I need steps for this (need answers asap)

1. to find angle x:

angles on a straight line add to 180º : 180-92º = 88º

to find angle y:

exterior angle equals opposite interior angles: 88+22=110º

2. to find angle x:

angles on a straight line add to 180º : 180-118 = 62º

to find angle y:

exterior angle equals opposite interior angles: 62+52 = 114º

sorry if i got any of the angles wrong, the picture was a bit blurry and I couldn't tell that well, let me know if i got it wrong and i'll fix it

Using the law of sines, the value of q is: D. 72.7.

The law of sines is given as: sin A/a = sin B/b = sin C/c.

Thus, given △PQS, where:

m∠Q = 22°

m∠S = 65°

s = 176

Applying the law of sines, we have:

sin Q/q = sin S/s

Substitute

sin 22/q = sin 65/176

q = (sin 22 × 176)/sin 65

q = 72.7

Therefore, using the law of sines, the value of q is: D. 72.7.

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Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + 6x² - 3x²   - 8x - 9x + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

Given:

The shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

[tex]A=\pi r^2[/tex]

Substituting [tex]r=3[/tex], we get

[tex]A=\pi (3)^2[/tex]

[tex]A=9\pi[/tex]

It is given that the shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

The area of shaded sector [tex]=\dfrac{1}{3}A[/tex]

                                             [tex]=\dfrac{1}{3}(9\pi)[/tex]

                                             [tex]=3\pi[/tex]

Therefore, the area of shaded sector is 3π sq. cm.

Answer:

y=6x-8

Step-by-step explanation:

3x-2y=-4

3x^2-2y^2=-4^2

6x-y=8

y=6x-8

Answer:

3418148194765097900

Step-by-step explanation:

Just multiplied

have a great day!

Answer:

Your answers are correct

Step-by-step explanation:

Answer:

sin(4x) = sin(2x) is unsolvable.

Step-by-step explanation:

The two sides are not equal.

Answer:

4

Step-by-step explanation:

From the above question:

1/4 cup of sand = 1 sand art

1 cup of sand = x

Cross Multiply

x × 1/4 cup of sand = 1 cup of sand × 1 sand art

x = 1 cup of sand × 1 sand art/1/4 cup of sand

x = 1 ÷ 1/4

x = 1 × 4

x = 4 pieces sand art

Therefore, Duncan can make 4 pieces of sand art.

Answer:

2 cups

Step-by-step explanation:

16/8=2 so it is 2 cups

Answer:

a) 10 yards and 10[tex]\sqrt{3}[/tex] yards

Step-by-step explanation:

The intersection of the support beams in the middle form four right angles, since all four sides are equal.  Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):

180°-90°-30° = 60°

This is a 30-60-90 triangle (if you don't know what that is, you can look it up).  In a 30-60-90 triangle, the hypotenuse is 2x.  In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:

2x = 10

x = 5

Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.

The side directly across from the 30° angle is just x, which is equal to 5.  The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].

Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:

5*2 = 10

(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]

*I hope this makes sense!*

Answer:

19/15

Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.

Answer:

The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.

Step-by-step explanation:

The value of the interest rate and the compounding applied, gives the

value in the account after one year.

Reasons:

The amount Joseph receives as gift, A₀ = $12,000

Amount interest from Partner's Savings Bank, r = 3% compounded semiannually

Interest rate offered by Selwyn's, r = 2.75% compounded continuously

Required:

The value of the two account at the end of one year.

Solution:

[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]

The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;

[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]

The value of an account at Selwyn's is therefore;

The interest rate compounded continuously is presented as follows;

[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]

A₀ = The original amount invested = $12,000

Which gives;

[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]

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Answer:

a=-2

Step-by-step explanation:

3a−6=−12

Step 1: Add 6 to both sides.

3a−6+6=−12+6

3a=−6

Step 2: Divide both sides by 3.

