If 0 lies in the quadrant IV. What can be the value of cos 0 ?​

Answer:

<

Step-by-step explanation:

negative + positive = positive - positive

positive - negative = positive + positive

a = positive b = negative

a+b < a-b

Answer:

<

a + b is smaller than a - b as b is in the realm of negative numbers.

Answer:

Step-by-step explanation:

The unit price of each is $4,53

Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.

$31,75 ÷ 7 = $4,53

Therefore, the unit value of each DVD is $4,53

For the given relation, the coefficient is (1/5) and the exponent is 1.

For a relation of the form:

[tex]y = a*x^n[/tex]

a is the coefficient and n is the exponent.

In this case, we have:

[tex]y = \frac{x}{5}[/tex]

This can be rewritten to:

[tex]y = \frac{1}{5}*x^1[/tex]

So we can see that the coefficient is (1/5), and the exponent is 1.

If you want to learn more about exponents:

https://brainly.com/question/11975096

#SPJ1

Answer:

Irrational.

Step by step explanation:

[tex]\sqrt 6 + \dfrac{2}{3}\\\\\\=\dfrac{3\sqrt 6 +2}{3}\\\\\text{The sum of the these two numbers cannot be expressed as the the ratio of two integers,}\\\\\text{So the sum is not rational.}[/tex]

The answers to the given question are as follows:-

1.  Cos(∠mA)  =  [tex]\dfrac{3}{5}[/tex]

2. Sin(∠mA)   = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]

3. Tan(∠mB)  =  [tex]\dfrac{b}{a}[/tex]

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The angles will be calculated by using trigonometric identities.

1. For the first triangle:-

Cos∠mA = [tex]\rm \dfrac{Base}{Hypotenuse}[/tex]

We can see in the first triangle base is 3 and the hypotenuse is 5.

Cos∠mA =  [tex]\dfrac{3}{5}[/tex]

2. For the second triangle:-

Sin∠mA = [tex]\rm \dfrac{Perpendicualr }{Hypotenuse}[/tex]

We can see in the first triangle Perpendicular is √20 and the hypotenuse is √35.

Sin∠mA =  [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]

3. For the third triangle:-

Tan∠mB = [tex]\rm \dfrac{Perpendicualr }{Base}[/tex]

We can see in the first triangle Perpendicular is b and the Base is a.

Tan∠mA =  [tex]\dfrac{b}{a}[/tex]

Therefore  answers to the given question are as follows:-1. Cos(∠mA)  =  [tex]\dfrac{3}{5}[/tex]2. Sin(∠mA)   = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex] and 3. Tan(∠mB)  =  [tex]\dfrac{b}{a}[/tex]

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

The solution to x^2 - 4x = 5 is x = -1 or 5

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

Read more about quadratic equations at:

https://brainly.com/question/10449635

#SPJ1

The equation of the transformed function is y = 5cos(x/4 + 60) - 3

The equation of the graph is given as:

y = cos(x)

The rule of downward shift is:

(x, y) ⇒ (x, y - h)

So, the function when shifted downwards by 3 units is

y = cos(x) - 3

The rule of horizontal shrink is:

(x, y) ⇒ (x/k, y)

So, the function when shrink horizontally by a fourth unit is:

y = cos(x/4) - 3

The rule of left shift is:

(x, y) ⇒ (x +h, y)

So, the function when shifted left by 60 units is

y = cos(x/4 + 60) - 3

The amplitude is given as:

A= 5

So, we have:

y = 5cos(x/4 + 60) - 3

Hence, the equation of the transformed function is y = 5cos(x/4 + 60) - 3

Read more about function transformation at:

https://brainly.com/question/4025726

#SPJ1

Answer:

3

Step-by-step explanation:

To find the Greatest common factor (GCF) of 3m-12n we find the highest letters and/or numbers that is a factor of both :

3m-12n

Both have a common factor of 3 :

[tex]\frac{3m-12n}{3} = m-4n[/tex]

m-4n cannot be simplified anymore so the gcf of 3m-12n is 3.

Hope this helped and have a good day

Answer: The correct answer is 13776.

Explanation: There are 3024 five-digit numbers that begin with the digit 4 with no repetition.

Answer:

£ 2121.8

Step-by-step explanation:

The formula to find the compound interest is :

[tex]A=P(1+\frac{R}{100} )^n[/tex]

Here,

A = Amount ⇒ ?

P ⇒ Principal ⇒ £2000

R ⇒ Interest rate ⇒ 3%

n ⇒ Time  ⇒ 2 years

Let us find now.

[tex]A=P(1+\frac{R}{100} )^n[/tex]

[tex]A=2000(1+\frac{3}{100} )^2[/tex]

[tex]A=2000(1+0.03 )^2[/tex]

[tex]A=2000(1.03 )^2[/tex]

[tex]A=2000*1.0609[/tex]

[tex]A=2121.8[/tex]

Therefore, there will be £ 2121.8 in the bank account after 2 years.

Answer:

v = √(LT/m)

Step-by-step explanation:

Given :

Multiply both sides with L :

Divide both sides by m :

Take the square root on each side :

Answer:

[tex]v = \sqrt{ \frac{tl}{m} } [/tex]

Step-by-step explanation:

[tex]t = \frac{mv {}^{2} }{l} \\ making \: v \: the \: subject \\ t \times l = mv {}^{2} \\ dividing \: bothsides \: by \: m \\ \frac{tl}{m} = \frac{mv {}^{2} }{m} \\ v {}^{2} = \frac{tl}{m} \\ finally \\ v = \sqrt{ \frac{tl}{m} } [/tex]

answer:

1769.344983 or 1769.34 (depends on what you’re rounding to)

explanation:

- the equation for a cylinder‘s surface area is: (2 π r h)+(2 π r^2)

so 2 just means x2

π is just pi

r is your radius and for this equation your radius is 8 cm

and h is your height so for this equation your height is 27.2 cm

- so the equation filled in is:

(2 x π x 8 x 27.2) + (2 x π8^2) = 1769.344983 or 1769.34

(2 x π x 8 x 27.2) = 1367.221123

(2 x π8^2) = 402.1238597

1367.221123 + 402.1238597 = 1769.344983

hope this helps :)

The key features are (1) both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

The functions are given as:

f(x) = 4 - x

[tex]g(x) = -\sqrt{x - 4}[/tex]

Using a graphing calculator:

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (1)

Read more about function domain and range at:

brainly.com/question/10197594

#SPJ1

Answer:

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

Step-by-step explanation:

b is correct

The question requires the computation of loss body fluid. The results show that Don Pedro's loss of body fluid per hour is 54,234ml/hours. See computation below.

This refer to the rate at which a human being loses water on the hour. The formula for this is given as:

The Body weight in lb x percentage rate of dehydration (given in decimal form) x 500.

Hence, Don Pedro's loss of fluid per house is:

82 x 0.6 x 500;

Recall that in the formula, the weight is given in lb. So we convert Pedro's weight to Lb.

1kg = 2.20462Lb

Hence

80kg = 80 * 2.20462 = 176.37

Hence

Pedro's loss of fluid per house =

180.779 x 0.6 x 500

= 54,233.70

≈ 54, 234 ml/h


Learn more about loss of body fluid at:
https://brainly.com/question/2060910
#SPJ1

Answer: Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

Step-by-step explanation:

Answer:

Answer = $2.10

Step-by-step explanation:

To solve this we take the total cost divided by the total number of chicken wings to get $2.10.

Hope that helps! :)

Answer:

1 wing = $2.10

Step-by-step explanation:

11 wings = $23.10

Let 1 wing = x

11x = 23.10

To solve for x, we divide both sides by 11 :

11x÷ 11 = 23.10 ÷11

x = 2.1

So 1 wing = $2.10

Hope this helped and brainliest please

Answer:

D is the answer hope

Step-by-step explanation:

hope this helped

Answer:

1) 0.25%

Step-by-step explanation:

Ratio= weight in g/ volume in ml

1. percent strength = 12.5× 10-³g /5ml × 100%

=0.25%

Answer:

0.25%

Step-by-step explanation: Convert mg to g (1g = 1000mg)

12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%

Step-by-step explanation:

here ,

[tex]cosec \alpha = \frac{1}{ \sin( \alpha ) } [/tex]

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

[tex] \frac{1}{ \sin(2) \frac{1}{2} - \cos(2) \frac{1}{2} } = 2[/tex]

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

The problem with the study is that Some of the sample data are missing.

A survey is a study that aims at obtaining the responses of people based on a questionnaire. The subjects are selected at random in such a way that the sample is representative of the population.

In this study, the problem with the study is that Some of the sample data are missing.

Learn more about survey:https://brainly.com/question/13532910

#SPJ1

Answer: D) The results is a precise number

Answer:

This is the i-ready test, you have to try your best because if someone were to give you the answer, that will be cheating. The test provides teachers with a complete picture of student performance relating to their grade level and national norms. So, just try your best so you can get the lessons that are right for you.

(Im just saying but you don't have to listen to me ^^)

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

In this question we must take into accounts the definitions of the trigonometric reasons sine and secant and the Pythagorean theorem as well.

If sec θ < 0 and csc θ > 0, then sin θ > 0 and cos θ < 0, the angle is in the second quadrant (0.5π < θ < π, x < 0, y > 0) and we have the following expression:

sec θ = r/x

[tex]\frac{r}{x}= -\frac{6\sqrt{11}}{11}[/tex]

Then x = - 11, r = 6√11 and the value of y is:

[tex]y = \sqrt{r^{2}-x^{2}}[/tex]

y = 5√11

By trigonometric expressions we have this formula for sin 2θ:

sin 2θ = 2 · sin θ · cos θ

sin 2θ = 2 · (y/r) · (x/r) = (2 · x · y)/r²

sin 2θ = [2 · (- 11) · (5√11)]/396

sin 2θ = - (5/18) · √11

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

To learn more on trigonometric reasons: https://brainly.com/question/6904750

#SPJ1

The diameter [tex]d = 2r[/tex], where [tex]r[/tex] is the radius. Thus, [tex]d = 2 \times r = 2 \times 5 = 10cm[/tex]

Answer:

56/64 simplified is 0.875 or 7/8 as a fraction

Answer:

[tex]b = \frac{1}{9}[/tex]

Step-by-step explanation:

-9b + b = 2b - (b + 1)

Let's simplify by taking out the parenthesis.

-9b + b = 2b - b - 1

Now, we add like terms.

-8b = b - 1

Now, let's subtract b from both sides of the equal sign in order to isolate b.

-8b - b = b - 1 - b

Simplify!  

-9b = -1

Divide both sides by -9.

-9b ÷ b = -1 ÷ -9

Simplify.

[tex]b = \frac{1}{9}[/tex]

Answer:

[tex]b = \frac{1}{9} [/tex]

Step-by-step explanation:

[tex] - 9b + b = 2b - (b + 1) [/tex]

Solve the brackets.

[tex] - 9b + b = 2b - b - 1[/tex]

Combine like terms.

[tex] - 8b = b - 1[/tex]

Take b to the left side.

[tex] - 8b - b = - 1[/tex]

Combine like terms.

[tex] - 9b = - 1[/tex]

Divide both sides by -9.

[tex] \frac{ - 9b}{ - 9} = \frac{ - 1}{ - 9} \\ b = \frac{1}{9} [/tex]