mr.harrington drive 164 miles. his car used 8 gallons of gas. how many miles per gallon of gas does the car average

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 :)

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:

4c

Step-by-step explanation:

c + c +c+c​

Factor out c

c(1+1+1+1)

c(4)

4c

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:

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.

Step-by-step explanation:

The answer is A

Answer:

Step-by-step explanation:

the width of the first frame is 12cm because 120/10 = 12

the length of the second frame is 24cm because 288/12 = 24

Equation = 12 - -24 = ?

After keep, change, flip: 12 + 24 = ?

Answer = 36

Wait someone takes negative 24 or just 24?

If negative then it would be 36

If positive then it would be -12

Hope this helps! :)

Answer:

CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH

Step-by-step explanation:

sorry po

Answer:

the length of the rectangle times the wedth of the rectangele by 2

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:

c

Step-by-step explanation:

Replacing x with 2, you get 5 as your answer

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:

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:

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

Step-by-step explanation:

I Tried..

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:

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:

[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

6250 is 5% of 125000

Answer:

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

Answer: $33.28

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

41.60 - 8.32 = 33.28

Answer:

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

36(x + 4) = 36

Divide both sides by 36

x + 4 = 1

Subtraact 4 from both sides

x = -3

Answer:

-3

Step-by-step explanation:

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

Step-by-step explanation:

xa - xb = c

x (a - b) = c

× = c / (a -b)

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:

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:20

Billions

Step-by-step explanation:

Answer:

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