that job satisfaction (as measured on a 50-point scale), age of the employee (in years), and the current unemployment rate will all be useful predictors and you want to test your model. When building the Complete 2nd Order Model, you will need to do all EXCEPT which of the following: How I cite in this paragraphDespite several shortcomings GDP is commonly used as an indicator of social welfare. Most of the limitations are due to the fact that in essence the concept is not supposed to measure well-being. As a result, GDP fails to account for non-market transactions, wealth distribution, the effects of externalities, and the types of goods or services that are being produced within the economy. To compensate for these issues, different approaches to measuring welfare have been developed, including the Human Development Index (HDI), the Gross National Happiness Index (GNH), and the Social Progress Index (SPI).Raphael Zeder | Updated Jun 26, 2020 (Published Jan 28, 2015)