I don’t know if I get this right so can someone correct it or check it ?

Answer:

a).

[tex] \sin(2x) = \frac{1}{2 \sqrt{2} } \\ \\ 2x = { \sin }^{ - 1} ( \frac{1}{2 \sqrt{2} } ) \\ \\ 2x = 45 \degree[/tex]

since sine is in the 2nd quadrant, other angle = 180° - x:

[tex]2x = 45 \degree, \: 135 \degree[/tex]

we must make two rotations since it's a double angle:

[tex]2x = 45 \degree, \: 135\degree, \: 225\degree, \: 315\degree, \: 495\degree, \: 675\degree \\ [/tex]

divide each angle by 2:

[tex]x = 22.5\degree, \: 67.5\degree, \: 112.5\degree, \: 157.5\degree, \: 247.5\degree, \: 337.5\degree \\ [/tex]

Answer = {x: x = 22.5°, 67.5°, 112.5°, 157.5°, 247.5, 337.5°}

b).

[tex] \sin(3z) = - 0.42 \\ 3z = { \sin }^{ - 1} ( - 0.42) [/tex]

since ans is negative, we take the quadrants of cosine and tangent:

[tex]3z = 204.8\degree, \: 335.2\degree [/tex]

we make three rotations:

[tex]3z = 384.8\degree, \: 515.2\degree, \: 695.2\degree, \: 875.2\degree, \: 1055.2\degree, \\ [/tex]

answer is {z : z = 128.3°, 171.7°, 231.7°, 291.7°, 351.7°}

Answer:

[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]

Step-by-step explanation:

We are given that the length and width of a rectangle is given by:

[tex]\ell = (5x + 2)\text{ cm} \text{ and } w = (3x+1)\text{ cm}[/tex]

And we want to find the area of the rectangle.

Recall that the area of a rectangle is given by:

[tex]\displaystyle A = w\ell[/tex]

Substitute:

[tex]A = (3x+1)(5x+2)[/tex]

Expand and simplify:

[tex]\displaystyle \begin{aligned}A &= 5x(3x+1) + 2(3x+1) \\ &= (15x^2+5x)+(6x+2) \\ &= (15x^2)+(5x+6x)+(2) \\ &= 15x^2 + 11x +2 \end{aligned}[/tex]

Hence, the area of the rectangle is:

[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]

Hello!

1. 8y = 48 => y = 48 : 8 => y = 6

2. q - 12 = 1 => q = 1 + 12 => q = 13

3. 18 = a/2 => a = 18 × 2 => a = 36

4. r/3 = 7 => r = 3 × 7 => r = 21

5. 11 = m - 4 => m = 11 + 4 => m = 15

Good luck! :)

Answer:

B = multiply both sides by 2y+1

Step-by-step explanation:

Answer:

B. multiply both sides by the equation 2y + 1

Answer:

y=2x-4

Step-by-step explanation:

The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4

Answer:

True

Step-by-step explanation:

We know that distance = rate * time

21 miles = 7 miles per hours * 3 hours

21 miles = 21 miles

True

Answer:

-2

Step-by-step explanation:

The constant has only a number and no variable

-2 +6c +3c

-2 is the constant

6 is a coefficient for the variable term

3 is a coefficient for the variable term

-2

How

[tex]\\ \sf\longmapsto -2+6c+3c[/tex]

[tex]\\ \sf\longmapsto -2+(6+3)c[/tex]

[tex]\\ \sf\longmapsto -2+9c[/tex]

[tex]\\ \sf\longmapsto 9c-2[/tex]

Answer:

the first option 40 degrees

Step-by-step explanation:

the outward angle at the center of the circle between the two tangential points is 220 degrees.

that means that the inward angle between them is

360 - 220 = 140 degrees.

now consider that there is a triangle between the center of the circle, one of the tangential points (it does not matter which one, as the upper and the lower triangles are equal) and the point R.

we know the angle at the tangential point : 90 degrees by definition (otherwise it would not be a tangent).

and we know the angle at center of the circle, which is half of the inward angle

140 / 2 = 70 degrees.

and at point R we have half of the full angle R.

we can calculate that half by using the fact that the sum of all angles in a triangle is always 180 degrees.

180 = 90 + 70 + R/2

180 = 160 + R/2

20 = R/2

R = 40 degrees

1. The equation is 18 = 3 × x

2. a) The independent variable is the of ounces of lemon juice in the lemonade

b) A = a × b

c) First quadrant

The procedure to find the above answers are presented here as follows;

1. The following is the table of values of the data

[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]

The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;

y ∝ x

∴ y = k × x

Where;

k = The constant of proportionality

k = y/x

Therefore;

k = 6/2 = 9/3 = 12/4 = 15/5 = 3

k = 3

y = k × x

∴ y = 3 × x

Therefore;

The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water  is given by placing y = 18 in y = 3 × x as to get;

18 = 3 × x

∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water

2. The independent variable is the input or causing variable that determines the output variable

Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade

b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;

A = a × b

c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant

Learn more about dependent and independent variable here;

https://brainly.com/question/18456313

Answer:

2. 8/10

3. 27/100

4. 75/100 or 3/4

Step-by-step explanation:

•First, put the number on top of 1 in a fraction.

•Multiply the top and the bottom by 10 for every number after the decimal point.

2.

Number on top of 1 in a fraction:

0.8/1

As there is 1 number after the decimal place, you would have to times the top and bottom by 10.

8/10

3.

Number on top of 1:

0.27/1

Times top and the bottom by 100:

27/100

4.

Number on top of 1:

0.75/1

Times top and bottom by 100:

75/100

Simplify (if needed):

3/4

Hope this helps :)

Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

-7 = b

Answer:

5x43

it can only be divided by 1, 5, and 43.

When 215 is written as a product of its prime factor, the result is 5 × 43.

To find the prime factorization of 215, we'll divide it by its smallest prime factor and continue the process until we get all the prime factors. Here's the step-by-step breakdown:

Divide 215 by the smallest prime number, which is 5. We get:

215 ÷ 5 = 43

43 is a prime number, so we stop here.

Now, the prime factorization of 215 is:

215 = 5 × 43

Learn more about prime factor here: https://brainly.com/question/18187355

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Answer:

She combines 9.3 kg of each.

Step-by-step explanation:

Let x = amount of brand A in kg

Let y = amount of peanuts in kg

First we deal with the amount of each product she uses.

"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."

x + y = 18.6

Now we deal with just the amount of peanuts.

"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."

Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.

The peanuts she adds are pure peanuts, so all of y is peanuts.

The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.

0.2x + y = 0.6 * 18.6

0.2x + y = 11.16

We have a system of equations:

x + y = 18.6

0.2x + y = 11.16

We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.

0.8x = 7.44

Divide both sides by 0.8

x = 9.3

Plug in 9.3 for x in the first equation of the system and solve for y.

x + y = 18.6

9.3 + y = 18.6

y = 9.3

Answer: She combines 9.3 kg of each.

Answer:

y = -2

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-2) / -2 - 8

0/-10

= 0

y = 0x + b

-2 = 0(-2) + b

-2 = 0 + b

-2 = b

Answer:

Y = -2

slope = 0

Step-by-step explanation:

x1 y1  x2 y2

8 -2  -2 -2

(Y2-Y1) (-2)-(-2)=   0  ΔY 0

(X2-X1) (-2)-(8)=    -10  ΔX -10

slope= 0          

B= -2          

Y = -2    

Well, it's hard to really help because I can't draw a graph on here, but what you can do is make a list of a couple numbers (say -3, -2, -1, 0, 1, 2, and 3), and then use them as values of x to find y. Once you have found y, use those two values as your coordinate to plot your line:

x = -3, y = -3 + 4 = 1, so the coordinate would be (-3, 1).

x = -2, y = -2 + 4 = 2, so the coordinate would be (-2, 2).

]Hope that helps! Can you do the rest?

Answer:

[tex]arc \: length = 2\pi \: r( \frac{θ}{360} ) \\ = 2 \times 3.14 \times 7 \times ( \frac{90}{360} ) \\ = 10.9 \\ = 11[/tex]

I hope I helped you^_^

Answer:

the answer is 7-57 #5376

Answer:

5^-2 or 0.04

Step-by-step explanation:

when you times you add the powers

4 + (-6) = -2

5^-2

Answer:

The parallel line is y = 1/7 x - 1  

hope this helps!

Answer:

i think iys 6 lol

Step-by-step explanation:

its wright

Answer:

log_e (7)

Step-by-step explanation:

(ln) 7,

ln stands for natural log, which is log base e

log_e (7)

Perimeter is the distance around the outside.

A square has 4 equal sides:

Perimeter = 21 x 4 = 84 yards

Answer: Perimeter = 84 yd

Explanation:

Perimeter of square = 4 × side

Side = 21 yd

Perimeter = 4 × 21

= 84 yd

Must click thanks and mark brainliest

Answer:

I can confirm that it is: B, the set of points is in a plane

Step-by-step explanation:

It is right.

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

Explanation:

The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.

------------

A slightly longer alternative path would be to do this:

The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...

20+20+c = 180

40+c = 180

c = 180-40

c = 140

Then angle b is supplementary to this

b+c = 180

b+140 = 180

b = 180-140

b = 40

This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.

In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.

Say her hourly pay was $p for the day shift and $1.2p for the night shift.

(1) x = 55. Clearly insufficient: we need to know how these 55 hours are split between the day shift hours and the night shift hour.

(2) Grace's gross pay for the hours she worked on day shift last month was exactly 50% of her total gross pay for last month. Not sufficient.

(1)+(2) Say Grace worked h hours on the day shift and 55-h hours on the night shift. Thus, her pay for the the hours she worked on day shift is $ph and the total gross pay is $ph+(55-h)*1.2p. From (2) we have that ph=0.5(ph+(55-h)*1.2p) --> reduce by p: h=0.5(h+(55-h)*1.2). We have 1 variable, so we can solve for it. Sufficient.

Answer: C.

Answer:

4 divided by one third then you take the answer and divide it with 24

hope i could help

Answer:

[tex]\frac{16}{81}[/tex]

Step-by-step explanation:

[tex](\frac{27}{8} )^{-\frac{4}{3} }[/tex]

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

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

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

[tex]=\frac{16}{81}[/tex]

Answer:

16/81

Step-by-step explanation:

a negative exponent means 1/...

the number in the numerator means "to the power of".

the number in the denominator means take the root of that power.

so, we have to take the third root of the expression, or this then to the power of 4, and finally build 1/... if the whole result.

and the sequence is not making a difference.

the third root of of 27/8 = 3/2

this to the power of 4 = 81/16

this 1/... = 16/81

Answer:

49•5

Step-by-step explanation:

A= hb×b÷2

given

hb=height=9

b=base=11

The area of the triangle will be 49.5 square units. Then the correct option is A.

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,

A = 1/2 x 11 x 9

A = 11 x 4.5

A = 49.5 square units

The area of the triangle will be 49.5 square units. Then the correct option is A.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

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