3a/ 3 = −6/ 3

a=−2

Answer:

1/11

Step-by-step explanation:

(6, 4) and (-5, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-4)/(-5-6)

m= (-1)/(-11)

m = 1/11

Answer:

C or B

Step-by-step explanation:

Answer:

Your answer is A.

Step-by-step explanation:

You can count the arrow lines as the 2s. Such as, 2, 4, 6, 8 and 10.

So, the line 'x' is being divided by how many lines touching it.

Therefore, it is 1.

Then you add x and 6, the number which the line is ending with.

Your final answer is, F(x) =      1      

                                                x+6

Hope this helped!

Answer:

D<28

Step-by-step explanation:

The required inequality for the given situation can be, d > 28 or d < 28

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, write an inequality for the situation.

Situation :-

A number of days, d, of sunshine is not 28.

Here, the number of days is said to be not equal to 28, we are not given if is less or more,

It can be less or more than 28 but not 28

So, here we get two situations,

Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.

If we write these situations, mathematically, the inequalities we will have, are :-

1) The number of days, d, of sunshine is less than 28 :-

d < 28

2) The number of days, d, of sunshine is more than 28 :-

d > 28

Therefore, the two inequalities, are :- d < 28 or d > 28

Hence, the required inequality for the given situation can be, d > 28 or d < 28

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The complete question is :-

Write an inequality for the situation.

A number of days, d, of sunshine is not 28 .

Answer:

volume of cylinder=pi×r²×h

volume of cylinder =3.14×(11ft)²×10ft

volume of cylinder=3799.4ft³

The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y

The function is given as:

[tex]g(x) = 2^x[/tex]

When compressed horizontally by a factor of 1/2, the transformation rule is:

g'(x) = g(2x)

So, we have:

[tex]g(2x) = 2^{2x}[/tex]

[tex]g(2x) = 4^x[/tex]

When reflected across the x-axis, the transformation rule is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f(x) = -4^x[/tex]

The graph represented by this is graph Y.

Hence, the graph of the transformation is graph Y

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Answer:

32. (E)stopped at 2pm

33. (A)

Step-by-step explanation:

32. on the graph you go across the x axis and find where the straight line starts and look for the time

33. look at the y-axis and see what line and the number it is on

Step-by-step explanation:

[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]

Answer:

the amount that necessary to fund is $2,671.61

Step-by-step explanation:

The computation of the amount is shown below;

Given that

PMT = $270

NPER = 6 × 2 = 12

RATE = 6.2% ÷ 2 = 3.1%

FV = $0

The formula is shown below:

=-PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula the present value is $2,671.61

hence, the amount that necessary to fund is $2,671.61

Answer & Explanation:

Gross income is the total pay you earn before any reduction and adjustments (taxes, mortgage, etc.).

Net income is the amount of pay you get after taxes and other reductions are taken out of your gross income; it's the money that you "actually get to take home in your pocket with" on the payday.

Answer:

$6,100

Step-by-step explanation:

So to solve this problem, let's give the amount of money the variable "x". We just need to do x - 0.043 × x. Then we replace x with our answer and repeat the process 13 more times.

Answer:

$6200

Step-by-step explanation:

Answer:

[tex] {x}^{3} {y}^{3} [/tex]

Step-by-step explanation:

Given,

Width of the rectangular prism

= x

Length of the rectangular prism

[tex] = {x}^{2} y[/tex]

Height of the rectangular prism

[tex] = {y}^{2} [/tex]

Therefore,

Volume of the rectangular prism

= Width × Length × Height

[tex] = x \times {x}^{2} y \times {y}^{2} [/tex]

[tex] = {x}^{3} {y}^{3} [/tex]

Hence,

The required volume of the rectangular prism is

Option J:

[tex] {x}^{3} {y}^{3} [/tex]

Answer:

One point would be on (0,0) and the other on (1,-5)

Step-by-step explanation:

hope this helped :)

Answer:

a

Step-by-step explanation: