Which one of the following is a correct equation?

Answer:

[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]

Answer:

11) 2√3

12) 4√3

Step-by-step explanation:

11)

tg60 = 6/x

x= 6/tg60

x= 6/ √3

x= 2√3

12)

a2= (b)2 + (c)2

a2= (6)2 + (√3)2

a2= 36 + 12 = 48

a= √48

a= 4√3

I hope this helps you :)

Step-by-step explanation:

The answer is A

Answer:

Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

Step-by-step explanation:

Since Container A holds 5 bottles of water each with a capacity of 250ml, while Container B holds 7 bottles of water each with a capacity of 175ml, to determine which container holds more water, the following calculation must be performed:

Container A:

250 ml x 5 bottles: Capacity

250 x 5 = X

1,250 = X

Container B:

175 ml x 7 bottles: Capacity

175 x 7 = X

1,225 = X

Therefore, Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

Answer:

1/4 of the cost

Step-by-step explanation:

Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?

Discounted price = 3/4 the original price

Each girl agreed = 1/3 of the cost

Amount each girl paid = 3/4 * 1/3

= (3 * 1) / (4 * 3)

= 3 / 12

= 1/4 of the cost

Amount each girl paid = 1/4 of the cost

9514 1404 393

Answer:

  10)  C 4/9

  11)  B 24

Step-by-step explanation:

10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...

  RS/LM = 6/9 = 2/3

Then the area ratio is ...

  (2/3)² = 4/9

__

11) Using the result of question 10, the area of ∆RST is ...

  (4/9)(54 in²) = 24 in²

6250 is 5% of 125000

Answer:

c

Step-by-step explanation:

Replacing x with 2, you get 5 as your answer

Answers:

26 math problems

16 science problems

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

Work Shown:

m = number of math problems

s = number of science problems

Since "you have 10 more math problems than science problems", we can say m = s+10

Also, we can say m+s = 42 because there are 42 problems total.

Replace m with s+10, which is the substitution rule, and solve for s like so

m+s = 42

s+10+s = 42

2s+10 = 42

2s = 42-10

2s = 32

s = 32/2

s = 16

You have 16 science problems

m = s+10

m = 16+10

m = 26

and you have 26 math problems

To check this, we would say m+s = 26+16 = 42 which confirms the answer.

I cant see ur image.........

Answer:

Natasha: $25000

Natalie: $40000

Nadia: $10000

Step-by-step explanation:

5 : 8 : 2

5 + 8 + 2 = 15

$75000 ÷ 15

$5000

$5000 × 5 = $25000

$5000 × 8 = $40000

$5000 × 2 = $10000

Answer:

Step-by-step explanation:

diameter=2*radius

=2*9

=18 in

given central angle=72 degree

arc length=central angle /360° *πd

=72/360 *3.14*18

=1/5 *56.52

=56.52/5

=11.304

Answer:

arc length=2πr×0.2

=2×3.14×9×0.2

=11.304 inch²

Answer:

1 1/2 miles

Step-by-step explanation:

Amy is going on a 4 1 /4 miles hike. She has already hiked 2 3 /4 ​ miles. How many more miles does she have left?

We solve the above question using the operation of Subtraction

The number of miles she has left is calculated by:

Total number of miles she must hike - Number of miles she has hiked

Total number of miles she must hike

= 4 1/4 miles

Number of miles she has hiked = 2 3/4 miles

Therefore:

The number of miles she has left to hike is = 4 1/4 miles - 2 3/4 miles

Lowest Common Denominator = 4

4 - 2 + ( 1/4 - 3/4)

2 + (1 - 3/4)

2 + -2/4

1 2/4

= 1 1/2 miles

Answer:

CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH

Step-by-step explanation:

sorry po

Answer:

I hope This will Help u.. Plz mark me as Brilliant please

Step-by-step explanation:

Before you get started, take this readiness quiz.

Simplify: 

If you missed this problem, review (Figure).

Solve Equations with Constants on Both Sides

In all the equations we have solved so far, all the variable terms were on only one side of the equation with the constants on the other side. This does not happen all the time—so now we will learn to solve equations in which the variable terms, or constant terms, or both are on both sides of the equation.

Our strategy will involve choosing one side of the equation to be the “variable side”, and the other side of the equation to be the “constant side.” Then, we will use the Subtraction and Addition Properties of Equality to get all the variable terms together on one side of the equation and the constant terms together on the other side.

By doing this, we will transform the equation that began with variables and constants on both sides into the form  We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.

Solve: 

Solution

In this equation, the variable is found only on the left side. It makes sense to call the left side the “variable” side. Therefore, the right side will be the “constant” side. We will write the labels above the equation to help us remember what goes where.



Since the left side is the “”, or variable side, the 8 is out of place. We must “undo” adding 8 by subtracting 8, and to keep the equality we must subtract 8 from both sides.

Use the Subtraction Property of Equality.Simplify.Now all the variables are on the left and the constant on the right.

The equation looks like those you learned to solve earlier.Use the Division Property of Equality.Simplify.Check:Let .

Solve: 



Solve: 



Solve: 

Solution

Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.

