Sarah and Ethan are plotting points on a
coordinate grid. Sarah plots the point A(-2. – 3)
and Ethan plots the point B(1.2). What is the
distance between the two points?

Answer:

Step-by-step explanation:

[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]

Answer:

4. [tex]\displaystyle 38 ≈ x[/tex]

3. [tex]\displaystyle 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 52 ≈ x[/tex]

1. [tex]\displaystyle 15° ≈ m∠X[/tex]

Step-by-step explanation:

Before we begin, here are the formulas for both laws:

Solving for Angles

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]

Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]

Take the square root of the end result or you will throw it off!

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Solving for Angles

[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]

Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]

_____________________________________________

4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]

3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]

You could have also used the Law of Sines sinse the base angles are congruent [30°].

1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]

I am joyous to assist you at any time.

Answer: 5/9 yards

Step-by-step explanation:

From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.

To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:

= 5 / 9

Therefore, it means that Jack used 5/9 yards for each bag

Answer:

7- 110

11-70

about rest I don't know sorry

Answer:

3.60

Step-by-step explanation:

3c=7m

c=m+12 solve for m

To obtain the value of one unknown quantity linear equation in one variable can be formed. The cost of one mug is given as $21.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Given that,

The cost of 3 calculators = The cost of 7 mugs.

The cost of each calculator is $12 more than each mug.

Suppose, cost of each mug be x.

And, cost of each calculator is x + 12.

As per the question the following equation can be made,

7 ×(x + 12) = 3x

=> 7x - 3x = 84

=> 4x = 84

=> x = 21.

Hence, the cost for one mug is $21.

To know more about linear equation click on,

brainly.com/question/11897796

#SPJ5

Step-by-step explanation:

I have used substitution method here to find the value of x and y.

Answer:

x=16

Step-by-step explanation:

according to the geometric mean for altitude

8 squared = 4x

64=4x

x=16

if my answer helped please mark as brainliest.

Step-by-step explanation:

X = 16 .

16 is the correct answer of this question .

plz mark my answer as brainlist if you find it useful.

Answer:

(x+5)² = 16

Solution: -1 and -9

Step-by-step explanation:

Given the quadratic equation X^2+10x+22=13

Subtract 22 from both sides

X^2+10x+22-22=13-22

x^2+10x = -9

Complete the square

Add the square of half of coefficient of x to both sides

coefficient of x = 10

half of coefficient of x = 10/2 = 5

square of half of coefficient of x= 5² = 25

Add 25 to both sides

x²+10x + 25 = -9+25

(x+5)² = 16

Hence the required equation is (x+5)² = 16

(x+5)² = 16

square root both sides

√(x+5)² = √16

x+5  = √16

x +5 = ±4

x = +4 - 5 and -4-5

x = -1 and -9

Hence the solution to the equation is -1 and -9

Answer:

[tex]y < 85 \div \div 9614 = 88[/tex]

Ты лоххх

Answer:

you have to find the angels

Step-by-step explanation:

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values

[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

Answer:

c

Step-by-step explanation:

Answer:

12/19

Step-by-step explanation:

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

m=(7-19)/(-15-4)

m=-12/-19

m=12/19

Answer:

AC=1.88

Step-by-step explanation:

cos 20 = AC/2

0.9397 = AC/2

AC = 1.88

Answer:

X=2.8 when y =14

Step-by-step explanation:

[tex]5x = 14 \\ x = \frac{14}{5} \\ x = 2.8 [/tex]

Answer:

C

Step-by-step explanation:

She earns $487.50

375+75+37.5=487.5

Answer: c

Step-by-step explanation

First find the unit rate

$150 divided by 20 = $7.50

So she's earning $7.50 an hour

$7.50 times 65 hours = $487.50

So the correct answer is C

Answer:

B) 3+8=20-9 & D) 12+7=5+14

Step-by-step explanation:

3 + 8 = 11, 20 - 9 = 11

12 + 7 = 19, 5 + 14 = 19 :)

Answer:

(2+1×-3)(x) = 3×(-3)(x) =-9x

Answer:

(g · ƒ)(x) = –3x2 – 3

Step-by-step explanation:I took the test

Answer:

also click the first choice. It has 10 sides.

Step-by-step explanation:

1440=(N-180)-360

N-180=1080

n=10 sides

Answer: The answers would be A

Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?

Answer:

Step-by-step explanation:

Where are the equations to choose from?

14 pounds × (1 bag)/(¼ pound) = 56 bags

Answer:

48.72 km in 3 days.

Step-by-step explanation:

Given that,

A one-way trip is 8.12 kilometers.

We need to find the distance he travel in 3 days.

The distance traveled by Jim in one day to the bus and from school = 2(8.12) =  16.24 km

Distance traveled in 3 days = 3(16.24)

= 48.72 km

Hence, he will cover 48.72 km in 3 days.

Answer:

-1 :)

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

x = −1

Answer:

The minimum: 3

The lower Q: 7

The median: 7

The upper Q: 6

Maximum: 11

Step-by-step explanation:

Answer:

(-1,1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-5+3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(3+-1)/2 = 2/2 = 1

(-1,1)

make ,me as brainlist

Answer:

Decimal: 2.1

Fraction: 21/10

Answer:

-1/55

Step-by-step explanation:

exact form -1/55

decimal form -0.018

plz mark as brainliest

thank you

19NBoli

Answer:

[tex]-\frac{1}{55}[/tex]

Step-by-step explanation:

Hi! Ace here.

Whenever we have a positive being added to a negative, we can just do the positive subtracted my negative.

So let's rewrite this:

[tex]\frac{4}{5} -\frac{9}{11}[/tex]

When subtracting and adding fractions, we have to make sure there is a common denominator, and if there isn't a common denominator, then we make a common denominator. The LCM, in this case, is 55, so let's convert the fractions.

[tex]\frac{4}{5} *\frac{11}{11} =\frac{44}{55}[/tex]

[tex]\frac{9}{11} * \frac {5}{5} = \frac{45}{55}[/tex]

Since [tex]\frac{11}{11}[/tex] and [tex]\frac{5}{5}[/tex] both equal 1, the fraction is the same value.

Now we subtract normally with our "new" numbers.

[tex]\frac{44}{55}- \frac{45}{55}[/tex][tex]=-\frac{1}{55}[/tex]

I hope this helped, let me know if you have any questions.

is this the answer you're looking for? I'm sorry I'm confused

Answer:g(x) = (x+3)/(x2-4)

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

g(x) = (x+3)/((x+2)(x-2)

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is "x = all x not equal to -2 or 2".  In interval notation, the domain is:

(-∞,-2)U(-2,2)U(2,+∞)

On a number line, draw it as follows:

-∞ <======o=====o=======> +∞

                   -2            2

Step-by-step explanation: