Solve the equation in degrees for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures.

Answers

Answer 1

The equation is an illustration of trigonometry ratios, and the non-negative values of x are 30 and 270 degrees

How to solve the equation?

The equation is given as:

2sin²(x) + sin(x) = 1

Let y = sin(x)

So, the equation becomes

2y² + y = 1

Rewrite as:

2y² + y - 1 = 0

Expand

2y² + 2y - y - 1 = 0

Factorize

2y(y + 1) - 1(y + 1) = 0

Expand

(2y - 1)(y + 1) = 0

Split

2y - 1 = 0 or y + 1 = 0

Solve for y

y = 0.5 or y = -1

Recall that: y = sin(x)

So, we have:

sin(x) = 0.5 and sin(x) = -1

Take the arcsin of both sides

x = sin⁻¹(0.5) and x = sin⁻¹(-1)

x = 30 degrees and x = 270

Hence, the non-negative values of x are 30 and 270 degrees

#SPJ1

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Related Questions

Which caculation and answer show how to convert 3/12 to a decimal?

Answers

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)

3/12=0.25

42 ft.
30 ft
Both triangles are similar The area of the larger triangle is about 382 ft

Answers

Answer:

just awnsering for the points sorry man

Step-by-step explanation:

What quadrilateral can you draw the has exactly one pair of parallel sides

Answers

Answer:

I belive that will be a trapazoid

Step-by-step explanation:

Both sides on the top and bottom are parallel
Please tell me if im wrong!

Answer:

Trapezium

Step-by-step explanation:

It has exactly one pair of parallel sides

A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.

Answers

We can find the bat's wholesale cost by working backwards -

Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.

Therefore, the wholesale cost of the bat is $8.


Happy to help!

Answer:

The bat's wholesale cost is $8

Step-by-step explanation:

You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.

Each railroad car in a train set is 6 inches in length.the railroad track is 5 feet long .how many railroad cars can fit on the track

Answers

Answer: 10 cars

Step-by-step explanation:

We know that:

A railroad car is 6 inches long and the railroad track is 5 feet long

Start by converting feet to inches. You can do that by multplying the amount of feet by 12.

5 feet x 12 = 60 inches

Now we can divide the length of the railroad track by the length of the railroad cars to see how many we can fit.

60 ÷ 6 = 10

A spinner and 4 cards are shown below:

A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.

Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?

1 over 20
1 over 5
1 over 4
9 over 20

Answers

Answer:

1 over 20

Step-by-step explanation:

Given that:

a spinner and 4 cards

A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green

Arrow point at purple

Four cards ⇒ Color : Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find - Probability spinner stops at purple & select pink card.

Solve:

Multiply 4 (the number of cards) with 5 (The number of equal sectors)

[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex]          {1 × 1 = 1}    {5×4=20}

~lenvy~

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find →  Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000. the actual closing costs are listed below. closing cost charge loan origination $300 title insurance $600 attorney’s fees $1,250 appraisal $550 inspection $525 recording fees $125 escrow $2,000 evaluate the lender’s good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was off by more than 0.5% of the actual closing costs.

Answers

The lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

What is closing cost?

All the expenduture and charges charged by a lander and other parties is called the closing cost.

A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000.  Thus, the estimate closing cost is,

[tex]C_{ec}=\dfrac{3.75}{100}\times120000\\C_{ec}=4500[/tex]

The actual closing costs are listed below.  

Loan origination   $300Title insurance      $600 Attorney’s fees     $1,250 Appraisal               $550 Inspection             $525 Recording fees     $125 Escrow                  $2,000.

The total annual cost is,

[tex]C= $300 +$600 +$1,250 +$550 +$525 +$125 +$2,000\\C=4800[/tex]

Total annual cost is $300 more than the estimate closing cost. In the percentage form,

[tex]p=\dfrac{4800-4500}{4500}\times100\\p=6.66\%[/tex]

Thus, the lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

Learn more about the closing cost here;

https://brainly.com/question/20108287

Answer:

Its D trust me

I got it right from the other person

What is the area of the playground shown? The edges of the playground meet at right angles, except for the edge whose length is not given. Show all work.

Answers

Answer:

520,000

Step-by-step explanation:

1400 x 200 = 280000

(400 + 800) x 400 /2 = 240000

240000 + 280000 = 520000

The area of the playground is 520000 square feet.

What is the area?

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given that the edges of the playground meet at right angles, except for the edge whose length is not given.

And to find the area of the composite figure,

find all the areas separately.

There is a square with a side length of 400 feet.

A rectangle with dimensions 200 feet by 600 feet.

Another rectangle with dimensions 1400- 600 = 800 feet by 200 feet.

And a triangle with a base of 400 feet and a height of 400 feet.