Answer:

Division property of equality

Step-by-step explanation:

[tex] - 2m = 40[/tex]

[tex]m = - 20[/tex]

1. 1080°

2. 36°

3. 27 diagonals

4. 140°

5. 7 sides

1. The sum S of the interior angles of a polygon is given by;

S = (n-2) x 180°

Where;

n = number of sides of the polygon.

Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;

S = (8 - 2) x 180°

S = 6 x 180°

S = 1080°

Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°

2. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a regular decagon where the number of sides n = 10, the sum is;

S = (10 - 2) x 180°

S = 8 x 180°

S = 1440°

Since the decagon is regular, then each of its interior angles is given by;

1440° / 10

=> 144°

Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;

The exterior angle of a regular decagon is;

180° - 144° = 36°

Therefore, the exterior angle of a regular decagon is 36°

3. The number of diagonals N of a polygon with n sides is given by;

N = [tex]\frac{1}{2} n(n-3)[/tex]

So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;

N = [tex]\frac{1}{2}*9(9-3)[/tex]

N = [tex]\frac{1}{2}*9(6)[/tex]

N = 9(3)

N = 27

Therefore, a nonagon has 27 diagonals.

4. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a nonagon where the number of sides n = 9, the sum is;

S = (9 - 2) x 180°

S = 7 x 180°

S = 1260°

Since the nonagon is regular, then each of its interior angles is given by;

1260° / 9

=> 140°

Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°

5. The sum of the interior angles of a polygon is given by;

S = (n - 2) x 180°

So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;

900° = (n - 2) x 180°

Divide through by 180°

5 = (n - 2)

Solve for n;

n = 5 + 2

n = 7

Therefore, the regular polygon has 7 sides.

Answer:20

Billions

Step-by-step explanation:

Answer:

Kjxiycdafgousdgkuafveligfasa

Answer:

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

Step-by-step explanation:

The control group is the one which is not subjected to any testing situation or condition.

While the experimental group is the one which is subjected to testing condition.

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

Answer:

dependent variable: circles drawn

independent: time

the independent variable is what you control, which was the time spent. the amount of circles you were able to draw depended on the amount of time you had, so it was the dependent variable.

part 2:

if you drew circles at the same rate

0-0

1-29

2-58

3-87

4-116

hope that helped! lemme know if you need more

Answer:

I dont think there is a way

Step-by-step explanation:

Answer:

y = At²/755

Step-by-step explanation:

A = 755y/t²

multiply both sides by t²

At² = 755y

Divide both sides by 755

At²/755 = y

Flip

y = At²/755

Answer:

Step-by-step explanation:

Answer: $33.28

Step-by-step explanation: 41.60x .20 = 8.32

41.60 - 8.32 = 33.28

Answer: the tree is 49.25

Step-by-step explanation:

The height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

For this case, referring to the attached figure below, we get:

Angle of elevation =∠ACB=44°

Distance of the base of the tree from the point of the ground = 51 feet

Height of the considered tree = h feet (assume).

Angle ACB denotes internal angle made by AC and CB line segments). It is the angle of elevation here, taking BC as horizontal line, and AC as elevated line.

Then, using the tangent ratio from the perspective of angle ACB, we get:

tan44°= h/51

h= 0.9657×51

h= 49.2507 feet

Therefore, the height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.

Learn more about tangent ratio here:

brainly.com/question/14169279

#SPJ6

Answer:

I Think 0x2 Or 4x + x3 I'm not 100% Sure

Step-by-step explanation:

I Tried..

Answer:

Time when both earnings are equal = 5:00 Pm

Step-by-step explanation:

Given:

Total earning of Deanne = 6.50x

Total earning of Stephanie = 9.10(x -2)

Work started at 10:00 am

Find:

Time when both earnings are equal

Computation:

Total earning of Deanne = Total earning of Stephanie

6.50x = 9.10(x - 2)

6.5x = 9.1(x-2)

6.5x = 9.1x - 18.2

9.1x - 6.5x = 18.2

2.6x = 18.2

x = 18.2 / 2.6

x = 7 hour

So,

Time when both earnings are equal = Work started at 10:00 am + 7 hour

Time when both earnings are equal = 5:00 Pm

Answer:

4c

Step-by-step explanation:

c + c +c+c​

Factor out c

c(1+1+1+1)

c(4)

4c

Answer:

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex]a^2+40^2=47^2\\[/tex]

Simplify,

[tex]a^2+1600=2209\\[/tex]

Inverse operations,

[tex]a^2=609[/tex]

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Answer:

b = 9 mm

Step-by-step explanation:

Using Pythagoras; identity in the right triangle

b² + 40² = 41²

b² + 1600 = 1681 ( subtract 1600 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9 mm

Answer:

It should be -24

Step-by-step explanation:

I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)

Answer:

c+d>15

Step-by-step explanation:

Usually there's more to the question.. the inequality doesn't look too right, but it could be.

Answer:

c+d>15

Step-by-step explanation:

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that [tex]x + y = 1.8[/tex].

As we want y, we have that [tex]x = 1.8 - y[/tex]

Lemonade costs 1.00 more than the cookie?

This means that:

[tex]y = x + 1[/tex]

So

[tex]y = 1.8 - y + 1[/tex]

[tex]2y = 2.8[/tex]

[tex]y = \frac{2.8}{2}[/tex]

[tex]y = 1.4[/tex]

The lemonade costs 1.4.