not sure how to use a ruler like you know how they have the
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lik what do thos little lines mean. and what is there fraction

The trigonometric identity:

sin(x/2) = -√(1/12) , cos(x/2) = √(11/12), and tan(x/2) = -36/55.

Since sec(x) = 6/5 and x is in the fourth quadrant (270° < x < 360°), we can draw a reference triangle in the fourth quadrant, where the adjacent side is positive and the hypotenuse is 5 and the opposite side is -6.

Then we can use the half-angle formulas to find sin(x/2), cos(x/2), and tan(x/2):

sin(x/2) = ±√((1 - cos(x))/2)

cos(x/2) = ±√((1 + cos(x))/2)

tan(x/2) = sin(x)/(1 + cos(x))

Since x is in the fourth quadrant, sin(x) is negative and cos(x) is positive, so we take the negative square roots in both of the half-angle formulas to get the appropriate signs for sine and cosine:

sin(x/2) = -√((1 - cos(x))/2)

cos(x/2) = √((1 + cos(x))/2)

First, we need to find cos(x) from the given information. Since sec(x) = 6/5, we know that cos(x) = 5/6.

Then, we can substitute this value into the half-angle formulas to get:

sin(x/2) = -√((1 - 5/6)/2) = -√(1/12)

cos(x/2) = √((1 + 5/6)/2) = √(11/12)

Finally, we can use the half-angle formula for tangent to get:

tan(x/2) = sin(x)/(1 + cos(x)) = (-6/5)/(1 + 5/6) = -36/55.

Therefore, sin(x/2) = -√(1/12) , cos(x/2) = √(11/12), and tan(x/2) = -36/55.

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Answer:

i think its 7 units but im not completely sure

Step-by-step explanation:

Answer:

\(25 \%\)

Step-by-step explanation:

The department store is buying each shirt for:

\(\frac{6400}{400}=\$ 16\) each.

Therefore, the percent markup is:

\(100 \cdot \frac{20-16}{16}=\fbox{$25\%$}\).

Answer:

a) 18.85 or 19

b) 84.82 or 85

Answer:

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Step-by-step explanation:

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Answer:

None of the above.

Step-by-step explanation:

They are all prime numbers!

Area = ( lengths )^2

676 = ( lengths )^2

lengths = √676

lengths = 26 cm

Answer:

3.

11² + 11² = x²

121 + 121 = x²

242 = x²

x = √242

x = 11√2

4.

tan(60°) = y/36

√3 = y/36

y = 36√3

tan(30°) = x/36

√3/3 = x /36

x = 36√3/3

x = 12√3

Answer:

Step-by-step explanation:

3) Using the Pythagorean Theorem (A^2+B^2=C^2) We can tell that x^2=11^2+CB^2. If you can find what CB is then you can find x by doing 11^2+CB^2=x^2 and if you square root x^2 you get x.

4) Same thing, y^2+x^2=36^2.

Answer:

9

Step-by-step explanation:

The blank is 9. You are just multiplying 3 times 3 which gives 9 because 3 squared is just multiplying it with itsself.

Hope this helped! :)

The percentage of the students at the university which are foreign are 25% by conditional probability formula.

According to the question,  10% of all college students are foreign students who also smoke and it is also known that 40% of all foreign college students smoke.

We use the conditional probability formula to solve this question.

Let foreign students be denoted as F

Let students smoking be denoted as S

We know that 10% of all college students are foreign students who also smoke this means

P(F ∩ S) = 0.1

and 40% of all foreign college students smoke which means

P(S/F) = 0.4

So, the percentage of the students at this university who are foreign can be calculated as  

\(P(F) = \frac{0.1}{0.4}\) = 0.25

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Answer:H=12Ft

Base:24

Area:288

A=bh

h=A/b=288/24=12ft

Answer:

https://socratic.org/questions/a-card-is-drawn-from-a-standard-deck-a-second-card-is-drawn-without-replacing-th-1#131182

Step-by-step explanation:

:)

The height of the oak tree is approximately 4.846 ft.

To find the height of the oak tree, we can use similar triangles and the concept of vertical angles. Let's set up the problem and include a diagram to illustrate the situation.

Let's assume the height of the oak tree is represented by h.

We have the following information:

Igor's eye height: 4.5 ft

Distance between Igor and the mirror: 5 ft

Distance between the mirror and the oak tree: 70 ft

We can create a right triangle with Igor's eye height, the distance between Igor and the mirror, and the height of the tree. Let's label the points in the diagram as follows:

  |\

  | \

h  |  \    <-- Height of the oak tree

  |   \

  |    \

  |-----\

 5 ft  70 ft

Now, using the concept of similar triangles, we can set up the following proportion:

(h + 4.5 ft) / 5 ft = h / 70 ft

Cross-multiplying, we get:

70(h + 4.5 ft) = 5h

70h + 315 ft = 5h

70h - 5h = -315 ft

65h = -315 ft

Dividing both sides by 65, we find:

h = -315 ft / 65

h ≈ -4.846 ft

Since height cannot be negative, we can disregard the negative value. Therefore, the height of the oak tree is approximately 4.846 ft.

Please note that negative values in this context indicate an error in the calculation or a discrepancy in the given measurements.

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Answer:

Step-by-step explanation:

For \(\frac{m}{5} + 4\) , only the 1st and 3rd  phrases are true

Using the distributive property 4 (3 + 4x - 2y) is equal to (12 + 16x - 8y).

The distributive property of multiplication is one of the mathematical properties.

The distributive property states that multiplying a factor by the sum of two or more numbers or addends will yield the same result as multiplying each number separately by the same factor and adding the products together.

The implication of the distributive property is that 4 (3 + 4x - 2y) is of equal value as (12 + 16x - 8y).

4 (3 + 4x - 2y)

= (3 x 4) + (4x x 4) - (2y x 4)

= (12 + 16x - 8y)

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Answer:

B

Step-by-step explanation:

sorry if im wrong

The maximum value is; +√21 and the minimum value is; -√21

Function is a type of relation, or rule, that maps one input to specific single output.

We are given that

f(x,y,z) = x² + y² + z²

g(x,y,z) = x⁴ + y⁴ + z⁴ - 7 = 0

Using Lagrange multipliers as follows;

df/dx = λg/dx,

df/dy = λg/dy.

df/dz = λg/dz

Thus, df/dx = 2x, df/dy = 2y, df/dz = 2z

dg/dx = 4x³,  dg/dy = 4y³, dg/dz = 4z³

So, df/dx = λg/dx

2x = 4λx³     (1)

df/dy = λg/dy

2y = 4λy³           (2)

df/dz = λg/dz

2z = 4λz³           (3)

From (1) 4λx³ - 2x = 0

2λx³ - x = 0

x(2λx² - 1) = 0

Now solving; x = 0 or (2λx² - 1) = 0

2λx² = 1

x = ±1/√(2λ)

since x ≠ 0

From (2) 4λy³ - 2y = 0

2λy³ - y = 0

y(2λy² - 1) = 0

Now solving, y = 0 or (2λy² - 1) = 0

2λy² = 1

y = ±1/√(2λ) since y ≠ 0

From (3) 4λz³ - 2z = 0

2λz³ - z = 0

z(2λz² - 1) = 0

now solving, z = 0 or (2λz² - 1) = 0

2λz² = 1

z = ±1/√(2λ) since z ≠ 0

Then we have g(x,y,z) = x⁴ + y⁴ + z⁴ - 7 = 0

(1/√(2λ))⁴ + (1/√(2λ))⁴ + (1/√(2λ))⁴ - 7 = 0

3 (1/√(2λ))⁴ = 7

(1/√(2λ))⁴ = 7/3

1/√(2λ) = ⁴√7/3

√(2λ) = ⁴√3/7

2λ = √3/7

λ = 1/2(√3/7)

Since we know that x = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3

Also, y = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3

and, z = 1/√(2λ) = 1/√(2 [1/2(√3/7)]) = 1/⁴√3/7 = ±⁴√7/3

Now Substituting x,y and z into f(x,y,z) we have;

f(x,y,z) = (⁴√7/3)² + (⁴√7/3)² + (⁴√7/3)² = 3(⁴√7/3)² = 3(√7/3) = √(7 × 3) = ±√21

Hence, the maximum value is +√21 and the minimum value is -√21

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The given expression is:

It is required to simplify the product using the distributive property.