The area of the playground = (400 x 400) + (200 x 600) + (800 x 200) + (1/2 x 400 x 400)

The area of the playground = 160000 + 280000 + 80000

The area of the playground is 520000 square feet.

Therefore, the area is 520000 square feet.

To learn more about the area;

https://brainly.com/question/27683633

#SPJ7

Answer number 6 please. Bots don’t answer I’m just trying to get help

Answers

Answer:

B

Step-by-step explanation:

20 × 2/5 = 8

15 × 2/5 = 6

5 × 2/5 = 2

p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...

yeah, your welcome :)

Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).
100 POINTS IF YOU ANSWER CORRECTLY AND ILL GIVE BRAINLIEST

Answers

Semi perimeter:-

[tex]\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm[/tex]

Apply heron s formula

Area:-

[tex]\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{4.6656}[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

[tex]\sf Area \ of \ a \ Triangle=\dfrac12bh[/tex]

(where b is the base of the triangle and h is the height)

Given:

base = 2.4 cmheight = 1.8 cm

Substitute the given values into the formula:

[tex]\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8[/tex]

               [tex]\sf =2.16 \ cm^2[/tex]


Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.

Answers

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

What is the function for the ball's height?

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

More can be learned about functions at https://brainly.com/question/25537936

The polynomial x^3-kx^2+kx+2 has a factor of (x-2). What is the value of k?

Answers

[tex]\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}[/tex]

given the room below describe how you would find the perimeter and area?

Answers

Perimeter is the sum of all sides. So I would find measures of each side and add them.

Area is the total space inside the room. Would divide the room into triangle at the top, rectangle in the middle and half circle in the bottom. Find areas of each of the 3 shapes and add them together.

The car model was built on a 1:36 scale. If the length of the car is 180 inches, how many inches long is the model? ​

Answers

Answer:

the results are

a. 1,080-inch

b.  90 feet

Step-by-step explanation:

there are 4 steps to get to your resluts

Determine the oreadred pair for (-10,3) when it has been reflected over the y-axis

Answers

Answer:

(10 , 3)

Step-by-step explanation:

When you reflect over the y-axis, you are flipping the sign of the x-coordinate.

Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.

In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.

(-10 , 3) reflected over the y-axis is (10 , 3).

~

Which statement is true about the ordered pair (1 , 7)? A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin. B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin. C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin. D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

You're trying to find a true statement about the point (1,7)

A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin.

B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin.

C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.

D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.

_____________________________________________________
Solving:

A is incorrect because it shows the point (7,1).

D is incorrect because that isn't the proper way to graph a coordinate.

B is incorrect because it says travel one unit to the right on the y axis which is the incorrect axis to graph the point (1,7).

C is your correct answer because you need to move 1 unit to the right on the x-axis to get to the coordinate (1,0). Then, you need to go 7 units up on the y-axis to reach (1,7).

What is the value of z so that -3 and 3 are both solutions of x2 + z = 25?
0 41
016
09
o 22

Answers

016 is the correct answer

Answer:

I think it is B (16)

Step-by-step explanation:

Find the area of the rug. DO NOT ROUND.

what is the area?

Answers

Answer:

[tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Step-by-step explanation:

Given:

Diameter of rug = 6 feet

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

Where:

r = radius d = diameter

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ [tex]\pi (\frac{D}{2} )^{2}[/tex]

⇒ [tex]\pi (\frac{6}{2} )^{2}[/tex]

⇒ [tex]\pi (3 )^{2}[/tex]

⇒ [tex]\pi (3 )(3)[/tex]

⇒ [tex]9\pi[/tex]

Substituting "22/7" as π:

⇒ [tex]9(\frac{22}{7} )[/tex]

⇒ [tex](\frac{198}{7} )[/tex]

When finding the area of ANY shape, do not forget to include the units.

⇒ [tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Answer:

28.26 ft²

Step-by-step explanation:

Formula:

[tex]\text{Area of circular rug:} = \pi r^{2}[/tex]

Determining the radius of the circular rug:

To determine the radius, we need to divide the diameter by 2.

Given diameter: 6 feet

[tex]\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}[/tex]

[tex]\implies {\dfrac{\text{6}}{2} = \text{Radius}[/tex]

[tex]\implies 3\ \text{feet} = \text{Radius}[/tex]

Replacing the radius in the formula:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

Determining the area of the circular rug:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

[tex]\implies \text{Area of circular rug:} = 9\pi[/tex]

Replacing π as 3.14 (Approx. measure of π):

[tex]\implies \text{Area of circular rug:} = 9(3.14)[/tex]

[tex]\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}[/tex]

2. Solve the inequality and graph the solution
V-6 ≥ 4

Answers

Answer:

V≥10

Step-by-step explanation:

V−6≥4

Add 6 to both sides.

V≥4+6

Add 4 and 6 to get 10.

V≥10

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)

What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most​ $1000?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by [tex]\mu = 57300, \sigma = 9600[/tex].

For samples of 64, the standard error is given by:

[tex]s = \frac{9600}{\sqrt{64}} = 1200[/tex]

The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:

X = 58300:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{58300 - 57300}{1200}[/tex]

Z = 0.83

Z = 0.83 has a p-value of 0.7967.

X = 56300:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56300 - 57300}{1200}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

0.7967 - 0.2033 = 0.5934.

0.5934 = 59.34% probability that there is an error of at most $1000.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Please Help there are 3 questions.

Answers

Answer:

1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.

8/2=4, which means we need to look at the 4th,5th and 12th,13th.

The first one is FIVE, and the second is SEVEN. Therefore, the FIRST ONE.

2)113

3)37

If the given is DEFG is a kite how do I prove that triangle EFH is congruent to triangle GFH

Answers

Answer:

They both have H hoel

Step-by-step explanation:

\

The function f(x) = x2 6x 3 is transformed such that g(x) = f(x − 2). find the vertex of g(x). (−1, −8) (−3, −4) (−1, −6) (−5, −6)

Answers

Answer: (-1,-6)

Step-by-step explanation:

x^2+6x+3

g(x) = f(x-2)

replace all value of x in the f(x) function to (x-2)

(x-2)^2 + 6(x-2) + 34

(x-2)(x-2) + 6(x-2) + 34

expand through FOIL and distribution

x^2-4x+4+6x-12+3

combine like terms

x^2+2x-5

-b/2a = x value of vertex

-2/2(1) = x value

x value = -1

plug in -1 for all values of x in the g(x) equation to solve for y value

(-1)^2+2(-1)-5

1-2-5 = -6

y = -6

x = -1

(x,y) = (-1,-6)

The vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)

What is vertex form of a quadratic equation?

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

How to convert the given equation to vertex form?

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

So, we're given that:

[tex]f(x) = x^2 + 6x + 3[/tex][tex]g(x) = f(x-2)[/tex]

Thus, we get:

[tex]g(x) = f(x-2) \\g(x) = (x-2)^2 + 6(x-2) + 3 \\g(x) = x^2 -4x + 4 + 6x - 12+3\\ g(x) = x^2 + 2x -5[/tex]

Converting g(x) to vertex form:

[tex]g(x) = x^2 + 2x - 5\\g(x) = x^2 + 2x + 1 - 1 -5\\g(x) = (x+1)^2 -9\\g(x) = (x - (-1) )^2 -6\\g(x) = (x-(-1))^2 + (-6)[/tex]

Comparing this with [tex]a(x-h)^2 + k[/tex], we get (h,k) = (-1,-6) as the coordinate of the vertex of the graph of g(x), as shown below.


Thus, the vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)

Learn more about vertex form of a quadratic equation here:

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Find the volume of the cone below.

Answers

Answer:

C. 2027.4 m^3

Step-by-step explanation:

volume = (1/3) · π · r^2 · h

volume = (1/3) · π · 8.8^2 * 25

volume = (1/3) · π · 1936

volume = (1/3) · 1936π

volume = 2027.4 m^3

A local band spent $2,000 to record and make 400 CDs. They sold all of their CDs and made a profit of $500. How much did they charge for each CD?

Answers

Answer:

$6.25 for each CD

Step-by-step explanation:

6.25 x 400 = 2,500

2,500 - 2,000 = 500

there is a 500 profit

Levi spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -14.1°F. Between 9am and noon, the temperature rose 17.8°F. Between noon and 3pm, the temperature went down 16.8°F. Between 3pm and 6pm, the temperature dropped 12.3°F. What was the temperature at 6pm?

Answers

Answer:

-25.4°F

Step-by-step explanation:

-14.1  + 17.8 = 3.7

3.7 - 16.8 = -13.1

13.1 - 12.3 = -25.4

answer this easy please help

Answers

Answer:

1320

Step-by-step explanation:

The sample ad 600 chips. They wanted to test 36000 chips. 600*60=36000

If 22 out of 600 chips were defective, and 600*60=36000

Then 1320 chips were defective out of the 36000 because 22*60=1320.

1320 is the correct answer

Use the points in the diagram to name the figure.

Answers

D) Line JK

<----->

JK

Hope it helps :)

If fixed costs to print a certain Bible are $15,000 and
variable costs are $25 per Bible, what must be the selling
price to earn $10 per Bible if 5,000 Bibles are printed?

