Help me please!!
Find the measure of EG.
A.18
B.11
C.14
D.13

Answer:

[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]

Step-by-step explanation:

we would like to solve the following trigonometric equation:

[tex] \displaystyle 6 { \sin}^{2} ( \theta) + 7 \sin( \theta) + 2 = 0[/tex]

to do so we can let sinθ be u so it'll be easier to solve:

[tex] \displaystyle 6 { u}^{2} + 7 u + 2 = 0[/tex]

to notice is that it's a quadratic equation to solve the equation we can consider factoring method in this method we rewrite the middle term as sum or substraction of two different terms in that case 3u+4u can be mentioned:

[tex] \displaystyle 6 { u}^{2} +3u + 4u + 2 = 0[/tex]

(continuing the method) well we can factor out the common terms and that yields:

[tex] \displaystyle 3u(2 { u}^{} +1) + 2(2u + 1)= 0[/tex]

group:

[tex] \displaystyle (3u+ 2)(2u + 1)= 0[/tex]

by Zero product property we acquire:

[tex] \begin{cases}\displaystyle 3u+ 2 = 0 \\ 2u + 1= 0 \end{cases}[/tex]

solve the equation for u:

[tex] \begin{cases}\displaystyle u = - \frac{2}{3} \\ \\ u= - \dfrac{1}{2} \end{cases}[/tex]

substitute back:

[tex] \begin{cases}\displaystyle \sin( \theta) = - \frac{2}{3} \\ \\ \sin( \theta) = - \dfrac{1}{2} \end{cases}[/tex]

take inverse trig in both sides and that yields:

[tex] \begin{cases}\displaystyle \theta = - {41.8}^{ \circ}, {221.8}^{ \circ} \\ \\ \theta = {210}^{ \circ} , {330}^{ \circ} \end{cases}[/tex]

add period of 2nπ:

[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]

and we're done!

Answer:

Z and B are independent events because P(Z∣B) = P(Z).

Step-by-step explanation:

After a small online search, I've found a table to complete this problem, that we can see below.

For two events Z and B, we have:

P(Z|B) = probability of Z given that B

such that:

P(Z|B) = P(Z∩B)/P(B)

So, two events are independent if the outcome of one does not affect the outcome of the other.

So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.

So Z and B are independent if the probability of Z given B is equal to the probability of Z.

P(Z|B) = P(Z)

In the table we can see:

P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)

P(Z|B) = 126/280 = 0.45

Similarly, we can find P(Z):

And P(Z) = 297/660 = 0.45

So we can see that:

P(Z|B) =  P(Z)

Thus, B and Z are independent.

Answer:

Given the proposed interrogate, the answer(s) to the following are identified as “-8, -6, -4, -2…” and “2, 4, 8, 16”.

Step-by-step explanation:

Accountable Conditions: Although the question implies there is only one individual mathematical statement which fits the conditions stated in the interrogate, both sequences listed above fit such, thus are both correct.

To evaluate for such, a comprehension of an “Arithmetic Sequence” is obligated:

In arithmetic sequences, the presence of a consecutive deviation or fixed pattern must be consistent and present throughout each and individual number or value contained within the particular set.

For Example: 3, 5, 7, 9, 11, 13, …

The deviation, or the number required to produce the subsequent value is identified as +2.

Now, apply such definitions to the peculiar problem:

A. 1, -3, 9, -27,… has -4, +12, -36, hence is not consistent. Thus, A cannot be correct.

B. -2, 4, -6, 8,… has +6, -10, +14, hence does not obtain a persistent consecutive pattern.

C. -8, -6, -4, -2… has +2, +2, +2, hence is consistent. Thus, C is correct.

D. 2, 4, 8, 16,… has +2, +2, +2, hence is consistent. Thus, D is correct.

Answer:

∠N ≅ ∠Z

Step-by-step explanation:

In the Side-Angle-Side (SAS) similarity theorem, the included angle of the two given sides of a triangle is also given. This theorem relates two legs of a triangle with the angle formed by the legs.

Comparing the sides of △LMN and △XYZ, it would be observed that the corresponding sides of △XYZ has a scale of 3. So to prove that △LMN ~ △XYZ by the SAS similarity theorem, it would be required to also show that ∠N ≅ ∠Z.