Apply the distributive property to the product:

Apply the distributive property again to simplify the expression on the right:

The answer is x²+2x-8.

The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.

In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.

The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.

Regarding the other statements:

In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.

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The value of x for the given pentagon will be 125 degrees.

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

Given the values exterior angles of the pentagon such that, 70°, 60°, 65°, 40°, x°.

To calculate the value of x.

Since the Sum of all exterior angles of a pentagon is 360°,

Thus,

70 + 60 + 65 + 40 +x = 360

x + 235 = 360

x = 360 - 235

x = 125°

Therefore, the value of x for the given pentagon will be 125 degrees.

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Answer:

f(x) - 2

Step-by-step explanation:

I just took the quiz

Answer:

70-40 equals 30/5 equals 6

the answer is 6 outfits

Step-by-step explanation:

70-40 equals 30 (the value of the money she made from each outfit that she sold) and you divide that by 5 to find how many outfits that she sold. This leads you to 6 outfits

pls vote brainliest i would really appreciate it thank u <333

Answer:

Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.  

Step-by-step explanation:

just took the quiz :)

Answer:

x > 10.4

Step-by-step explanation:

Isolate X by adding 3.5 to each side of the inequality

That leaves you with x > 6.9 + 3.5

Answer: 50.24

Step-by-step explanation: 4x4x3.14 / radius x radius x pi/  3.14

Answer:

sin (0.35) = 0.57638, cos (0.35) = 0.96512, and tan (0.35) = 0.67578

These values can be found by going to the 'Calculator' tab and entering the values for 'Sine', 'Cosine' and 'Tangent' as shown above.

Hey there!

The answer to your question is Crew A

We can find this by first finding the unit rate, or acres per hour. We can divide the amount of acres by the amount of hours.

Crew A : 6/7.5 = 0.8 acres per hour

Crew B : 4.5/6 = 0.75 acres per hour

With the data above, we can see that Crew A is faster.

Hope it helps and have an amazing day! Remember, You've got this!

Answer:

A crew

Step-by-step explanation: i did it

Answer:

y= 40° , z = 90°

Step-by-step explanation:

Angle z is a right angle and is therefore 90°

Angles in a triangle add up to 180°

So we can work out y by making an equation:

\(180 = 90 +50 + y\)

\(y= 180-50-90\)

\(y=40\)

Therefore y =40°

Chadwick pay for all of the shares in 2016 is $19,816.50, $38,919  was the value of all of his shares four years later, The money did he gain with this stock is $19,102.5 and 96.3 is rate of return on his shares when he sold them.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chadwick bought 50 shares of chipotle stock on nov 1, 2016 for $396.33 per share.

After four years he sold it for $778.38 per share.

We need to find  chadwick pay for all of the shares in 2016

Purchase price per share × number of shares.

$396.33 × 50 = $19,816.50

Chadwick pay for all of the shares in 2016 is $19,816.50

Now we need to find the value of all of his shares four years later

Closing price per share × number of ahaf

=$778.38 × 50

= $38,919

$38,919  was the value of all of his shares four years later

The money did he gain with this stock

$(38,919 - 19,816.50)

= $19,102.5

Rate of return on his shares when he sold them?

(Current Purchase - initial value) /current price

(778.3 - 396.33) / 396.33

= (381.97 / 396.33)

= 0.9637675×100

=96.3

Hence, Chadwick pay for all of the shares in 2016 is $19,816.50, $38,919  was the value of all of his shares four years later, The money did he gain with this stock is $19,102.5 and 96.3 is rate of return on his shares when he sold them.

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