Answers

Answer:
$35 per bible

Explanation
15,000+25x=?
15,000+25(5,000)=?
15,000+125,000=?
140,000 - minimum price
10•5,000=?
50,000 - the additional cost for profit
125,000+50,000=?
175,000 - the price for production as a whole
175,000/5,000=?
$35 per bible
Or instead of all this work just add the $10 for profit to the $25 for production

The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

What is target profit?

The target profit is the profit that is expected by a manufacturer from the sale of its product.

The target profit can be established and used to determine the selling price.

When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.

Data and Calculations:

Fixed costs per print = $15,000

Number of Bibles per print = 5,000

Fixed costs per Bible = $3 ($15,000/5,000)

Variable costs per Bible = $25

Expected profit per Bible = $10

The selling price = $38

Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

Learn more about determining the selling price at https://brainly.com/question/1153322

x^2-x-42=0
Help I just need the line of symmetry

Answers

Answer:

Step-by-step explanation:

answers:      x = 7

    x = -6

let me know if you need anymore help.

mark me brainliest please.

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f.contigoPablo: Iris, voy a ir al mercado. Quieres irhair dos 2519 otomo IDUL:Om ohadhe size of Tol OMal mercado?moud One)Iris: Lo siento. No puedo ir .con migo. 2-10Tengo que estudiar. Por qu no invitas a Jorge?Pablo: Con Jorge? No quiero ir cops. tigoEs muy aburrido.Iris: Pues, invita a Mnica y Lourdes. A 4.ellas.aCles gusta mucho el mercado.Pablo:A ver. A Julio siempre le gusta ir al mercado. Voy a invitar aIris: Y Mam? Por qu no vas con 6. tiyl?Pablo: A 7.etano le interesa ir de compras. .Qu voy a hacer? need the answer please help What does the Seventh Amendment protect against?Athe will of a single judgeBtortureCbeing searched without a warrantDself-incrimination find the measures of the interior angles "Gavin was sick he did not get enough rest last night."Identify the choice that corrects this run-on sentence.A) Last night Gavin was sick he did not get enough rest.B) Gavin was sick he did not get enough rest last night or the night before.C) Because Gavin was sick, he did not get enough rest last night.D) Gavin was sick, he did not get enough rest last night. HELPPPP 80 POINTS Solve the right triangle.Round your answers to the nearest tenth Fran is going to transfer her credit card balance over to a new card. she has an existing balance of $752.69. her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt. the new card has an opening fee of $50, which is also added to her balance. she will also have to make an immediate minimum payment, which is 3.35% of her total balance. how much will her balance be after she makes this payment, assuming that she pays the minimum amount? round all dollar values to the nearest cent. a. $866.74 b. $868.40 c. $818.41 d. $926.82 please select the best answer from the choices provided a b c d Copper (II) chloride reacts with magnesium nitride The square of a number is 81 less than 18 times the number. Find the number Please hurry What is the surface area of this figure? Enter your answer in the box. Mr. Turner has two Algebra 1 classes. With one class, he lectured and the students took notes. In the other class, the students worked in small groups to solve math problems. After the first test, Mr. Turner recorded the student grades to determine if his different styles of teaching might have impacted student learning.Class 1: 80, 81, 81, 75, 70, 72, 74, 76, 77, 77, 77, 79, 84, 88, 90, 86, 80, 80, 78, 82Class 2: 70, 90, 88, 89, 86, 86, 86, 86, 84, 82, 77, 79, 84, 84, 84, 86, 87, 88, 88, 881. Analyze his student grades by filling in the table below. Which class do you think was the lecture and which was thesmall group? Why? Help me out please simple Which oath of ethics taken by doctors is named after an Ancient Greek physician? Why are the rich developed countries rich and why are the poor countries poor? Please answer thankyou!! In the roman soldier model for refraction, what happens to the first soldier who hits the muddy stream?a. they slow down and keep going straightb. they speed up and turn slightlyc. they speed up and keep going straightd. they slow down and turn slightly Read and choose the correct word for the blank that matches the image.Man basting roast turkey in preparation for Christmas dinner, his wife is chopping vegetables in the backgroundMi pap prefiere el ________. pltano verdura pavo mantequillaReally need this answer quick pls and thank you Question 3 of 10What is one major negative effect of globalization?O A. Large wars between countries have become morefrequentO B. The value of most natural resources has quicklydeclined.O C. Education is no longer available in most developingcountries.O Companies burn more fossil fuels to ship goods overseas. UNIT 5: CEREAL BOX PROJECT / PORTFOLIO HELP The functions f(x) = x2 2 and g(x) = x2 + 5 are shown on the graph.Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 2 y x2 + 5 Answer both of the following questions in one or two paragraphs each. Your response to both questions should total at least 150 words. 1) Describe Annie's voices and her experience at the asylum. 2) How does her description of the asylum affect the Captain and Mrs. Keller? If you were Helen's parent, how would it affect you?