Answer:

A)  ∠N ≅ ∠Z

Step-by-step explanation:

Answer:

theta = 30 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side/ hypotenuse

sin theta = 25/50

sin theta = 1/2

Taking the inverse sin of each side

sin ^-1 (sin theta) = sin ^-1 (1/2)

theta =  sin ^-1 (1/2)

theta = 30 degrees

Answer:

7/12

Step-by-step explanation:

add up all of the buttons

30+40+50=120

add up all of the blue and red buttons

30+40=70

then divide the added values

70/120

simplify

7/12

Answer:

7/12

Step-by-step explanation:

It will be seven 7 by 12

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

[tex]y=a(x-c_1)(x-c_2)...(x-c_n)[/tex]

Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the roots of the polynomial.

Polynomial roots are 1 and 2. So, [tex](x-1)[/tex] and [tex](x-2)[/tex] are the factors of the polynomial.

Let the third root of the polynomial by c, then [tex](x-c)[/tex] is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

[tex]y=8(x-1)(x-2)(x-c)[/tex]

The graph passes through the point (4,5). Putting [tex]x=4,y=5[/tex], we get

[tex]5=8(4-1)(4-2)(4-c)[/tex]

[tex]5=8(3)(2)(4-c)[/tex]

[tex]5=48(4-c)[/tex]

Divide both sides by 48.

[tex]\dfrac{5}{48}=4-c[/tex]

[tex]c=4-\dfrac{5}{48}[/tex]

[tex]c=\dfrac{192-5}{48}[/tex]

[tex]c=\dfrac{187}{48}[/tex]

Therefore, the 3rd root on the polynomial is [tex]\dfrac{187}{48}[/tex].

Answer:

40 m/s

Step-by-step explanation:

144 X (5/18) = 8X5 = 40

Answer:

33.3%

(1/2)(2/3) = 2/6 = 1/3

(4/8)=(1/2)

(4/6) = (2/3)

Step-by-step explanation:

Answer:

Right angle

Step-by-step explanation:

Since, LH is perpendicular to HJ, ∠LHJ is a right angle.

Step-by-step explanation:

Volume of tank = (pi)×(radius squared)×(height)

= 3.14×(6×6)×2

= 3.14×36×2

= 226.08 cu.ft

Each cu.ft is rented for $30

So, for 226.08 cu.ft is,

=226.08×$30

=$6782.3

Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h

Radius (r) = 3

Height (h) = 3

2 x pi x 3^2 + 2 x pi x 3 x 3

2 x pi x 9 + 2 x pi x 9

18pi + 18pi

36pi = 113.1 cm^2

Hope this helps!

The surface area of the cylinder is 113.0973 square centimeter.

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.

The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r

where r is the radius of the cylinder and h is the height of the cylinder from its base.

In the given problem, r = 3cm and h = 3cm .

⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.

= 36π = 113.0973 square centimeters.

∴ Surface area = 113.0973 square centimeters.

Thus the surface area of the cylinder is 113.0973 square centimeter.

To learn more about surface area the cylinder, refer -

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Answer:

sin R = 20 / 29

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin R = opp / hyp

sin R = 20 / 29

Answer:

144

Step-by-step explanation:

currect answer for simple question

Answer:

264

Step-by-step explanation:

First find the amount of increase

120 * 120%

120 * 1.2

144

Add this to 120

120 +144

264

Answer:

C. 5

Step-by-step explanation:

The given data can be presented as follows;

[tex]\begin{array}{ccc}x&&y\\2&\leftrightarrow &1\\3&\leftrightarrow &4\\4&\leftrightarrow &6\\5&\leftrightarrow &7\\6&\leftrightarrow &6\\7&\leftrightarrow &3\\8&\leftrightarrow &2\\9&\leftrightarrow &1\\10&\leftrightarrow &1\end{array}[/tex]

We find the sum of the data points as follows;

n = 1 + 4 + 6 + 7 + 6 + 3 + 2 + 1 + 1 = 31

The median will be located in the (n + 1)/2 th data point

Therefore the median is the (31 + 1)/2 = 16th data point

The sum of the first three bars on the histogram = 11

The sum of the first four bars on the histogram = 18

Therefore, the 16th data point is located in the fourth bar which has x value of 5

The median is therefore, C. 5

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The real roots of a polynomial function are the x-intercepts. The graph of f(x) will be the graph that has x-intercepts of -1, 0, and 3.

Answer:

The one at the bottom

Step-by-step explanation:

Plug in the value of x = 3 for every equation

I plugged the value of 3 into this equation:

2(3) +3y = 0

3 + 2y = -1

Let's start with the first line

6 + 3y = 0

-6 -6

3y = -6

3y/3 = -6/3

y = -2

Now let's solve the second line

3 +2y = -1

-3 -3

2y = -4

2y/2 = -4/2

y=-2

Since both equations have the solution y = -2, that means the system of equations is valid when the value of x is 3.

Answer:

x = 2y/3

y = 3x/2

Answer:

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

7 + 3 + 2 + 4 = 16

4 blue cubes = 4/16

16 - 4 = 12

12/16 = 6/8 = 3/4

The probability that the selected cube will not be blue is 3/4.

Total number of cubes: 7+3+2+4=16

Number of cubes that are not blue: 12

Probability: Desired outcomes/ Total outcomes

                 =12/16

                 =3/4

Therefore, the probability of not selecting blue cube is 75%(or 3/4).

To know more about probability refer:

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Answer:

125.4

Step-by-step explanation:

2×(3×5/2) + (8×5.8) + (5×8) + (3×8)

= 125.4

Given:

In [tex]\Delta ABC, m\angle A=50^\circ, m\angle B=60^\circ[/tex] and [tex]m\angle C=70^\circ[/tex].

[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex].

To find:

The measure of angle Z.

Solution:

We know that the rotation is a rigid transformation. It means the image and figure are congruent to each other.

[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex]. So, [tex]\Delta ABC\cong \Delta XYZ[/tex].

[tex]\angle C\cong \angle Z[/tex]                      (CPCTC)

[tex]m\angle C=m\angle Z[/tex]

[tex]70^\circ=m\angle Z[/tex]

Therefore, the measure of angle Z is 70 degrees.

Answer:70

Step-by-step explanation:

Answer:

2.

a) X=5.0791

(sorry I only know that one)

The correct way for a person can increase the wages he or she expects to earn is,

⇒  By choosing a job with a high market value.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

To find one way for a person can increase the wages he or she expects to earn.

Since, We know that;

A job with a high market value give more income than another things.

Thus, The correct way for a person can increase the wages he or she expects to earn is,

⇒  By choosing a job with a high market value.

Learn more about the mathematical expression visit:

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Answer:

[tex]\frac{2\pi }{3} +x=2\pi[/tex]

[tex]x=2\pi -\frac{2\pi }{3}[/tex]

[tex]=\frac{4\pi }{3}[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

c.7

well i have to put 20 so here

I'm pretty sure that the answer is C

Answer:428.67

Step-by-step explanation:

πr (r+square root(h2+r2) plug in the numbers

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]\boxed{\pmb{\pink{\sf{SI = \dfrac{Principal \times Rate \times Time}{100}}}}}[/tex]

[tex]\begin{gathered}\sf{\longrightarrow \: {S.I = \dfrac{10000\times 7 \times 2}{100}}}\\\\\sf{\longrightarrow \: {S.I = \dfrac{100\times 14}{1}}}\\\\\sf{\longrightarrow \: {S.I =100 \times 14}}\\\\\bold{\longrightarrow \: {S.I =1400}}\end{gathered}[/tex]

[tex]\boxed{\pmb{\red{\sf{Amount = Principal + Simple \: Interest}}}}[/tex]

[tex]\begin{gathered}\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\bold{\longrightarrow \: Amount = 11400}\end{gathered}[/tex]

Shela will return Rs. 11,400 including the interest of Rs. 1400 at the end of 2 years.

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Answer:

[tex]-10a^2+25ab-15ac+12a+12b-2c[/tex]

Step-by-step explanation:

[tex](7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)[/tex]

Distribute:

[tex]=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)[/tex]

[tex]=7a+5b-2c+5a+7b+4a^2-10ab+6ac-10a^2+35ab-21ac[/tex]

Combine all like terms:

[tex]=(4a^2-14a^2)+(-10ab+35ab)+(6ac-21ac)+(7a+5a)+(5b+7b)+(-2c)[/tex]

[tex]=-10a^2+25ab-15ac+12a+12b-2c[/tex]

Answer:

Answer: B

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Hope it helps...

Have a great day!!

Answer:

Using long division method the answer is B

Step-by-step explanation:

x²+3x-5+(15x-18)/x²+x-3